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Quantitative assessment of CA1 local circuits: Knowledge base for interneuron‐pyramidal cell connectivity

In this work, through a detailed literature review, data‐mining, and extensive calculations, we provide a current, quantitative estimate of the cellular and synaptic constituents of the CA1 region of the rat hippocampus. Beyond estimating the cell numbers of GABAergic interneuron types, we calculate their convergence onto CA1 pyramidal cells and compare it with the known input synapses on CA1 pyramidal cells. The convergence calculation and comparison are also made for excitatory inputs to CA1 pyramidal cells. In addition, we provide a summary of the excitatory and inhibitory convergence onto interneurons. The quantitative knowledge base assembled and synthesized here forms the basis for data‐driven, large‐scale computational modeling efforts. Additionally, this work highlights specific instances where the available data are incomplete, which should inspire targeted experimental projects toward a more complete quantification of the CA1 neurons and their connectivity. © 2013 Wiley Periodicals, Inc.


INTRODUCTION
In this assessment, we systematically evaluate available experimental data to quantify the connectivity of GABAergic interneurons and pyramidal cells within the rat CA1. The purpose of this work is to enable the quantitative characterization of the synaptic and cellular components of the circuit in order to form a knowledge base that can be used to construct and constrain data-driven computational models of the CA1 network. The knowledge base used for such models will likely serve other purposes as well; e.g., it can help define the limits of our collective knowledge (see below) and guide future theoretical and experimental studies. It is important to note that the present work is not a review in the conventional sense, as its purpose is not to offer a new synthesis or perspective of the existing literature, and, unlike a review, this study references previous experimental work solely to drive original calculations to quantify the CA1 network.
Are there sufficient data to assess quantitatively the CA1? Yes and no. Our survey reveals a surprising amount of detailed, quantitative information either directly available or indirectly derivable from existing, published data. However, the data are incomplete. Far from being a deterrent, the incompleteness of the data call for such an assessment: by determining what experimental data are missing, we highlight the specific work necessary to quantify fully the connectivity of the CA1. Given the amount of data already published about the CA1, this goal is quite achievable.
The CA1 network is one of the most studied areas in the mammalian brain. Both experimentalists and modelers are interested in the roles played by each interneuron type in the function of the CA1 network. As the field progresses in hypothesizing about and testing the roles of various CA1 interneurons and microcircuits, an idea of the relative abundance of each interneuron and its connections with other neurons has become important. To build a truly dataconstrained network model, the assembly of a current knowledge base is not just important, but a requirement.
The knowledge base we have produced here should inspire future projects for two reasons. One, our assessment is a single-frame shot of the state of our collective knowledge. Because of the fast-moving pace of research, it will need to be updated continually in the future. Two, the information would be more accessible in an online database. By publishing our assessment in this form, we hope to lay a framework upon which others can build an online system of sharing and calculating quantitative data. The systematic analysis and development of large, quantitative microcircuit connectivity data described in this article is an example of how the emerging framework of "Big Data" (Mayer-Schonberger and Cukier, 2013) can be applied to neurobiology. On the other hand, it is important to emphasize that, in many cases, because of the incompleteness of the available data, we were forced to make significant assumptions to complete our calculations. Aware that others may have chosen different strategies from us, we have laid out the article to facilitate exactly that. Each assumption is stated clearly and explicitly in the text, as well as listed in a table of assumptions. This table may serve as a survey of experimental work necessary to increase the precision of our quantification. We hope to accomplish two ends by laying out our work in this way: one, to maximize our use of the available experimental data and two, to ease the replacement of our assumptions with new experimental data as they become available.
The CA1 hippocampal subfield contains more than 21 types of interneurons (Klausberger and Somogyi, 2008) in addition to pyramidal cells. Decades of observation have produced information about their morphology, intrinsic properties, chemical markers, and connections (Freund and Buzsaki, 1996;Parra et al., 1998). However, quantitative, evidence-based estimates of the number and connectivity of each type have not yet been computed. Therefore, in this work we have calculated the relative numbers and connectivity of the most well-known interneuron types, based on existing experimental observations. When performing the calculations, we took advantage of the remarkable diversity of interneurons. Anatomically, interneurons vary in many characteristics: the arborization patterns of the dendrites and axon, the markers expressed (neuropeptides, receptors, calcium-binding proteins) and the layer in which the soma is usually found (Freund and Buzsaki, 1996;Soltesz, 2006;Ascoli et al., 2008). We combined experimental observations about many of these characteristics to arrive at estimates for each interneuron type. We then combined our initial calculations with published light and electron microscopic observations of morphology and synaptic density to estimate the connectivity of each interneuron type.

METHODS
In this work, we abbreviated some neuron types, the layers of the CA1, and all markers expressed by neurons, as shown in Table 1. Note that the calculations used in this assessment have been organized into a spreadsheet and online database and made available on our website, at http://www.ivansolteszlab.org/quantitativeassessment.html, so that others may easily reproduce or refine the calculations as more experimental data become available.

EXPLICIT, FORCED ASSUMPTIONS
In the course of the assessment, we sometimes came to a point where not enough data were published to continue with the calculations. In these cases, we usually chose to make what we felt were reasonable assumptions for the purpose of continuing the calculation to reach a rough estimate. Where we made these assumptions, we have clearly documented them. In some cases, we simplified the situation because we felt a reasonable estimate could be made without incorporating all the details or exceptions known for that situation. In other cases, a particular necessary value had not been published, so we picked a reasonable one and continued with the calculations. With each assumption, we marked in the text where it was made, as well as listed and explained it separately in Table 2. In Table 2, we have noted if any data have been published that are relevant to our assumption.

CALCULATION OF NEURON NUMBERS
We calculated cell numbers for the most published interneuron types included in Klausberger and Somogyi (2008). In determining the relative abundance of each interneuron type, we looked for characteristics that, when combined, uniquely identified a neuron type population. The key attribute that distinguishes the various interneuron types is the axonal arborization pattern, which defines where GABA is delivered on the distinct axo-somato-dendritic domains of postsynaptic neurons. However, for technical reasons, quantitative neuron counts cannot be made based on axonal arborization alone. Such an approach would require that we visualize and count all neurons of a single subtype within CA1 of a given animal, with each and every neuron's axonal arbor visualized and verified as belonging to that particular neuronal subtype, which is not currently experimentally feasible. Consequently, the calculation of neuron numbers was chiefly based on expression of  (Woodson et al., 1989;Aika et al., 1994). We chose 11% for this assessment after calculating the number of boutons each interneuron would be required to have for all the interneurons to fully cover the GABAergic synapses on all the pyramidal cells. 2 CA1 pyramidal cells are homogeneous. Pyramidal cells CA1 pyramidal cells vary in many properties as a function of factors such as dorsal/ventral location and depth within the pyramidal layer, for example (Mizuseki et al., 2011;Slomianka et al., 2011;Graves et al., 2012). However, in the absence of detailed quantitative information about how the bouton count and dendritic structure of the pyramidal cells vary with these factors, we have considered the bouton counts of a few CA1 pyramidal cells as representative of all pyramidal cells (Esclapez et al., 1999). 3 Each CA1 pyramidal cell synapses only once onto each postsynaptic CA1 pyramidal cell.

Pyramidal cells 4
Each CA1 pyramidal cell connection onto a CA1 interneuron comprises three synapses. Pyramidal cells We made these assumptions to determine the divergence of each CA1 pyramidal cell. Deuchars and Thomson (1996) studied the anatomy of one pyramidal to pyramidal cell pair that was found to have two synapses, but its EPSP amplitude was over twice that of the average and so we concluded that most pyramidal to pyramidal connections comprise one synapse. For the CA1 pyramidal cell to interneuron connections, we based our assumption on an observation that CA1 pyramidal cells generally contact O-LM cells with three synapses each (Biro et al., 2005). However, in the CA3, some pyramidal cell to basket cell connections were observed to include only one synapse Gulyas et al., 1993) and the EPSP amplitude range of these connections (Gulyas et al., 1993) was similar to that seen in connections in the CA1 (Ali et al., 1998). Yet, current clamp recordings of pyramidal cell to interneuron connections (bistratified and basket cells) in the CA1 revealed a large enough range in EPSP amplitude to suggest that at least some connections may comprise multiple synapses, especially connections onto bistratified cells (Ali et al., 1998) 5 Observations made in the dorsal CA1 are representative of the whole CA1.

Calculation of Neuron Numbers 6
The expression of COUP-TFII in interneurons dorsally is representative of the whole CA1. Neurogliaform family cells Some properties (marker expression, frequency of certain cell types) vary between dorsal and ventral CA1 (Kosaka et al., 1987;Nomura et al., 1997aNomura et al., ,1997bFuentealba et al., 2010). Where possible, we averaged values from both sides. In some cases, only dorsal area observations were available. Therefore, our findings will be more representative of the dorsal CA1. 7 All nNOS1/NPY1 cells are either ivy cells or neurogliaform cells.

Neurogliaform family cells
We considered nNOS and NPY to generally indicate neurogliaform family cells (Price et al., 2005;Fuentealba et al., 2010), though we resorted to different criteria in the stratum lacunosum-moleculare because some nNOS1/NPY1 cells there were found to not be neurogliaform family cells (Price et al. 2005). Ivy and neurogliaform cells have similar marker expression profiles (see Armstrong et al., 2012), so we separated them by layer and reelin expression. 13 Ivy and neurogliaform cells make 10 classical synapses on each postsynaptic cell. Neurogliaform family cells Most neurogliaform family cell boutons do not participate in classical synapses (i.e., do not have a corresponding postsynaptic element) but instead rely on volume transmission (Olah et al., 2009, in somatosensory cortex). For our convergence calculations, we found No. Explicit, forced assumption Section it necessary to assume a number of corresponding postsynaptic elements (classical synapses) for each connection. We based this number on a prediction made about classical synapses on observations of neurogliaform cell to pyramidal cell connections in the neocortex (Tamas et al., 2003). 14 All stratum oriens SOM1/CB1 cells projecting to the septum are double projection cells.
Double projection cells are known to express SOM and CB and to project to the septum (Toth and Freund, 1992;Somogyi and Klausberger, 2005;Jinno et al., 2007). Though there appear to be other, minor groups projecting to the septum (Hajos and Mody, 1997;Katona et al., 1999a;Ferraguti et al., 2005;Jinno, 2009), they have not been shown to express SOM and CB together.

SOM1 cells 15
All SOM1 cells projecting to the subiculum are either double projection or oriensretrohippocampal cells.

SOM1 cells
Of the projection cells, four types are known to target the subiculum: double projection, oriens-retrohippocampal, radiatum-retrohippocampal, and trilaminar (Klausberger and Somogyi, 2008). We separated these into two groups by their SOM expression. 16 Projection interneurons of the stratum oriens with axons in strata oriens and radiatum have the same number of local boutons as do the so-called back projection cells.

SOM1 cells 17
Projection interneurons of the stratum oriens with axons in strata oriens and radiatum have the same laminar distribution of local boutons as do conventional bistratified cells.

SOM1 cells
For several projection cell types, their cell numbers could be estimated but we had no direct observations of their bouton counts or distribution. Because their axon arbors are similar to those of the so-called back projection cells (both the laminar distribution and the small number of local targets; Sik et al., 1994) and conventional bistratified cells (laminar distribution; Sik et al., 1995), we used information from those types to estimate total bouton counts and distribution respectively, which enabled us to calculate local convergence. 18 All SOM+ cell types contact their postsynaptic targets with 10 synapses each. SOM1 cells A light microscopy study of O-LM to pyramidal cell connections showed a range of three to 17 potential synapses per connection (Maccaferri et al., 2000). We took the average of 10 synapses per connection, assuming the potential synapses made actual contact. For projection cells whose axons mainly ramify in the strata radiatum and oriens (formerly known as oriens-bistratified cells), a connection was observed to comprise 10 potential synapses (Maccaferri et al., 2000). Therefore, we assumed that all SOM+ cells contacted their postsynaptic targets with 10 synapses. 19 The ratio of PV1 basket cells:bistratified cells:axo-axonic cells within the stratum pyramidale is the same as the ratio in other layers.

Parvalbumin expressing cells
In the absence of data about the composition of the PV1 cells in the stratum radiatum and oriens, we assumed it was similar to the stratum pyramidale. Though this assumption may favor PV1 basket cells, the majority of PV1 cells are located in the stratum pyramidale, and so we felt observations made in the stratum pyramidale could be treated as broadly representative of PV1 cells in the whole CA1 without introducing significant error. 20 Axo-axonic cells have an average of 7,200 boutons each. Parvalbumin expressing cells We based this assumption on the published divergence of a single axo-axonic cell and on the observed number of synapses made for one connection onto a pyramidal cell (Li et al., 1992). 21 The ratio of PV1:CCK1 basket cell boutons in the entire CA1 is 1.6:1. CCK expressing cells We averaged data regarding the relative frequency of PV1 and CCK1 basket cell boutons on pyramidal cell somata and in the pyramidal layer of the mouse CA1 Wyeth et al., 2010). We took this ratio to be representative of the total number of Only basket cells synapse on the somata of pyramidal cells. Perisomatic GABA1 synapses Though other cell types sometimes synapse on pyramidal cell somata, such as bistratified, ivy, or trilaminar cells (Ferraguti et al., 2005;Buhl et al., 1994a;Fuentealba et al., 2008a), we assumed that their contribution was minor in our calculations of interneuronal convergence onto pyramidal cells. 23 Basket cells in the stratum radiatum are likely CCK1 basket cells.

CCK expressing cells 24
CCK1 basket cells are found in all layers of the CA1. CCK expressing cells Many CCK1 basket cells are located in the stratum radiatum; therefore, we assumed unlabelled basket cells in the stratum radiatum were representative of CCK1 basket cells. However, CCK1 basket cells are also found in every other layer of the CA1, even in the stratum lacunosum-moleculare (Vida et al., 1998

CCK expressing cells
To gain a rough idea of the numbers of CCK1 cell types, we identified them based on their characteristic layer (Klausberger and Somogyi, 2008). However, various CCK1 cell types are found in more than one layer. For example, here we assumed that PPA cells were only in the stratum lacunosum-moleculare, but in reality they are occasionally found in the stratum radiatum (Hajos and Mody, 1997) and even once in the stratum oriens . 28 All CCK1/VIP1 and CCK1/VGLUT31 GABAergic cells are CCK1 basket cells. CCK expressing cells However, ADI cells have been shown to express VGLUT3 , but it is not known what proportion of them express VGLUT3. 29 CCK1 basket cells do not express CB; all CCK1/CB1 cells are non-basket cell types.

