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Inactivity and Ca2+ signaling regulate synaptic compensation in motoneurons following hibernation in American bullfrogs

Neural networks tune synaptic and cellular properties to produce stable activity. One form of homeostatic regulation involves scaling the strength of synapses up or down in a global and multiplicative manner to oppose activity disturbances. In American bullfrogs, excitatory synapses scale up to regulate breathing motor function after inactivity in hibernation, connecting homeostatic compensation to motor behavior. In traditional models of homeostatic synaptic plasticity, inactivity is thought to increase synaptic strength via mechanisms that involve reduced Ca2+ influx through voltage-gated channels. Therefore, we tested whether pharmacological inactivity and inhibition of voltage-gated Ca2+ channels are sufficient to drive synaptic compensation in this system. For this, we chronically exposed ex vivo brainstem preparations containing the intact respiratory network to tetrodotoxin (TTX) to stop activity and nimodipine to block L-type Ca2+ channels. We show that hibernation and TTX similarly increased motoneuron synaptic strength and that hibernation occluded the response to TTX. In contrast, inhibiting L-type Ca2+ channels did not upregulate synaptic strength but disrupted the apparent multiplicative scaling of synaptic compensation typically observed in response to hibernation. Thus, inactivity drives up synaptic strength through mechanisms that do not rely on reduced L-type channel function, while Ca2+ signaling associated with the hibernation environment independently regulates the balance of synaptic weights. Altogether, these results point to multiple feedback signals for shaping synaptic compensation that gives rise to proper network function during environmental challenges in vivo.

We previously found that motoneurons scale up excitatory synapses in response to hibernation, which acts to maintain respiratory motor outflow immediately after the animal restarts breathing 15 . Therefore, this system allows the study of synaptic compensation in relation to motor behavior and points to conserved mechanisms across mammals and amphibians in the natural environment.
In mammalian systems, synaptic compensation is thought to be induced by variables related to inactivity, for example, decreases in firing rate or postsynaptic receptor activation [21][22][23] . From there, decreases in intracellular calcium represents a message that is proportional to activity, with the capacity to influence Ca 2+ -dependent signaling that drives compensation 24 . Reduced Ca 2+ influx through L-type calcium channels in particular plays a critical role in eliciting synaptic compensation in diverse neuronal types 22,25,26 . Given that hibernation causes a large and chronic reduction in neuronal output, inactivity and subsequent reductions in Ca 2+ influx may trigger synaptic compensation that serves to regulate motor performance 15,16 . However, aquatic hibernation involves diverse physiological changes to the animal 27 , raising questions about whether inactivity or other aspects of the organismal environment, such as temperature, control synaptic compensation. To begin to approach this question, we tested the hypothesis that inactivity and reduced voltage-gated Ca 2+ channel function are sufficient to drive up synaptic strength in frog respiratory motoneurons. The amphibian respiratory network is well-suited to address this question, as "fictive breathing" motor patterns persist in dissected brainstem preparations for > 24 h ex vivo 28 . This allowed us to perform chronic pharmacological manipulations to the native network without the need for cell culture conditions. To this end, we isolated the respiratory network ex vivo, silenced activity with tetrodotoxin (TTX) or blocked L-type Ca 2+ channels with nimodipine. We then compared synaptic responses to these manipulations with that seen during hibernation and then tested whether hibernation occludes the synaptic response induced by these drugs. This allowed us to infer whether network inactivity and Ca 2+ channel blockade overlap with pathways triggered by hibernation, a similar "sufficiency/occlusion" approach used to relate long-term potentiation of synaptic strength to learning at hippocampal synapses 29 .

