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Innovative particle standards and long-lived imaging for 2D and 3D dSTORM

Direct stochastic optical reconstruction microscopy (dSTORM), developed in the last decade, has revolutionised optical microscopy by enabling scientists to visualise objects beyond the resolution provided by conventional microscopy (200 nm). We developed an innovative method based on blinking particle standards and conditions for long-lived imaging over several weeks. Stable localisation precisions within the 10 nm-range were achieved for single virions and in cellulo 2D imaging of centrosomes, as well as their reliable reconstruction in 3D dSTORM.

Furthermore, in the context of 3D imaging, deciphering the third axial dimension of a cellular structure is often based on the acquisition of multiple images at different focal planes (z-stacking). For dSTORM, this approach would be highly time-consuming. Dedicated methods have thus been developed to obtain z-localisation from 2D acquisitions 10 : PSF engineering (astigmatism, phase-mask), evanescent wave (supercritical angle fluorescence, SAF 11 ), multiplane, and interferometry. However, the quality and reliability of the final 3D image reconstruction is difficult to assess owing to the lack of commercially available fluorescent blinking calibration tools. Ideally, the latter should be well-controlled micrometric objects, easy to label with blinking fluorophores at their periphery, thereby in contact with the buffer.
Here we present: (i) a simple strategy to maintain an efficient blinking phenomenon up to several weeks (by replacing the enzymatic deoxygenation of the buffer with a physical deoxygenation), and (ii) the design of blinking particle standards to evaluate both this novel buffer independently of biological variability and the quality of 3D image reconstruction.  Table 1 summarizes the conditions used to acquire and visualise images in this figure.
Long-lived 2D dSTORM imaging of biological specimens using the Eternity buffer. To validate our buffer for biological applications, we next fluorescently-labelled several biological specimens with AF647-coupled probes prior to 2D dSTORM imaging in Eternity buffer. The first biological model used was non-infectious enveloped viral particles (i.e. pseudoparticles) of the hepatitis C virus (HCVpp) (Fig. 2a-d). Their small size, 100 nm-diameter, is below the limit of resolution of conventional microscopes, arguing in favour of their detection by 2D dSTORM. Furthermore, we have recently shown that the HCVpp lipid envelope could be efficiently labelled with a lipid-polymer probe 17 ; these viral particles therefore constituted a highly relevant model to test our buffer. HCVpp labelling with lipid-polymer-AF647 probe appeared stable, and provided a strong fluorescent signal with a very high contrast. TEM imaging confirmed that labelled and unlabelled viral particles had similar morphologies, displaying neither lysis nor aggregation ( Supplementary Fig. 4). Therefore, the image shown in Fig. 2b is the first 20 nm-scale observation of HCV under environmental conditions, and enabled us to visualise individual virions, while only clusters are observable by conventional optical microscopy (Fig. 2a). This dSTORM technique combined with our long-lived imaging Eternity buffer will in the future provide visual data over several days. Our observations thus pave the way for dSTORM imaging of HCV virions and other enveloped viruses, in particular inside their host cells.
Having demonstrated both the efficacy of our Eternity buffer for long-lived 2D dSTORM imaging and validated the technique using viral particles, we were keen to test our methodology on centrosomes ( Fig. 2e-h), a structure previously studied by other groups using different super-resolution approaches [18][19][20][21][22] . The centrosome is a key organelle part of the microtubule organizing centre (MTOC), with a nine-fold symmetry as revealed by TEM 23 . This symmetry is highlighted by 9 sub-distal appendages (Fig. 2h), where the Cep164 protein is localized. Here, Cep164 was initially detected in U2OS cells following primary and AF647-coupled secondary antibodies to label the mature centrosome 24 . By widefield microscopy, this labelling appears at the best as a single donut structure (inset Fig. 2e), while 2D dSTORM imaging enabled the visualisation (though not distinctly) of centrosome appendages in the Eternity buffer ( Fig. 2f-g). These structures can be compared to the reference TEM image 23 of an in vitro isolated centrosome, displayed at the same scale (Fig. 2h).
Optimisation of the blinking conditions was achieved by changing the thiol reducer 25 in Eternity buffer ( Supplementary Fig. 5). Switching from mercaptoethylamine (MEA) to β-mercaptoethanol (BME) reducer provided a significantly higher photon collection, resulting in a better localisation precision ( Supplementary  Fig. 5d,e). However, blinking is highly reduced after 22 days when Eternity buffer with BME is used. Therefore, further studies were carried on with Eternity buffer containing MEA.