CCK expressing cells 30
All the CCK1/CB-cells in the strata oriens and pyramidale are CCK1 basket cells.

CCK expressing cells 31
Lesser known CCK1 cell types are found in the strata oriens and pyramidale. CCK expressing cells Since no CCK1 basket cells have been found to express CB, we assumed that any CCK1/CB1 cells were not basket cells. Little has been published about the lesserknown CCK1 cell types, so we assumed they made up the remaining non-basket cell types in the strata oriens and pyramidale. 32 The septotemporal and mediolateral bouton distribution of CCK1 basket cells is the same as for PV1 basket cells.

CCK expressing cells
We made this assumption so that we could extrapolate from the slice data to a full axonal bouton count for CCK1 basket cells, using PV1 basket cell bouton distribution data (Halasy et al., 1996). 33 CCK basket cells make eight synapses per connection with other interneurons. CCK expressing cells We made this assumption because they have been shown to make eight synapses/connection with pyramidal cells in mouse . However, it has been shown that PV1 basket cells make only one or a few synapses per connection with interneurons (Sik et al., 1995) despite making many synapses per connection on pyramidal cells (Foldy et al., 2010, in mouse). It is not known whether CCK1 basket cells also display this difference with connections onto interneurons, so we assumed they did not. 34 SCA cell and PPA cell axons are distributed such that approximately 50% of their boutons are located outside of a 400 mm thick slice containing the soma. The bouton counts for an SCA cell and for a PPA cell were only available for a 400 mm slice (Vida et al., 1998). To extrapolate this count to a total bouton count for the entire SCA or PPA axon, we compared bouton count data for a bistratified cell in a 400 mm slice (Pawelzik et al. 2002) and in a full axon fill (Sik et al., 1995). We found that, for the bistratified cell, the full axon fill had about double the boutons as the slice, so we assumed the same would be true of the SCA cell axon and the PPA cell axon.
CCK expressing cells neurochemical markers. Note that electrophysiological properties are also important in the definition of the cell type. The electrophysiological characteristics of the cell types are an integral part of most of the articles on which this work is based, and are therefore implicitly used in the grouping and definition of each cell type.

No. Explicit, forced assumption Section 35
All IS cells express CR or VIP or both.

Interneuron-specific cells 36
All cells that express CR or VIP are IS I, II, or III cells, except for CCK1/VIP1 basket cells and CR1 septally projecting cells.
Interneuron-specific cells 38 All VIP1 cells are CCK1/VIP1 basket cells or IS cells.
Interneuron-specific cells CR is generally a marker of interneuron specificity, but not all IS cells are known to express CR (Acsady et al., 1996a(Acsady et al., ,1996bGulyas et al., 1996;Somogyi and Klausberger, 2005). Those that do not may express VIP (but so do some basket cells). Therefore, we took CR and VIP to be the most reliable markers of interneuron specificity and considered that the various combinations of the two markers identified different types of IS cells. Enkephalin may also be expressed by IS cells (Fuentealba et al., 2010), but it is also expressed by non-IS cells (Price et al., 2005) so we have not derived any information from its expression. 39 Approximately 10% of GABAergic cells in the CA1 express calbindin.
Other cells It has been previously estimated that 10% of GABAergic cells are CB1 (Freund and Buzsaki, 1996). 40 Averaging the inputs to the CA1 from a CA3a and CA3c cell represents the inputs from an average CA3 cell.
Glutamatergic afferents of the CA1 There are known to be significant differences in bouton count and distribution in pyramidal cells from CA3a and CA3c Wittner et al., 2007). Since we had data from both areas, we combined it to calculate the laminar distribution and total CA1 divergence of an average CA3 pyramidal cell. 41 For those cell types for which their ratio of innervation of pyramidal cells to interneurons is unknown, the bouton target ratio of 92:8 (pyramidal cell:interneuron) is adequate.
Neuron Numbers, Boutons, and Divergence We determined the ratio as described in the methods. This ratio took into account the proportion of pyramidal cells and interneurons as well as their numbers of GABAergic input synapses. In reality, the ratio is likely to be even more skewed towards pyramidal cells because some interneurons receive a significant amount of inhibition from afferent GABAergic neurons. 42 Unless stated otherwise, the proximally projecting cell types only contact postsynaptic pyramidal cells on the basal dendrites in the stratum oriens and proximal apical dendrites in the stratum radiatum.

Proximal dendritic GABA1 synapses
Some bistratified cells, ivy, or SCA cells have been shown to make occasional synapses in the strata pyramidale or lacunosum-moleculare (Buhl et al., 1994a;Vida et al., 1998;Szabo et al., 2012), and their contribution to those layers has been quantified here. Those synapses counted as being in the stratum pyramidale, we have assigned to the proximal apical or basal dendrites. 43 Unless stated otherwise, the distally projecting cell types only contact postsynaptic pyramidal cells on the distal apical dendrites in the stratum lacunosom-moleculare.
Distal dendritic GABA1 synapses This assessment still accounts for some neurogliaform cell boutons in the stratum radiatum (especially because some neurogliaform cells are found in the stratum radiatum, Somogyi et al., 2012) and some O-LM cell boutons in the stratum oriens (Sik et al., 1995), but assumes that PPA cells only synapse in the stratum lacunosum-moleculare since there are no quantitative data about them in other layers. 44 The entorhinal cortex supplies most of the excitatory inputs to the stratum lacunosummoleculare.
Glutamatergic afferents of the CA1 Though the nucleus reuniens supplies a significant portion of excitatory inputs to the stratum lacunosum-moleculare (Wouterlood et al., 1990), not enough information is yet available to quantify their contribution, so we have assumed that the excitatory inputs to the stratum lacunosum-moleculare are supplied by the entorhinal cortex (Witter et al., 1988).
Related assumptions are grouped together; explanatory text accompanies each assumption. The section headings of the assessment where the assumptions were made are also included.
By necessity, we often considered co-expression of a certain marker combination as a signature of a particular interneuron type. However, not all interneurons of a given type necessarily express markers reliably enough to be detected, so that a calculation of neuron numbers for that type may be low, as noted in the text. Also, for some marker combinations, lesser known neuron types may contribute to the population, such that the calculation overestimates a cell type. For example, calretininexpressing projection interneurons may inadvertently contribute to the calculation of interneuron-specific I and III cells. These potential issues are noted in discussion of the relevant neuron types within the text, and we have addressed these issues where possible. After completing our analysis, a small percentage of neurons remained undefined; this number represents the leeway on the calculated neuron types plus the contribution of the lesser known neuron types, for which we could not estimate their number.
In some cases, we used marker expression by layer to refine our estimates. For definitions of the hippocampal layers, we followed the descriptions in Andersen et al., 2007, chapter 3, section 3.4.2. While layer position is not sufficient to identify neuron types, quantitative data are often layer-specific and could be used as a guide for differentiating similar neuron types. For example, when estimating the numbers of CCK1 neurons other than basket cells, we assumed CCK1 neurons in the stratum lacunosum-moleculare were perforant path-associated cells, while those in the stratum radiatum were Schaffer Collateralassociated or apical dendritic innervating cells. Mindful that species, strain, sex, and age variations could introduce inconsistencies into our assessment, we tracked these factors for each study we included. All research to which we refer was performed in rats unless explicitly noted otherwise. Table 3 gives the strains, sexes, ages, and weights of the animals used.
In addition, we tracked the methods employed by the references to obtain the marker expression data used in our assessment. Almost all references employed some form of immunochemistry; a few references also used other methods. The only marker expression reference that did not use immunochemistry was Sik et al. (1994), which instead used NADPH diaphorase histochemistry to determine the presence of nNOS. A few references used additional methods. Fuentealba et al. (2008bFuentealba et al. ( , 2010 and Tricoire et al. (2010)  To arrive at more detailed estimates, we made assumptions about the marker expression, laminar distribution, and relative abundance of various neuron types. All assumptions are listed separately in Table 2, as well as in the text. In general, we did not account for any gradients or heterogeneity in the distribution of individual neuron types. For example, throughout the calculations we assumed the CA1 was homogenous along the septotemporal axis. We averaged observations made in dorsal and ventral CA1 where available, or in some cases took observations made in the dorsal CA1 to be representative of the entire CA1. We made these simplifications though gradients and heterogeneity in marker expression have been shown for some markers in both principal neurons and interneurons (Kosaka et al., 1987;Nomura et al., 1997aNomura et al., ,1997bFuentealba et al., 2010). These simplifications should be revisited in models where dorsal/ventral differences are of interest. Additionally, cellular properties and connectivity can vary as a function of depth within a layer or other factors (Mizuseki et al., 2011;Slomianka et al., 2011;Graves et al., 2012). Therefore, we made these simplifications because not enough information is available to incorporate these characteristics into our estimates, although these factors are important for certain aspects of hippocampal function.
For some interneuron types, there were not sufficient data to calculate cell numbers, so we were unable to include the cell type here. Types that were excluded due to lack of data include large calbindin and RADI cells, as well as potentially other cells that are lesser known and therefore not included within the review of Klausberger and Somogyi (2008).

CALCULATION OF CONNECTIVITY
For many neuron types, estimates were available of the total boutons per axonal arborization. We multiplied these estimates by the total number of each neuron type as calculated here to get the total number of boutons available for synapsing on postsynaptic neurons. Then we combined these data with the pyramidal cell and interneuron electron microscopy (EM) data to obtain the final convergence and divergence estimates in terms of synapses on a pyramidal cell or interneuron. These calculations allow us to determine the overall connectivity of each neuron type, but do not allow us to calculate the local connection probability. To do so would require knowledge of the bouton distribution within the axonal extent, as well as the density of neurons of each type and their dendritic extents. However, we have still included data on the axonal extent of each neuron type wherever possible.
The total number of synapses onto a pyramidal cell has previously been calculated. Megias et al. (2001) measured dendritic length and synapse density, multiplying the two to calculate the total synapses. They estimated the number of synapses on each type of dendrite across all layers for a pyramidal cell within the dorsal CA1 (Megias et al., 2001). We took this work as the basis for our calculations of synaptic convergence onto CA1 pyramidal cells. There was not sufficient information to calculate the convergence onto each interneuron type. Instead, we calculated the convergence onto a hypothetical average interneuron to gain a very rough understanding of the possible connectivity among interneurons. This concept of a hypothetical average interneuron provided us with a mechanism to compare our calculations of the GABAergic boutons available to synapse on interneurons with experimental data about synapses on several neurochemical classes of interneuron (Gulyas et al., 1999;Matyas et al., 2004). Given the remarkable diversity of interneurons (Soltesz, 2006), we do not intend  Miles et al. (1996) Guinea pig Miyashita and Rockland (2007) Male Wistar Adult -for this average to characterize any particular interneuron in the CA1.

RESULTS
First, we estimated the number of most types of interneuron as shown in Table 4 and Figures 1 and 2. For those types that had sufficient data, we also calculated their bouton (output synapse) numbers, as well as the bouton distribution as a function of layer and postsynaptic neuron class, to estimate the divergence of each interneuron type (Table 5). Next, we calculated the convergence of each interneuron type and major excitatory afferent type (input synapses) onto pyramidal cells and onto a hypothetical average interneuron.

Neuron Numbers, Boutons, and Divergence
Here, we began by estimating the total number of neurons in the rat CA1 as 350,000, within the range found for 30-day-old Wistar rats (320,000-380,000) (West et al., 1991). GABAergic interneurons constitute 7 to 11% of all hippocampal neurons (Woodson et al., 1989;Aika et al., 1994). To get a more precise estimate, we calculated the average number of boutons each interneuron would need to have available to synapse on pyramidal cells if the total fraction of GABAergic neurons were 7% or 11%. At 7%, given that CA1 pyramidal cells receive approximately 1,830 GABAergic synapses on their dendrites, somata, and proximal axons (Megias et al., 2001), each interneuron would need to have 24,310 boutons available for synapsing onto pyramidal cells. However, with a fraction of 11%, each interneuron would need only 14,810 boutons to synapse on pyramidal cells, within the range of bouton counts seen for most interneurons. Though neurogliaform family cells have many more boutons, when only the boutons contributing to classical synapses are considered (Olah et al., 2009), the numbers are also within range. Therefore, we generated the following estimates using the interneuronal fraction of 11%, for a total of 311,500 pyramidal cells and 38,500 GABAergic interneurons (note that the 11% interneuronal fraction is listed as an assumption in Table 2). "-" Indicates the information was not provided in the reference.

QUANTITATIVE ASSESSMENT OF CA1 LOCAL CIRCUITS
Note that, for calculating both divergence and convergence as a function of neuron class (pyramidal or interneuron), we needed each interneuron's preference for innervating pyramidal cells over interneurons. For some neuron types, these data have been published. For those types for which the data were not available, we assumed they innervated their postsynaptic targets in the ratio of 92 pyramidal cell synapses to eight interneuron synapses. To arrive at this ratio, we performed the following calculation. We first calculated the average number of GABAergic synapses made onto interneurons (Table 6) using published data about the GABAergic synapses onto various interneuron types (Gulyas et al., 1999;Matyas et al., 2004;Takacs et al., 2008) and our estimated neuron numbers. We weighted the number found on PV1 cells by the calculated number of PV1 basket, bistratified, and axo-axonic cells, the number found on CCK1 basket cells by the number of CCK1 basket cells, the number found on CR1 cells by the total number of IS I and IS III cells, and the number found on hippocampalseptal cells by the number of septally projecting cells to get an average of 1,274 GABAergic input synapses per interneuron (Table 6). We then multiplied this average by the estimated number of interneurons in the CA1 and compared it to the total number of GABAergic synapses on all pyramidal cells in the CA1. We found that GABAergic synapses onto interneurons make up only 8% of all GABAergic synapses in the CA1, while GABAergic synapses onto pyramidal cells make up the other 92%. Therefore, when the preference for innervating pyramidal cells over interneurons was not reported for a given neuron type, we assumed the ratio was 92:8 pyramidal cells:interneurons (Table 2).

