Viscoelasticity of Tau Proteins Leads to Strain Rate-Dependent Breaking of?Microtubules during Axonal Stretch Injury: Predictions from a Mathematical Model

The unique viscoelastic nature of axons is thought to underlie selective vulnerability to damage during traumatic brain injury. In particular, dynamic loading of axons has been shown to mechanically break microtubules at the time of injury. However, the mechanism of this rate-dependent response has remained elusive. Here, we present a microstructural model of the axonal cytoskeleton to quantitatively elucidate the interaction between microtubules and tau proteins under mechanical loading. Mirroring the axon ultrastructure, the microtubules were arranged in staggered arrays, cross-linked by tau proteins. We found that the viscoelastic behavior specifically of tau proteins leads to mechanical breaking of microtubules at high strain rates, whereas extension of tau allows for reversible sliding of microtubules without any damage at small strain rates. Based on the stiffness and viscosity of tau proteins inferred from single-molecule force spectroscopy studies, we predict the critical strain rate for microtubule breaking to be in the range 22–44 s⁻¹, in excellent agreement with recent experiments on dynamic loading of micropatterned neuronal cultures. We also identified a characteristic length scale for load transfer that depends on microstructural properties and have derived a phase diagram in the parameter space spanned by loading rate and microtubule length that demarcates those regions where axons can be loaded and unloaded reversibly and those where axons are injured due to breaking of the microtubules.     

Mechanical Effects of Dynamic Binding between Tau Proteins on Microtubules during Axonal Injury

The viscoelastic nature of axons plays a key role in their selective vulnerability to damage in traumatic brain injury (TBI). Experimental studies have shown that although axons can tolerate 100% strain under slow loading rates, even strain as small as 5% can rupture microtubules (MTs) during the fast loading velocities relevant to TBI. Here, we developed a computational model to examine rate-dependent behavior related to dynamic interactions between MTs and the MT-associated protein tau under varying strains and strain rates. In the model, inverted pairs of tau proteins can dynamically cross-link parallel MTs via the respective MT-binding domain of each tau. The model also incorporates realistic thermodynamic breaking and reformation of the bonds between the connected tau proteins as they respond to mechanical stretch. With simulated stretch of the axon, the model shows that despite the highly dynamic nature of binding and unbinding events, under fast loading rates relevant to TBI, large tensile forces can be transmitted to the MTs that can lead to mechanical rupture of the MT cylinder, in agreement with experimental observations and as inferred in human TBI. In contrast, at slow loading rates, the progressive breaking and reformation of the bonds between the tau proteins facilitate the extension of axons up to ∼100% strain without any microstructural damage. The model also predicts that under fast loading rates, individual MTs detach from MT bundles via sequential breaking of the tau-tau bonds. Finally, the model demonstrates that longer MTs are more susceptible to mechanical rupture, whereas short MTs are more prone to detachment from the MT bundle, leading to disintegration of the axonal MT ultrastructure. Notably, the predictions from the model are in excellent agreement with the findings of the recent in vitro mechanical testing of micropatterned neuronal cultures.     

Computational modeling of axonal microtubule bundles under tension

Microtubule bundles cross-linked by tau protein serve a variety of neurological functions including maintaining mechanical integrity of the axon, promoting axonal growth, and facilitating cargo transport. It has been observed that axonal damage in traumatic brain injury leads to bundle disorientation, loss of axonal viability, and cognitive impairment. This study investigates the initial mechanical response of axonal microtubule bundles under uniaxial tension using a discrete bead-spring representation. Mechanisms of failure due to traumatic stretch loading and their impact on the mechanical response and stability are also characterized. This study indicates that cross-linked axonal microtubule bundles in tension display stiffening behavior similar to a power-law relationship from nonaffine network deformations. Stretching of cross-links and microtubule bending were the primary deformation modes at low stresses. Microtubule stretch was negligible up to tensile stresses of ～1 MPa. Bundle failure occurred by failure of cross-links leading to pull-out of microtubules and loss of bundle integrity. This may explain the elongation, undulation, and delayed elasticity of axons following traumatic stretch loading. More extensively cross-linked bundles withstood higher tensile stresses before failing. The bundle mechanical behavior uncovered by these computational techniques should guide future experiments on stretch-injured axons.     

