Tau, an intrinsically disordered protein confined to neuronal axons, binds to and regulates microtubule dynamics. Although there have been observations of string-like microtubule fascicles in the axon initial segment (AIS) and hexagonal bundles in neurite-like processes in non-neuronal cells overexpressing Tau, cell-free reconstitutions have not replicated either geometry. Here we map out the energy landscape of Tau-mediated, GTP-dependent ‘active’ microtubule bundles at 37 °C, as revealed by synchrotron SAXS and TEM. Widely spaced bundles (wall-to-wall distance Dw–w≈25–41 nm) with hexagonal and string-like symmetry are observed, the latter mimicking bundles found in the AIS. A second energy minimum (Dw–w≈16–23 nm) is revealed under osmotic pressure. The wide spacing results from a balance between repulsive forces, due to Tau’s projection domain (PD), and a stabilizing sum of transient sub-kBT cationic/anionic charge–charge attractions mediated by weakly penetrating opposing PDs. This landscape would be significantly affected by charge-altering modifications of Tau associated with neurodegeneration.
Microtubules, a component of the eukaryotic cytoskeleton, are made up of αβ-tubulin heterodimers that dynamically assemble into hollow nanotubes composed of straight protofilaments1. Microtubules are involved in a wide variety of cell functions (for example, intracellular trafficking, cell motility and chromosome segregation) through functionalization, in part, by microtubule-associated proteins (MAPs). One MAP in particular, Tau, is localized to neuronal axons and stabilizes microtubules upon binding (Fig. 1a), by partially suppressing microtubule dynamic instability (alternating periods of polymerization of tubulin into microtubules interrupted by catastrophe, or the rapid disassembly of microtubules following loss of the microtubule GTP cap). While Tau is developmentally regulated in neurons, Tau dysfunction in mature axons has been linked to many neurodegenerative ‘tauopathies’ (including Alzheimer’s2, FTDP-17 (ref. 3), and, more recently, chronic traumatic encephalopathy in athletes suffering concussions4). Tau consists of an amino-terminal tail (NTT) containing a projection domain (PD) and proline-rich region, followed by the microtubule-binding region (MTBR) and a carboxyl-terminal tail (CTT). Alternative splicing results in six wild-type (WT) isoforms (Fig. 1b); the MTBR either has four or three imperfect repeats (4R- or 3R-Tau isoforms), depending on the expression/non-expression of exon 10. The PD length depends on the expression of exons 2 and/or 3 with +/+, +/− and −/−, resulting in long (-L), medium (-M) and short (-S) length PDs, respectively.
While it is generally accepted that Tau interacts with individual microtubules, the interactions between microtubules mediated by Tau remains unclear. Before the discovery of Tau, groundbreaking electron microscopy studies of the fine structure of axons in mature rat hippocampal neurons revealed5,6 that the axon initial segment (AIS) contained widely spaced (Dw–w≈25–30 nm) string-like microtubule bundles (‘fascicles of microtubules’, Fig. 1c). Fascicles are now believed7 to be a cardinal feature of the AIS, acting as a filter by allowing passage of kinesin motors with axon-specific cargo and thus contributing to neuronal polarity (that is, ensuring distinct molecular environments for axons and dendrites). Later, seminal studies8,9 of non-neuronal cells overexpressing transfected Tau cDNA had concluded that the Tau PD determines inter-microtubule distances in observed widely spaced hexagonally ordered microtubule arrays (Fig. 1d), although the studies could not discern whether bundles result from the presence of Tau-mediated attractions or due to a repulsive lattice under confinement. The answer to the very important question of whether Tau, which is localized to the axon region, induces microtubule bundles similar to those found in the AIS remains controversial. Cell-free reconstitutions10,11 resulted in no microtubule bundles, which led to the conclusion that the absence of bundles was due to the purely repulsive nature of Tau. Complicating matters was the frequent use of paclitaxel to stabilize microtubules12,13. Synchrotron small-angle X-ray scattering (SAXS) has shown14 that WT Tau does not bundle paclitaxel-stabilized microtubules over the relevant Tau-coverage regime in axons15. In eliminating microtubule dynamic instability, it was possible that the normal behaviour of microtubules was being suppressed, without it being clear that paclitaxel-stabilized results were reflective of biological reality.