Results
Amphibians inflate the lungs with positive pressure, whereby muscles of the buccal floor and glottis form a pumpvalve system for lung ventilation. Laryngeal motoneurons that innervate the glottal dilator, the value muscle, (Fig. 1A) undergo compensatory upregulation of AMPA-glutamate receptor currents in response to ~ 2 months of aquatic hibernation 15 . To simulate the overwintering environment in this study, frogs were cooled from 20 to 2 °C over one week and then held at 2 °C for either two or four weeks before assessing synaptic strength in brain slices. Consistent with our previous report with hibernation at longer time scales, synaptic strength of laryngeal motoneurons, as assessed by the amplitude of spontaneous excitatory postsynaptic currents (sEPSC), increased in frogs exposed to the simulated hibernation environment at both two and four weeks (Fig. 1B,C) with no change in sEPSC frequency (Fig. 1D). These results confirm postsynaptic compensation in response to hibernation and demonstrate that upregulation of excitatory synaptic strength plateaus at a new steady-state value relatively early into aquatic submergence. All subsequent experiments were performed in animals that experienced 4 weeks in the hibernation environment.
Variables associated with inactivity (i.e., loss of postsynaptic firing or synaptic transmission) can drive homeostatic increases in synaptic strength 21,22 . Our rationale was that if synaptic compensation during winter is responding to inactivity, pharmacological inactivity may produce a similar degree of synaptic compensation as hibernation, thus demonstrating inactivity as a sufficient signal to generate the hibernation response. To test this, we silenced intact respiratory networks in the brainstem-spinal cord preparation with 100 nM TTX for 16 h. Figure 2A shows extracellular recordings of respiratory-related motor output from the vagus nerve, highlighting that activity is present in time control and post-hibernation preparations throughout the 16 h period but eliminated by TTX. While the time course of hibernation (one month) and shorter-term TTX (16 h) are different, synaptic scaling has been observed to manifest after 4 h of inactivity in vitro 22 . We compared average miniature excitatory postsynaptic current amplitude in slices (mESPCs) following network inactivity induced by TTX to Time Controls (control preparations with rhythmic activity present for 16 h at 22 °C) and Post-Hibernation preparations (preparations recovered following hibernation for 16 h at 22 °C; Fig. 2A). TTX and hibernation groups exhibited similar mean increases in cell-averaged mEPSC amplitude relative to Time Control preparations. These mean increases were not different from each other (Fig. 2B,C). Therefore, TTX produces a similar average amount of synaptic compensation as hibernation, despite dramatically different durations and modes of inactivity.
The previous experiment demonstrated that inactivity via TTX is sufficient to drive synaptic compensation in this system. Next, we determined if hibernation occludes the synaptic response to TTX. If hibernation prevents further increases by TTX, this may reflect overlapping signaling processes. However, if TTX and hibernation produce additive responses, this may suggest divergent signaling pathways for compensation. When we exposed post-hibernation preparations to TTX for 16 h, we did not observe further significant increases in synaptic strength by TTX compared to hibernation alone (Fig. 3A,B). Membrane properties, mEPSC frequency, and mEPSC decay time constant were not different across control, post-hibernation, TTX, and post-hibernation + TTX groups (Fig. 4). Overall, these data suggest that hibernation occludes synaptic compensation to TTX.
To upregulate synaptic strength in an inactivity-dependent manner, we hypothesized that reduced Ca 2+ influx through voltage-gated Ca 2+ channels may play a role. Thus, we exposed rhythmic circuit preparations to 10 µM nimodipine, a blocker of L-type Ca 2+ channels in motoneurons of this system 30 for 16 h. Exposure of warmacclimated preparations to nimodipine did not affect mean mEPSC amplitude or the distribution relative to warm-acclimated time controls (Fig. 5A,B). Therefore, block of L-type Ca 2+ does not mimic the synaptic response to TTX and hibernation. Post-hibernation preparations exposed to nimodipine still resulted in upregulation of cell-averaged mEPSCs compared to time controls (Fig. 5A,B), just as we observed with TTX, hibernation, and hibernation + TTX. When comparing the post-hibernation + nimodipine group to post-hibernation alone, www.nature.com/scientificreports/ cell-averaged mEPSC amplitude were not different (Fig. 5C). Overall, reduced L-type channel function does not drive compensation in this system. Given that the entire mEPSC amplitude distribution is thought to be regulated by a multiplicative scaling factor during inactivity 24 , we tested whether the increase in postsynaptic strength in each of our experimental conditions increases according to a multiplicative scaling rule. We used the rank-order method to test for scaling of mESPC amplitudes in populations of neurons 4,8,31 . To do this, mEPSCs from control and treatment groups (TTX, hibernation, hibernation + TTX, hibernation + nimodipine) were rank-ordered from the smallest to largest amplitude, plotted against each other (ranked control vs. ranked treatment), and fit with a linear regression (Supplemental Fig. S1). The treatment distribution for each form of inactivity was then mathematically downscaled by the equation of the line, and the scaled distribution was compared to control. Evidence for multiplicative scaling is usually taken as a statistically indistinguishable matching between the scaled and control distributions of mEPSC amplitudes 4,12,32 .