Torsional Behavior of Axonal Microtubule Bundles

Axonal microtubule (MT) bundles crosslinked by microtubule-associated protein (MAP) tau are responsible for vital biological functions such as maintaining mechanical integrity and shape of the axon as well as facilitating axonal transport. Breaking and twisting of MTs have been previously observed in damaged undulated axons. Such breaking and twisting of MTs is suggested to cause axonal swellings that lead to axonal degeneration, which is known as “diffuse axonal injury”. In particular, overstretching and torsion of axons can potentially damage the axonal cytoskeleton. Following our previous studies on mechanical response of axonal MT bundles under uniaxial tension and compression, this work seeks to characterize the mechanical behavior of MT bundles under pure torsion as well as a combination of torsional and tensile loads using a coarse-grained computational model. In the case of pure torsion, a competition between MAP tau tensile and MT bending energies is observed. After three turns, a transition occurs in the mechanical behavior of the bundle that is characterized by its diameter shrinkage. Furthermore, crosslink spacing is shown to considerably influence the mechanical response, with larger MAP tau spacing resulting in a higher rate of turns. Therefore, MAP tau crosslinking of MT filaments protects the bundle from excessive deformation. Simultaneous application of torsion and tension on MT bundles is shown to accelerate bundle failure, compared to pure tension experiments. MAP tau proteins fail in clusters of 10–100 elements located at the discontinuities or the ends of MT filaments. This failure occurs in a stepwise fashion, implying gradual accumulation of elastic tensile energy in crosslinks followed by rupture. Failure of large groups of interconnecting MAP tau proteins leads to detachment of MT filaments from the bundle near discontinuities. This study highlights the importance of torsional loading in axonal damage after traumatic brain injury.     

Basic Fibroblast Growth Factor Elicits Formation of Interstitial Axonal Branches via Enhanced Severing of Microtubules

The formation of interstitial axonal branches involves the severing of microtubules at sites where new branches form. Here we wished to ascertain whether basic fibroblast growth factor (bFGF) enhances axonal branching through alterations in proteins involved in the severing of microtubules. We found that treatment of cultured hippocampal neurons with bFGF heightens expression of both katanin and spastin, which are proteins that sever microtubules in the axon. In addition, treatment with bFGF enhances phosphorylation of tau at sites expected to cause it to dissociate from microtubules. This is important because tau regulates the access of katanin to the microtubule. In live-cell imaging experiments, axons of neurons treated with bFGF displayed greater numbers of dynamic free ends of microtubules, as well as greater numbers of short mobile microtubules. Entirely similar enhancement of axonal branching, short microtubule transport, and frequency of microtubule ends was observed when spastin was overexpressed in the neurons. Depletion of either katanin or spastin with siRNA diminished but did not eliminate the enhancement in branching elicited by bFGF. Collectively, these results indicate that bFGF enhances axonal branch formation by augmenting the severing of microtubules through both a spastin-based mode and a katanin-based mode.     

Mechanical properties of brain tubulin and microtubules

We measured the elasticity and viscosity of brain tubulin solutions under various conditions with a cone and plate rheometer using both oscillatory and steady shearing modes. Microtubules composed of purified tubulin, purified tubulin with taxol and 3x cycled microtubule protein from pig, cow, and chicken behaved as mechanically indistinguishable viscoelastic materials. Microtubules composed of pure tubulin and heat stable microtubule-associated proteins were also similar but did not recover their mechanical properties after shearing like other samples, even after 60 min. All of the other microtubule samples were more rigid after flow orientation, suggesting that the mechanical properties of anisotropic arrays of microtubules may be substantially greater than those of randomly arranged microtubules. These experiments confirm that MAPs do not cross link microtubules. Surprisingly, under conditions where microtubule assembly is strongly inhibited (either 5 degrees or at 37 degrees C with colchicine or Ca++) tubulin was mechanically indistinguishable from microtubules at 10-20 microM concentration. By electron microscopy and ultracentrifugation these samples were devoid of microtubules or other obvious structures. However, these mechanical data are strong evidence that tubulin will spontaneously assemble into alternate structures (aggregates) in nonpolymerizing conditions. Because unpolymerized tubulin is found in significant quantities in the cytoplasm, it may contribute significantly to the viscoelastic properties of cytoplasm, especially at low deformation rates.     