Pyramidal cells
Pyramidal cell numbers. Though CA1 pyramidal cells are increasingly recognized to be more heterogeneous than previously realized (Mizuseki et al., 2011;Slomianka et al., 2011;Graves et al., 2012), in the absence of detailed, quantitative information, we considered them as one homogenous group of 311,500 cells (see assumption in Table 2).
Pyramidal cell boutons and divergence. We calculated the total boutons on a CA1 pyramidal cell axon using the observed axon length and bouton density (Esclapez et al., 1999). Esclapez et al. (1999) provided bouton density measurements as a function of axonal segment branch order for CA1 pyramidal cells. Although the axonal length was computed from an axon fill in a slice, the axon fills were selected from those that appeared to be fully contained within the slice (Esclapez et al., 1999). In a representative CA1 pyramidal axonal arbor, segments of third or fourth order constituted most of the axonal length; therefore we used an average of the bouton densities of the third and fourth order segments (13.56 boutons per 100 lm) multiplied by the average total axonal length (3,732 lm) to obtain a total of 506 boutons per CA1 pyramidal cell within the CA1. Takacs et al. (2012) recently observed that 39% of local collateral boutons synapse on other pyramidal cells in vivo, so we calculated that each pyramidal cell makes 197 synapses onto other pyramidal cells. We were also interested in the number of synapses made per connection to calculate the divergence, or total number of connections made, onto other pyramidal cells. We assumed that CA1 pyramidal cell local collaterals made one synapse onto each postsynaptic pyramidal cell (Table 2). In a study of pyramidal to pyramidal cell pairs within the CA1 (Deuchars and Thomson, 1996), a pyramidal to pyramidal connection comprising two synapses was found. However, its EPSP amplitude was over twice the average amplitude of the other recorded pairs, so we assumed it was an exception. Therefore, we calculated that each pyramidal cell diverges to contact 197 other CA1 pyramidal cells. Takacs et al. (2012) also found that CA1 pyramidal cells make 54% of their local synapses onto interneurons. To calculate their divergence onto interneurons, we estimated the The fraction is computed on the basis of 38,500 interneurons. Note that this table does not include some cell types for which little information is known. Also, the interneurons in the "other interneurons" category do not count toward any of the laminar totals. a The Other SOM1 Cells category has the number of PV1 bistratified cells in the stratum oriens subtracted, since most of these cells are likely to express SOM.
number of synapses forming each pyramidal cell to interneuron connection. Biro et al. (2005) observed that a single CA1 pyramidal cell to O-LM cell connection comprised, on average, three synapses. Although some pyramidal cell to basket cell connections in the CA3 were observed to include only one synapse Gulyas et al., 1993), current clamp recordings of pyramidal cell to bistratified cell connections in the CA1 revealed a large enough range in EPSP amplitude to suggest that some connections include multiple synapses (Ali et al., 1998). Therefore, we assumed that CA1 pyramidal cells made, on average, three synapses onto each postsynaptic interneuron (Table 2). We then calculated that each CA1 pyramidal cell diverges to innervate 91 interneurons. Aside from the 39% of synapses made onto other pyramidal cells and the 54% made onto interneurons, there are an additional 7% of local synapses made onto unknown targets (Takacs et al., 2012). Therefore, each CA1 pyramidal cell contacts an additional 11 to 35 unknown, local targets.

Neurogliaform family cells
Neurogliaform family cells, including ivy and neurogliaform cells, form the most abundant group of interneurons within the CA1 (for a review, see Armstrong et al., 2012). They often express neuronal nitric oxide synthase (nNOS), neuropeptide Y (NPY), and a-actinin-2, as well as the nuclear receptor COUP-TFII (Price et al., 2005;Fuentealba et al., 2010). We first calculated the number of COUP-TFII1 cells and then used data about the co-expression of COUP-TFII with nNOS and NPY or a-actinin-2 to estimate the number of ivy and neurogliaform cells. We assumed that all nNOS1/NPY1 cells in the strata oriens, pyramidale, and radiatum were either ivy or neurogliaform cells (Table 2). However, Price et al. (2005) found that, in the stratum lacunosum-moleculare, some nonneurogliaform cells also expressed nNOS or, more rarely,  Li et al. (1992). t Buhl et al. (1994b). u Vida et al. (1998). ML: mediolateral, ST: septotemporal, PD: proximodistal, RC: rostrocaudal. Proj: projection. nNOS and NPY. Therefore, in our calculations for neurogliaform cells in the stratum lacunosum-moleculare, we relied on a-actinin-2 expression only.
Though there is known to be a dorsal/ventral gradient in the expression of COUP-TFII, we assumed the expression of COUP-TFII in interneurons dorsally is representative of the whole CA1 (Table 2). Approximately 42% of GABAergic neurons in the CA1 express COUP-TFII (Fuentealba et al., 2010). Conversely, about 98% of COUP-TFII expressing neurons in the CA1 are GABAergic. Combining these two observations ( Fig. 3), there are roughly 16,500 COUP-TFII expressing neurons in the CA1 and 16,170 COUP-TFII1/GABAergic neurons in the CA1. We combined this estimate of COUP-TFII1 neurons with their experimentally observed laminar distribution (Fuentealba et al., 2010, see their Supporting Information Fig. 1A) to get the total number of COUP-TFII1 neurons per layer, as shown in Table 7. Next, we used these numbers to calculate the number of ivy and neurogliaform cells. Because the assays looked at the coexpression of various markers with COUP-TFII, but not GABA, we performed our calculations on the basis of COUP-TFII1 neurons, rather than GABAergic COUP-TFII1 neurons. However, we considered any neurons expressing nNOS or NPY to be GABAergic. tealba et al., 2008a) but not reelin (Fuentealba et al., 2010;Armstrong et al., 2012). Their somata are generally found in the stratum pyramidale and sometimes in the strata radiatum or oriens (Fuentealba et al., 2010;Somogyi et al., 2012). Not all ivy cells express COUP-TFII (Fuentealba et al., 2010), so nNOS/NPY expression is a better indicator of ivy cells than the presence of COUP-TFII with nNOS and NPY. No other cell type in the stratum pyramidale is known to express both nNOS and NPY, though bistratified cells express NPY (Klausberger et al., 2004;Fuentealba et al., 2008a) and interneuronspecific III cells may express nNOS (Tricoire et al., 2010, in mouse).

Ivy cell numbers. Ivy cells express nNOS and NPY (Fuen
From Table 7, there are 5,780 COUP-TFII expressing cells in the stratum pyramidale. Approximately 59% of these cells express nNOS and NPY (Fuentealba et al., 2010, see their Supporting Information Table 2), giving a total of 3,410 COUP-TFII1/nNOS1/NPY1 cells in the stratum pyramidale. It is known that 63% of nNOS1/NPY1 cells in the stratum pyramidale express COUP-TFII (Fuentealba et al., 2010, see their Supporting Information Table 2). Using the logic in Figure 4a, we determined there are about 5,410 nNOS1/ NPY1 cells, the putative ivy cells, in the stratum pyramidale.
We repeated this exercise for nNOS1/NPY1 cells in the stratum oriens. Approximately 34% of the 2,310 COUP-TFII1 cells in the stratum oriens are also nNOS1/NPY1  (Gulyas et al., 1999;Matyas et al., 2004;Takacs et al., 2008)  The calculated number of each interneuron class is also given. We calculated the average number of GABA2 and GABA1 synapses per interneuron, weighting the average by the total number of cells in each class. a We used the reported laminar distributions of the dendrites of the cells in each class to determine which interneurons were included in that class (Gulyas et al., 1999;Matyas et al., 2004;Takacs et al., 2008). N/A: not applicable. Venn diagram showing how the number of COUP-TFII expressing cells in the CA1 was calculated. Known data: 42% of GABAergic cells express COUP-TFII and 98% of COUP-TFII cells are GABAergic (Fuentealba et al., 2010); 38,500 of CA1 cells are GABAergic (Table 2). Derived data: total number of COUPTFII1 cells in the CA1 (16,500). We then used the calculated number of COUP-TFII1 cells to estimate the abundance of other classes of cells. [Color figure can be viewed in the online issue, which is available at wileyonlinelibrary.com.] The percent of COUP-TFII expressing cells found in each layer is listed, as well as the number of cells assuming a basis of 16,500 COUP-TFII expressing cells. Percentages from Fuentealba et al. (2010), see their Supporting Information Figure 1A. (Fuentealba et al., 2010, see their Supporting Information Table 2). Though some projection cells may express nNOS (Sik et al., 1994) and double projection cells can express NPY (Klausberger, 2009), no other cell type in the stratum oriens is known to be nNOS1/NPY1. Therefore, we assumed all nNOS1/NPY1 cells in the stratum oriens were ivy cells (Table 2). Using the logic in Figure 4b, we estimated there are roughly 980 ivy (nNOS1/NPY1) cells in the stratum oriens.
For the ivy cells in the stratum radiatum, we first calculated the number of nNOS1/NPY1 cells. Then we considered that neurogliaform cells may also contribute to the nNOS1/NPY1 cell count in the stratum radiatum, as neurogliaform cells are often found at the border of the stratum radiatum and lacunosum-moleculare (Klausberger and Somogyi, 2008). Ivy cells predominate in the stratum radiatum : coexpression data of NPY and nNOS with reelin, a neurogliaform cell marker (see Armstrong et al., 2012), showed reelin-expressing cells constituted only 20% of nNOS1/NPY1 cells in the stratum radiatum. Following the logic in Figure 4c, we determined there are 3,030 nNOS1/NPY1 cells in the stratum radiatum. Applying the observation by Somogyi et al. (2012) of reelin expression in the stratum radiatum, we calculated that 2,420 (80%) of the nNOS1/NPY1 cells are ivy cells (Table 2). We estimated a total of 8,810 ivy cells across strata oriens, pyramidale, and radiatum.
Neurogliaform cell numbers. Neurogliaform cells are found in the stratum lacunosum-moleculare or at the border of the distal stratum radiatum (Vida et al., 1998), and they can express NPY, a-actinin-2, or nNOS (Price et al., 2005;Fuentealba et al., 2010). According to a recent report, there are at least two subsets of neurogliaform cells: those that arise from the MGE and those that arise from the CGE (Tricoire et al., 2010, in mouse). Those cells derived from the MGE are expected to express nNOS and those from the CGE to express COUP-TFII. However, a significant coexpression of COUP-TFII and nNOS has been found for cells in all layers of the CA1 (Fuentealba et al., 2010). Further, there is evidence for a CGE origin for some nNOS1 cells (Tricoire et al., 2010, in mouse;Tricoire and Vitalis, 2012). Therefore, neurogliaform cells do not necessarily cleanly separate into two groups when taking into account both neurochemical identity and origin. This may be due to interspecies differences, a dorsal/ventral gradient in expression, different methods of observation, or other factors. To estimate the expression of nNOS by neurogliaform cells, we calculated the percent of NPY1 cells in the stratum lacunosum-moleculare that co-express nNOS (Fuentealba et al., 2010, see their Supporting Information Table 2). In the stratum lacunosum-moleculare, the fraction of NPY1 cells that also express nNOS ranges from 41% to 85% (Table 8) depending on the combination of neurochemical markers tested in the assay (Fuentealba et al., 2010, see their Supporting Information Table 2). Data about co-expression of nNOS with aactinin-2 were also available, though not as a function of layer. Overall, 46 to 63% of a-actinin-21 cells throughout the CA1 expressed nNOS (Price et al., 2005;Fuentealba et al., 2008a, see their Supporting Information Table S2).
A more reliable marker of neurogliaform cells would be NPY or a-actinin-2 (Vida et al., 1998;Ratzliff and Soltesz, 2001;Price et al., 2005). Approximately 71% of neurogliaform cells in the stratum lacunosum-moleculare express a-actinin-2 (Price et al., 2005). In the stratum lacunosum-moleculare, 100% of a-actinin-21 cells express COUP-TFII, while 45% of COUP-TFII1 cells express a-actinin-2. We calculated the number of a-actinin-2 expressing cells in the stratum lacunosum-moleculare using the logic in Figure 5a, for a total of 2,150 a-actinin-21 cells. In the stratum lacunosummoleculare, a-actinin-2 appears to be a relatively specific marker: a-actinin-21 cells do not co-express PV, CB, VIP, or CCK (Ratzliff and Soltesz, 2001). Only 2% of a-actinin-21 cells in that layer express CR, while 43% express NPY (Ratzliff and Soltesz, 2001). Previous work has considered a-actinin-21 cells in the stratum lacunosum-moleculare as neurogliaform cells (Fuentealba et al., 2010). We assumed that, in the stratum lacunosum-moleculare, 98% of a-actinin-2 expressing cells were neurogliaform cells (the percent of a-actinin-21 cells that are GABAergic but do not express CR (Ratzliff and Soltesz, 2001); see Table 2). Using the knowledge that 71% of neurogliaform cells express a-actinin-2 (Price et al., 2005) and the logic in Figure 5b, we calculated there are 2,970 neurogliaform cells in the stratum lacunosum-moleculare. We then included 20% of the nNOS1/NPY1 cells in the stratum radiatum (610 reelin1 cells (Table 2), as calculated above in the ivy cell Venn diagram showing the logic used to obtain the number of nNOS1/NPY1 cells in the CA1 strata oriens, pyramidale, and radiatum. We used the number of COUP-TFII cells in each layer and the percentage of overlap relative to each population (Fuentealba et al., 2010, see their Supporting Information Table 2) to calculate the total number of nNOS1/NPY1/COUP-TFII1 cells and then the number of nNOS1/NPY1 cells (underlined) for each layer. [Color figure can be viewed in the online issue, which is available at wileyonlinelibrary.com.] section), to get a total of 3,580 neurogliaform cells across the strata radiatum and lacunosum-moleculare. Because not all neurogliaform cells express nNOS, there may be even more neurogliaform cells in the stratum radiatum. However, we did not calculate the number of a-actinin-21 cells in the stratum radiatum because data were not available about the overlap of a-actinin-2 with COUP-TFII in the stratum radiatum (Fuentealba et al., 2010).
Neurogliaform family cell boutons. Neurogliaform family cells (ivy and neurogliaform cells) are known to have a much higher bouton count than other cell types. For neurogliaform family cells, we averaged two estimates of interbouton length: 2.5 lm (Szabadics and Soltesz, 2009) for ivy cells in the CA3 and 2.3 lm (Armstrong et al., 2011) for neurogliaform cells in the dentate gyrus to get an average of 2.4 lm. Also, 78% of boutons are not involved in classical synapses, instead affecting other neurons via volume transmission (Olah et al., 2009, in somatosensory cortex). Therefore, we subtracted 78% of boutons from the total bouton count to determine the number of classical synapses made by each cell. However, the boutons not participating in the classical synapses are still involved with volume transmission (Olah et al., 2009, in somatosensory cortex) and are therefore functionally relevant. Their contribution should be considered in any theoretical or computer model that includes ivy and neurogliaform synapses. For both neurogliaform and ivy cells, we assumed they made 10 classical synapses per connection (Table 2). This assumption is based on the observation that neurogliaform cells in the somatosensory cortex were predicted to make 10 synapses per connection, though the status of those synapses as classical (with a corresponding postsynaptic element) was not confirmed (Tamas et al., 2003).
Ivy cell boutons. The axonal extent of the ivy cells is 0.75 mm in the medio-lateral direction and 1.31 mm in the rostro-caudal direction (Fuentealba et al., 2008a). Their total For each assay included, the calculations were made by summing all combinations including nNOS and NPY, and dividing that number by the sum of all combinations including NPY. Though the assays included other markers (listed in column 1), the calculation process was the same for each assay.