The current study was designed to elucidate the molecular mechanism of Tau-mediated microtubule–microtubule interactions in paclitaxel-free reaction mixtures of tubulin, GTP and WT Tau/truncated Tau (at Tau to tubulin–dimer molar ratios, ΦTau=1/40 to 1/5) under dissipative out-of-equilibrium conditions at 37 °C (that is, mimicking the cytoskeletal environment of nerve cells with samples consuming the energy released by GTP hydrolysis). Synchrotron SAXS and plastic-embedded transmission electron microscopy (TEM) were used to obtain both angstrom-resolution ensemble-averaged structural information and nanometer-scale real-space local fine structure, respectively.
Our study reveals steady-state structures that are stable over time (>24 h). Synchrotron SAXS studies under osmotic pressure allows us to map out the energy landscape of Tau-mediated, GTP-dependent active microtubule bundles at 37 °C. In the absence of applied osmotic pressure, the microtubule reaction mixture exhibits Tau-induced phase separation into microtubule bundles (forming domains of high and low concentrations of microtubules in optical microscopy), unambiguously demonstrating the presence of an attractive component to Tau-mediated interactions between microtubules, as opposed to previous studies that had concluded that Tau acted as a purely repulsive spacer10,16. SAXS and TEM reveal widely spaced bundles (energy minimum at microtubule wall-to-wall distance Dw–w≈25–41 nm) with hexagonal and string-like symmetry, the latter mimicking bundles found in the AIS. We propose a mechanism in which aggregate sub-kBT cationic/anionic charge–charge attractions by weakly penetrating Tau PDs on opposing microtubules stabilize active bundles. This mechanism is contingent on the overall microtubule length and thereby reconciles the lack of microtubule bundles in previous cell-free reconstitutions10,11,14. With applied osmotic pressure, a second minimum (Dw–w≈16–23 nm), indicative of antiparallel dipole–dipole interactions of interpenetrating Tau PDs, is revealed. Notably, we find that contrary to current dogma, the CTT alone is able to mediate relatively wide spacings in the absence of the NTT.
SAXS reveals Tau-mediated hexagonally ordered MT bundles
SAXS is especially well suited to investigate Tau-directed higher-order assembly of microtubules (as seen at low resolution via differential interference contrast (DIC) microscopy; Fig. 1e,f), as solution scattering yields assembly structures in near-physiological conditions without tags/labels. Azimuthally averaged scattering of microtubules co-assembled with WT Tau isoforms (ΦTau=1/10) registers Bragg peak positions consistent with a two-dimensional (2D) hexagonal array (q10, q11=31/2q10, q20=2q10, q21=71/2q10, q30=3q10, q22=121/2q10) of microtubules with centre-to-centre distance aH=4π/(31/2q10) (Fig. 2a). Some peak positions are not apparent due to their proximity to the form factor minima (in particular, q11 and q22), necessitating line-shape analysis to separate scattering from individual microtubules (form factor, see Fig. 2a, bottom profile), the lattice of microtubules (structure factor) and background small-angle scattering. Following previous work14,17, we modelled microtubules as hollow cylinders with ensemble-averaged inner radius <rin> (a fit parameter) and constant wall thickness δ (49 Å, in agreement with electron microscopy of microtubules18). Each structure factor peak at reciprocal lattice vector qhk=q10(h2+k2+hk)1/2 was represented as squared lorentzians (fit results as red solid lines in Fig. 2a, see Methods).