Simulated Cytoskeletal Collapse via Tau Degradation

We present a coarse-grained two dimensional mechanical model for the microtubule-tau bundles in neuronal axons in which we remove taus, as can happen in various neurodegenerative conditions such as Alzheimers disease, tauopathies, and chronic traumatic encephalopathy. Our simplified model includes (i) taus modeled as entropic springs between microtubules, (ii) removal of taus from the bundles due to phosphorylation, and (iii) a possible depletion force between microtubules due to these dissociated phosphorylated taus. We equilibrate upon tau removal using steepest descent relaxation. In the absence of the depletion force, the transverse rigidity to radial compression of the bundles falls to zero at about 60% tau occupancy, in agreement with standard percolation theory results. However, with the attractive depletion force, spring removal leads to a first order collapse of the bundles over a wide range of tau occupancies for physiologically realizable conditions. While our simplest calculations assume a constant concentration of microtubule intercalants to mediate the depletion force, including a dependence that is linear in the detached taus yields the same collapse. Applying percolation theory to removal of taus at microtubule tips, which are likely to be the protective sites against dynamic instability, we argue that the microtubule instability can only obtain at low tau occupancy, from 0.06–0.30 depending upon the tau coordination at the microtubule tips. Hence, the collapse we discover is likely to be more robust over a wide range of tau occupancies than the dynamic instability. We suggest in vitro tests of our predicted collapse.     

Dysfunction of microtubule-associated proteins of MAP2/tau family in Prion disease

The aggregation of PrP^Sc is thought to be crucial for the neuropathology of prion diseases. A growing body of evidence demonstrates that the perturbation of the microtubule network contributes to PrP^Sc-mediated neurodegeneration. Microtubules are a component of the cytoskeleton and play a central role in organelle transport, axonal elongation and cellular architecture in neurons. The polymerization, stabilization, arrangement of microtubules can be modulated by interactions with a series of microtubule-associated proteins (MAPs). Recent studies have proposed the abnormal alterations of two major microtubule-associated proteins, tau and MAP2, in the brain tissues of naturally occurred and experimental human and animal prion diseases. Increased total tau protein and hyperphosphorylation of tau at multiple residues are observed at the terminal stage of prion disease. The abnormal aggregation of tau protein disturbs its binding ability to microtubules and affects the microtubule dynamic. Significantly downregulated MAP2 is detected in the brain tissues of scrapie-infected hamsters and PrP106–126 treated cells, which corresponds well with the remarkably low levels of tubulin. In conclusion, dysfunction of MAP2/tau family leads to disruption of microtubule structure and impairment of axonal transport, and eventually triggers apoptosis in neurons, which becomes an essential pathway for prion to induce the neuropathology.     

Role of MAP1B in axonal retrograde transport of mitochondria

The MAPs (microtubule-associated proteins) MAP1B and tau are well known for binding to microtubules and stabilizing these structures. An additional role for MAPs has emerged recently where they appear to participate in the regulation of transport of cargos on the microtubules found in axons. In this role, tau has been associated with the regulation of anterograde axonal transport. We now report that MAP1B is associated with the regulation of retrograde axonal transport of mitochondria. This finding potentially provides precise control of axonal transport by MAPs at several levels: controlling the anterograde or retrograde direction of transport depending on the type of MAP involved, controlling the speed of transport and controlling the stability of the microtubule tracks upon which transport occurs.     