All treatments strongly right-shifted the amplitude distribution of mEPSCs relative to controls, as expected based on the mean upregulated synaptic strength for all conditions (Fig. 6A-E; K-S test; time control vs. all treatment conditions; p < 0.0001). When we performed the linear transformation to downscale each treatment distribution, interestingly, not all showed evidence of multiplicative synaptic scaling. Hibernation and hibernation + TTX, led to multiplicative scaling (Fig. 6B,C), but TTX alone (Fig. 6A) and hibernation in the presence of nimodipine (Fig. 6D,E) did not. These results suggest that hibernation upregulates synaptic drive while maintaining the balance of synaptic weights according to a scaling rule as we previously showed 15 . However, the multiplicative organization of compensation appears to be maintained by Ca 2+ signaling through L-type channels, www.nature.com/scientificreports/ independent from factors that increase mean synaptic strength, as blocking voltage-gated Ca 2+ channels disorganized multiplicative scaling but did not alter the mean increase in synaptic drive. It has been recently suggested that plotting the ratio of treatment to control across the distribution of mEPSCs provides another way to assess if scaling is uniformly multiplicative 34 . In this case, a flat line across the entire distribution would suggest scaling is multiplicative. Therefore, we plotted the ratio of treatment/control vs. control for each experimental group (Supplemental Fig. S2). Consistent with the linear transformation method, both hibernation data sets showed a roughly flat ratio line relative to situations where scaling has been deemed "non-uniform" 33,34 . The pattern for both hibernation groups differ visually from TTX alone (green) and posthibernation + nimodipine (light green), with post-hibernation + nimodipine deviating substantially from uniform scaling (Supplemental Fig. S2). These results suggest hibernation increases the mEPSC distribution in a roughly multiplicative manner and Ca 2+ signaling maintains multiplicative organization after hibernation.
To infer the role of these synaptic modifications on network function, we assessed circuit activity of the intact respiratory network. The respiratory network is a central pattern generating network which permits the recording of these motor neurons as they receive their normal presynaptic inputs ex vivo (Fig. 7A). In this preparation, extracellular population motor burst frequency of the cut vagus root provides information regarding the function of the rhythm generating networks 35 , and integrated burst shape relates to motoneuron firing and/or recruitment that drives contraction of respiratory muscles 36 . Thus, we could observe physiological output from motoneurons under conditions where synaptic strength did not change (control and warm-nimodipine), where it was upregulated and multiplicatively scaled (post-hibernation), and upregulated but not correctly scaled (post-hibernation + nimodipine). Across controls, post-hibernation, and post-hibernation + nimodipine, no differences existed in frequency of the respiratory rhythm at 13 h in vitro (one-way ANOVA, p = 0.3215). However, www.nature.com/scientificreports/ preparations treated with nimodipine for 13 h after hibernation had shorter motor burst widths relative to all other groups (Fig. 7A,B). Burst width narrowing appeared to be a chronic effect induced by nimodipine following hibernation, as acute application did not affect burst width, and burst width without nimodipine (control or post-hibernation) did not change with time ( Fig. 7C). In addition, membrane potential, input resistance, and action potential firing frequency of motoneurons were not different across groups, indicating chronic nimodipine does not induce changes in intrinsic membrane properties ( Fig. 7D-F). Overall, these experiments suggest that inactivity increases synaptic strength in response to hibernation and proper scaling of the mESPC distribution appears to be important for normal network function associated with breathing after hibernation.