Even after ≈24 h, there are no major changes in scattering (Supplementary Fig. 1), indicating that although the microtubules are dynamic (that is, hydrolyzing GTP), they have reached a steady state. The fit parameters, <rin> and aH, calculated microtubule wall-to-wall distance Dw–w (=aH−2(<rin>+δ)) and Dw–w normalized to the PD radius of gyration (RGPD) in solution (2.8/3.3/3.8 nm for -S/-M/-L Tau isoforms, see Methods) are plotted in Fig. 2b–e, as a function of increasing ΦTau. The Dw–w≈25–41 nm is similar to inter-microtubule spacings seen in cells (Fig. 1c). For both three-repeat and four-repeat Tau isoforms, increasing PD length (increasing anionic block size, Fig. 1b) leads to increases in Dw–w (for example, at ΦTau=1/10 in Fig. 2d Dw–w increases from ≈28–29 nm (26–31 nm) to 35–38 nm (33–41 nm) in going from 3RS (4RS) to 3RL (4RL)). This behaviour is consistent with observations in transfected cells8,9, where Tau isoforms with longer PDs exhibit microtubule bundles with larger spacing. Notably, Dw–w/RGPD is nearly constant (≈8–11, Fig. 2e). By plotting Dw–w and Dw–w/RGPD for the six WT isoforms as a function of the total overall charge of Tau (QTau, Fig. 2f,g), we see that Dw–w decreases systematically as the overall cationic charge of Tau increases. We note that the decrease in Dw–w with increasing charge is accompanied by the simultaneous decrease in the size of the PD (that is, increases in Tau charge correspond to anionic inserts being removed). Thus, both the Tau PD size and electrostatics of Tau plays a role in mediating these widely spaced bundles.
TEM reveals active microtubule architecture mimicking that of the AIS
TEM independently confirms phase separation of microtubules into bundles (Fig. 2h, Φ3RM=1/20) seen in DIC microscopy (Fig. 1f). TEM cross-sections exhibit microtubule domains in widely spaced hexagonally ordered 2D arrays (Φ3RL=1/20, white outlines in Fig. 2i), consistent with SAXS diffraction peaks. However, there is also an additional feature not apparent in the SAXS data: vacancies amidst areas of high microtubule density (akin to vacancy defects in crystalline materials). The vacancies are likely the result of the dissipative nature of the reaction mixture: although Tau partially suppresses dynamic instability in a Tau concentration-dependent manner19, microtubule dynamic instability is still occurring (for ΦTau≤1/5) and introduces significant vacancies in the microtubule array. While the more ordered regions are readily picked up in SAXS, TEM also reveals significantly less-ordered regions, where microtubules appear to form linear bundles (Φ3RL=1/20, Fig. 2j), mimicking string-like bundles (‘fascicles of microtubules’6) found in the AIS (Fig. 1c). The occurrence of these linear bundles in regions of low microtubule concentration may be the result of simultaneous attractive and repulsive interactions of comparable strength between Tau-coated microtubules at wide spacings.
Truncated Tau shows Tau PD is unnecessary for microtubule bundles
To further elucidate the nature of Tau-mediated microtubule–microtubule interactions, truncated Tau mutants (Fig. 1a, truncated Tau) were expressed/purified, and used for similar SAXS measurements (Fig. 3a) and subsequent parameter extraction from line-shape analysis (Fig. 3b–g): 3RSΔC (truncation of the entire CTT), 3RΔ(N-) (truncation of the anionic component of the NTT) and 3RΔN (truncation of the entire NTT). CTT elimination of 3RS Tau (3RSΔC) has scattering associated with widely spaced bundles (Fig. 3a, top profile) and extracted parameters <rin>, aH and Dw–w (Fig. 3b–d) similar to that of 3RS WT Tau (Fig. 2b–d), strongly indicating that the CTT is not critical to the WT mechanism of widely spaced bundles. Elimination of the entire anionic block from the PD (3RΔ(N-)) collapses the bundles (Fig. 3a, middle profile, Fig. 3d, Dw–w≈4–5 nm), with a tight microtubule wall-to-wall spacing comparable to the radius of gyration of 3RΔ(N-) (RG=4.79 nm, see Methods)20. This result indicates that the anionic block of the PD (a charged polymer containing overall anionic and cationic blocks) presents the dominant component of the repulsive barrier preventing neighbouring microtubules from getting closer.