FIGURE 5.
Venn diagram showing the a-actinin-2-based logic used to obtain the number of neurogliaform cells in the CA1 stratum lacunosum-moleculare. a) Given the number of COUP-TFII cells in the stratum lacunosum and the percentages of overlap (Fuentealba et al., 2010), the total number of a-actinin-21/ COUPTFII1 and a-actinin-21 cells can be calculated. b) Given the total number of a-actinin-21 cells and the percentage that are likely to be neurogliaform cells (Price et al., 2005), the total number of neurogliaform cells can be calculated. [Color figure can be viewed in the online issue, which is available at wileyonlinelibrary.com.] axonal length was calculated by comparison with a bistratified cell axonal arbor. By measuring the relative axonal lengths of ivy and bistratified cells within a 100 3 100 3 70 mm volume surrounding the soma, ivy cells were found to have an axon length 2.2 times that of bistratified cells (Fuentealba et al., 2008a). A complete bistratified cell axon had previously been measured as 78,800 mm; therefore, we calculated a total ivy cell axon length of 176,760 mm. We calculated the total bouton count, at a density of one per every 2.4 mm, as 73,650. Considering only 22% of synapses make classical synapses (Olah et al., 2009), we calculated 16,200 boutons available for classical synapses. We assumed ivy cells made 10 classical synapses on each postsynaptic cell (Table 2). Therefore, they diverge to innervate 1,620 cells. Their relative preference for synapsing on pyramidal cells versus interneurons is not known, so we used the ratio of 92:8 as discussed above (Table 2). We calculated that they contact 1,490 pyramidal cells and 130 interneurons. Ivy cells make most of their synapses in the strata oriens and radiatum (Fuentealba et al., 2008a;Klausberger, 2009). Different studies have found different distributions for ivy cell axons, as shown in Table 9. We took the average of two studies (Fuentealba et al., 2008a;Szabo et al., 2012), assuming that ivy cells make 40% of their synapses in the stratum oriens and 50% in the stratum radiatum.
Neurogliaform cell boutons. A neurogliaform cell filled within the confines of a 400 lm slice has more boutons (13,000) than a complete fill of a basket cell axon (10,000) (Halasy et al., 1996;Vida et al., 1998). Also, within an equivalent volume, neurogliaform cell axons have a release probability about five to six times that of basket cells (Olah et al., 2009, in somatosensory cortex). Therefore, each neurogliaform cell has roughly 60,000 boutons. Because 78% of boutons are not involved in classical synapses (Olah et al., 2009, in somatosensory cortex), we determined 13,200 boutons were available for synapses. As we assumed neurogliaform cells make 10 classical synapses per connection (Table 2), their divergence was calculated as 1,320 cells. We assumed they innervate pyramidal cells and interneurons in a 92:8 ratio (Table 2) for a total of 1,214 pyramidal cells and 106 interneurons.
Neurogliaform axons concentrate around the cell in a tight, radially distributed cloud. The axonal extent of neurogliaform cells was found to be 0.5 mm in the mediolateral axis and 1.2 mm in the septotemporal axis (Fuentealba et al., 2010). Given the total number of boutons and calculated bouton density, we calculated the total axonal length as 144,000 lm. The axons are mostly found within the stratum lacunosummoleculare (Price et al., 2005). However, as some neurogliaform cells are found within the stratum radiatum (see above), we assumed the distribution of boutons across the strata radiatum and lacunosum-moleculare matched the distribution of somata across those two layers (83% in the stratum lacunosum-moleculare, 17% in the stratum radiatum). (Maccaferri, 2005;Klausberger and Somogyi, 2008), as well as conventional bistratified cells, which will be calculated in the PV1 cell section. Many of the projection cells have a local axonal arborization consisting of boutons primarily in the strata radiatum and oriens. These include double projection cells that project to the septum and subiculum, so-called back-projection cells that project to the CA3 and dentate gyrus, and oriensretrohippocampal projection cells that target the subiculum (Klausberger and Somogyi, 2008). A projection cell targeting both the CA3 and the subiculum has also recently been discovered (Jinno, 2009, in mouse).

SOM1 cells include O-LM cells and several projection cells
About 12% of GABAergic neurons in the CA1 express SOM (Kosaka et al., 1988). Applying this fraction to the calculation for GABAergic neurons gave 4,620 SOM1 neurons. About 89% of these cells are located in the stratum oriens (Table 10) (Kosaka et al., 1988;Nomura et al., 1997b), a total of 4,110 SOM1 GABAergic cells in the stratum oriens.
O-LM cells. O-LM cells, which express SOM and mGluR1a (Ferraguti et al., 2004), are found in the stratum oriens (Klausberger and . Roughly 40% of SOM1 cells in the stratum oriens are O-LM cells (Ferraguti et al., 2004), giving a total of 1,640 O-LM cells.   Note that data from Nomura et al. (1997b) and Kosaka et al. (1988) combine the strata radiatum and lacunosum-moleculare. a Calculated average of the dorsal and ventral values.
Other septally projecting cells. Subtracting the SOM1/CB1 double projection cells from the total of septally projecting cells, we were left with a subset of 190 SOM1/CB2, septally projecting cells. This subset likely constitutes another group of septally projecting cells. Katona et al. (1999a) suggested that so-called back-projection cells, which are not known to express CB but often express SOM (70%, see Jinno, 2009), can project to the septum, in addition to projecting to the CA3. The observation that 18% of septally projecting cells express CR may also be relevant, as it has not been shown that doubleprojection cells express CR (Jinno, 2009). There is also a subset of SOM1 cells that are weakly M2R1 and may project to the septum, but this subset does not appear to express CR (Hajos and Mody, 1997;Ferraguti et al., 2005). For now, we consider the subset of 190 SOM1/CB2 septally projecting cells in our calculations, noting that this cell type may also be the so-called back-projection cells or a subset of M2R1 septally projecting cells. In addition to these multiple subsets of SOM1 septal projection cells, there may be another small subset of septally projecting cells that are SOM2 (Jinno et al., 2007). We do not attempt to identify or include those cells.
Oriens-retrohippocampal cells. About 34% of SOM1 cells in the stratum oriens express CB, a total of 1,400 cells . Like double projection cells, oriensretrohippocampal cells can be SOM1/CB1 but may also express M2R (Jinno et al., 2007). We subtracted the double projection cells from the SOM1/CB1 population in the stratum oriens, leaving 640 other SOM1/CB1 cells, which we assumed were oriens-retrohippocampal cells (Table 2).
Other SOM1 cells. Other stratum oriens cells also express SOM (Jinno, 2009). Subtracting the estimates for O-LM, oriens-retrohippocampal, double projection, and other septally projecting cells from the total number of SOM1 cells left 880 SOM1 cells unidentified. Most of these are likely to be bistratified cells, which express SOM and PV (Klausberger et al., 2004;Baude et al., 2007) and are sometimes located in the stratum oriens (Baude et al., 2007); they will be calculated in the PV1 cell section.
O-LM cell boutons. The axonal extent of O-LM cells is rather compact, only 500 lm in the medio-lateral direction and 840 lm in the septo-temporal direction (Sik et al., 1995). O-LM cells have a local axonal length of 62,490 lm and a bouton density of 26.6/100 lm (Sik et al., 1995). We calculated a local CA1 bouton count of 16,370 (Sik et al., 1995). A light microscopy study of O-LM to pyramidal cell connections showed a range of three to 17 potential synapses per connection (Maccaferri et al., 2000). We took the average of 10 synapses per connection, giving a divergence of 1,637 cells (Table 2). There are 74% of O-LM cell synapses made onto non-GABAergic cells, while only 9% are made on GABAergic cells and 17% are unidentifiable (Katona et al., 1999a). Of the known synaptic targets, the ratio was 89% of synapses made on pyramidal cells to 11% of synapses made on interneurons (Katona et al., 1999a) for a total innervation of 1,457 pyramidal cells and 180 interneurons. Within the CA1, most of the O-LM cell boutons are found in the stratum lacunosummoleculare, though a variable amount can be found in the stratum oriens. Sik et al. (1995) found 93% of axon collaterals in the stratum lacunosum-moleculare and 7% in stratum oriens.
Other SOM1 cell boutons. The other projection cells of the stratum oriens with local axons in the CA1 usually innervate the strata radiatum and oriens. In one case, a so-called backprojection cell made 25,000 synapses in the hippocampus (Sik et al., 1994). Of the axon length within the hippocampus, 24.3% remained within the CA1, giving an estimate of 6,080 boutons in the CA1 (Sik et al., 1994). Here, we assumed the other projection neurons with local axon collaterals also had a similar number of boutons in the CA1 (Table 2). For each projection cell with axons in strata radiatum and oriens, we assumed their local boutons were distributed similarly as bistratified cells (Table 2), between the stratum oriens and radiatum, with 58% of their length in the oriens and 42% in the stratum radiatum (following a bistratified cell with its soma in the stratum oriens, from Sik et al. (1995)). As the few collaterals within the stratum pyramidale did not exhibit significant numbers of boutons, we were concerned only with the relative proportions in the oriens and radiatum. For some types of SOM1 cells, information was available about their relative preference for synapsing on pyramidal cells or interneurons. Oriens-retrohippocampal cells send 96% of their boutons to pyramidal cells (Jinno et al., 2007). Jinno et al. (2007) also found that double projection cells send 86% of their local boutons to pyramidal cells and 14% to interneurons, whereas Takacs et al. (2008) found that, of the known local targets of septally projecting cells, 97% are on pyramidal cells and 3% are on interneurons. We averaged these two data points to calculate that double projection cells make 92% of their local targets on pyramidal cells and 8% on interneurons.
Additionally, there appears to be a subset of septally projecting cells that target interneurons locally . It is possible that interneuron-specific septally projecting cells constitute the other group of septally projecting cells mentioned above. This other group is CB-and may align with the 18% of septally projecting cells seen to express CR (Jinno, 2009).
For each of the SOM1 cell types, we assumed the cells contacted their postsynaptic targets with 10 synapses each (Table 2). Because we assumed the same bouton counts for double projection, so-called back projection, and oriensretrohippocampal cells, they all had a calculated divergence of 608 cells. Their preference for innervating pyramidal cells differed, however. Double projection cells may innervate 559 pyramidal cells and 49 interneurons, while oriensretrohippocampal cells innervate 584 pyramidal cells and 24 interneurons.