Discussion
Neural circuits can compensate for activity perturbations with the apparent goal of regulating neuronal output. The respiratory network must produce appropriate motor drive for breathing after potentially months of network inactivity during hibernation in American bullfrogs. Our previous results showed that scaling up the strength of motoneuron synapses helps promote motor output after hibernation to generate breathing. Data here support the idea that inactivity during hibernation drives up synaptic strength and that Ca 2+ signaling independently controls the precise distribution of upregulated synaptic weights. Overall, these results suggest that multiple signals interact to regulate synaptic compensation in response to environmental challenges in vivo. We previously showed that synaptic strength increases at ~ 2 months of hibernation 15 . Here we demonstrate that increases in synaptic drive are present at 2 weeks into aquatic hibernation, which saturate a new steady-state level (Fig. 1C). These responses were comparable to short-term inactivity by TTX (Fig. 2C) and are therefore consistent with upregulation of synaptic strength in response to a signal related to inactivity. Supporting this conclusion, TTX did not cause further increases in synaptic strength when applied after hibernation, suggesting the mechanisms involved in enhancing synaptic strength were already engaged by hibernation. In this regard, inactivity may upregulate synaptic strength through mechanisms that involve the loss of spiking, reduced AMPA receptor activation, and reduced neuromodulation 21,37,38 . That said, synaptic compensation does not seem to strictly follow negative feedback regulation, as inactivity over vastly different time scales (16 h to 1 month) produced similar degrees of mean synaptic strengthening. Additionally, synaptic strength remained elevated despite the return of activity for at least 16 h after hibernation and did not differ when activity was present or absent during the post-hibernation period. Thus, our results indicate that inactivity likely drives up synaptic strength, but a more complicated regulation scheme appears to influence the maintenance of this plasticity. www.nature.com/scientificreports/ L-type Ca 2+ channels are attractive mediators of synaptic compensation, as they communicate changes in intracellular Ca 2+ to the nucleus and other intracellular signaling pathways during inactivity 22,25 . In contrast, chronic block of L-type Ca 2+ channels did not affect the mean mEPSC amplitude. Although our data rule out the possibly for a role of nimodipine-sensitive L-type Ca 2+ channels in compensation, other Ca 2+ channels could contribute. For example, in respiratory motor neurons of this species, nimodipine blocks 30-40% of the high-voltage activated Ca 2+ current 30 , indicating the expression of other somatodendritic calcium channels on respiratory motoneurons. Nevertheless, reduced activity of L-type Ca 2+ channels do not appear to drive synaptic compensation, differing from traditional models of homeostatic plasticity in neuronal cultures 22,25,26,39 .
Synaptic inputs are often upregulated across the entire distribution by the same multiplicative factor 4 . An interesting finding of this study is hibernation, but not TTX, exhibited multiplicative scaling when assessed using a linear transformation of ranked mEPSCs 4,8,14 . While we present evidence for and against multiplicative scaling under different conditions, we note recent studies suggesting complexity in this interpretation. Synaptic spine density and AMPAR expression at individual synapses do not scale uniformly within the same neuron even though multiplicative scaling appears to occur at the population level 40,41 . A recent study also suggested that TTX may not lead to multiplicative scaling in different mammalian neuronal types when assessed using the linear transformation method 34 , although significant evidence points to the contrary 12,22,42,43 . Consistent with multiplicative scaling as assessed by the linear transformation (Fig. 6), the ratio of the post-hibernation:control amplitude distribution plotted as a function of control amplitude is relatively flat compared to other systems where scaling has been considered "non-uniform" 33,34 (Supplemental Fig. S2). Although both lines of evidence point to multiplicative scaling, we acknowledge that the ratio line is not perfectly straight. This likely occurs in part because the "rank-ratio method" 34 does not account for values on the bottom of the treatment distribution that lack a partner in the control distribution due to the mEPSC detection cutoff. Misalignment due to the cutoff, therefore, can make perfectly uniform scaling appear non-uniform 34 . The linear transformation method controls in part for this issue through the y-intercept term 4,31,32 so long as the mEPSCs are evenly spread across various amplitudes 41 , which appears to largely hold for our data (Supplemental Fig. S1). Collectively, these results support the idea that hibernation drives up synaptic strength while maintaining the balance of synaptic weights, while inactivity without hibernation upregulates synaptic strength without multiplicative scaling.