It cuts two ways: microtubule loss during Alzheimer disease

EMBO J 32: 2920–2937 10.1038/emboj.2013.207; published online September242013Microtubule loss from axons and dendrites is a key contributor to nervous system degeneration during Alzheimer disease. Previous evidence suggested a simple pathway by which tau dissociation from microtubules in the axon allows excess severing of microtubules by katanin. Now, new evidence has emerged for a more complex pathway by which abnormal tau invasion into dendrites, triggered by Aβ oligomers, results in excess severing of microtubules by spastin.Alzheimer disease (AD) is a member of a category of neurodegenerative disorders called tauopathies (Wang and Liu, 2008). These are diseases of the nervous system in which tau becomes abnormally phosphorylated, and thereby detaches from microtubules. As the microtubules lose tau, they diminish in number and density, and this loss of microtubule mass negatively impacts the capacity of the neuron to maintain axonal transport and synaptic connections. Terms such as disintegrate or ‘fall apart'' are often used to describe the effect on the microtubules as they lose tau, but to date there has been very little information on how this happens. There is no mechanistic evidence to support the view that the microtubules become less stable and simply disassemble by their normal dynamic properties.One possibility is that tau normally protects microtubules from being destroyed by various proteins in the axon that would otherwise cut them into pieces or in some other way break them down. This presumably reflects a physiological mechanism wherein the regulation of tau dissociation from the microtubule via signalling pathways controls when and where microtubule breakage normally occurs. When a pathological condition causes tau to detach from microtubules, they become extremely sensitive to such factors. In addition, there is strong evidence that the abnormal tau, whether soluble or filamentous, can elicit toxic gain-of-function effects on the axon (Wang and Liu, 2008).To make matters even more complex, AD is not a pure tauopathy. Beta amyloid (Aβ) accumulates abnormally in the brain during AD, and this prompts tau to become hyperphosphorylated and lose association with microtubules. However, the Aβ can also elicit microtubule loss, independent of tau dissociation from the microtubules. In AD, there is also a loss of microtubules from dendrites, and this introduces an additional degree of complexity. Tau is normally less enriched in dendrites than axons. In AD, tau invades dendrites abnormally through deregulation of its normal sorting mechanism, and this somehow leads to microtubule loss from dendrites (Zempel et al, 2010).Microtubule loss is a common end point of multiple pathways, some involving loss of tau function, others involving gain-of-function effects of abnormal tau, and still others working through tau-dependent Aβ toxicity. All of this is not to say that the effects on microtubules are the only reason or even the principal explanation for axonal degeneration in AD, but the loss of microtubules is an important contributor to nervous system degeneration. Preventing or reversing the effects on microtubules could help stave off degeneration and hence provide patients with additional years of cognitive health and better quality of life.Microtubule assembly and disassembly occur from the ends of a microtubule, mainly (and often exclusively) at the plus end of the microtubule in living cells. Proteins that regulate microtubule stability affect the rate of these dynamics at microtubule ends. In recent years, a great deal of attention has focused on a category of proteins, termed microtubule-severing proteins. These proteins are enzymes that yank at the microtubule anywhere along its length to pull out a tubulin subunit, and thereby ‘cut'' the microtubule by causing it to break into pieces (Roll-Mecak and Vale, 2008). If the microtubule is sufficiently stable in the region of the break, the parent microtubule is cut into two shorter microtubules that persist, with minimal disassembly of either of the two pieces. If a microtubule is severed in its more labile region, the breakage could cause a great deal of disassembly. If the tubulin being yanked is situated at one of the ends of a microtubule, the result would be a shortening of the microtubule from that end; that is, disassembly. Thus, microtubule severing in the axon can certainly lead to microtubule loss, either by cutting the polymer all the way to subunits, inducing disassembly directly from microtubule ends or promoting disassembly as a secondary effect to the cutting.To date, the AAA enzymes katanin and spastin are the best studied of the microtubule-severing proteins (Yu et al, 2008). Spastin was originally identified as the product of the gene whose mutations are the chief cause of hereditary spastic paraplegia. Curiously, neurons express levels of spastin and katanin that are theoretically high enough to completely sever all of the microtubules in the neuron to subunits (Solowska et al, 2008), and yet this does not happen. Various regulatory mechanisms presumably keep the activities of the severing proteins in