Removal of the entire NTT of Tau (3RΔN) results in a highly unexpected finding, where the SAXS data (Fig. 3a, bottom profile) give Dw–w≈22–24 nm (Fig. 3d) compatible with widely spaced bundles, despite the nominal size (RG=4.0 nm) of 3RΔN. The relatively wide spacing seen upon elimination of the NTT (3RΔN) indicates that the NTT is unnecessary for widely spaced bundling (under these conditions) and that, in its absence, the CTT (Fig. 1a) plays an equivalent role in determining the inter-microtubule interactions. TEM of microtubules assembled with 3RΔN and 3RΔ(N-) (Fig. 3h,i) clearly shows microtubule bundles with relatively wide inter-microtubule spacing and in close contact, respectively, consistent with the SAXS data. For 3RΔN and 3RSΔC, Dw–w/RG (≈8–11, Fig. 3e,g) is consistent with the WT ratio (Fig. 2e,g), suggesting a similar mechanism of inter-microtubule interactions. However, 3RΔ(N-) presented markedly smaller Dw–w (≈5 nm) and Dw–w/RG (≈2–4, Fig. 3e,g), suggesting a different inter-microtubule interaction regime.
Second energy minimum of bundles accessed via osmotic stress
To understand the molecular mechanism of the Tau-mediated interactions between microtubules in active bundles, the force response behaviour of bundles was measured via SAXS of reaction mixtures under osmotic stress. We used high molecular-weight PEO-100k (size≈40 nm, see Methods) to ensure that polymer depletant did not penetrate the inter-microtubule region in the widely spaced bundles, creating a polymer concentration exterior to microtubule bundles and thus exerting an osmotic pressure (P) on the bundle itself. By this method (Fig. 4a), we measured the microtubule wall-to-wall spacing Dw–w of bundles induced by 3RS and 3RL WT isoforms as a function of increasing P (Fig. 4b). The P–Dw–w curves for both WT isoforms exhibit an initial soft repulsion with Dw–w decreasing ≈3–4 nm up to P≈40 Pa followed by a steep increase in slope (with Dw–w decreasing ≈2–3 nm for 40 Pa<P<≈300–400 Pa) consistent with a highly repulsive barrier due to the PD with anionic blocks, resisting osmotic compression. Remarkably, above a critical pressure Pc (≈300 and 400 Pa for 3RS and 3RL, respectively), there is an abrupt ≈5 nm decrease in Dw–w from ≈21.5 to ≈16.5 nm for 3RS and ≈27.5 to≈22.5 nm for 3RL. This sudden jump is reflected in the SAXS data as a sudden large shift in peak position as P is increased to just above Pc (lines in Fig. 4a are a guide to the first peak below and above Pc).
The osmotic pressure data and, more specifically, the abrupt transition above Pc are consistent with the onset of antiparallel dimerization between fully interpenetrating dipolar Tau PDs on opposing microtubule surfaces (Fig. 4c). Microtubule bundles at this intermediate spacing are in a second local energy minimum distinct from widely spaced bundles in the absence of PEO. Several findings support this model. First, reversibility measurements show this local minimum is stable, as bundles for P>Pc do not relax to their previous spacings upon removal of PEO-100k but instead relax to the Dw–w associated with Pc. This implies the barrier between the second and widely spaced minima is greater than thermal energy kBT. Second, the wall-to-wall spacing observed for this local minimum for intermediate spacing bundles (Dw–w≈22.5 nm for 3RL) is consistent with the recent work showing that PDs for microtubule-bound Tau are in an extended conformation (size≈23 nm for the -L isoforms), twice that of the Tau PD physical diameter in solution21.