By combining the finely tuned IGOR-based analytical approach and our Eternity buffer, centrosome appendages were visualised for up to 17 days on 3 independent biological samples, by 2D dSTORM reconstruction of 50,000 images ( Fig. 2i-l). Data compilation of 10 centrosome structures revealed, starting at D 2 , a stable number Figure 2. Evaluation of the Eternity buffer for 2D dSTORM imaging of various biological specimens labelled with AF647. (a-c) Widefield fluorescence (a) and dSTORM images of hepatitis C virus pseudoparticles (HCVpp) labelled with the lipid-polymer-AF647 probe. dSTORM images represent the merging of 15,000 images combining the centroid (purple) and gaussian width (white) of each point detected (b), and the colour (5 to 90 nm; inverted rainbow colour scale) and size (from a ratio of 1 to 2) coding of each point (c). (d) TEM image of a lipid-polymer-AF647-labelled HCVpp particle, negatively stained with phosphotungstic acid. (e-g) Fluorescence microscopy image of U2OS cells with DAPI-labelled nucleus (e, blue) and Cep164 protein immuno-detected with AF647-labelled secondary antibodies, to image mature centrosomes (purple) at the periphery of the nucleus. The shape of the cell is delineated by a white dotted line using the corresponding bright field image. Inset shows an enlarged view of the centrosome region illustrating the epifluorescence resolution obtained for this donut-like structure. dSTORM image of the mature centrosome (f) in which each point is represented by its centroid (purple points) and its gaussian width (white). IGOR representation of 2D dSTORM images (g) in which each point is colour-coded (5 to 40 nm; inverted rainbow colour scale) as a function of its localisation precision. (h) TEM image of another centrosome, previously imaged by Paintrand et al. 23 at the plane of subdistal appendages, illustrating the well-known nine-fold symmetry of this structure. (i-l) Reconstruction by dSTORM of a centrosome with Cep164/AF647 staining at days 1 (i), 2 (j), 9 (k) and 17 (l), in which each point is colour-coded (5 to 40 nm; inverted rainbow colour scale) as a function of its localisation precision (m-o). The number of blinking events per centrosome (m), average number of photons per event (n) and median of localisation precision (o) are presented as a function of time for 50,000 images of Cep164 detected with AF647 on the same slide (blue diamonds, technical replicates) and on different slides (orange triangles, independent biological replicates). For each time point, standard deviations depict variations between 2 technical replicates on the same reference slide (day 1), 2 technical replicates on a biological replicate (day 2), 3 technical replicates on the same reference slide (day 9), 1 series on a second biological replicate (day 11), 3 technical replicates on the same reference slide (day 17). These conditions are depicted in Supplementary Figure 10. Table 2  www.nature.com/scientificreports www.nature.com/scientificreports/ of blinking events (Fig. 2m) with a constant number of photons over time (Fig. 2n), and a steady localisation precision below 10 nm (Fig. 2o). This demonstrates the long-lasting efficiency of the Eternity buffer for observing biological samples by dSTORM.
Applying 2D dSTORM imaging to multicoloured biological specimen detection. A critical application of fluorescence imaging in biology is the possibility of staining various specimens/objects with different fluorophores to study their interaction/localisation.
