ABSTRACT
Dysregulation of Tau in Alzheimer’s disease affects multiple cellular compartments and functions1,2. Tau interacts directly with and translocates through the plasma membrane3–7, a potential site of Tau fibril and membrane pore formation8–10, but its physiological state and behavior in this compartment are unknown11. Using quantitative single-molecule imaging in live cells, we observed that Tau exhibits both confined and free diffusion near the plasma membrane. Preventing Tau/microtubule interactions either pharmacologically or biochemically increased Tau mobility; however, the heterogeneous mobility pattern persisted. Tau formed transient hot spots of ~70 nm in radius, displaying stationary and mobile phases. Compared to the ~40 ms dwell time of Tau on microtubules12, the hot spots were long-lasting (tens of seconds), and resistant to microtubule perturbations and cholesterol depletion. We suggest that the mobile pool acts as a reservoir supplying Tau to functional sites, with the hot spots serving as assembly sites for Tau’s physiological and pathological functions.
MAIN
Tau is conventionally thought of as a protein that regulates microtubule stability. However, as an intrinsically disordered protein, Tau has remarkable structural flexibility, allowing it to interact with numerous partners and to execute multiple cellular functions2,13. Interest in the behavior of Tau at the plasma membrane was spurred firstly by the realization that, in a dementia context, toxic Tau aggregates have been reported to cross the plasma membrane and be released into the extracellular milieu, contributing to the spread of Tau pathology across interconnected brain regions1,14, and, secondly, because Tau, which lacks a classical signal peptide, undergoes unconventional secretion with an ill-defined physiological role6,7. The association of Tau with the plasma membrane can occur directly through electrostatic interactions with anionic lipids15,16 and indirectly through interactions with membrane-associated proteins, such as Fyn5, dynactin17, and annexin A218. Moreover, Tau interacts with microtubules and actin filaments, anchoring them to the plasma membrane10. Despite the critical importance of Tau-membrane interactions, quantifying how Tau behaves and organizes at the plasma membrane in a native cellular environment has previously proven challenging, thereby limiting our understanding of how this protein executes its function in this compartment11. Here, using single-molecule-based super-resolution microscopy, we set out to study the dynamics and nanoscale organization of Tau near the plasma membrane of live cells.
To visualize and track individual Tau molecules near the inner leaflet of the plasma membrane, we transiently expressed the most prevalent human 0N4R isoform of Tau (383 amino acids) fused carboxy-terminally to photoactivatable fluorescent protein mEos3.2 (hereafter abbreviated to TauWT-mEos3.2) in murine N2a neuroblastoma cells (Fig. 1a and Supplementary Fig. 1). We used total internal reflection fluorescence (TIRF) illumination (Fig. 1b) to perform singleparticle tracking photoactivated localization microscopy19 (sptPALM) at 50 Hz for a duration of 160 s. This allowed visualization of the substrate-attached cell surface comprising of the plasma membrane and its subjacent cytoskeleton with ~100 nm axial resolution (Fig. 1c). This imaging paradigm has provided critical insights into the interactions of intracellular signaling molecules, such as Rac120 and KRas21, as well as scaffolding proteins, including caveolins22, with the plasma membrane. Capitalizing on this approach, we first captured a diffraction-limited TIRF image of TauWT-mEos3.2 before photoconversion in the green (491 nm) emission channel (Fig. 1d). We then recorded a time series of detections of photoconverted TauWT-mEos3.2 molecules near the plasma membrane in the red (561 nm) emission channel, with a localization precision of ~47 ± 6.5 nm (mean ± s.d.) (Fig. 1e,f and Supplementary Fig. 2). This allowed us to construct 5,247 ± 2,373 and 835 ± 495 (mean ± s.d.) TauWT-mEos3.2 trajectories per cell that lasted at least 8 and 20 consecutive image frames, respectively (Fig. 1e and Supplementary Fig. 3). Given that free cytosolic molecules have a large diffusion coefficient of ~10-100 μm2/s23,24, they would not last ≥8 consecutive frames under TIRF illumination25. Thus, the detected trajectories likely represent Tau molecules trapped by plasma membrane components and the associated cytoskeleton. In line with this notion, only a few free cytosolic mEos3.2 trajectories were detected in the TIRF plane with our imaging conditions (Supplementary Fig. 3).