Our results suggest that a separate factor associated with hibernation controls the multiplicative nature of synaptic compensation, since inactivity without hibernation does not follow the same pattern (Fig. 6). Interestingly, we find that blocking L-type Ca 2+ channels following hibernation disrupted multiplicative scaling without influencing the cell-average amount of compensation (Fig. 6). These results suggest that Ca 2+ feedback maintains multiplicative scaling after hibernation, and these processes are separate from those that upregulate mean www.nature.com/scientificreports/ synaptic strength in response to inactivity in the first place. Given that we observed evidence for multiplicative scaling after hibernation in the presence of TTX (Fig. 6), the sum of our data suggest maintenance of the multiplicatively scaled mEPSC distribution is Ca 2+ -dependent but not activity-dependent. As intracellular calcium transients tend to follow patterned activity, these results may appear contradictory. However, spontaneous neurotransmitter release in silent neurons can activate L-type channels at subthreshold voltages to induce neuronal plasticity 44,45 , which has the potential to explain this pattern of results. Although this interpretation applies most directly to the maintenance of multiplicative scaling after hibernation, it may also account for its induction during hibernation as well. As cold temperature increases membrane input resistance 46,47 , spontaneous neurotransmitter release may cause larger postsynaptic depolarizations compared to warm animals, generating significant Ca 2+ influx through L-type channels to orchestrate scaling during the winter. This interpretation diverges significantly from classic models of synaptic scaling through a multiplicative factor that drives up synaptic strength in response to inactivity per se. Instead, our data suggest that inactivity during winter upregulates synaptic strength (Figs. 2, 3) through mechanisms that do not involve multiplicative scaling (Fig. 6A), and the hibernation state engages a separate regulatory system involving L-type Ca 2+ channels to "rebalance" the mEPSC distribution (Fig. 6D,E).
Although we did not observe differences in rhythmic burst frequency of the network in nimodipine, it is possible that chronic nimodipine altered the firing pattern of motoneurons during ongoing rhythmic activity, and subsequently modified the scaling arrangement after hibernation. These parallel pathways warrant further investigation and may be relevant to complex physiological perturbations in other systems.
Our previous study identified that upregulation of synaptic strength acts to maintain motor output associated with breathing following hibernation 15 . Here we present evidence that proper organization of the mEPSC amplitude distribution influences network function, as failure to correctly scale synaptic inputs after hibernation reduced respiratory motor output (Fig. 7). We recognize the challenge of attributing changes in network-level www.nature.com/scientificreports/ properties to shifts in the distribution of synaptic weights, and we made several attempts to address other variables that could explain these results. First, rhythmic burst frequency of the network was the same across all groups ex vivo; thus, overall activity differences are unlikely to explain shorter motor bursts. Second, several intrinsic membrane properties were not different across scaled and "non-scaled" organizations of compensation ( Fig. 7D-F), suggesting that changes in excitability did not weaken the motor outflow. Third, nimodipine exposure in warm-acclimated control preparations did not affect any other electrophysiological property, arguing against actions of nimodipine on different parts of the network (Figs. 6, 7). Finally, acute exposure to nimodipine did not affect burst duration in any group (Fig. 7C), suggesting that chronic nimodipine exposure after winter reduces motor outflow by disrupting the mEPSC amplitude distribution. All of this said, we cannot state with certainty if narrower respiratory bursts reflect improperly organized synapses on motoneurons (Fig. 6D,E) or actions of nimodipine on premotor neurons that regulate motor outflow in a hibernation-dependent manner. Nevertheless, these results, in concert with our previous findings 15 , indicate that synaptic scaling is important for regulating motor performance shortly after inactivity in hibernation.   