Parvalbumin expressing cells
Approximately 26% of GABAergic neurons in the CA1 express PV (Kosaka et al., 1987). Given our previous calculation of 38,500 GABAergic cells in the CA1, 10,010 PV1 GABAergic cells reside in the CA1. These include the PV1 basket cells, bistratified cells, and axo-axonic cells. Also, up to one third of O-LM cells (Varga et al., 2012, in mouse) and double projection cells (Jinno et al., 2007) express PV, but at a weaker level (but see Ferraguti et al., 2004, where up to 75% of mGluR1a1/SOM1 cells in the stratum oriens also expressed PV). Subtracting one third of the O-LM and double projection cells from the total gave 9,210 remaining PV1 cells.
While 64.5% of PV1 cells are located in the stratum pyramidale, a substantial number reside in the stratum oriens (30%, see Table 11) (Kosaka et al., 1987;Nomura et al., 1997b). Baude et al. (2007) gave relative percentages of PV1 basket, bistratified, and axo-axonic cells in the stratum pyramidale. We assumed the ratio held for the other layers to calculate the number of cells of each type in each layer, for a total of 5,530 PV1 basket cells, 2,210 bistratified cells, and 1,470 axo-axonic cells (Table 12). Note that this number of bistratified cells does not include any contributions from the GABAergic projection cells in the stratum oriens that also have boutons in the strata radiatum and oriens and, in the case of double projection cells, occasionally express PV (Jinno et al., 2007).
PV1 basket cell boutons. The extent of the PV1 basket cell axon was found to be 1,185 lm in the septotemporal direction and 1,042 lm in the medio-lateral direction (Sik et al., 1995). The total axon length was 46,180 lm (Sik et al., 1995). At a density of 22.6 boutons per 100 lm, the estimated total bouton count per PV1 basket cell was 10,440 (Sik et al., 1995). Most of the boutons were found within the pyramidal layer, with few found in the strata oriens or radiatum (Sik et al., 1995). Though the observed number of basket cell synapses per connection varies from 2 to 12 (Buhl et al., 1994a(Buhl et al., , 1995Sik et al., 1995;Halasy et al., 1996;Foldy et al., 2010, in mouse), here we took PV1 basket cells to make about 11 synapses on each pyramidal cell (Foldy et al., 2010, in mouse). However, PV1 basket cells have been shown to make connections comprising single or very few synapses on other PV1 interneurons (Sik et al., 1995) (but see Cobb et al. (1997), where a basket cell innervated a bistratified cell with 12 synapses) so we assumed they made only one synapse on all connections with other interneurons (Table 2). Sik et al. (1995) found PV1 basket cells connect with pyramidal cells and other PV1 cells with equal probability, which we took to mean in proportion to the number of each cell type. Therefore, we calculated each PV1 basket cell contacts 1,014 other cells, 943 pyramidal cells and 71 other interneurons.
Bistratified cell boutons. Bistratified cells project to the strata oriens and radiatum (Klausberger, 2009). A range of values has been found for the number of boutons present on each bistratified cell. Pawelzik et al. (2002) found a mean of 4,000 boutons, in contrast to an earlier finding of 15,970 boutons within the CA1 for a bistratified cell with its soma in the oriens (Sik et al., 1995). Additionally, Halasy et al. (1996) found that a bistratified cell axon within a 400 lm slice contained 8,752  Note that data from Nomura et al. (1997b) and Kosaka et al. (1987) combine the strata radiatum and lacunosum-moleculare. a Calculated average of the dorsal and ventral values. Cell type percentages are from Baude et al. (2007) and laminar distribution percentages are averaged from dorsal and ventral data in Nomura et al. (1997b). Note that the percentage reported to be in the strata radiatum/lacunosum-moleculare is here attributed to the stratum radiatum only, as PV distribution data from the mouse showed that the stratum lacunosum-moleculare contained less than 1% of PV1 cells (Jinno and Kosaka, 2006, in mouse). "Total PV1 cells" refers to PV1 basket, bistratified, and axo-axonic cells only. a A fraction of PV1 O-LM and double projection cells was subtracted from the total PV1 cells in the stratum oriens before calculating the number of PV1 basket, bistratified, and axo-axonic cells in that layer.
boutons; therefore, the finding of 15,970 boutons in a complete axon within the CA1 seems likely. The bistratified cell observed by Sik et al. (1995) had a local axonal length of 76,040 lm and a bouton density of 21.0 boutons per 100 lm. Bistratified cells make 10 to 11 synaptic contacts with each cell they innervate (Klausberger et al., 2004) (but see Buhl et al. (1994a); Miles et al. (1996), where five to nine were found). Therefore, each bistratified cell diverges to contact approximately 1,597 cells. Because the relative preference for synapsing on pyramidal cells was not given, we assumed ( Table 2) that bistratified cells synapse on pyramidal cells and interneurons in a 92:8 ratio, for a total divergence of 1,469 pyramidal cells and 128 interneurons.
Laminar distribution data for the bistratified cell was available from both Pawelzik et al. (2002) and Sik et al. (1995); an average was calculated from the two references (Table 13) such that 51% of collaterals were found in the stratum oriens, 7% in the pyramidale, and 42% in the radiatum. Qualitative observations of laminar axonal distribution were also available (Fuentealba et al., 2008a;Halasy et al., 1996). The mediolateral extent of the axon was 1.15 mm, and rostro-caudally it was 1.53 mm (Klausberger et al., 2004).
Axo-axonic cell boutons. An axo-axonic cell had an elliptically shaped axonal arbor, with a 600 by 850 lm extent (Li et al., 1992). Each axo-axonic cell had multiple rows of boutons, where each row corresponded to the synapses made on one postsynaptic axon. Each row contained two to 10 boutons (Li et al., 1992), with an observed divergence of one axoaxonic cell onto 1,200 pyramidal cells (Li et al., 1992). Therefore, we calculated that each axo-axonic cell has 2,400 to 12,000 boutons and assumed an average of 7,200 boutons per axo-axonic cell (Table 2). Axo-axonic cells appear to contact only pyramidal cells (Buhl et al., 1994a,b).

CCK expressing cells
About 12% of the GABAergic neurons in the CA1 express cholecystokinin (CCK) (Kosaka et al., 1985) a total of 4,620 CCK1 GABAergic neurons in the CA1. CCK1 cells usually express cannabinoid receptor type 1 (CB1R) (Katona et al., 1999b;Cope et al., 2002) and often express vasointestinal protein (VIP) , vesicular glutamate transporter 3 (VGLUT3) , or sometimes calbindin (CB) (Cope et al., 2002;Somogyi et al., 2004). The presence of CB1R is generally an indicator of a CCK1 cell (Katona et al., 1999b). Therefore, CB1R expression data may be useful as a confirmation of the total number of CCK1 cells. Given the overlap of CCK and CB1R expression (Katona et al., 1999b) in the somata of CA1 interneurons (Fig. 6), we determined that there are 5,400 CB1R1 cells in the CA1. CB1R may be a more reliable indicator of CCK1 cells than CCK expression itself, so we based the rest of our CCK1 cell calculations on a total of 5,400 cells rather than 4,620 cells. However, we did not have detailed laminar distribution or marker expression overlap data for the CB1R1 cells, so we used the corresponding fractions from CCK1 cell studies.
The relative frequency of each of these cell types is unknown. To estimate the number of CCK1 basket cells, we used data about the synaptic convergence of basket cells onto pyramidal cells. Foldy et al. (2010, in mouse) found that PV1 basket cells make about twice as many total synapses onto pyramidal cell somata as do CCK1 basket cells. However, CCK1 basket cell boutons are known to occur more frequently proximal to the soma , in mouse), as evidenced by Wyeth et al. (2010), who found a ratio of 13.1:10.9 for PV:CCK boutons in the whole pyramidal cell layer of the mouse CA1. We averaged these two estimates to obtain a ratio of 1.6:1 PV:CCK boutons onto pyramidal cells.  (Katona et al., 1999b). Derived data: total number of CB1R1 cells in the CA1 (5,400). [Color figure can be viewed in the online issue, which is available at wileyonlinelibrary.com.] We assumed this ratio also held for the total number of PV1 basket cell and CCK1 basket cell boutons in the CA1 (Table 2). Because there are approximately 5,520 PV1 basket cells with 10,440 boutons each, the total number of PV1 basket cell boutons in the CA1 is 57.7 million. Therefore, we calculated the total number of CCK1 basket cell boutons as 36.0 million. As CCK1 basket cells may have about 10,000 boutons each (see synapse calculations below), we calculated a total of 3,600 CCK1 basket cells.
Using data from Pawelzik et al. (2002), we determined the laminar distribution of CCK1 cells (Table 14) and estimated the relative abundance of each type of CCK1 cell in each layer. We included marker coexpression data from Somogyi et al. (2004) to solve for the populations of CCK1/CB1, CCK1/VIP1, CCK1/VGLUT31, and CCK1only cells in each layer, which we used to refine our estimates by cell type.
We assumed (Table 2) the CCK1 basket cells were found in all layers of the CA1 (including the stratum lacunosummoleculare, see Vida et al., 1998 andElfant et al., 2008), SCA and ADI cells in the stratum radiatum, and PPA cells in the stratum lacunosum-moleculare (Table 2) (Klausberger and Somogyi, 2008). We assumed some lesser-known CCK1 cell types were found only in the strata oriens and pyramidale ( Table 2). The lesser-known types include CCK1 quadrilaminar, CCK1 bistratified cells (different from SCA cells), and CCK1 SO-SO cells, so called because both their axons and dendrites remain in the stratum oriens (Pawelzik et al., 2002). In addition, some of the CCK1 basket cells found in the stratum oriens may be horizontal basket cells .
Since CCK1 basket cells have not been shown to express CB (Cope et al., 2002;Somogyi et al., 2004), we assumed none of the CCK1/CB1 cells were basket cells (Table 2). We considered CCK1/CB1 cells in the stratum lacunosummoleculare as PPA cells, CCK1/CB1 cells in the stratum radiatum as SCA or ADI cells, and CCK1/CB1 cells in the strata oriens and pyramidale as the lesser-known types mentioned above ( Table 2). Note that PPA and SCA cells are both often found straddling the border of the strata radiatum and lacunosum-moleculare, so the laminar-based calculations for these CCK1 cell types will only give a rough approximation of each type.
We assumed all the CCK1/CB2 cells in the strata oriens and pyramidale were CCK1 basket cells, including CCK1/ VIP1 cells, CCK1/VGLUT31 cells, and CCK1only cells (Table 2). In the strata radiatum and lacunosum-moleculare, we assumed all the CCK1/VIP1 and CCK1/VGLUT31 cells were basket cells. However, Klausberger et al. (2005) showed that ADI cells can express VGLUT3 and a high concentration of VGLUT31 boutons has been found at the border of the strata radiatum and lacunosum-moleculare, suggesting that PPA or SCA cells may also express VGLUT3   (Table 2). After counting the CCK1/ VIP1 and CCK1/VGLUT31 cells in the strata radiatum and lacunosum-moleculare, there were still an additional 430 CCK1 basket cells to be assigned, which we assumed to be CCK1only cells. Next, we assumed all of the non-basket cells in the stratum lacunosum-moleculare were PPA cells (Table 2). Of the non-basket cells in the stratum radiatum, we assumed the SCA and ADI each made up half the balance (Table 2). This led to an estimate of 65% of SCA cells being CB1, though only 32% have been observed to be CB1 experimentally (Cope et al., 2002). The numbers of each CCK1 cell type are given in Table 15.

CCK1 basket cell boutons.
Comparably less information is available about CCK1 basket cell axonal arbors than PV1 basket cell axons. Axonal extent, total length, and bouton Note that data from Kosaka et al. (1985) combine the strata radiatum and lacunosum-moleculare. Methods A and B are described in the original paper, see Kosaka et al. (1985). Based on laminar distribution percentages from Pawelzik et al. (2002) and marker coexpression fractions from Somogyi et al. (2004). density were generally not reported, though the proximal-distal extent of a CCK1 basket cell axon was found to be 1 mm (Vida et al., 1998).
The study of stratum radiatum basket cells (presumably CCK1, Table 2) showed that a basket cell axon within a 400 mm slice contained almost 8,000 boutons (Vida et al., 1998). We assumed (Table 2) the same bouton distribution as for the PV1 basket cells (20% more boutons outside the slice, as in Halasy et al., 1996), so the overall bouton count for that cell is likely around 10,000. Though the observed number of basket cell synapses per connection varies from two to 12 (Buhl et al., 1994a(Buhl et al., , 1995Sik et al., 1995;Halasy et al., 1996;Miles et al., 1996;Foldy et al., 2010, in mouse), here we took CCK1 basket cells to make about eight synapses per connection (Foldy et al., 2010, in mouse). It is not known whether CCK1 basket cells make fewer synapses in their connections with other interneurons (as PV1 basket cells do), so we assumed they also made eight synapses per connection with other interneurons (Table 2). This gave a divergence of 1,250 cells: 1,150 pyramidal cells and 100 interneurons assuming the 92:8 ratio of innervation ( Table 2). The average laminar distribution of boutons across several CCK1 basket cells was shown to be 19% in the stratum oriens, 60% in the stratum pyramidale, 20% in the stratum radiatum, and 1% in the stratum lacunosummoleculare (Pawelzik et al., 2002).
SCA cell boutons. The axonal length and bouton density of SCA cells has not been reported. The proximal-distal extent of the axon was found to be 1.1 mm (Vida et al., 1998). A 400 mm slice contained 6,000 boutons (Vida et al., 1998). By comparison, a bistratified cell in the middle of a 400 mm slice had an axon with almost 8,800 boutons (Halasy et al., 1996), but the full, local axonal arbor of another bistratified cell had 15,970 boutons overall (Sik et al., 1995), suggesting that the bouton distribution of bistratified cells extends significantly beyond the confines of a 400 mm slice. Therefore, we assumed the SCA cell axon was distributed similarly and also had only 50% of its boutons within the confines of the 400 mm slice (Table 2); we calculated a complete axon as having approximately 12,000 boutons. SCA cells make approximately six synapses per connection (Vida et al., 1998), so they may contact roughly 2,000 cells. We assumed they contact pyramidal cells and interneurons in a ratio of 92:8 for a total of 1,840 pyramidal cells and 160 interneurons. SCA cells preferentially synapse in the stratum radiatum (Vida et al., 1998;Szabo et al., 2012), with an average distribution of 82% of axons in the stratum radiatum. Table 16 shows the different laminar distributions that have been observed for SCA cells.

ADI cell boutons.
No quantitative information has been reported about ADI cell axons. ADI cell boutons are known to innervate the main apical dendrite of pyramidal cells in preference to the oblique dendrites Klausberger, 2009). If ADI cells gave rise to one tenth of the 111 GABAergic synapses on the distal main apical dendrite of the pyramidal cells (Megias et al., 2001), each of the 390 ADI cells would need approximately 8,870 boutons.
PPA cell boutons. Though a 400 lm slice was found to contain 8,000 boutons, over half of them were positioned outside the CA1 (Vida et al., 1998). We used the same logic as with the SCA cell to estimate a total of 16,000 boutons (Table 2). Considering half of the boutons as being within the CA1 (Vida et al., 1998) gave a total of 8,000 boutons. PPA cells are thought to make six synapses per connection as seen with SCA cells (Vida et al., 1998), for a divergence of 1,333 cells. We assumed they followed the ratio of 92:8 for innervation, for a total divergence of 1,227 pyramidal cells and 106 interneurons ( Table 2).