We next analyzed the mobility pattern of Tau by analyzing its trajectories. Typically, the interaction of a protein with itself or different plasma membrane-associated components manifests as different motion states, ranging from almost stationary to freely diffusive and directed movements26. We therefore investigated whether Tau is static or dynamic near the plasma membrane by comparing the mobility of Tau molecules in live and fixed cells. For that, we computed the average mean square displacement (MSD) and the frequency distribution of the instant diffusion coefficient of all trajectories from each analyzed cell (Fig. 1g-j). As expected, the slope of the average MSD curve increased, and the diffusion coefficient distribution was broader and shifted towards higher values in live cells compared to fixed cells, indicating the presence of mobile and immobile pools of Tau molecules near the plasma membrane in live cells (Fig. 1g-j and Supplementary Fig. 4). We next performed a more detailed quantification of Tau’s complex motion pattern using several complementary approaches (Fig. 1k-n). First, we performed moment scaling spectrum (MSS) analysis, a method widely used to characterize motion states of receptors and transmembrane proteins27, and estimated the slope of the MSS of TauWT-mEos3.2 trajectories. We found that near the plasma membrane, Tau existed in three motion states: immobile, confined, and freely diffusive (Fig. 1k). The confinement radii of the immobile and confined states were 66.4 ± 20.2 nm and 88.5 ± 38 nm (mean ± s.d.), respectively (Supplementary Fig. 5a-c). We then analyzed the trajectories using hidden Markov models (HMMs) that assume molecules are switching between discrete diffusive states to estimate the associated model parameters. This analysis revealed that TauWT-mEos3.2 molecules displayed at least three distinct diffusive states, with apparent diffusion coefficients of 0.04 ± 0.01 μm2/s, 0.1 ± 0.01 μm2/s and 0.29 ± 0.02 μm2/s (mean ± s.d.), ranging from immobile to confined to free diffusion (Methods, Fig. 1l, and Supplementary Fig. 5d-f). Finally, we fitted Brownian motion models to the cumulative frequency distribution of the frame-to-frame displacement of TauWT-mEos3.2 molecules and found that the three diffusive state model described the data well (Fig. 1m,n). Together, these results provide evidence that Tau exhibits complex diffusion patterns near the plasma membrane, possibly reflecting Tau’s interactions with each other or its partners in this compartment.
Single-molecule imaging studies have revealed that receptors and signaling molecules form hot spots (a subset of which is known as nanoclusters or nanodomains) at the plasma membrane11. We therefore examined whether the observed confined diffusion is due to the similar trapping of Tau in hot spots. Indeed, we found signatures of Tau hot spots with high localization density in the intensity maps that were not detectable in the diffraction-limited TIRF image (Fig. 2a,b). We quantitatively characterized these regions based on both spatial and temporal correlations between individual detections associated with the hot spots as follows. Tessellation-based spatial segmentation algorithms have been widely employed to quantify protein clusters from the sptPALM data28,29. Using this approach, we first generated a Voronoï diagram of all localizations, with polygons centered on each single-molecule localization in cells (Fig. 2c). We then identified the cell contour and the potential locations of Tau hot spots based on the normalized localization detection parameters (Methods, Fig. 2d). Next, to characterize their temporal dynamics, we performed time-correlated PALM (tcPALM) analysis, which has previously revealed transient clustering of RNA polymerase30,31 and membrane receptors22. Here, we computed the time series of molecular detections of individual hot spots and found that the detections were not uniformly distributed but were correlated and clustered in time, indicating the transient nature of these hot spots near the plasma membrane (Fig. 2e). This effect was more apparent in the cumulative detections of molecules, where we observed sudden changes in the slope of detection frequency, marking the duration during which we could detect the hot spots (Fig. 2e). We also found that the trajectories within the hot spots were highly confined within