We therefore challenged the robustness of our Eternity buffer by evaluating other red and far-red fluorophores ( Supplementary Fig. 6). Although its performance was equivalent to that of a classical buffer for imaging AF647 at D 0 , we clearly observed that the Eternity buffer provided a higher photon collection ( Supplementary Fig. 6a), as well as a better precision in xy and z ( Supplementary Fig. 6b,c) for DL550 and DL650. We then applied two different primary/secondary antibody stains to RPE1 cells, in order to highlight the distal part of the mature centriole with Cep164 (combined to DL550) and the proximal part with the pericentrin (combined to AF647, Supplementary Fig. 7). To comply with our previous observations of long-lived imaging with the Eternity buffer, Supplementary Fig. 7 illustrates the double colour dSTORM reconstruction of the centrosome obtained at D 40 . ,e,f) from density of points using the gaussian width (intensity varies from blue to white as a function of the density of points). 2D/3D dSTORM reconstructions with the non-optimised PSF (a-d), compared to the reference PSF (e-h). The xy views in (a) and (e) were generated at the height indicated by the solid line drawn respectively in xz views in (b) and (f). (i-p) 3D dSTORM reconstructions using surface rendering mode (k,l,o,p) of centrosomes visualised in 2D dSTORM (i,j,m,n) from the density of points using the gaussian width (intensity varies from blue to white as a function of the density of points). 2D/3D dSTORM reconstructions with the nonoptimised PSF (i-l), compared to the reference PSF (m-p). The xz views in (j) and (n) were generated at the height indicated by the dotted line drawn respectively in (i) and (m). The dotted squares indicate the same area and are enlarged for a better observation. LipoParticles are labelled with the lipid-polymer-AF647 probe, and centrosomes in U2OS cells with primary antibodies directed against Cep164, followed by secondary antibodies labelled with AF647. The dataset is representative of the results obtained in 3 independent datasets obtained of LipoParticles. Table 3  www.nature.com/scientificreports www.nature.com/scientificreports/ This demonstrated that the Eternity buffer could be applied to long-lived multicoloured dSTORM imaging and is highly promising for biological applications requiring different fluorophores.
3D dSTORM imaging using the Eternity buffer and fluorescent standard LipoParticles. Finally, labelled LipoParticles were used to validate 3D dSTORM reconstructions of biological structures. The generation of 3D reconstructions from 2D dSTORM data sets was achieved using phase ramp imaging localisation microscopy (PRILM 26 ). PRILM requires the use of a reference PSF, determined experimentally with TetraSpeck beads (see Methods for details and Supplementary Fig. 8a-c). However, this procedure may generate artefacts, leading to structural inconsistencies in the 3D reconstruction. To illustrate this, we generated a "non-optimised" PSF, with TetraSpeck beads loosely attached to the surface ( Supplementary Fig. 8b).
The LipoParticles 3D image reconstructions obtained from both PSFs were then compared ( Fig. 3a-h, Supplementary Fig. 8d-f). For LipoParticles, the "non-optimised" PSF systematically led to truncated reconstructions ( Fig. 3a-d  An identical approach was then used to reconstruct the centrosome ( Fig. 3i-p). Several structural details appeared different in 3D views (dotted boxes on Fig. 3k,l,o,p), yet choosing between the structures generated by each PSF seemed arbitrary ( Fig. 3i-p, Movies 3-6). Since 3D reconstructions of LipoParticles, used as validation standards, appeared complete only when using the reference PSF, we speculated that this PSF could also be optimal for the centrosome. This enabled to discriminate between both centrosome 3D structures. The two grooves observed in the centrosome reconstructions ( Fig. 3k,l,o,p) correspond to areas less dense in Cep164 labelling ( Fig. 3o and inset). This could correspond to an area with a higher angle between subdistal appendages as described by Shi et al. 19 and/or to the presence of a component with an asymmetric position. In conclusion, the combination of our buffer and fluorescent blinking LipoParticles in 2D dSTORM experiments paved the way for reliable 3D image reconstructions with a good level of reliability.

Discussion
Overall, our study unveiled a physically-deoxygenated Eternity buffer enabling long-lived dSTORM imaging, validated by our blinking particle standards. This buffer provides scientists with a longer period of time for image acquisition and, therefore, more reliable computer-assisted image/statistical analyses than classical enzyme-based buffers that need to be replaced every 2-3 h. Indeed, we were able to carry out dSTORM acquisition on the same sample in Eternity buffer for up to 58 days, without any loss of image quality (stable localisation precision of 20 nm). This remarkable property of our buffer is an invaluable asset especially for long-term acquisition experiments, such as high-throughput studies with multiple conditions 9 or multiple acquisitions of the same condition 27 .