check. One of these mechanisms, in the case of katanin, is microtubule-bound tau, which protects the microtubule from being accessed by katanin (Qiang et al, 2006).Could microtubule loss in AD be due, at least in part, to excess microtubule severing due to deregulation of microtubule-severing proteins? We have posited that heightened severing of the microtubules by katanin, as the microtubules lose association with tau, is a contributing factor to the degradation of microtubules in the axons of AD patients (Sudo and Baas, 2011). A role for spastin in this pathway is questionable, because tau does not appear to protect microtubules against spastin as effectively as it does against katanin (Qiang et al, 2006). However, we now know that spastin is far from irrelevant to AD, as an exciting new article from the Mandelkow and Dawson laboratories implicates spastin in an entirely different pathway for microtubule loss in AD (Zempel et al, 2013). Whereas the katanin pathway is more relevant to axons, this new spastin pathway is more relevant to dendrites.In this new work, Zempel et al (2013) exposed mature primary neurons to oligomers of Aβ and observed microtubule breakdown in dendrites that had been invaded by tau. They found that the missorting of tau leads to an elevation of TTLL6 (Tubulin-Tyrosine-Ligase-Like-6) in dendrites, and this results in a marked increase in the polyglutamylation status of the microtubules. Because spastin has a strong preference for polyglutamylated microtubules, the microtubules become more sensitive to spastin-induced severing. Exactly why katanin is not a factor remains unclear, as polyglutamylation renders microtubules more sensitive to both of the severing proteins, not just spastin (Lacroix et al, 2010). Perhaps some of the tau that invades the dendrite is able to bind to microtubules and protect them from katanin, or perhaps katanin is less potent in dendrites because their microtubules are poorly acetylated, as katanin prefers acetylated microtubules to unacetylated ones (Sudo and Baas, 2011). Whatever the case, these new studies suggest that spastin, a protein whose mutations cause an entirely different neurodegenerative disease, is also a major factor in AD.What are the implications of these findings for AD treatment? In recent years, there have been encouraging results on rodent models for AD, in which behavioural improvement and enhanced neuronal vitality were observed when the animals were treated with drugs that stabilize microtubules against disassembly (Zhang et al, 2012). Such drugs are currently in clinical trials for AD (Barten et al, 2012). This strategy is based on the presumption that the microtubule loss that occurs in AD is due to destabilization of the microtubules. However, the results discussed here suggest that the primary cause of the microtubule loss could be something quite different, namely excess severing of microtubules. In this regard, it is relevant that both katanin and spastin seem to have a preference for severing stable microtubules (Lacroix et al, 2010; Sudo and Baas, 2011). Therefore, while treatment with a microtubule-stabilizing drug would mitigate disassembly that occurs as an aftereffect of microtubule severing, the severing events themselves would likely be increased (Figure 1). Heightened microtubule severing in axons and dendrites, even if the total levels of microtubule mass are preserved, could result in a gradual shift from a normal distribution of long and short microtubules to a predominance of microtubules too short to support sustained excursions of organelle transport. Long microtubules are also necessary as compression-bearing struts that prevent axons and dendrites from collapsing on themselves. We suspect that appropriate treatment regimes can be devised to prevent such dire consequences from happening, but we would advocate for the development of new drugs that inhibit microtubule-severing proteins. Such drugs may prove to be a better approach (on their own or in combination with a stabilizing drug) for preserving the fidelity of axonal and dendritic microtubules in AD patients. Given that the structure of the severing proteins is known, it may be straightforward to develop inhibitors, especially to their ATPase domains.Open in a separate windowFigure 1Microtubules in axons and dendrites consist of a stable region towards the minus end of the microtubule and a labile region towards the plus end, as well as a pool of free tubulin subunits. Microtubule severing is a normal event in the neuron, when tightly regulated. Abnormal (deregulated) microtubule severing is posited to account for microtubule loss in AD. Severing in the stable region of the microtubule would create two new microtubules, with fairly minimal disassembly of either one. Severing in the labile region of the microtubule would result in notably more disassembly. Severing at the end of the microtubule would result in disassembly. Because known microtubule-severing proteins favour the stable region of the microtubule, treatment of AD with a microtubule-stabilizing drug may mitigate disassembly that occurs as an aftereffect of the severing, but the severing events themselves would likely increase.     