a radius of 71.8 ± 31 nm (mean ± s.d.) (Fig. 2f, Supplementary Fig. 5g). Furthermore, the mobility of TauWT-mEos3.2 molecules in these hot spots was significantly lower than their overall mobility (Fig. 2g-i). To better characterize this confinement, we computed the angles between two successive translocations from three consecutive points and the angular distribution of Tau molecules within the hot spots (Fig. 2j) that together allows for understanding the geometry of the local environment of the molecule32. The angular distribution of Tau within the hotspots was shifted towards 180°and significantly different from what is expected from random motion (Fig. 2j) and consistent with motion within a confined space. We next estimated the lifetime of each burst (burst duration) and the number of detections per burst (burst size). The average burst duration and size of the Tau hot spots were 11.9 ± 10.9 s and 136.1 ± 129.2 detection counts (mean ± s.d.), respectively (Fig. 2k,l). Finally, we found that TauWT-mEos3.2 molecules also formed hot spots and displayed heterogeneous mobility patterns in HEK293T cells (Supplementary Fig. 6) similar to those observed in N2a cells, indicating that the dynamic behavior of Tau is conserved across cell types.
To ascertain that the Tau hotspots were not an artifact due to the presence of the mEos3.2 tag, we performed single-molecule imaging of TauWT fused with the HaloTag in N2a cells incubated with a HaloTag ligand (Janelia Fluor 646). At a 100 pM concentration of the Halo ligand, we only obtained single-molecule signals in N2a cells transfected with TauWT-HaloTag but not in cells transfected with either the free HaloTag or TauWT-FLAG-Tag (Supplementary Fig. 7). By combining Voronoï tessellation-based spatial segmentation and tcPALM analyses, we observed that TauWT-HaloTag molecules also formed hot spots near the plasma membrane (Fig. 3a-e). The average burst duration and size of TauWT-HaloTag hot spots were 10.2 ± 14.2 s and 285.2 ± 519.1 detection counts (mean ± s.d.), respectively (Fig. 3f-h). Membrane protein clusters often exhibit lateral mobility with functional consequences33. For example, DC-SIGN and LAT cluster mobility are linked to virus internalization and T cell signaling, respectively33. We therefore wondered whether Tau hot spots can also display movements. To test this, we constructed trajectories of TauWT-HaloTag hot spots at 0.2 s intervals over their lifetime (Fig. 3i). We then quantified the MSD curves of hot spot trajectories and found that some hot spots were stationary whereas others were mobile (Fig. 3j). Overall, these results show that Tau forms hot spots that are dynamic at the cell surface.
Given that microtubules are a major binding partner of Tau and that microtubules localize to and interact with the plasma membrane, we next asked whether the mobility pattern of Tau is affected by the availability of microtubules. Indeed, a diffraction-limited TIRF image of the TauWT-mEos3.2 expressing cells readily revealed microtubule-like structures indicative of the association of Tau with the microtubules (Fig. 4a). To assess the effect microtubules have on Tau’s mobility, we treated the N2a cells with either 5 μM of the microtubule-destabilizing agent nocodazole or DMSO (control) for up to 4 hours. As expected, in the diffraction-limited TIRF images, the density of microtubule filament-like structures visualized by TauWT-mEos3.2 molecules was markedly reduced in nocodazole-treated compared to DMSO-treated live cells (Fig. 4a,b and Supplementary Fig. 8a). A similar effect was observed when imaging the same cell before and after nocodazole treatment (Supplementary Fig. 8b). We also saw a similar decrease in microtubule filaments in fixed, nocodazole-treated N2a cells stained with an anti-tubulin antibody (Supplementary Fig. 9). Consistent with what has been previously reported34, we did observe a few nocodazole-resistant microtubules. Remarkably, the trajectory maps showed that Tau molecules could be detected in both DMSO- and nocodazole-treated cells (Fig. 4c,d). We further found that the mobility of Tau was higher in the nocodazole-treated compared to control cells, as assessed by changes in the average MSD (Fig. 4e), the area under the curve (Fig. 4f), the frequency distribution of diffusion coefficients (Fig. 4g), and the percentage of the mobile fraction (Fig. 4h).