Our Eternity buffer exhibits a greater capacity to remain at a constant pH (8.0) throughout the experiments, and permits an efficient blinking phenomenon at a low pH of 5, as opposed to the classical enzyme-based buffers 8 . We believe that this capacity is due to the innovative physical deoxygenation of our buffer, which does not rely on enzyme availability and does not result in an acidification of the environment. To sum up, our long-lived results obtained on various calibration and biological samples mounted with the Eternity Buffer and sealed with twinsil, ascertain that our experimental set-up is well suited to maintain a reduced oxygen level, in contrast to other reports exhibiting a fast re-oxygenation using an enzymatic buffer 28 . This is attributed to both our mounting set-up that limits the contact surface with air ( Supplementary Fig. 8d) and to the fact that enzymatic buffers eliminate oxygen, rather than replacing it, thereby inducing a reduced pressure inside the sealed cavity that favors air leak and thus fast re-oxygenation. Moreover, Eternity buffer is also compatible with evanescent/TIRF microscopy and the use of a focus-maintaining system, since its refractive index is close to that of water, contrary to other buffers with higher indices 1 ; this property enables an improved image quality.
Image rendering of super-resolution images remains a challenge in the single molecule localisation microscopy field. The goal of the module we developed using the IGOR software, a software enabling scientific graphing and calculation, was to implement another dimension for 2D dSTORM data, reflecting the localization precision of each detected event. The size (and/or colour) of each point is then proportional to the value of the localization precision for each x,y and z dimension (see method section). Optimising the number of acquired images for each data set is also a matter of intense research since a compromise must be found between a sufficient fluorophore density and an acceptable acquisition time/storage space ( Supplementary Fig. 9).
We then demonstrated the versatility of this buffer for dSTORM imaging of distinct biological specimens, namely hepatitis C virus pseudoparticles (HCVpp) of about 100 nm-diameter, and mature centrosomes in cellulo. For the former model, the image shown in Fig. 2b is the first 20 nm-scale observation of HCV under environmental conditions (i.e. normal atmospheric pressure and aqueous buffer).
The relevance of our Eternity buffer was further confirmed by successively performing long-lived 2D dSTORM imaging of mature centrosomes within U2OS cells for up to 17 days on the same sample, and RPE1-derived centrosomes for up to 40 days using two different antibody/fluorophore combinations. Visualising both the distal and the proximal part of the centrosome with known markers (Supplementary Fig. 7) will constitute a valuable asset to collect higher number of structures during the long-lived dSTORM imaging in the Eternity buffer, and to analyse the biological variability of the centrosome architecture.
Our second innovation is the design of blinking particle standards to validate the quality of both 2D and 3D dSTORM image reconstructions. We elaborated original micrometric labelled LipoParticles, the fluorophores located at their periphery being in contact with the buffer. As such, the labelled LipoParticles were crucial for discriminating between truncated and optimal 3D image reconstructions of centrosomes. These well-controlled particle standards are especially relevant for 3D dSTORM since they exhibit a spherical shape and are detectable (2019) 9:17967 | https://doi.org/10.1038/s41598-019-53528-0 www.nature.com/scientificreports www.nature.com/scientificreports/ independently of transient binding of fluorescent molecules 29 . These spherical blinking LipoParticles constitute key nano-objects for 2D and 3D dSTORM validation, playing the role of rulers, essential for metrology aspect in the validation of dSTORM workflows.
Finally, the simplicity of use of the innovative strategies presented herein, independently and in combination, alongside the improved localisation precision obtained for 2D and 3D dSTORM imaging, render these strategies highly promising and pose them as essential tools for future microscopy localisation studies in biology.
Synthesis of the fluorescent polymer probe (lipid-polymer-AF647). 11.6 mg of lipid-P(NAM-co-NAS) copolymer (0.57 × 10 −3 mmoles of chains corresponding to 30.2 × 10 −3 mmol of NAS units) were dissolved in 0.25 mL of dimethylformamide (DMF). Then, 3 mg (3 × 10 −3 mmol) of AF647 fluorophore in DMF were added with 1 molar equivalent of triethylamine (TEA). Polymer concentration was adjusted to 7 mg/mL with DMF and the binding reaction was carried out at 40 °C in the dark under stirring. The kinetics of fluorophore binding was followed by size exclusion chromatography (SEC) (see description below) and reached a plateau with a maximum yield of 60% after 4 days, corresponding to an average number of 3.05 fluorophores per polymer chain. The residual activated ester units along the chain were hydrolysed at room temperature by adding 10 mL of borate buffer (50 mM, pH 9.0) for 2 days, leading to a negatively charged polymer backbone (carboxylate groups).
The fluorescent polymer probe was purified by dialysis (Spectrum Labs, Spectra/Por ® 7, MWCO: 10,000 g/ mol) against a 0.5 M NaCl solution (2 baths), enabling the rapid release of the free AF647 fluorophore, then against deionized water (4 baths) and milliQ water (two baths). The cyan-blue-coloured lipid-polymer-AF647 probe was dried by lyophilisation.