Considering the minimum associated with widely spaced bundles, several findings with WT Tau isoforms point to the repulsive component emanating from the PD containing the anionic block: the steep repulsive barrier when PD chains are pushed together under osmotic pressure and the increase in Dw–w with increasing PD length (and increasing anionic block size, Fig. 2d). The observation of microtubule phase separation into widely spaced bundles (Figs 1f and 2h), upon addition of small amounts of WT Tau (as low as ΦTau=1/40), demonstrates a Tau-mediated attractive component of the energy minimum, which overcomes the repulsive component, stabilizing microtubule bundles against dilution. To reconcile these wide spacings, we note that it was recently discovered20 that the effective size of the PD was more extended on the microtubule surface (≈23 nm for -L isoforms) than SAXS solution data would indicate. This effective size, when put in context of the large Dw–w (≈35–38 nm for 3RL), strongly supports a model where only PD end regions interact with each other to create an attraction potential. Although the Tau PD is overall anionic, locally it is a polyampholyte containing positive and negative residues. In addition, the short Debye screening length (≈9.8 Å) of the reaction mixture solution and consistently wide spacings (relative to PD RG in solution, see Fig. 2f) strongly suggest a mechanism mediated by short-ranged attractions between the ends of opposing and extended Tau PDs for all WT isoforms.
Accordingly, we propose that the attraction is provided by transient short-range charge–charge attractions between cationic/anionic residues of weakly penetrating Tau PDs near the midplane-layer between opposing microtubule surfaces (Fig. 4d). The proposed short-range attraction would still require transient extensions beyond the average length. Indeed, the SAXS measurements are ensemble-averaged over a finite time, in which transient, extended conformations are possible, as seen in Monte-Carlo simulations of the PD of 3RS Tau on microtubule surfaces22. While individually these attractions are weak23, the sum of these interactions over the entire microtubule length should be sufficient to stabilize microtubule bundles against thermal fluctuations. (This phenomenon of collective action mediated by a sum of weak attractions is a recurring theme in intrinsically disordered systems, as seen in the nuclear pore complex24,25 and neurofilament sidearms26,27,28.) For Tau-stabilized microtubules (microtubule length≈20 μm)11 in hexagonally ordered active bundles, an energy depth of 10–20 kBT between microtubules would require ≈0.05–0.1 kBT per Tau–Tau interaction at Φtau=1/40. This mechanism is consistent with shorter microtubules not bundling14. Indeed, cell-free constitutions in which microtubule bundling was not observed often involved shorter, paclitaxel-stabilized microtubules10,14 (microtubule length ≈2 μm)29.
A model of polyampholyte-mediated attraction near the midplane-layer dovetails with the truncated Tau data: upon deletion of the entire NTT (3RΔN), the CTT plays an analogous role. The CTT, much like the NTT, has dipole-like characteristics, with a cationic block and anionic block distal to the Tau MTBR (Fig. 1b). Thus, like the NTT, we expect the CTT to be similarly extended off the microtubule surface, as underscored by comparing Dw–w/RG for WT Tau (≈8–11, normalized by the PD RG in solution, Fig. 2f,g) and 3RΔN (≈8–10, normalized by the CTT RG in solution, Fig. 3f,g). However, elimination of the PD anionic block (3RΔ(N-)) results in an overall highly cationic protein, which results in a collapse in spacing between microtubule bundles. This collapse may be due to a similar phenomenon where counterions adopt a non-uniform distribution around charged objects, inducing an attraction via correlated counterion density fluctuations30 (that is, similar to the van der Waals attraction mediated by correlated, transient dipoles). This phenomenon was observed in tightly spaced microtubule bundles induced by smaller polyamines such as spermine (4+)17. Remarkably, this ion correlation mechanism predicts that Dw–w≈physical size31 of the macromolecular counterion (=2(5/3)1/2RG), consistent with Dw–w/RG≈2–4 for 3RΔ(N-) (Fig. 3e,g).