Fig. 7). More broadly, our results suggest that homeostatic synaptic plasticity could involve a more complicated regulation scheme when implemented in living animals during natural perturbations. Synaptic compensation is often viewed as a conceptually simple feedback process, whereby neurons sense their activity state and elicit appropriate compensation in attempt to regulate network output. In contrast, our data suggest that different environmental variables may control different aspects of the same compensation response. Many neurological disorders are thought to involve a failure of homeostatic synaptic and intrinsic mechanisms 9 , all of which occur in complex organisms with diverse types of environmental feedback onto the nervous system. Our results emphasize that confronting how the environment shapes compensation will be necessary to understand the expression and control of homeostatic compensation. Learning Figure 7. A failure to precisely scale motoneuron synaptic strength is associated with reduced respiratory motor outflow. (A) Simplified schematic of the brainstem preparation, highlighting integrated respiratoryrelated motor output recorded from the vagus nerve. The four groups shown are time control, post-hibernation (associated with scaled compensation), warm-acclimated + nimodipine (no compensation, no scaling), and post-hibernation + nimodipine ("unscaled" compensation) for 13 h in vitro. Traces are compressed or expanded and overlayed to highlight differences across groups. (B) Nimodipine applied following hibernation resulted in narrower respiratory bursts from the vagus nerve (One-way ANOVA with Holm-Sidak's Multiple Comparisons Test; control vs. post-hibernation nimo, p = 0.049, post-hibernation vs. posthibernation nimo, p = 0.007, nimo vs posthibernation nimo = 0.041). (C) Nimodipine resulted in a slow reduction of burst width in the post-hibernation group, as acute exposure to nimodipine did not affect burst amplitude in any group (Two-way ANOVA followed by Holm-Sidak's multiple comparisons tests). However, burst width decreases with longer exposure of nimodipine only after hibernation. Intrinsic membrane properties were not different across groups. Membrane potential (D, p = 0.356; Kruskal-Wallis test), input resistance (E, p = 0.409; Kruskal-Wallis test), firing frequency at 3 × rheobase (F; p = 0.504; one-way ANOVA). For (A), n = 6, 6, 6, and 5 brainstem preparations for control, post-hibernation, nimodipine, and post-hibernation nimodipine, respectively. For (D,E), n = 20, 17, 20, and 19 neurons for control, post-hibernation, nimodipine, and posthibernation + nimodpine, respectively. For assessment of firing rate (F), n = 7, 6, 6, 7 neurons were used in control, post-hibernation, nimodipine, and post-hibernation + nimodpine, respectively. Box and whisker plots show the interquartile range. Whiskers extend to maximum and minimum values *p < 0.05, **p < 0.01. www.nature.com/scientificreports/ from animals that use these mechanisms to survive extreme environments, therefore, has the potential to provide new insight into the regulation of neuronal function in both health and disease states.

Materials and methods
Ethical approval and compliance. All animal treatments and protocols were approved by the Institutional Animal Care and Use Committee (IACUC) at the University of North Carolina at Greensboro (protocol #19-006). All methods reported are in accordance with the IACUC at University of North Carolina-Greensboro, as well as the ARRIVE guidelines.
Animals. Bullfrogs of either sex weighing approximately 100 g were purchased from Rana Ranch (Twin Falls, ID, USA). Control frogs were maintained at 20 °C in plastic tubs and were provided aerated water with access to wet and dry areas. Frogs were fed pellets provided by Rana Ranch once per week. Hibernation conditions were simulated in temperature controlled incubators. The temperature of water was lowered from 20 to 2 °C over the course of a week, dropping about 2°-3° per day. On the seventh day, a plastic screen was placed at the top of the water to prevent access to the surface. Frogs do not eat at cold temperatures; therefore, food was also withheld while they remained at 2 °C. Frogs in each condition were kept on a 12 h:12 h light:dark cycle. For all experiments, frogs were randomly assigned to each experimental group upon delivery to the animal facility. Experiments were only performed during the light cycle.