Characterisation of the polymer probe. SEC with online UV-visible and refractive index (RI) detectors.
SEC was used to monitor the binding yield of the fluorophore onto the copolymer according to a previously described method 32 , with a Waters 1515 isocratic HPLC pump (flow rate: 1 mL /min) and a Styragel HR4E Waters column at 30 °C. The eluent was DMF with LiBr (0.05 mol/l). Detection was provided by a Waters 2410 RI and a Waters 2489 UV-visible detector set at 650 nm (AF647 maximum absorption wavelength in water is 649 nm). Analyses were performed by injecting 10 µL of the reaction medium (diluted to 5 mg/mL with DMF). Data acquisition and treatment were carried out using the Breeze software (Waters).
UV-visible absorption and fluorescence emission spectra. UV-visible absorption spectrum of the lipid-polymer-AF647 probe was recorded on a Shimadzu UV-2600 spectrophotometer at room temperature using 1 cm quartz cell (integration time 0.1 sec). The fluorescence emission spectrum was recorded on a Horiba-Jobin Yvon Fluorolog-3 ® spectrofluorimeter at 298 K, using 1 cm quartz cell. The steady-state luminescence of diluted solutions was excited by unpolarised light from a 450 W xenon CW lamp and detected at a right angle (90°) by a red-sensitive Hamamatsu R928 photomultiplier tube (slits: excitation: 3 nm, emission: 1 nm; integration time: 0.1 sec). Spectrum was reference-corrected for both the excitation light intensity variation (lamp and grating) and the emission spectral response (detector and grating). For determination of the fluorescence quantum yield, reference was AF647 fluorophore. Excitation of reference and sample was performed at the same wavelength (590 nm).
Absorption and fluorescence emission spectra of the lipid-polymer-AF647 probe in water were very similar to those of the free fluorophore ( Supplementary Fig. 1), with an emission band in the far-red region (650-750 nm). The molar extinction coefficient (ε) and the fluorescence quantum yield (Φ) were determined from the absorption and emission spectra, respectively. For the polymer probe, ε was more than twice that of the free fluorophore, and Φ was 55% of that of the free fluorophore. Brightness was determined from the product of ε and Φ.

Synthesis of fluorescent blinking LipoParticles.
LipoParticles were prepared by adding a preformed liposome dispersion to polystyrene particles (1 µm diameter, ammonium surface groups, Polysciences) following a previously described procedure 33 . The mixture was vortexed for 1 h at 70 °C and 1,300 rpm. Thereafter, in order to separate the LipoParticles from non-adsorbed lipids, the suspension was centrifuged at 9,000 × g for 10 min at 21 °C. The pellet containing LipoParticles was dispersed in pure water.
Preformed liposomes were prepared via a "hydration of a thin lipid film" process, the so-called Bangham method. Homogenisation of size was performed by sonication 33 or extrusion treatments 34 . The lipid molar formulation used was either 89.9/10/0.1 ( Supplementary Fig. 2), 89/10/1 ( Supplementary Fig. 9 www.nature.com/scientificreports www.nature.com/scientificreports/ adhesion of the charged LipoParticles onto the coverslip. The images were acquired with the LASAF software (Leica) to manage the microscope and the Wasabi software (Hamamatsu) to pilot the EMCCD camera. Images were processed using the ImageJ freeware.

Production of HCV pseudoparticles (HCVpp) and labelling with the fluorescent polymer probe.
In order to bypass limitations due to the use of infectious viruses, we used a surrogate model of HCV virions, i.e. pseudotyped particles (HCVpp). They are easy to produce in cell cultures, at high rates and with optimal reproducibility between batches 35 . HCVpp are assembled onto a retroviral core, harbour the viral glycoproteins E1-E2 at their surface (embedded in the lipid envelope), and are most suitable to track viral entry events 36,37 .
HCVpp of genotype 1a (H77; AF011752) were produced as previously described [35][36][37][38] , from 293 T cells co-transfected using the calcium phosphate method with a murine leukaemia virus (MLV) Gag-Pol packaging construct, an MLV-based transfer vector encoding GFP as a reporter protein, and the E1-E2 expression constructs. Supernatants containing pseudoparticles were collected 48 h post-transfection and filtered on 0.45 μm. Pseudoparticles were concentrated 100-fold by ultracentrifugation through a 20% sucrose cushion at 75,000 × g for 2 h at 4 °C. Pellets were then resuspended in culture medium without foetal calf serum.