To further validate this effect, we generated a pseudophosphorylated mutant Tau tagged with mEos3.2 by introducing two serine to glutamate mutations at positions 262 and 356 in the microtubule-binding domain (TauS262E/S356E-mEos3.2) that reduce Tau’s binding affinity to microtubules35 (Fig. 4i). As expected, the microtubule filament-like structures were barely visible in TauS262E/S356E-mEos3.2-expressing cells compared to those expressing TauWT-mEos3.2 (Fig. 4j,k and Supplementary Fig. 10), indicating a reduced association of the mutant Tau with the microtubules. Yet, we could readily detect and track a similar number of molecules in both TauWT-mEos3.2- and TauS262E/S356E-mEos3.2-expressing cells (Fig. 4l-m and Supplementary Fig. 11a). Consistent with our nocodazole experiments, we found that TauS262E/S356E-mEos3.2 had higher mobility than TauWT-mEos3.2 (Fig. 4n-q). For both conditions, HMM analysis revealed that Tau molecules displayed at least three distinct diffusive states (Supplementary Fig. 11). Together, these results indicate that the mobility of Tau increases when it is released from microtubules and that the protein exhibits heterogeneous mobility patterns even when the Tau/microtubule interactions are prevented.
We next investigated the effect of microtubule perturbations on the dynamics of Tau hot spots. We were able to detect transient hot spots of TauWT-mEos3.2 in nocodazole-treated cells (Fig. 5a-g) and of TauS262E/S356E-mEos3.2 in untreated cells (Fig. 5h-n). In microtubule-perturbed conditions, the burst duration and size of the Tau hot spots were ~13-15 s and ~160-180 detection counts, respectively, and the density of the hot spots was ~0.4-0.5 spots/μm2, comparable to the values obtained for TauWT-mEos3.2 in untreated cells. Previous studies have described cholesteroldependent and -independent mechanisms of protein clustering at the plasma membrane36, and cholesterol depletion has been shown to decrease the unconventional release of Tau through the plasma membrane in N2a cells7. We therefore examined the effect of cholesterol depletion on the dynamics of Tau hot spots by treating TauS262E/S356E-mEos3.2-expressing N2a cells with 6 mM methyl-β-cyclodextrin (MβCD), a concentration known to strongly deplete cholesterol. Interestingly, there was no apparent effect of cholesterol depletion on the dynamics of Tau hot spots. The burst duration, burst size and density of Tau hot spots were 13.6 ± 14.6 s, 172.9 ± 338.2 detection counts, and 0.46 ± 0.22 spots/μm2 (mean ± s.d.), respectively (Fig. 5o-u). Together, these findings that Tau spots are resistant to microtubule perturbations and cholesterol depletion.
In summary, our study sheds new light on the complex, spatiotemporal organization of Tau near the plasma membrane. We revealed that Tau exists in distinct motion states in this region: (i) it may be immobile and trapped inside hot spots, (ii) microtubules may transiently confine it, or (iii) it may undergo free diffusion along the plasma membrane. Cytosolic proteins use different routes, varying in their time spent in different mobility states, to reach their target sites at the plasma membrane. A case in point is the molecular dynamics linked to focal adhesion (FA) zones. For instance, some proteins, such as Rac1 and kindlin, are targeted to the membrane where they can undergo free diffusion before being recruited to and confined at these zones37,38. By contrast, proteins such as talin and PIX are directly recruited from the cytoplasm to these zones and become confined37,38. Why proteins choose different recruitment pathways appears to be dictated by their functions and is still a matter of intense investigation. Given that a significant proportion of Tau molecules freely diffuses near the plasma membrane, we speculate that free diffusion may allow Tau to explore the membrane efficiently and that this pool serves as a reservoir to supply Tau to its multiple interactors at the plasma membrane. Consistent with this notion, blocking Tau’s interactions with microtubules increased the mobile pool of Tau.