Dissection and tissue preparation. Brainstem-spinal cord dissections were performed as previously described 15 . Briefly, frogs were deeply anesthetized with approximately 1 ml of isoflurane in a one liter container. After loss of the toe pinch reflex, the animals was rapidly decapitated. To label laryngeal branch motoneurons that innervate the glottal dilator, the 4th branch of the vagus nerve was isolated and then backfilled tetramethylrhodamine dextran 3000 MW (Life Technologies Corporation, Eugene, OR USA). Approximately 1 μL of 10% dextran was loaded into the tip of a glass pipette that fit snuggly around the cut 4th root of the vagus, as this nerve contains axons that mainly innervate the glottal dilator see references provided in 15 . Backfills lasted two hours and produced robust labeling of neurons for identification prior to electrophysiological recording. Following the dye loading process, brainstem sections were sliced with a vibratome at a thickness of 300 µM. Sections approximately 300-600 µm rostral to the obex were used for electrophysiological recording. Brainstem slices were left to recover for an hour before electrophysiological recording.
Whole-cell patch clamp recordings. Slices containing labeled motoneurons were transferred to the recording chamber, stabilized with a nylon grid, and exposed to aCSF at a flow rate of ~ 1-2 mL per min supplied via a gravity-fed system. The region containing labeled neurons was imaged at 4×, and then individual neurons were located within the slice at 60x (excitation, 540 nm: emission, 605 nm). Imaging was performed with a Hamamatsu ORCA Flash 4.0LT sCMOS Camera (Hamamatsu Photonics, Japan). Identified neurons were approached with the whole-cell patch pipette controlled by a Sutter Instruments micromanipulator system, which was equipped with a MP-285 micromanipulator and a MPC-200 controller (Sutter Instruments, CA, USA). A P87 horizontal pipette puller (Sutter Instruments, Novato, CA, USA) was used to pull patch pipettes, which had resistances of 2-3 MΩ when filled with solution containing the following composition (in mM): 110 K-gluconate, 2 MgCl 2 , 10 HEPES, 1 Na 2 -ATP, 0.1 Na 2 -GTP, 2.5 EGTA. Pipettes were attached to a headstage connected to an Axopatch 200B amplifier, with signals digitized at 100 kHz using a Digidata 1550 (Molecular Devices, San Jose, California). The cell of interest was approached with gentle positive pressure on the pipette. When an indentation could be seen on the cell in the bright field with IR-DIC optics, positive pressure was removed and a > 1 GΩ was formed by applying slight negative pressure through the pipette by mouth. Whole-cell access was obtained by rapid negative pressure applied by mouth to rupture the GΩ seal. For measurements of excitatory postsynaptic currents, cells were voltage clamped at − 80 mV to record synaptic currents mediated by AMPA receptors 15 . When spontaneous excitatory synaptic currents (sEPSCs) were recorded in aCSF, no TTX was included during the recording. When miniature excitatory postsynaptic currents (mESPCs) were recorded, 500 nM TTX was added the aCSF. A + 10 mV step from − 80 mV to − 70 mV was periodically performed to estimate series resistance (peak of the transient current) and input resistance (steady-state current) using Ohm's law. Measurements of membrane potential were made in current clamp, and firing rate was assessed at 3 × rheobase in some current clamp experiments before application of TTX to measure mEPSCs. We often recorded more than one neuron per slice; however, TTX does not have a fast washout time in this preparation; therefore, firing properties in current clamp were not assessed for every cell. Previous work in these neurons indicates that firing responses to current injection does not change following hibernation 15 , and our results in this study, despite a smaller sample size, support this previous finding. Extracellular recordings. Extracellular output from the cut vagus nerve was recorded with a bipolar suction electrode connected to an A-M Systems Model 1700 amplifier (bandpass filtered between 10 and 1000 Hz, 100 × gain). Activity of this nerve is primarily generated by the 4th branch of the vagus nerve (the same neurons we studied in slices), and provides the main drive to the glottal dilator, which gates airflow into and out of the lung in anuran amphibians 48  that varied the duration of cold acclimation and then assessed synaptic function immediately after removing the animal