Interneuron-specific cells
Interneuron-specific (IS) cells only synapse on other interneurons, avoiding the pyramidal cells, and they often express calretinin (CR), VIP, or enkephalin (ENK) (Acsady et al., 1996a(Acsady et al., ,1996bGulyas et al., 1996;Fuentealba et al., 2010). Recently, they have been shown to express COUP-TFII as well (Fuentealba et al., 2010). IS cells can be further divided into multiple categories. One type, known as the IS III cell, expresses both CR and VIP and has axons projecting to the stratum oriens and alveus (Acsady et al., 1996b;Gulyas et al., 1996). A second type, known as the IS II cell, has axons targeting the stratum radiatum and dendrites in the stratum lacunosum-moleculare (Acsady et al., 1996b;Gulyas et al., 1996). This type is known to express VIP but has not been shown to express CR . A third, broad category known as IS I includes cells with dendrites spanning all layers and axons targeting the stratum radiatum, and perhaps also the stratum oriens (Acsady et al., 1996b;Gulyas et al., 1996). These cells generally express CR, though a subset of them do not (Acsady et al., 1996a). Additionally, a subset of VIP1 cells in mice has been found to express nNOS as well; this subset has axonal and dendritic projection patterns resembling those of an IS III cell (Tricoire et al., 2010, in mouse).
We used data about the coexpression of COUP-TFII with other markers to calculate the number of IS cells. Because some non-IS cells express ENK (Price et al., 2005), we did not consider the presence of ENK to indicate interneuron-specific cells. Instead, we characterized IS cells as those that express CR  (Fuentealba et al., 2010). We used information about the co-expression of CR, VIP, and COUP-TFII (Fuentealba et al., 2010), along with our earlier calculation of COUP-TFII cells per layer, to determine the number of CR or VIP positive cells in each layer (Table 17). We looked at three combinations of marker expression which we took to represent specific IS cell types. We assumed CR1/VIP2 cells were IS I cells, CR2/VIP1 cells were IS II cells, and CR1/VIP1 cells were IS III cells (Table 2). This may underestimate the number of IS I cells, since not all of them express CR (Acsady et al., 1996a). Using the logic in Figures 7,8,9, we determined the number of CR1/VIP2, CR2/VIP1, and CR1/VIP1 cells in each layer. Considering some basket cells also express VIP, we subtracted the number of CCK1/VIP1 basket cells, assuming the remaining VIP1 cells were IS cells (Table 2). For each layer, we removed an equal fraction of VIP1 cells (the CCK1/VIP1 basket cells) from the CR2/VIP1 and CR1/VIP1 populations. Note that 18% of septally-projecting cells express CR (Jinno, 2009); this number may align with the 190 SOM1/CB2 septally projecting cells that are not double projection cells (calculated above). We subtracted these 190 cells from the CR1/VIP2 population of cells in the stratum oriens to obtain an estimate for each IS cell type in each layer (Table 18).

IS cell boutons.
Bouton counts of the IS cells were not available, probably due to the difficulty of determining an average bouton density for their axon collaterals. The bouton density of IS cells varies significantly along the axons (Acsady et al., 1996a). This variability in bouton density, with large lengths of Note that data from Nomura et al. (1997b) combine the strata radiatum and lacunosum-moleculare. a Average of the dorsal and ventral values. b Calculated based on data from the marker assay: CR/COUP-TFII/PPE/VIP. c Calculated based on data from the marker assay: CR/CB/COUP-TFII/PV. axon in which few boutons are found, interspersed with sections of high bouton density, may arise because of these interneurons' selectivity in only synapsing on other interneurons (Acsady et al., 1996a).
Other cells. Several cell types remain for which we have not estimated their number. Here, we provide a crude estimate of number for several types given the limited information we have about them. However, we do not include the estimates made in this section in our final count in the summary section, because the estimates are likely to contain multiple cell types and may overlap with cell populations already counted.
We have not yet addressed a few of the cell types found in the stratum radiatum. These include large calbindin cells (Klausberger and Somogyi, 2008) and radiatum-and dentateinnervating (RADI) cells (Fuentealba et al., 2010), which both express CB. Freund and Buzsaki (1996) suggested 10% of GABAergic cells in the CA1 express calbindin (CB), for a total of 3,850 CB1 cells (Table 2). We subtracted the previously calculated CB1 cells (CCK1/CB1 cells and SOM1/CB1 cells) from this total, for a remainder of 1,230 CB1 cells across all layers. This represents an upper bound on the large calbindin and RADI cells. They are likely to number much fewer, because the remaining CB1 cells in the strata oriens and pyramidale may actually include some of the other cell types calculated above, for which their CB expression was unknown.
There are additional projection cells that we have not calculated. So-called back projection cells project to the CA3 and dentate gyrus and are known to express nNOS (Sik et al., 1994). They may also express SOM (Katona et al., 1999a) and may even project to the septum (see Other septally projecting cells above). Unfortunately, not enough information is known about so-called back projection cells to estimate their relative abundance or even to consider them as a distinct cell type.  There are also other projection cells that target the subiculum. We performed a rough calculation to gain an idea of the cells projecting to the subiculum, including the radiatumretrohippocampal cells and the trilaminar cells. To do this, we combined experimental data with the above calculations for double projection and oriens-retrohippocampal cells. Both double projection and oriens-retrohippocampal cells project to the subiculum (Klausberger and Somogyi, 2008). We assumed these two cell types constituted the entire population of SOM1, subicular-projecting cells, a total of 1,400 cells (Table 2). Since 50% of cells in the CA1 projecting to the subiculum are SOM1 (Jinno et al., 2007;Jinno, 2009), we calculated that a total of 1,400 SOM-cells project to the subiculum. These are likely to include trilaminar cells in the stratum oriens and radiatum-retrohippocampal cells in the stratum radiatum, both of which project to the subiculum and are not seen to express SOM. However, as both of these cell types are somewhat rare, it is unlikely that they comprise the entire group of SOM-subicular projecting cells.
No data were available to break down our estimate of trilaminar and radiatum-retrohippocampal cells into an estimate for each cell type or even by layer. Once more data become available about the laminar distribution and total number of subicular projecting cells, further identification may be possible. Radiatum-retrohippocampal projection cells have not been found to express any of the major neurochemical markers, such as SOM, VIP, nNOS, CCK, CB, PV or CR, nor any particular receptors (Jinno et al., 2007;Jinno, 2009), though 80% of them express COUP-TFII (Fuentealba et al., 2010). Therefore, it is difficult to make any estimation for this type of cell. Of note, a study marking neurons that project to the granular retrosplenal cortex found that a significant portion of the axons originated from GABAergic neurons at the border of the strata radiatum and lacunosum-moleculare (Miyashita and Rockland, 2007). Most of the cells were found to be negative for the major neurochemical markers, though a small percentage expressed M2R (Miyashita and Rockland, 2007). Some of these neurons may be radiatum-retrohippocampal cells. Also, within the strata radiatum and lacunosum-moleculare, about 5% of subicular projecting cells were negative for all tested markers (Miyashita and Rockland, 2007); these cells may correspond to some or all of the putative radiatum-retrohippocampal cells.
In both the strata oriens and radiatum, approximately half of subicular projecting cells were M2R1. These M2R1, subicular projecting cells are the putative trilaminar cells that locally innervate stratum pyramidale in addition to the strata radiatum and oriens (Sik et al., 1995;Ferraguti et al., 2005;Klausberger and Somogyi, 2008). However, trilaminar cells are considered somewhat rare, so it is not clear whether they make up the entire M2R1, subicularly projecting population. Trilaminar cells are also mGluR8-decorated (Ferraguti et al., 2005); however, there is not enough information about the prevalence of mGluR8-decorated cells to base any calculations on that property.
In addition, a population of ENK expressing cells in the stratum radiatum has recently been found (Fuentealba et al., 2008b). This cell type projects to the subiculum as well; 11.3% of subicular projecting interneurons in the CA1 expressed ENK (Fuentealba et al., 2008b). Given our calculations of subicular projecting interneurons above (2,800), approximately 320 subicular projecting cells may express ENK.
Trilaminar cell boutons. There was sufficient information about trilaminar cells to estimate their divergence. Trilaminar cells innervate mainly the stratum oriens and stratum radiatum, but also the stratum pyramidale (Klausberger, 2009). They should be considered distinct from other projection cells whose axons mainly ramify in the strata radiatum and oriens, the cell types formerly known as oriens-bistratified cells (Maccaferri et al., 2000). Of the synapses made within the CA1, a trilaminar cell made 70% of its synapses in the stratum radiatum, 17% in the stratum pyramidale, and 13% in the stratum oriens (Sik et al., 1995). The observed axonal length and bouton density suggested the trilaminar cell had 15,800 boutons within the hippocampal formation, with 15,440 boutons in the CA1 (Sik et al., 1995). A trilaminar cell from a different study made 40% of its synapses on pyramidal cells, while 60% were made onto interneurons (Ferraguti et al., 2005). The trilaminar cell observed in Ferraguti et al. (2005) had a more extensive axonal projection to the subiculum and most of its axon collaterals ramified in the stratum oriens, rather than the stratum radiatum, as compared to the trilaminar cell in Sik et al. (1995). Note that the trilaminar cell from Ferraguti et al., 2005 was considered as an oriens-retrohippocampal cell in a later study (Jinno et al., 2007). We assumed trilaminar cells contacted each postsynaptic target with 10 synapses (Table 2), giving a local divergence of 1,544 cells (618 pyramidal cells and 926 interneurons).

Afferents of the CA1
We used bouton counts and synapse counts from EM studies on the dendrites and somata of CA1 pyramidal cells to quantify their inputs (see Megias et al., 2001; we have reproduced their data with permission in our Table 19). We included the contributions of afferents to the CA1 as well as the local axonal projections of CA1 pyramidal cells and interneurons. In addition, we calculated the convergence of afferents and intrinsic inputs onto a hypothetical average interneuron and compared it to the synapse data available for several neurochemical classes of interneuron (Gulyas et al., 1999;Matyas et al., 2004).