The proposed mode by which Tau bundles microtubules may have major implications for post-translational modifications of Tau associated with neurodegeneration, especially phosphorylation. In tauopathies, both cytosolic Tau and aggregated Tau in neurofibrillary tangles are hyperphosphorylated32,33. Our mechanism predicts that increasing Tau phosphorylation would suppress Tau-mediated attractions and bundle formation. Although the identity of MAPs involved in fascicle formation in the AIS is not fully known, our results suggest that hyperphosphorylation of MAPs in the AIS (for example, either MAP Tau or other MAPs with similar polyampholytic structures in their PDs mediating attractions) would disrupt fascicles, and impair neuronal polarity crucial to healthy neurons.
This highly unusual interaction between widely spaced surfaces is made possible by the non-uniform charge distribution of the PD of Tau, where segments of the NTT (which shift the active zone to the mid-layer) are followed by shorter, cationic/anionic domains enabling attraction between Tau on opposing microtubule surfaces. We hope this discovery will spur analytical and computer modelling efforts, which take into account the specific sequence of Tau, to more quantitatively describe the Tau-mediated interactions and, in particular, the effect on Tau-mediated microtubule attractions in the presence of Tau phosphorylation and disease-related hyperphosphorylation. Furthermore, generalizable principles derived from this system could serve as inspiration for polymer-directed assembling materials.
Purification of Tubulin and Tau
Tubulin was purified from MAP-rich microtubules extracted from bovine brains. MAP-rich microtubules were obtained from crude brain extract by three polymerization/depolymerization cycles, after which tubulin was separated from MAPs with a phosphocellulose anionic exchange column. Tubulin was suspended in PEM50 (50 mM PIPES (pH 6.8), 1 mM MgSO4 and 1 mM EGTA) with protein concentration between 7 and 12 mg ml−1, as measured by bovine serum albumin concentration standard. Solution was drop-frozen in liquid nitrogen and stored in a −70 °C freezer until use.
Tau was expressed in BL21(DE3) competent cells (Life Technologies, Carlsbad, CA) that were transfected with the pRK172 expression vector, coded for the appropriate WT isoform or truncated Tau. After incubation in auto-induction media (10 g of tryptone (CAS#: 91079–40–2), 5 g of yeast extract (CAS#: 8013–01–2), 0.5 g of dextrose (CAS#: 50–99–7), 2 g of α-D-lactose (CAS#: 5989–81–1) and 5 ml of glycerol (CAS#: 56–81–5) per litre of 25 mM Na2HPO4, 25 mM KH2PO4, 50 mM NH4Cl and 5 mM Na2SO4 in deionized (DI) water) for 24 h, cells were collected, lysed and resuspended in BRB80 buffer (80 mM PIPES at pH 6.8, 1 mM EGTA and 1 mM MgSO4). The solution was then bound to a phosphocellulose anionic exchange column, eluted with increasing concentration of (NH4)2SO4 in BRB80. Tau was further purified by a HiTrap hydrophobic interaction chromatography column (GE Healthcare Life Sciences, Pittsburgh, PA), eluted with decreasing concentration of (NH4)2SO4 in BRB80. Tau was then concentrated and buffer exchanged through successive centrifugation cycles using Amicon Ultra-15 Centrifugal Units with MWCO=10,000 (EMD Millipore, Darmstadt, Germany). The concentration of each Tau stock was determined by SDS–polyacrylamide gel electrophoresis comparison with a Tau mass standard (originally measured via amino-acid analysis).