from the hibernation environment, (2) those that used either warm-acclimated control animals or 1 month hibernation animals and then exposed these brainstem preparations to TTX for 16 h ex vivo, and (3) those that used either warm-acclimated control animals or 1 month hibernation animals and exposed each to 10 µM nimodipine for 16 h ex vivo. For series 1 experiments control frogs (20 °C) or cold-acclimated (2 °C for 2 or 4 weeks) were used, and then synaptic function was assessed immediately after animals were removed from these environments to roughly determine the time course of synaptic compensation. In series two experiments our main goal was to compare synaptic function between neurons that had underwent inactivity with 100 nM TTX and hibernation. In addition, we assessed synaptic function in post-hibernation animals after silencing rhythmic motor output with 100 nM TTX. 100 nM TTX silenced all preparations for the entire 16 h period (data not shown). In series three experiments, we exposed warm-acclimated control and post-hibernation rhythmic preparations to 10 µM nimodipine for 16 h to block L-type Ca 2+ channels, a dose that blocks these channels in frog respiratory motoneurons 30 , and a separate time control group was run in parallel. Following these treatments, all mEPSC recordings were performed in standard aCSF with 500 nM TTX.
Data analysis. All data analysis was performed using the peak analysis module on LabChart 8 (ADInstruments, Sydney, Australia). sEPSC and mESPCs events were recorded for 30 s and averaged to estimate excitatory synaptic drive due to AMPAR transmission. Cutoff amplitude was set at 7 pA. All analyses were checked by eye to verify mEPSCs or sEPSCs were correctly identified and were not performed blinded to treatment. To infer synaptic scaling, we used the standard rank-order method as originally described by Turrigiano et al. 4 . Briefly, a series of 50 mESPCs were randomly chosen for each cell in the group and the entire distribution was ranked from lowest to highest for control and treatment conditions. To assess synaptic scaling, the same number of synaptic events must be present in the control and treatment group. However, in some cases in the present study, control and treatment conditions had different numbers of cells (typically differing 1-3 neurons). In these situations, cells from groups with the higher number were randomly removed for the scaling analysis by assigning a number to each cell and then using a random number generator chose which cell(s) would be removed. This allowed equal number of mESPCs to be ranked and scaled in each group. Ranked data were plotted and then fit by a linear regression to obtain the slope of the line and intercept for the entire population. ~ 5-10 individual mEPSC events in each group showed extreme values that deviated from the linear fit. These events may be caused by activation of subsaturated AMPA receptors, as suggested previously 42 , and were therefore removed for the fitting of the ranked data. Each mESPC event in the treatment distribution was then mathematically downscaled according to the the linear equation and plotted as a cumulative distribution. We also plotted ranked data as "treatment/control vs. control" across the mEPSC distribution for each experimental group 34 . Input and series resistances were calculated using Ohm's law by making a 10 mV step, from − 80 to − 70 mV and measuring the resulting transient and steady-state currents, respectively. Series resistance did not vary across groups, and cells with series resistance of > 25MΩ were discarded.
Statistics. Data were analyzed and plotted using GraphPad Prism. Data sets that followed a normal distribution were analyzed using parametric statistical tests. Comparisons between two groups were made using a twotailed unpaired t-test, more than two groups were compared using a one-way ANOVA followed by Holm-Sidak's multiple comparisons test. When standard deviations were different between groups, a Welch's test was applied. Some data sets involving three or more comparisons did not follow a normal distribution. In these cases, the Kruskal-Wallis test was used. When comparing two cumulative distributions, the Kolmogorov Smirnov test was run. Brainstem schematics were edited and created with Biorender.com. Significance was accepted at p < 0.05.

Data availability
All datasets generated and/or analyzed during the current study are available from the corresponding author upon reasonable request.