MAP2 and tau bind longitudinally along the outer ridges of microtubule protofilaments

MAP2 and tau exhibit microtubule-stabilizing activities that are implicated in the development and maintenance of neuronal axons and dendrites. The proteins share a homologous COOH-terminal domain, composed of three or four microtubule binding repeats separated by inter-repeats (IRs). To investigate how MAP2 and tau stabilize microtubules, we calculated 3D maps of microtubules fully decorated with MAP2c or tau using cryo-EM and helical image analysis. Comparing these maps with an undecorated microtubule map revealed additional densities along protofilament ridges on the microtubule exterior, indicating that MAP2c and tau form an ordered structure when they bind microtubules. Localization of undecagold attached to the second IR of MAP2c showed that IRs also lie along the ridges, not between protofilaments. The densities attributable to the microtubule-associated proteins lie in close proximity to helices 11 and 12 and the COOH terminus of tubulin. Our data further suggest that the evolutionarily maintained differences observed in the repeat domain may be important for the specific targeting of different repeats to either alpha or beta tubulin. These results provide strong evidence suggesting that MAP2c and tau stabilize microtubules by binding along individual protofilaments, possibly by bridging the tubulin interfaces.     

Tau proteins: the molecular structure and mode of binding on microtubules

Tau is a family of closely related proteins (55,000-62,000 mol wt) which are contained in the nerve cells and copolymerize with tubulin to induce the formation of microtubules in vitro. All information so far has indicated that tau is closely apposed to the microtubule lattice, and there was no indication of domains projecting from the microtubule polymer lattice. We have studied the molecular structure of the tau factor and its mode of binding on microtubules using the quick-freeze, deep-etch method (QF.DE) and low angle rotary shadowing technique. Phosphocellulose column-purified tubulin from porcine brain was polymerized with tau and the centrifuged pellets were processed by QF.DE. We observed periodic armlike elements (18.7 +/- 4.8 nm long) projecting from the microtubule surface. Most of the projections appeared to cross-link adjacent microtubules. We measured the longitudinal periodicity of tau projections on the microtubules and found it to match the 6-dimer pattern better than the 12-dimer pattern. The stoichiometry of tau versus tubulin in preparations of tau saturated microtubules was 1:approximately 5.0 (molar ratio). Tau molecules adsorbed on mica took on rodlike forms (56.1 +/- 14.1 nm long). Although both tau and MAP1 are contained in axons, competitive binding studies demonstrated that the binding sites of tau and MAP1A on the microtubule surfaces are most distinct, although they may partially overlap.     

Effects of brain microtubule-associated proteins on microtubule dynamics and the nucleating activity of centrosomes

In this paper, we report on the effect of brain microtubule-associated proteins (MAPs) on the dynamic instability of microtubules as well as on the nucleation activity of purified centrosomes. Under our experimental conditions, tau and MAP2 have similar effects on microtubule nucleation and dynamic instability. Tau increases the apparent elongation rate of microtubules in proportion to its molar ratio to tubulin, and we present evidence indicating that this is due to a reduction of microtubule instability rather than to an increase of the on rate of tubulin subunits at the end of growing microtubules. Increasing the molar ratio of tau over tubulin leads also to an increase in the average number of microtubules nucleated per centrosome. This number remains constant with time. This suggests that the number of centrosome-nucleated microtubules at steady state can be determined by factors that are not necessarily irreversibly bound to centrosomes but, rather, affect the dynamic properties of microtubules.     

The microtubule-severing proteins spastin and katanin participate differently in the formation of axonal branches

Neurons express two different microtubule-severing proteins, namely P60-katanin and spastin. Here, we performed studies on cultured neurons to ascertain whether these two proteins participate differently in axonal branch formation. P60-katanin is more highly expressed in the neuron, but spastin is more concentrated at sites of branch formation. Overexpression of spastin dramatically enhances the formation of branches, whereas overexpression of P60-katanin does not. The excess spastin results in large numbers of short microtubules, whereas the excess P60-katanin results in short microtubules intermingled with longer microtubules. We hypothesized that these different microtubule-severing patterns may be due to the presence of molecules such as tau on the microtubules that more strongly shield them from being severed by P60-katanin than by spastin. Consistent with this hypothesis, we found that axons depleted of tau show a greater propensity to branch, and that this is true whether or not the axons are also depleted of spastin. We propose that there are two modes by which microtubule severing is orchestrated during axonal branch formation, one based on the local concentration of spastin at branch sites and the other based on local detachment from microtubules of molecules such as tau that regulate the severing properties of P60-katanin.     