Concentrated HCVpp (200 μl, infectious titres ranging from 7 × 10 5 to 2 × 10 6 transducing units /mL, from one preparation to the other 35 ) were incubated with 1 μM polymer probe (final) at 4 °C for 30 min, as described 17,39 . Viral particles were then placed onto a 20% sucrose cushion, topped with 1 mL phosphate-buffered saline (PBS) and ultracentrifuged at 135,000 × g for 1 h 30 min at 4 °C in a TLA-100.4 Beckman rotor. Pelleted labelled virions were then collected immediately after centrifugation, resuspended in PBS and stored at 4 °C in the dark. Handling of the lipid-polymer probe for HCVpp labelling was greatly facilitated due to its water solubility.

Observation of the labelled HCVpp by widefield fluorescence microscopy and TEM. Purified
and labelled HCVpp were observed by: 1) fluorescence microscopy, and 2) TEM, to validate their integrity and morphology at the nanometric scale following their labelling with the fluorescent polymer probe.
Widefield microscopy. Widefield microscopy was carried out as described for the LipoParticles (see section "Observation of the fluorescent LipoParticles by brightfield and fluorescence microscopy"). Ten microliters of sample were placed onto a glass coverslip (thickness 170 µm).
Transmission electron microscopy. Observation by TEM after negative staining with phosphotungstic acid (2% w/v, adjusted to pH 7.0 just before use) was performed on a JEOL JEM 1400 microscope operated at 80 kV and equipped with a high port digital camera Gatan Orius 600 (CIQLE facility, SFR Lyon Est). Carbon-coated copper grids were purchased from Ted Pella Inc. Prior to their use, grids were submitted to glow discharging, followed by immediate sample deposition. Labelled HCVpp retained their integrity, and displayed a similar morphology as that of unlabelled HCVpp, with neither particle aggregation nor lysis (Supplementary Fig. 4).
Preparation of dSTORM buffers. Classical dSTORM buffer. The classical buffer was prepared to reach a final concentration of 100 mM MEA hydrochloride (stock of MEA/HCl, 1 M, Sigma-Aldrich) in a solution of 50 mM Tris, 10 mM NaCl, 5% glucose (stock at 25% w/v, Sigma-Aldrich), 0.56 mg/mL Glucose oxidase (stock at 22 mg/mL, Sigma-Aldrich), 0.04 mg/mL catalase (stock at 5 mg/mL, Sigma-Aldrich) and was adjusted to pH 8.0. Buffers were spun down for 3 min at 16,000 X g and the supernatant alone was used to mount the coverslips.
The eternity buffer. It was prepared with 100 mM MEA hydrochloride (from 1 M stock of MEA/HCl in deionized water, Sigma-Aldrich) or 100 mM BME (from a 14.3 M stock, Sigma-Aldrich) in the same buffer solution as that described for classical dSTORM (50 mM Tris, 10 mM NaCl) and was adjusted to pH 8.0 (or pH 5.0 for experiments displayed in the Supplementary Fig. 3). A concentration of 10 mM of MEA hydrochloride was instead used for Fig. 1f,g, also seen in Supplementary Fig. 9b. Oxygen was removed by smooth bubbling of N 2 for 20 minutes per volume of 1 mL. The buffer was immediately used to mount the coverslips.
TetraSpeck beads incubation. Ten microliters of TetraSpeck beads (100 nm, ThermoFisher Scientific) diluted 200 times in distilled water, were vortexed, and deposited on a thin sheet of parafilm. The polylysine-coated face of the coverslip was then gently squeezed against the parafilm for 5 min at room temperature, and rinsed twice. This step proved to be crucial for automated drift correction during image analysis on the Zeiss Software, determined from the mean of 30 consecutive images (Image self alignment) and based on an auto-correlation method ("model-based"), irrespective of the sample observed. Sample deposition. Viral particle suspensions (20 µL of the concentrated solution, see above) were deposited on a thin sheet of parafilm, and the polylysine/TetraSpeck coated coverslips were gently squeezed against the parafilm for 5 min at room temperature and rinsed twice. A depression slide was filled with 200 µL of pre-centrifuged Eternity buffer. The coverslip was gently placed face down above the cup-like depression to avoid bubbles. Excess buffer was delicately discarded and the coverslip was then sealed with twinsil. dSTORM acquisition was started within a couple of hours.