Protein clustering has emerged as a dominant feature of membrane organization11,39, with the molecular characteristics and functional significance of protein clusters at the membrane slowly emerging26. In our study, we observed transient hot spots of Tau near the plasma membrane that resemble membrane receptor clusters22 and RNA polymerase and mediator complex condensates30,31. What are these Tau hot spots and which functions do they exert? One possibility is that the preexisting assemblies of Tau’s interaction partner(s) such as Fyn and annexin may serve as sites to capture and trap Tau molecules as they pass. Alternatively, Tau may itself form assemblies near the plasma membrane, influencing biochemical reactions in the local environment. Notably, the burst duration of hot spots varied by up to two orders of magnitude in all tested conditions, indicating substantial variability in the kinetics of hot spots and suggesting that multiple mechanisms determining hot spot formation and their stability may be at play, with some assemblies destined to be extracellularly released and others to remain and undertake membrane functions. Remarkably, the lifetime of a hot spot far exceeds (by two orders of magnitude) the reported ~40 ms dwell time of Tau on microtubules12, hinting that the interactions of Tau with different partners lead to different Tau behaviors and potentially different biological outcomes. It is tempting to speculate that it is not only the dynamics of individual hot spots but also the coordination of multiple hot spots at the plasma membrane that determines Tau’s membrane functions. Whether Tau hot spots contribute to membrane insertion and fibrillization in pathological conditions such as Alzheimer’s disease remains to be determined.
COMPETING INTERESTS
The authors declare that no conflict of interest exist.
METHODS
Cell culture and transfection
N2a mouse neuroblastoma cells were maintained in Dulbecco’s minimum essential medium (ThermoFisher; Catalog No. 11965-092) supplemented with 10% foetal bovine serum (Bovogen; Catalog No. SFBS-F) and 50 U/ml penicillin/streptomycin (Gibco; Catalog No. 15140-122). Cells were grown at 37°C in 5% CO2. 250,000 cells per well were plated in 12-well plates for 18 h before transfection. Lipofectamine™ LTX and Plus reagent (Invitrogen; Catalog No. 15338030) were used for cell transfections as per the manufacturer’s instructions. For imaging, the cells were dissociated with Trypsin-EDTA (0.25%; Catalog No. 25200-056), centrifuged, and ~32,000 cells were replated on poly-D-lysine-coated 35 mm glass-bottom culture dishes (Ibidi) for one hour. The media was then full changed, and cells were imaged after 16 to 40 h.
Plasmids
Mammalian expression plasmids were made using human tau cDNA for isoform 0N4R and the human cytomegalovirus (CMV) promoter. Fusion proteins were created with a C-terminal tag of mEos3.2, HaloTag or FLAG-tag (DYKDDDDK). The plasmid mEos3.2-C1 was a gift from Michael Davidson and Tao Xu (RRID:Addgene_54550)40. Pseudo-phosphorylated Tau at Ser262 and Ser356 was made by substitution of serine by glutamic acid. Plasmids for control expression of tagged proteins were created by deletion of the tau encoding sequence.
Western blot analysis
N2a cells were collected for expression validation from the 12-well plate at 24 h post transfection in RIPA buffer (Cell Signalling Technologies; Catalog No. 9806) in the presence of phosphatase inhibitor (Roche; Catalog No. 04906837001) and protease inhibitor (Roche; Catalog No. 04693159001). Samples were diluted in Laemmli buffer, sonicated and heated to 95°C for 10 minutes, then separated using SDS-PAGE on 4-20% Criterion TGX (BioRad; Catalog Nos. 5671084 and 5671085) gradient gels at 250 V. The samples were transferred to nitrocellulose membranes (Merck; Catalog No. HATF00010) for 50 minutes at 400 mA. The membranes were blocked in TBS containing Odyssey Blocking Buffer (LI-COR; Catalog No.927-50000) and incubated in primary antibodies (Tau5 1:5,000) overnight at 4°C followed by incubation with the secondary antibody for one hour at RT. Membranes were imaged on the LI-COR Odyssey scanner using the Image Studio software (LI-COR; Catalog Nos. 926-32211 and 926-68070).