Highly processive motility is not a general feature of the kinesins

Evidence is presented that the kinesin-related ncd protein is not as processive as kinesin. In low surface density motility experiments, a dimeric ncd fusion protein behaved mechanistically more similar to non-processive myosins than to the highly processive kinesin. First, there was a critical microtubule length for motility; only microtubules longer than this critical length moved in low density ncd surfaces, which suggested that multiple ncd proteins must cooperate to move microtubules in the surface assay. Under similar conditions, native kinesin demonstrated no critical microtubule length, consistent with the behavior of a highly processive motor. Second, addition of methylcellulose to decrease microtubule diffusion decreased the critical microtubule length for motility. Also, the rates of microtubule motility were microtubule length dependent in methylcellulose; short microtubules, that interacted with fewer ncd proteins, moved more slowly than long microtubules that interacted with more ncd proteins. In contrast, short microtubules, that interacted with one or a few kinesin proteins, moved on average slightly faster than long microtubules that interacted with multiple kinesins. We conclude that a degree of processivity as high as that of kinesin, where a single dimer can move over distances on the order of one micrometer, may not be a general mechanistic feature of the kinesin superfamily. Received: 16 September 1997 / Accepted: 4 November 1997     

Geometrical nonlinear elasticity of axon under tension: A coarse-grained computational study

Axon bundles cross-linked by microtubule (MT) associate proteins and bounded by a shell skeleton are critical for normal function of neurons. Understanding effects of the complexly geometrical parameters on their mechanical properties can help gain a biomechanical perspective on the neurological functions of axons and thus brain disorders caused by the structural failure of axons. Here, the tensile mechanical properties of MT bundles cross-linked by tau proteins are investigated by systematically tuning MT length, axonal cross-section radius, and tau protein spacing in a bead-spring coarse-grained model. Our results indicate that the stress-strain curves of axons can be divided into two regimes, a nonlinear elastic regime dominated by rigid-body like inter-MT sliding, and a linear elastic regime dominated by affine deformation of both tau proteins and MTs. From the energetic analyses, first, the tau proteins dominate the mechanical performance of axons under tension. In the nonlinear regime, tau proteins undergo a rigid-body like rotating motion rather than elongating, whereas in the nonlinear elastic regime, tau proteins undergo a flexible elongating deformation along the MT axis. Second, as the average spacing between adjacent tau proteins along the MT axial direction increases from 25 to 125 nm, the Young’s modulus of axon experiences a linear decrease whereas with the average space varying from 125 to 175 nm, and later reaches a plateau value with a stable fluctuation. Third, the increment of the cross-section radius of the MT bundle leads to a decrease in Young’s modulus of axon, which is possibly attributed to the decrease in MT numbers per cross section. Overall, our research findings offer a new perspective into understanding the effects of geometrical parameters on the mechanics of MT bundles as well as serving as a theoretical basis for the development of artificial MT complexes potentially toward medical applications.     

Dynamic instability and motile events of native microtubules from squid axoplasm

Native microtubules from extruded axoplasm of squid giant axons were used as a paradigm to characterize the motion of organelles along free microtubules and to study the dynamics of microtubule length changes. The motion of large round organelles was visualized by AVEC-DIC microscopy and analyzed at a temporal resolution of 10 frames per second. The movements were smooth and showed no major changes in velocity or direction. During translocation, the organelles paused very rarely. Superimposed on the rather constant mean velocity was a velocity fluctuation, which indicated that the organelles are subject to considerable thermal motion during translocation. Evidence for a regular low-frequency oscillation was not found. The thermal motion was anisotropic such that axial motion was less restricted than lateral motion. We conclude that the crossbridge connecting the moving organelle to the microtubule has a flexible region that behaves like a hinge, which permits preferential movement in the direction parallel to the microtubule. The dynamic changes in length of native microtubules were studied at a temporal resolution of 1 Hz. About 98% of the native microtubules maintained their length ("stable" microtubules), while 2% showed phases of growing and/or shrinking typical for dynamic instability ("dynamic" microtubules). Gliding and organelle motion were not influenced by dynamic length changes. Transitions between growing and shrinking phases were low-frequency events (1-10 minutes per cycle). However, a new type of microtubule length fluctuation, which occurred at a high frequency (a few seconds per cycle), was detected. The length changes were in the 1-3 micron range. The latter events were very prominent at the (+) ends. It appears that the native axonal microtubules are much more stable than the purified microtubules and the microtubules of cultured cells that have been studied thus far. Potential mechanisms accounting for the three states of microtubule stability are discussed. These studies show that the native microtubules from squid giant axons are a very useful paradigm for studying microtubule-related motility events and microtubule dynamics.     