Truncated Tau mutants were designed via the QuikChange Site-Directed Mutagenesis Kit (Agilent Technologies, Santa Clara, CA) with appropriate introduction/deletion of start and stop codons: 3RSΔC (truncation of the entire CTT, deleting residues 280–352 of 3RS), 3RΔ(N-) (truncation of the anionic component of the NTT, deleting residues 2–117 of 3RL) and 3RΔN (truncation of the entire NTT, deleting residues 2–255 of 3RL). Truncated Tau mutants were then expressed/purified, as above.
After thawing frozen tubulin and Tau stocks, samples were prepared on ice, mixing tubulin, GTP and Tau such that final concentrations were 5 mg ml−1, 2 mM and appropriate molar ratio of Tau to tubulin, respectively, in a final volume of 50 μl of PEM50 buffer. Samples were then polymerized in a 37 °C for 40 min. If necessary, sample was brought to appropriate KCl concentration.
Osmotic pressure samples
A previous study34 measured the osmotic pressure (in Pa), P, of an aqueous solution of varying concentrations (cg ml−1), wt%, of poly(ethylene oxide) (MW=105,000 g mol−1) at 35 °C, which was taken as an reasonable approximation of the behaviour of PEO-100k at 37 °C, absent further data. Data were fit to a second-order polynomial (following the mathematical form of a virial expansion) to determine a formula to relate an arbitrary PEO-100k concentration to a corresponding osmotic pressure (P, in Pa):
Alternatively, following a derivation in Rau et al.35, the osmotic pressure (P) on cylinders in a hexagonal lattice can be converted to a force per unit length between nearest cylinder pairs f as a function of the hexagonal lattice parameter aH:
PEO-100k was used as the osmotic depletant of choice compared with better-characterized depletants to parameters unique to our system: as stable inter-microtubule distances of up to 41 nm were observed, the size of the depletant had to be equal or greater than that distance to create a concentration differential inside/outside the microtubule bundle. Prior work36 measured the radius of gyration (RG) of a function of PEO molecular weight (MW):
Thus, the effective depletant radius21, a=2RGπ−1/2=19.95 nm, or an effective depletant diameter, d≈40 nm, satisfies our experimental conditions that polymer not penetrate the space between microtubules in microtubule bundles.
Small-angle X-ray scattering
After polymerization, samples are loaded into 1.5-mm diameter quartz mark tubes (Hilgenberg GmbH, Malsfeld, Germany) and subsequently spun in a capillary rotor in a Universal 320R centrifuge (Hettich, Kirchlengern, Germany) at 9,500g, 37 °C for 30 min to protein density suitable for synchrotron SAXS. To ensure that structures were not induced by centrifugation, samples were observed over a period of 36 h, with no major changes to scattering or extracted parameters (Supplementary Fig. 1).
After centrifugation, varying concentration of PEO-100k in PEM50 was added for SAXS samples under osmotic pressure. Samples are subsequently sealed with epoxy and placed in a custom-made sample oven (maintained at 37 °C) with X-ray-transparent Kapton windows for scattering measurements.
SAXS measurements are carried out at the Stanford Synchrotron Radiation Laboratory (Palo Alto, CA) beamline 4–2 at 9 KeV (λ=1.3776 Å) with a Si(111) monochromator. Scattering data are taken with a 2D area detector (MarUSA, Evanston, Illinois) with a sample to detector distance of ≈3.5 m (calibrated with a silver behenate control). X-ray beam size on the sample was 150 μm in the vertical and 200 μm in the horizontal directions. To ensure reproducibility, scattering data were retaken for most samples at similar sample conditions using tubulin and Tau from different purifications and expressions/purifications, respectively.