TIRF microscopy and single-molecule imaging
For live-cell TIRF microscopy, transfected cells were imaged using an iLas2 azimuthal TIRF illumination system (Roper Scientific) mounted on a Nikon Ti-E inverted microscope, with a 100x/1.49 NA oil-immersion TIRF objective (CFI Apochromat, Nikon) and Evolve 512 Delta EMCCD cameras (Teledyne Photometrics). Image acquisition was performed using MetaMorph (version 7.10.1.161, Molecular Devices). Single-molecule imaging of Tau tagged with mEos3.2 was performed at 50 Hz to record 8,000 frames per cell at 37 °C. Cells were washed and incubated with buffer A (145 mM NaCl, 5 mM KCl, 1.2 mM Na2HPO4, 10 mM D-glucose, 20 mM Hepes, pH 7.4) during imaging. To perform sptPALM, we used a 405 nm laser (Stradus 405, Vortran Laser Technology) to photoconvert the mEos3.2-tagged molecules and a 561 nm laser (Cobolt Jive, Cobolt Lasers) for excitation of the photoconverted molecules. To activate and detect the mEos3.2 signal from the background signals, we used a TIRFM GFP/RFP filter cube (Nikon corporation) in the microscope body, and a T565lpxr long-pass dichroic beam splitter, and an ET600/50m emission filter (Chroma Technology) in the TwinCam (Cairn Research) dual emission image splitter transmission arm. The 405 nm laser power density was between 3.4 x 10-6 and 9.5 x 10-5 kW/cm2, and the 561 nm laser power density was set to ~0.14 kW/cm2. To track TauWT-HaloTag, we first incubated cells coexpressing TauWT-HaloTag and the cell fill mEmerald with the Halo ligand (2 pM) for 15 min at 37°C. Then, cells were washed and TauWT-HaloTag molecules were tracked using a 642 nm laser at a power density of 0.12 kW/cm2, a ZT405/488/561/647rpc quad-band dichroic beam splitter and ZET405/488/561/640m emission filter (Chroma Technology) in the microscope body, and a ZT647rdc dichroic beam splitter and an ET690/50m emission filter (Chroma Technology) in the TwinCam transmission arm.
Nocodazole and MβCD treatments
For nocodazole treatment experiments, cells were incubated with either nocodazole (5 μM) or DMSO mixed with culture medium. Cells were then washed and incubated with buffer A containing either nocodazole (5 μM) or DMSO during imaging. For MβCD experiments, cells were washed and incubated with buffer A containing 6 mM MβCD. Imaging was performed between 5 and 40 minutes post MβCD treatment.
SptPALM analysis
Tracking
We localized and tracked individual Tau molecules tagged with mEos3.2 as previously described28,41,42. Briefly, individual molecules were localized using a wavelet-based segmentation algorithm43 and trajectories were computed using a simulated annealing-based tracking algorithm44, with the PALM-Tracer tool that operates as a plugin of Metamorph software (Molecular Devices). We used a frame-to-frame particle-linking distance threshold of 318 nm (3 pixels). We visually inspected for misconnections using the InferenceMAP tool in both fixed and live cells45. Of note, we observed a small proportion of mobile molecules in fixed samples, potentially due to incomplete molecular immobilization after fixation using paraformaldehyde46.
Intensity and trajectory maps
Intensity and trajectory maps were constructed using detections lasting at least four and eight consecutive frames, respectively. For intensity maps, the local density of each detection was determined by computing the number of detections with a circle of 30 nm radius using a custom written code.