Mounting centrosome slides for dSTORM imaging. After immunofluorescence labelling, samples were rinsed once with PBS and once with water. Similarly to HCVpp samples, samples were incubated with TetraSpeck beads before mounting with Eternity buffer containing MEA or BME (see section "Tetraspeck beads incubation"). Microscopic observation and image acquisition were started within a couple of hours (Day 0). Coverslips were then stored in the dark at 4 °C until further observation.

3D localisation with TetraSpeck using PRILM.
Binding of the beads is necessary to avoid Brownian fluctuation. A 100 nm bead can fluctuate due to the looseness of the link between the bead and the surface and even small fluctuation (at the nm scale) can worsened the quality of the PSF recontruction. We used polylysine coating to bind the beads to the surface. However this process leads to different strengths in the bead attachment from loose to tight attached beads. In the optimal experiments, the loose attached beads were removed by the hydrodynamic wash of the petri dish with distilled water. We took advantage of the existence of the loose binding to generate a non-optimal PSF where the loose attached beads were not removed. The PSF generated, that mixed the PSF of the tight and loose attached beads was thus non optimal.
Preparation of microdishes with TetraSpeck. Microdishes with a high glass bottom (Ibidi dishes ref 81158, with a 170 µm ± 5 µm glass coverslip) were coated with polylysine (see HCVpp section "Polylysine coating"). Two different dishes processed as follows were used to generate a 3D localisation file.
Reference point spread function (PSF): tight binding. Ten microlitres of a suspension of TetraSpeck beads were added to the dried dish and dispersed using an 18 mm coverslip. After a 5 min incubation, the coverslip was removed and 3 washes with dH 2 O were performed. Mounting was performed with 400 µL Eternity buffer and a 30 mm round coverslip gently placed to avoid bubbles and sealed with twinsil.
Non-optimised PSF: loose binding. Ten microlitres of a suspension of TetraSpeck beads were added to the dried dish. Mounting was performed immediately with 400 µL of Eternity buffer and a 30 mm round coverslip, sealed with twinsil.
Acquisition of experimental PSF with 3D slider. A field of view containing at least 20 well dissociated fluorescent beads was selected ( Supplementary Fig. 8a). After positioning the 3D slider in the optical path designed for PRILM 26 , the beads no longer appeared as single dots, but as double dots (Supplementary Fig. 8b). The focal plane was then adjusted to obtain a 45° angle between the horizontal line and the line going through both doublets. This step should be performed on a temperature-stabilised microscope (switched on 2 h in advance and equipped with a closed microscope chamber) to avoid drift during acquisition. A z-stack with piezo stage was acquired using the centre mode set on the 45° angle, with a 10 nm z-step and 401 sections with 45% of the 642 nm laser.
Generation of 3D localisation file. This operation was conducted according to manufacturer's instructions for both conditions (tight binding and loose binding). The resulting mean PSFs were visualised in 3D ( Supplementary  Fig. 8b) and used to calculate two localisation precision files (Supplementary Fig. 8c). dSTORM acquisition. dSTORM acquisition was performed on an ELYRA PS1 microscope using the Zen software (Zeiss). Samples were observed with the 63x oil-immersion Plan APOCHROMAT objective lens (Zeiss, NA = 1.4) using a 1.6x lens. A full-size image in brightfield and fluorescence was acquired with an EMCCD camera (Andor iXon DU897, pixel size: 16 µm, 512 × 512). The focal plane was defined in fluorescence mode so that the donut-like shape of the LipoParticle was visible (insets to Supplementary Fig. 2), in order to start acquisition as close as possible to the equatorial plane of the LipoParticle. A pumping step was achieved for less than 30 s, in HILO illumination mode (52°) with ultra-high power using 70% of the 642 nm laser (150 mW nominal power), with the corresponding LP 655 + LP750 filter position. Acquisition of 20,000 images, using a ROI centered around the structure was achieved with a 20% laser power with the following camera parameters: 280 for EM-gain (max value at 300) and 30 Hz rate. Z stabilisation was achieved with the Definite Focus system (Zeiss) activated once every 300 images. Three series were performed for each time point (D 0 and D 6 for Fig. 1b, and D 0 , D 7 , D 14 , D 36 and D 58 for Fig. 1c) on the same dish, mounted either with classical or Eternity buffers and stored in the dark at 4 °C between acquisitions (Table 1).