Scattering data were azimuthally averaged and small-angle scattering was subsequently background subtracted by fitting the minima of scattering intensities to a polynomial equation. Data were then fit to the appropriate model using a custom MATLAB fitting routine using the Levenberg–Marquadt non-linear fitting routine. Microtubules were modelled as homogenous, hollow cylinders (with no expected scattering from Tau/PEO due to low electron density relative to water) with ensemble-averaged inner radius <rin> (a fit parameter), wall thickness δ (49 Å, an input parameter18) and microtubule length L (20 μm, an input parameter for Tau-stabilized microtubules16), averaged all orientations in q-space:
Where q˙ and qz are wavevectors perpendicular and parallel to the tubular axis, and J1 is the Bessel function of order 1. The structure-factor peaks (at reciprocal lattice vector for a hexagonal array, |Ghk|=q10(h2+k2+hk)1/2) were modelled as squared lorentzians with peak amplitude Ahk (a fit parameter) and peak width κhk (a fit parameter, with κ10 corresponding to the average bundle width L≈2(πln4)1/2/κ10)13:
Fits of the intensity data, I(q)=|FMT|2 S(q⊥) yielded the hexagonal lattice parameter aH (=4π/[31/2q10]) and ensemble-averaged inner radius <rin>. κ10 was fit independently, while all other κhk fit simultaneously, with κhk approximately twice that of κ10.
Plastic-embedded TEM sample preparation and TEM
Samples for thin sections were centrifuged to a pellet at 9,500g in 37 °C for 30 min. Supernatant was removed and pellet fixed with 2% glutaraldehyde and 4% tannic acid overnight. The pellet was stained with 0.8% OsO4 in PEM50 buffer for 1 h and subsequently rinsed four times with PEM50. Another stain of 1% uranyl acetate stain was applied for 1 h and rinsed with DI water.
Fixed and stained pellets were subsequently dehydrated with 25/50/75/100% solutions of acetone in DI water for 15 min apiece. Samples were embedded in resin, then embedded in spur plastic and incubated overnight, with resin poured into flat embedding moulds and held at 65 °C for 48 h and cooled overnight.
Plastic-embedded samples were then cut to ≈50-nm slices with a microtome (Ted Pella, Redding, CA) and transferred to highly stable Formvar carbon-coated copper EM grids (Ted Pella, Redding, CA). Data were taken using the JEOL 1230 Transmission Electron Microscope.
DIC Samples and DIC
A SensiCam CCD camera (Cooke, Auburn Hills, MI) mounted on a Nikon Diaphot 300 with Xenon lamp (Sutter Instrument, Novato, CA) was used for optical microscopy measurements. Samples were centrifuged to a pellet at 9,500g for 30 min in 37 °C and placed between two microscopic slides sealed by wax. Images were taken while slides were kept at 37 °C by heat stage.
Calculation of R G
Previously, the radius of gyration (RG) of WT Tau and truncated Tau domains in solution were found20,37 to scale as an unstructured protein with random-coil behaviour, with RG=0.1927N0.588 nm, which was subsequently used to calculate the RG of the PD and truncated Tau used in our experiments.
The authors declare that the data supporting the findings of this study are available within the article, and its Supplementary Information files, or from the authors on reasonable request.
How to cite this article: Chung, P.J. et al. Tau mediates microtubule bundle architectures mimicking fascicles of microtubules found in the axon initial segment. Nat. Commun. 7:12278 doi: 10.1038/ncomms12278 (2016).
We are grateful to Michael Cates for enlightening discussions on the energy minimum associated with the widely spaced regime. Research supported by the US Department of Energy (DOE), Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under award number DE-FG02–06ER46314 (self-assembly and force measurements in filamentous protein systems), the US National Science Foundation under award number DMR-1401784 (protein phase behaviour), and the US National Institutes of Health under award numbers R01-NS13560 and R01-NS35010 (tubulin purification and protein Tau isoform purification from plasmid preparations). M.C.C. was supported by National Research Foundation of Korea grants 2011-0031931 and 2014-R1A1A2A16055715. The X-ray diffraction work was carried out at the Stanford Synchrotron Radiation Lightsource, a Directorate of SLAC National Accelerator Laboratory and an Office of Science User Facility operated for the US DOE Office of Science by Stanford University. Experimental data collected in this study are available in body of the paper or as Supplementary Materials.
Supplementary Figure 1
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