Glutamatergic afferents of the CA1
Excitatory inputs arrive mainly from the CA3 (Schaffer Collaterals) and the entorhinal cortex, but also from the nucleus reuniens of the thalamus and other areas (Wouterlood et al., 1990;Sotty et al., 2003;Kajiwara et al., 2008;Klausberger and Somogyi, 2008). Here, we calculated the inputs from the Schaffer Collaterals and entorhinal cortex. The Schaffer Collaterals represent the main excitatory input to the CA1. The entorhinal cortex supplies significantly less excitatory input. There are additional, smaller excitatory inputs as well, though insufficient data exist to quantify them. For example, the subiculum is known to target all layers of the CA1 (Kohler, 1985). The amygdalar input to the CA1 is also excitatory (Klausberger and Somogyi, 2008). There are also some connections from the subiculum, presubiculum, and parasubiculum as reviewed in Van Strien et al. (2009). In addition, there is glutamatergic input from the septum (Sotty et al., 2003).
It should be noted that the count of non-GABAergic synapses received by the pyramidal cell includes synapses that are not glutamatergic (Megias et al., 2001). Some non-GABAergic synapses are contributed by the cholinergic pathway from the septum. Less commonly, the serotonergic pathway may innervate sparsely the pyramidal cells, though it appears to rely mostly on volume transmission to pyramidal cells Borhegyi et al., 2004).
Schaffer Collaterals. The CA3 is estimated to contain 230,000 neurons, within the range for 30-day-old Wistar rats (210,0002250,000, from West et al., 1991). Approximately 11% of neurons in the hippocampus are interneurons (Woodson et al., 1989; also see our Table 2), for a total of 204,700 pyramidal cells and 25,300 interneurons in the CA3.
Though the Schaffer Collaterals innervate both the strata radiatum and oriens of the CA1, there is a gradient in innervation where the CA3c neurons prefer the stratum radiatum and the CA3a neurons prefer the stratum oriens (Amaral and Witter, 1989). The CA3c neurons also tend to synapse more temporally whereas the CA3a neurons synapse more septally (Amaral and Witter, 1989). Therefore, we averaged data from a CA3c and a CA3a neuron to calculate the average input from a CA3 neuron to the CA1. The CA3c pyramidal cell was shown to have about 39,200 boutons within the dorsal area of the ipsilateral hippocampus (Wittner et al., 2007). Approximately 70% of these boutons were found in the CA1 region, so that this single pyramidal cell may contribute 27,440 boutons to the Schaffer Collateral pathway (Wittner et al., 2007). This CA3c neuron was shown to make 94% of its Schaffer Collateral synapses in the stratum radiatum and only 3% in the stratum oriens (Wittner et al., 2007). In contrast, the CA3a neuron was shown to make 64% of its synapses in the stratum oriens, 15% in the stratum pyramidale, and 21% in the stratum radiatum , for a total of 15,295 boutons. The relative laminar distributions of the Schaffer Collateral boutons yielded the bouton counts per lamina shown in Table 20. We calculated the input of an average CA3 neuron to the Schaffer Collateral pathway, assuming that the bouton distributions for the CA3a and CA3c neurons could be taken as the extreme examples on each end of a uniform gradient (Table 2).
However, this calculated contribution is certainly low. The CA1 pyramidal cell has a total of 28,860 excitatory synapses on its dendrites in the stratum radiatum and oriens (Megias et al., 2001) (see Table 19), which are mainly innervated by the Schaffer Collaterals. This number is much greater than the input calculated from the average of the CA3a and CA3c neurons (Table 20). There are two reasons for the discrepancy. First, the contralateral CA3 axons contribute a significant number of boutons to each CA1 pyramidal cell. Second, at least in the case of the Wittner et al. (2007) axon, the axonal extent of the filled CA3 neuron may have extended outside the slices that contributed to the bouton count, so that the ipsilateral axon fill was incomplete (the axon published in Wittner et al. (2007) was reconstructed from 48 slices 70 mm thick in the ipsilateral dorsal hippocampus for a total of 39,200 boutons; earlier work by Li et al. (1994) had estimated a CA3 pyramidal cell could contribute up to 60,000 boutons to the ipsilateral hippocampus). In the case of the Sik et al. (1993) axon fill, the axon was reconstructed from 32 sections 60 mm thick of the ipsilateral hippocampus and was said to be a complete reconstruction of the ipsilateral axon. By comparing the total Reprinted with permission from Megias et al., Neuroscience, 2001, 102, 527-540 (Table 3. Total number and distribution of inhibitory and excitatory synapses on hippocampal CA1 pyramidal cells), V C Elsevier. T: thick, M: medium, t: thin, dist: distal, med: medial, prox: proximal, Ori: stratum oriens, Rad: stratum radiatum, L-M: stratum lacunosum-moleculare. The average of the CA3a and CA3c distributions and total bouton counts is also calculated. Lac. Mol.: lacunosum-moleculare.
number of available synapses on the CA1 pyramidal cell dendrites in the strata radiatum and oriens with the reported bouton counts from the CA3 pyramidal cells, we estimated that the reported counts represent only 46% of the boutons expected to project to the ipsilateral and contralateral CA1 from each CA3 neuron. The comparison of Schaffer Collateral boutons per CA1 pyramidal cell and available synapses on the CA1 pyramidal cell (as calculated in Megias et al., 2001) is shown in Table 21. To calculate the boutons available per CA1 pyramidal cell, we multiplied the average CA1-area bouton count by the number of CA3 pyramidal cells, took 93% of the total as synapsing on CA1 pyramidal cells (Takacs et al., 2012), and then divided that total by the number of CA1 pyramidal cells.
We also considered the divergence of the CA3 pyramidal cells within the ipsilateral CA1. For pyramidal cells within the CA3c, most connections made onto CA1 pyramidal cells comprise one to two synapses (Ropireddy and Ascoli, 2011), for an ipsilateral divergence of 12,760 to 25,520 CA1 pyramidal cells. Given the total number of CA1 pyramidal cells, this range corresponded to each CA3c pyramidal cell contacting 4 to 8% of CA1 pyramidal cells ipsilaterally, in line with the 4 to 9% potential CA1 pyramidal cell connectivity determined for CA3c pyramidal cells using 3D anatomical reconstruction data (Ropireddy and Ascoli, 2011). The ipsilateral CA1 divergence for the CA3a cell, with its significantly lower bouton count in the CA1, is expected to be much lower. Though no CA3a cells were included in the work of Ropireddy and Ascoli (2011), a CA3b cell was shown to have a much lower connectivity onto the CA1 pyramidal cells (<1%) than the CA3c cells.
Other excitatory afferents. The main source of glutamatergic inputs to the stratum lacunosum-moleculare of the CA1 is the temporoammonic pathway from the entorhinal cortex (Andersen et al., 2007). This pathway is likely responsible for the majority of the excitatory synapses on the distal apical dendrites of CA1 pyramidal cells, though the glutamatergic inputs from the nucleus reuniens in the thalamus also make up a significant portion of synapses (Wouterlood et al., 1990). The input from the nucleus reuniens is differentiated by the presence of VGLUT2 in the boutons (Halasy et al., 2004). The VGLUT21 boutons are only found in the stratum lacunosummoleculare (Halasy et al., 2004). We do not know the relative proportion of inputs from the entorhinal cortex versus the nucleus reuniens, so we have assumed that the entorhinal cortex supplies most of the excitatory inputs (Table 2). Together, they contribute about 1,742 synapses, which is the number of distal apical synapses found on a pyramidal cell (Megias et al., 2001) after subtracting a small contribution of the Schaffer Collaterals to the stratum lacunosum-moleculare (see contribution from a CA3c cell, Table 20).
Both the medial and lateral entorhinal cortex project to the CA1, though the lateral projection appears to be stronger (Witter et al., 1988). The number of principal neurons in the entorhinal cortex layer III was found to be 250,000, with 130,000 in the medial entorhinal cortex and 120,000 in the lateral entorhinal cortex (Mulders et al., 1997). We made a cursory estimate of the divergence of the entorhinal cortical neurons to the stratum lacunosum-moleculare. We assumed that both medial and lateral parts contributed proportionally to the stratum lacunosum-moleculare-targeting temporoammonic path, and that all 1,742 of the stratum lacunosum-moleculare synapses were innervated by the temporoammonic path (Table 2). With those assumptions, each entorhinal cortical neuron would need to provide an average of 2,171 boutons to the stratum lacunosum-moleculare-targeting part of the temporoammonic path. Given that the nucleus reuniens input may be significant, this calculation of divergence may be overestimated.
The temporoammonic path also includes an alvear targeting component. Although there are no solid quantitative comparative data, the alvear pathway is considered a minor source of entorhinal cortical input compared to the temporoammonic pathway that targets the stratum lacunosum-moleculare directly, so it must contribute significantly fewer than 1,742 synapses to each CA1 pyramidal cell.

Convergence Onto CA1 Pyramidal Cells
Next, we calculated the convergence of various neuron types onto a CA1 pyramidal cell. We compared the calculated inputs with the observed synapses on CA1 pyramidal cell dendrites and somata (see Table 19, which reproduces data from Megias et al., 2001).

Excitatory synapses
Given the calculations above, we estimated that each pyramidal cell received 13,059 to 28,697 synapses from the Schaffer Collateral pathway. Additionally, each pyramidal cell received up to 1,742 synapses from the entorhinal cortex via the stratum lacunosum-moleculare-targeting portion of the temporoammonic pathway, and a smaller number of synapses from the entorhinal cortex via the alvear pathway. Previously, we had calculated that each pyramidal cell receives 197 synapses from The remaining "unclaimed" synapses left after subtracting the Schaffer Collateral inputs are also given. Because no dendrites were reported in the pyramidal layer (Megias et al., 2001), the boutons reported in the pyramidal layer were evenly divided between the stratum radiatum and stratum oriens. S. C.: Schaffer Collateral. Exc.: excitatory. Lac. Mol.: lacunosum-moleculare.
other local collaterals. In total, a CA1 pyramidal cell receives approximately 30,636 excitatory inputs (Megias et al., 2001). A summary of the excitatory convergence onto pyramidal cells is given in Table 22.

Perisomatic GABA1 synapses
Basket cells are known to synapse on and around the pyramidal cell soma, with CCK1 cell synapses being found further out from the soma than PV1 basket cell synapses (Foldy et al., 2010, in mouse). There are approximately 92 synapses, all GABAergic, on the pyramidal cell body; including the proximal oriens and thick radiatum dendrites that extend up to 100 mm from the soma, there are 518 perisomatic, GABAergic synapses (Megias et al., 2001). The ratio of PV:CCK basket cell synapses on the soma is about 2:1 (Foldy et al., 2010, in mouse). We multiplied the number of each type of basket cell by the number of boutons (Table 5) to get the total number of basket cell boutons in the CA1. Then we computed the average number of boutons that can synapse on each pyramidal cell, taking into account their preference for innervating pyramidal cells as discussed earlier. That gave a total of 289 basket cell synapses per pyramidal cell. We assumed that only basket cells synapse on the soma (Table 2). Since only 92 of these 289 synapses are found directly on the soma, we calculated that only 32% of basket cell synapses are on the soma. This calculation is slightly lower than the 51% observed experimentally for basket cells generally (Buhl et al., 1994a), or the 48 to 77% observed for CCK1 basket cells, specifically (Pawelzik et al., 2002). Subtracting the 92 synapses found on the soma (assuming all somatic GABAergic synapses are made by basket cells, Table 2) gave a total of 197 proximal dendritic synapses made by basket cells. That left 229 of the 518 perisomatic synapses (somatic, proximal basal, and thick, proximal radiatum synapses) unclaimed. However, since other cell types occasionally make perisomatic synapses as well (such as trilaminar cells (Ferraguti et al., 2005), bistratified cells (Buhl et al., 1994a), or ivy cells (Fuentealba et al., 2008a)), those could account for some of the perisomatic synapses found on the pyramidal cell.
To determine the convergence of basket cells onto a pyramidal cell, we divided the total number of synapses contributed from each basket cell type by the average number of synapses per connection made by each basket cell type. Therefore, we calculated that each pyramidal cell is innervated by 17 PV1 basket cells and 13 CCK1 basket cells.

Axon initial segment GABA1 synapses
There are at least 25 synapses on the axon of the CA1 pyramidal cell (Megias et al., 2001). This count only includes proximal synapses, though there are likely more synapses distally (Megias et al., 2001). These axonal synapses were not included in the dendritic or somatic counts for pyramidal cells, given in Table 19. Dividing the total number of boutons from all axo-axonic cells by the total number of pyramidal cells in the CA1, we calculated that there are 34 axo-axonic boutons for each pyramidal cell (assuming they only innervate pyramidal cells, see Buhl et al., 1994aBuhl et al., ,1994b and that a pyramidal cell receives input from about six axo-axonic cells on its proximal axon.

Proximal dendritic GABA1 synapses
The number of GABAergic synapses found on the proximal basal and apical dendrites of a pyramidal cell total 953 (Table 19) (Megias et al., 2001). A number of interneuron types synapse on these proximal dendrites of the pyramidal cell, which include the dendrites in the strata oriens and radiatum. This category encompasses bistratified cells, ivy cells, Schaffer Collateral-associated (SCA) cells, apical dendritic innervating (ADI) cells, large calbindin cells, trilaminar cells, and various projection cells (Klausberger and Somogyi, 2008). Note that some of the neurons associated with the stratum lacunosum-moleculare also synapse in the stratum radiatum. For example, neurogliaform cells located close to the strata lacunosum-moleculare/radiatum border make many of their synapses in the stratum radiatum (Vida et al., 1998). For this assessment, we generally assumed that the distally projecting neuron types only make synapses on the distal apical dendrites in the stratum lacunosom-moleculare (Table 2). However, we did account for the subset of neurogliaform cells identified in the stratum radiatum as synapsing within the stratum radiatum (see neuron numbers calculation above) and a small fraction of O-LM cell axons remaining in the stratum oriens.
Bistratified cell synapses. Bistratified cells synapse on the small and medium-sized dendrites, generally avoiding the main apical dendrite of the pyramidal cell (Klausberger et al., 2004). Multiplying the average number of boutons per bistratified cell by the estimated number of bistratified cells gave an average of 104 boutons per pyramidal cell, assuming that 92% of their boutons innervate pyramidal cells. Given that bistratified cells usually make 10 synapses per connection, each pyramidal cell receives input from 10 bistratified cells. The inputs from the bistratified cells represent about 7.5% of the inhibitory input synapses on the dendrites in strata oriens, pyramidale, and radiatum dendrites of the CA1 pyramidal cell.
Projection cell synapses. To calculate the contributions of the double projection and oriens-retrohippocampal cells to CA1 The lower end of the Schaffer Collateral range is based on the bouton counts from axonal fills of CA3 cells, while the upper end of the range is based on CA1 pyramidal cell synapse counts from Megias et al. (2001).
pyramidal cell innervation, we assumed that they had a similar number of local boutons as the so-called back-projection cell (Table 2). We calculated that these projection cells (which make up 4% of interneurons) could supply 2% of the available inhibitory dendritic synapses on CA1 pyramidal cells. The contribution of the other projection cell types could not be calculated since their cell numbers are unknown.
Ivy cell synapses. Given the number of ivy cells and the calculation of their classical bouton count, we estimated that a CA1 pyramidal cell receives 422 synapses from ivy cells. Ivy cells therefore innervate 28% of the synapses on the strata radiatum, pyramidale, and oriens dendrites of the pyramidal cell. Since ivy cells make about 10 synapses per connection, each pyramidal cell receives classical synaptic input from 42 ivy cells. If there are ivy cells that only influence pyramidal cells through volume transmission without making any classical synapses, we have not included them in this calculation of convergence.
Stratum radiatum neurogliaform cell synapses. As neurogliaform cells are often found near the border of the strata radiatum and lacunosum-moleculare, their axons sometimes fall within the stratum radiatum. Here, we made the simplifying assumption that those neurogliaform cells found in the stratum radiatum contribute their boutons to dendrites in the stratum radiatum. Earlier we had calculated that there were 610 neurogliaform cells in the stratum radiatum; therefore, they are expected to contribute a total of 24 boutons to the stratum radiatum dendrites of each CA1 pyramidal cell. Since neurogliaform cells make 10 synapses per connection, a single CA1 pyramidal cell likely receives classical synaptic input from two neurogliaform cells in the stratum radiatum. As with the ivy cells, if some neurogliaform cells contact pyramidal cells only through volume transmission but not classical synapses, they were not included in this calculation.
Schaffer collateral associated cell synapses. SCA cells synapse mainly in the stratum radiatum, but also in the stratum oriens. In the stratum radiatum, SCA cells prefer to synapse on the oblique dendrites rather than the main shaft (Klausberger, 2009). We estimated that a CA1 pyramidal cell receives 14 synapses from SCA cells. Since SCA cells make about six synapses per connection, each pyramidal cell receives input from about two SCA cells.
Apical dendritic innervating cell synapses. ADI cells have similar targets to SCAs but tend to innervate the main shaft more than SCA cells; in general, they prefer the large apical dendrites Klausberger, 2009). We do not know much about the axonal length or bouton density of ADI cells. We estimated above that there are 390 ADI cells in the CA1, but without any bouton data, their convergence cannot be estimated.
Other proximal dendritic synapses. Several other neurons known to innervate the basal and proximal apical dendrites have not been included here, such as so-called back projection, trilaminar, RADI, large calbindin, and some lesser-known CCK1 cell types. The numbers of these neurons are not known very precisely, nor are their bouton counts, with the exception of the bouton counts for the trilaminar cells.
Assessing the difference between interneuron boutons available for synapsing onto pyramidal cells and GABAergic synapses on pyramidal cell dendrites, we find that there are still available synapses on the dendrites for which we have not determined the source. In the stratum oriens, 290 inhibitory synapses on the basal dendrites (128 of them perisomatic) were still unclaimed. In the stratum radiatum, there were still 333 inhibitory synapses (87 perisomatic) remaining.