For HCVpp samples (Fig. 2b-c), dSTORM acquisition was carried out under similar conditions as LipoParticles, with 10,000 images recorded per series (Table 2).
For centrosome samples, dSTORM acquisition was carried out as for LipoParticles, with 50,000 images per series using an ROI centered around the structure ( Table 2, Supplementary Table 1). For the reconstruction shown in Fig. 2f-g, 100,000 images were recorded to assay for the optimal number of images necessary in 2D ( Supplementary Fig. 9b).
For 3D dSTORM, acquisition was carried out with the 3D slider in place ( Supplementary Fig. 8), and 100,000 images were recorded per series for both LipoParticles (Fig. 3a-h and Supplementary Fig. 9a) and centrosome in epifluorescence mode (Fig. 3i-p and Table 3).
For dual coloured dSTORM ( Supplementary Fig. 7), acquisition of 50,000 images was first performed for far red fluorophores (AF647 or DL650), followed by 50,000 images for the red DL550 channel, using the 561 nm laser (200 mW nominal power), with the corresponding individual filter BP 570-650 + LP750 (Table 3, Supplementary  Table 1).
2D dSTORM data analysis and visualisation. Data analysis was carried out with the Zen software (Zeiss) as follows: (i) gaussian fitting: peak mask size = 7 pix and peak intensity to noise = 8.5 (ignore overlap mode). Image sampling was set to ½ the measured localisation precision (i.e. 5 or 10 nm) in a given size ROI surrounding the structure. PSF filter was set between 120 to 280 nm to restrain depth of focus; (ii) drift correction: using the "model-based" set up at a maximum of 30 segments, based on an auto-correlation method; (iii) connexion: grouping of events using 5 frames for the maximum "ON" time, 1,000 frames for off gap and 1 pixel for capture radius. For multi-colour dSTORM, image registration was performed on the Zeiss software, after reconstruction, using the Tetraspeck beads as references.
The list of parameters provided the number of events per series, as well as the number of photons per event, and the median value was calculated for localisation precision of the series and shown with standard deviations on graphs. Visualisation was obtained by representing each event either by a single tiny dot at its gravity centre (centroid representation mode) or by a gaussian distribution with a fixed width (Fig. 2b,f). Moreover, IGOR representation allows to visualise the localisation precision of each point using a colour-coded rainbow scale (Fig. 2c,g). Their size is also proportional to the value of their localisation precision. For clarity, this ratio is adjusted on each figure from 1/1 to 1/10 between the smallest and the biggest point.   Table 2. Conditions used to acquire and visualise images in Fig. 2. *pH of the buffer was set to 8.
www.nature.com/scientificreports www.nature.com/scientificreports/ 3D dSTORM data analysis and visualisation. 3D analysis was carried out following the same steps as those for 2D analysis, with an additional step after the first one, to integrate the third dimension by selecting the localisation file previously generated ( Supplementary Fig. 8c and section "Generation of 3D localisation file"). 3D reconstructions (Fig. 3c,d,g,h,k,l,o,p), were represented using the default surface rendering mode without Look Up Table ( dSTORM reconstruction encoded with IGOR. To overcome the issue of a representation with homogeneous dots, a routine was written using IGOR pro software (Wavematrics Inc). This software, based on matrix calculation, allows scientific graphing, data analysis, image processing and programming. A specific routine was developed for 2D representations (Supplementary File 1), in which localisation precision was encoded according to a colour and size code, to appreciate not only the position of an event but also its localisation precision. The colour code was represented with the inverted rainbow LUT. The absolute marker size was adapted according to the observed structure, and size variations between dots were indicated in the colour-coded scale. The Gizmo mode was used to provide a dotted 3D representation (Supplementary File 2), not available in the Zen software (surface or transparent modes only), in which the size of each dot is proportional to its x, y and z localisation precision ( Supplementary Fig. 9a, right column).   Table 3. Conditions used to acquire and visualise images in Fig. 3. *pH of the buffer was set to 8 and observed at D 0 .