Mean square displacement and diffusion coefficients
We constructed trajectories of detections that lasted at least eight consecutive frames and computed the MSD of each trajectory. The MSD was fitted by the equation MSD(τ) = a + 4Dτ, where D is the diffusion coefficient, a is the y-intercept and τ is the time shift. Cells with at least 1,000 trajectories lasting at least 8 frames were considered for analysis with MSD and diffusion coefficients. The average MSD of all trajectories from each analyzed cell was fitted by the equation MSD(t) = a + 4Davgτ to estimate the average diffusion coefficient Davg (Supplementary Fig. 12).
Moment scaling spectrum
Using divide-and-conquer moment scaling spectrum (DC-MSS) tool47, we performed the moment scaling spectrum (MSS) analysis to TauWT-mEos3.2 trajectories that lasted at least 20 frames, estimated the slope of MSS, and categorized the trajectories into different motion states, as described previously27,47. Briefly, for every time shift τ, the moments of displacement, μm, were computed for m= 1, …, 6. Next, using the relationship μm(τ) = 4Dmταm, the generalized diffusion coefficient Dm and the exponent αm are estimated for each m. The plot αm versus m yields the MSS and the slope of the MSS allows categorizing trajectories into different motion types.
Hidden Markov modelling
The vibrational Bayes SPT (vbSPT) tool48 was used to analyze TauWT-mEos3.2 and TauS262E/S356E-mEos3.2 trajectories. Cells with ≥1000 trajectories were used for this analysis. HMM approach models the trajectories as random transitions between a set of hidden states with different diffusion coefficients. By applying Bayesian model selection to hidden Markov models, the vbSPT analysis infers the number of hidden diffusive states and the associated parameters from the experimental data. Initially, when we allowed a maximum of 10 hidden states, models with 3 or more states provided the best fit (Supplementary Fig. 5). We have therefore presented the parameters estimated by fitting a three-state model to the experimental data (Fig. 1l and Supplementary Figs. 5f, 6j and 11b).
Frame-to-frame displacement analysis
We computed the empirical cumulative frequency distribution of the displacements of Tau molecules tagged with mEos3.2 molecules at 20 ms intervals using the tool ECDF in MATLAB. The one-state model is described by , the two-state model by , and the three-state model by . Here, r is the displacement, Δt is the time interval (20 ms), D1, D2 and D3 are the diffusion coefficients of the three states, and f1, f2 and f3 are the state occupancies. We fit the predictions of different models to the data using the non-linear regression tool NLINFIT in MATLAB to estimate the model parameters.
Voronoï tessellation and time-correlated PALM (tcPALM)
We used a cross-correlation-based method to correct for any motion drift during imaging acquisition49. We then used the SR-Tesseler tool29 to identify the outline of the cell (object). Tau hot spots were identified as regions with local density at least five-fold greater than the average density of the object. Next, we performed the tcPALM analysis30,31 by drawing a square region of interest around each spot and computing the number of detections within the region as a function of time. The start and end points of each burst were identified from the cumulative detections using dark time tolerance of 200 frames. Bursts with at least 50 detections were considered for further analysis. To avoid cell edge confounds due to the folding of membranes at the edges, we analyzed cell areas of ~100-400 μm2, excluding cell edges.
Statistical analysis
The D’Agostino and Pearson test was used to test for normality, and the Student’s t-test was used for statistical comparison when the data were normally distributed. When data sets had more than two groups, an ANOVA was used with appropriate corrections for multiple comparisons. Values are represented as the mean ± s.e.m or mean ± s.d., as indicated in the figure legends. Data were considered significant at p<0.05. GraphPad Prism 9 was used to perform statistical tests and making figures.
ACKNOWLEDGMENTS
We thank Rowan Tweedale for critical reading of the manuscript. We acknowledge Corey Butler and Adel Kechkar for their contributions in the development of PALM-Tracer. The imaging was performed at the Queensland Brain Institute Advanced Microscopy Facility, supported by the Australian Government through the Australian Research Council LIEF grant (LE130100078). We acknowledge support by the Estate of Dr. Clem Jones, the State Government of Queensland (DSITI, Department of Science, Information Technology and Innovation), and the National Health and Medical Research Council of Australia (GNT1176326, GNT1147569, and GA39196) to J.G.