Distal dendritic GABA1 synapses
Neurogliaform, O-LM, and lesser well-known types such as the perforant path associated (PPA) and radiatumretrohippocampal projection cells are known to synapse on the distal dendrites in the stratum lacunosum-moleculare (Klausberger and . The total number of synapses made onto the distal apical dendrites of a pyramidal cell is 335 (Megias et al., 2001).
Neurogliaform cell synapses. As discussed above, a large portion of neurogliaform cell boutons are found in the stratum lacunosum-moleculare. We made the simplifying assumption that all of the neurogliaform cells found in the stratum lacunosummoleculare contributed their boutons to that layer. Therefore, 2,970 neurogliaform cells in the stratum lacunosum-moleculare contribute an average of 116 classical boutons per pyramidal cell and innervate 35% of stratum lacunosum-moleculare inhibitory synapses. It follows that each pyramidal cell receives input from 12 neurogliaform cells in the stratum lacunosum-moleculare and 14 neurogliaform cells overall, given that neurogliaform cells have been observed to make 10 synapses per connection (Tamas et al., 2003; also, see Table 2). As mentioned above, if some neurogliaform cells contact pyramidal cells only through volume transmission but not classical synapses, they were not included in this calculation.
O-LM cell synapses. About 99% of O-LM boutons remained in the CA1 (Sik et al., 1995), giving a total of 77 synapses per pyramidal cell (72 on the distal apical dendrites and 5 on the basal dendrites). We estimated that O-LM cells make 10 synapses per connection (Table 2) based on light microscopic observations (Maccaferri et al., 2000), such that eight O-LM cells converge on a single pyramidal cell.
PPA cell synapses. PPA cells seem to innervate small to medium-sized dendrites mostly in the stratum lacunosummoleculare (Vida et al., 1998;Klausberger, 2009). Accounting for the estimated number of PPA cells (490) and the local bouton count (8,000), the average number of boutons available per pyramidal cell is 12. Given that PPA cells make about six synapses per connection, we calculated a convergence of two PPA cells onto each pyramidal cell.
Other distal dendritic synapses. An average of 99 distal, stratum lacunosum-moleculare dendritic synapses per pyramidal cell remain unclaimed. Some of these synapses may be innervated by the radiatum-retrohippocampal cell, but we have no bouton information for that cell so we cannot calculate its contribution. Table 23 summarizes the estimated convergence of interneurons onto a single CA1 pyramidal cell, while Table 24 gives laminar innervation calculations. Although a CA1 pyramidal Note that several cell types are not included here, such as back-projection, radiatum-retrohippocampal, and more. The numbers in this table are based on Table 5 and the total number of cells from Table 4. Note that the total inhibitory synapses value here represents the number of input synapses for which the inputs have been determined here, not the total number observed as in Megias et al. (2001). M: million.  Megias et al. (2001). The "Total claimed" column gives the counts for the presynaptic cell types we have calculated in this assessment, and the "Total remaining" column gives the number of synapses remaining on the average pyramidal cell after subtracting the estimated innervation calculated in this assessment.

Summary of inhibitory convergence onto pyramidal cells
cell has been shown to have about 1,840 inhibitory synapses on its dendrites, soma, and axon, we only calculated 1,118 inhibitory inputs. Therefore, 39% of the inhibitory inputs remain unspecified by our calculations. There are several possible reasons for this discrepancy. We should consider that axonal fills of interneurons may be incomplete, or bouton density may be higher, or the fraction of boutons that participate in classical synapses from neurogliaform family neurons may be much higher, or the fraction of CA1 neurons that are interneurons may be higher than previously reported. Though some afferent projections to the CA1 are GABAergic, they mainly target interneurons rather than pyramidal cells (Freund and Antal, 1988;Gulyas et al., 1990;Melzer et al., 2012, in mouse), so we do not consider them significant here.

Convergence Onto CA1 Interneurons
Here, we first summarized available data about synapses onto various interneuron classes. Then we looked for a way to compare the number of input synapses with the number of boutons available to innervate them. Unfortunately, there are not sufficient data available to calculate the inputs for individual interneuron subtypes. Instead, we calculated the convergence onto a hypothetical average interneuron. This concept should not be taken to represent any particular interneuron type in the CA1; because the interneurons are so diverse, no average could adequately describe them (Soltesz, 2006). However, we believe the concept of a hypothetical average interneuron is helpful in this assessment for comparing available boutons with available input synapses.
For some neurochemical classes of interneuron, the input synapse numbers have been calculated (Table 25). These classes include CCK1, PV1, CB1, and CR1 cells. The CCK1 cell class represents CCK1 basket cells only. The PV1 class was heterogeneous, but the morphological traits varied smoothly such that there were no distinctive groups (Gulyas et al., 1999); it is likely that multiple PV1 cell types are included. The identity of the CB1 cell class was unclear. Judging from their dendritic distribution, the Type 1 neurons (Gulyas et al., 1999) could be large calbindin cells or perhaps CB1 bistratified cells. Since they do not have many dendrites in the stratum lacunosum-moleculare, they seem less likely to be SCA or PPA cells. The Type 2 neurons mentioned here but not analyzed look to be double projection cells (Gulyas et al., 1999). The CR1 cell type is likely to include multiple interneuronspecific cell types (Gulyas et al., 1999). Takacs et al. (2012) found that 93% of Schaffer Collateral synapses were made onto pyramidal cells, while 7% of synapses were made onto interneurons. We started with the number of Schaffer Collateral synapses on pyramidal cells and used the ratio to determine the Schaffer Collateral synapses available for interneurons. This gave an average of 7,952 to 17,476 Schaffer Collateral synapses onto each interneuron (Table 26), depending on whether we counted only the observed boutons on the CA3 neurons or what we calculated must be the total number based on the available CA1 pyramidal cell synapses in the strata radiatum and oriens.

Excitatory afferents
Performing the same exercise with the remaining stratum lacunosum-moleculare inputs (assuming they are all from the entorhinal cortex, Table 2) gave an additional 1,394 entorhinal cortical boutons available per interneuron, since 9% of the entorhinal cortical input to the stratum lacunosum-moleculare synapses on interneurons (Takacs et al., 2012). Additionally, there are 2,211 boutons per interneuron from the local collaterals of the CA1. This gave a total of 11,557 to 21,081 excitatory inputs (Table 26), much higher than most of the observed values in those classes reported in Table 6, where the weighted average gives 9,461 excitatory inputs per interneuron. Note that it does not include entorhinal cortical inputs coming from the alvear pathway (in which the fraction of synapses made onto interneurons is high, at 21%, see Takacs et al., 2012), so the actual number of available excitatory boutons may be even higher. Additionally, interneurons receive non-GABAergic input from subcortical sources. They also receive some cholinergic input from the septum, and serotonergic and glutamatergic input from the raphe Freund et al., 1990;Freund and Gulyas, 1997;Varga et al., 2009). Of course, not all interneurons receive inputs from all excitatory sources, so  (Gulyas et al., 1999;Matyas et al., 2004;Takacs et al., 2008 a Hippocampal-septal cells, classified by their projection target rather than a marker expressed. There are also inputs from the entorhinal cortex via the alveus, as well as from other afferents.
there may be a significant variation in total number of excitatory inputs across all interneuron types.

Inhibitory inputs
There is not sufficient quantitative information to calculate the convergence of inhibitory inputs onto specific interneuron types. However, an excellent recent qualitative review of interneuron-interneuron connectivity is given in Chamberland and Topolnik (2012) and a detailed analysis of specific connections seen in the literature is underway as part of the Hippocampome project (hippocampome.org). Instead, we employ the concept of the hypothetical average interneuron, as described above. Table 27 calculates the number of local GABAergic boutons received by the hypothetical average interneuron. The average number of local boutons, 692, is reasonable given the number of GABAergic inputs (local and projections) received by several classes of interneurons (46223,080 with a weighted average of 1,274, see Table 6). Since the estimate does not include the contributions from the interneuron-specific cells or inhibitory afferents, the actual number would be higher. Regarding the afferents, note that interneurons also receive GABAergic input from the entorhinal cortex and the septum (Freund and Antal, 1988;Borhegyi et al., 2004;Melzer et al., 2012, in mouse). Finally, when considering the difference between the hypothetical average interneuron and a real interneuron class, it should be realized that the laminar distribution of interneuron dendrites is highly variable. Therefore, some interneurons receive no input from a particular interneuron type. Conversely, those interneurons that do receive input from a particular interneuron type may receive significantly more input than would the hypothetical average interneuron.

DISCUSSION
We were able to confidently estimate the numbers of the most abundant interneuron types in the CA1, including the PV1 basket, bistratified and axo-axonic cells, the O-LM cells, the CCK1 basket cells, and the neurogliaform family cells (ivy and neurogliaform). Together, these cell types constituted 70% of GABAergic interneurons in the CA1. We also estimated that interneuron-specific cells make up an additional 19% of GABAergic interneurons. By making some layer-based assumptions, we were able to estimate the numbers of an additional 5% of interneurons comprising the remaining CCK1 cell types. The remaining SOM1 cells and other projections cells were less readily quantifiable, but appeared to constitute 5 to 7% of the GABAergic interneurons, with other, more obscure cell types making up the remaining fraction (about 1%).
Regarding the calculations of cell numbers, some previous estimates exist. Freund and Gulyas (1997) estimated that CR1 cells comprise 13% of all hippocampal interneurons. By our calculations (adding IS I, IS III and possibly the small subset of CB2 septally projecting cells), the CR1 cells constitute 14 to 15% of CA1 cells, roughly the same as the previous estimate. Baude et al. (2007) estimated the fraction of interneurons that were PV1 basket, bistratified, or axo-axonic cells as 12%, 5%, and 3%, respectively. We reached a similar conclusion, with fractions of 14%, 6%, and 4%, for PV1 basket, bistratified, and axo-axonic cells. Jinno and Kosaka (2006) have provided experimental observations of the neurochemical composition per layer and laminar distribution, but for mouse hippocampus. It is not clear whether these data in rat and mouse should match, as the laminar distribution data for various markers have been shown to Because interneuron dendrites generally don't span all layers and because there is some selectivity among interneuron-interneuron connections, these numbers are not representative of any one interneuron. Rather, each interneuron is expected to receive inputs from only a subset of those listed above and may receive significantly more boutons and have a higher convergence from those types than the values listed here. Also note that the GABAergic inputs from the IS I, II, and III cell types and the GABAergic afferents are not included here.
be somewhat different for rat (Kosaka et al., 1985(Kosaka et al., , 1987(Kosaka et al., , 1988Nomura et al., 1997b;Pawelzik et al., 2002;Fuentealba et al., 2010) and mouse (Jinno and Kosaka, 2006), as seen in Tables 10, 11, 14, and 17. As more data about the expression of all markers by each interneuron type become available and standardized (hippocampome.org), it will be possible to calculate the expected neurochemical composition per layer in rat, based on the cell number estimates provided here.
In quantitatively assessing the CA1, we have taken most of our data from the rat. However, some data were not available for the rat CA1 and so we used observations made in mouse, instead. This includes the percent of SOM1 cells projecting to the medial septum. In addition, the ratio of PV1 basket cell boutons to CCK1 basket cell boutons, used to calculate the total number of CCK1 basket cells, was averaged from two experiments done in mouse. Finally, the number of synapses per connection made by PV1 basket cells and CCK1 basket cells onto pyramidal cells was taken from mouse data. We are not aware of published differences between rat and mouse regarding the projection cells or the basket cell connectivity.
For a few data points, we relied on data from other parts of the brain than the CA1. This occurred for the neurogliaform family bouton properties: the fraction of boutons forming classical synapses (taken from somatosensory cortex) and the density of boutons (taken from the dentate gyrus and CA3). We are not aware of significant differences between neurogliaform cells of the somatosensory cortex and the CA1. However, we have taken care to note the fraction of boutons forming classical synapses in the assumption table. Because the bouton densities in the dentate gyrus and CA3 were similar, we believe that the bouton densities of neurogliaform family cells in the CA1 will also be similar to the those in the dentate gyrus and CA3.
In estimating the connectivity of the CA1, we performed an initial calculation of the excitatory and inhibitory convergence onto CA1 pyramidal cells, as well as onto a hypothetical average interneuron. The calculation revealed that we could only account for about half of the excitatory and inhibitory inputs to CA1 pyramidal cells based on known afferent and interneuron axon data and our calculated cell numbers. We were surprised by the magnitude of the difference and hope that the exposure of this difference will drive more experiments to fill in this gap of our knowledge. In contrast to the pyramidal cell, the convergence onto the hypothetical average interneuron aligned with or exceeded our expectations based on the observed input synapses for several classes of interneurons.
In general, we expect that our estimates could be refined as the projection cell types become better defined and their marker combinations further characterized. In addition, more sophisticated ways are needed to distinguish the various CCK1 cell types, rather than relying on laminar position. We also look forward to more data becoming available for the lesser-known cell types, such as the large calbindin cell, RADI cell, and the enkephalin-expressing subicular projecting cell.
More in vivo axon fills of interneurons would help refine the divergence calculations for axo-axonic cells, CCK1 cells, and interneuron-specific cells. Also, convergence data in the form of what percent of inhibitory inputs onto pyramidal cells are associated with the various neurochemical markers would provide a validation of our convergence calculations and could explain the source of the remaining 39% of GABAergic inputs that were unknown in this assessment. Further quantification of excitatory inputs is also necessary, especially those targeting the stratum lacunosum-moleculare. With the current, quantitative knowledge of the CA1, researchers will be better able to hypothesize about and quantify the roles of the various interneuron types in network functions. In addition, the knowledge base will also be critically important for the construction of more accurate, biologically constrained computer models of the CA1, similar to the data-driven models of the dentate gyrus (Santhakumar et al., 2005;Morgan and Soltesz, 2008;Schneider et al., 2012). The assembled data will also allow better contrasting of the network makeup of the CA3 and other regions with that of the CA1.
We propose that additional anatomical experiments be carried out to validate our quantifications, to replace the assumptions made in Table 2 with experimental data, and to fully determine the convergence of each interneuron type onto pyramidal cells and interneurons. It seems appropriate to suggest that the rat CA1 region can and should be fully quantified in the near future. When such a milestone is reached, the assessment can be further extended by comparison among species, strains, or individuals. This "Big Data" approach (Mayer-Schonberger and Cukier, 2013) to neuroanatomy will enable researchers to quantify fully the role of each interneuron within the CA1 network and to assess precisely the anatomical bases of the differences in network function across species.