MAP2c, but not tau, binds and bundles F-actin via its microtubule binding domain

BACKGROUND: MAP2 and tau are abundant microtubule-associated proteins (MAPs) in neurons. The development of neuronal dendrites and axons requires a dynamic interaction between microtubules and actin filaments. MAPs represent good candidates to mediate such interactions. Although MAP2c and tau have similar, well-characterized microtubule binding activities, their actin interaction is poorly understood. RESULTS: Here, we show by using a cosedimentation assay that MAP2c binds F-actin. Upon actin binding, MAP2c organizes F-actin into closely packed actin bundles. Moreover, we show by using a deletion approach that MAP2c's microtubule binding domain (MTBD) is both necessary and sufficient for both F-actin binding and bundling activities. Surprisingly, even though the MAP2 and tau MTBDs share high sequence homology and possess similar microtubule binding activities, tau is unable to bind or bundle F-actin. Furthermore, experiments with chimeric proteins demonstrate that the actin binding activity fully correlates with the ability to promote neurite initiation in neuroblastoma cells. CONCLUSIONS: These results provide the first demonstration that the MAP2c and tau MTBD domains exhibit distinct properties, diverging in actin binding and neurite initiation activities. These results implicate a novel actin function for MAP2c in neuronal morphogenesis and furthermore suggest that actin interactions could contribute to functional differences between MAP2 and tau in neurons.     

Modulation of the dynamic instability of tubulin assembly by the microtubule-associated protein tau.

Microtubule-associated proteins (MAP), such as tau, modulate the extent and rate of microtubule assembly and play an essential role in morphogenetic processes, such as axonal growth. We have examined the mechanism by which tau affects microtubule polymerization by examining the kinetics of microtubule assembly and disassembly through direct observation of microtubules using dark-field microscopy. Tau increases the rate of polymerization, decreases the rate of transit into the shrinking phase (catastrophe), and inhibits the rate of depolymerization. Tau strongly suppresses the catastrophe rate, and its ability to do so is independent of its ability to increase the elongation rate. Thus, tau generates a partially stable but still dynamic state in microtubules. This state is perturbed by phosphorylation by MAP2 kinase, which affects all three activities by lowering the affinity of tau for the microtubule lattice.     

Dysfunction of microtubule-associated proteins of MAP2/tau family in Prion disease

The aggregation of PrP^Sc is thought to be crucial for the neuropathology of prion diseases. A growing body of evidence demonstrates that the perturbation of the microtubule network contributes to PrP^Sc-mediated neurodegeneration. Microtubules are a component of the cytoskeleton and play a central role in organelle transport, axonal elongation and cellular architecture in neurons. The polymerization, stabilization, arrangement of microtubules can be modulated by interactions with a series of microtubule-associated proteins (MAPs). Recent studies have proposed the abnormal alterations of two major microtubule-associated proteins, tau and MAP2, in the brain tissues of naturally occurred and experimental human and animal prion diseases. Increased total tau protein and hyperphosphorylation of tau at multiple residues are observed at the terminal stage of prion disease. The abnormal aggregation of tau protein disturbs its binding ability to microtubules and affects the microtubule dynamic. Significantly downregulated MAP2 is detected in the brain tissues of scrapie-infected hamsters and PrP106–126 treated cells, which corresponds well with the remarkably low levels of tubulin. In conclusion, dysfunction of MAP2/tau family leads to disruption of microtubule structure and impairment of axonal transport, and eventually triggers apoptosis in neurons, which becomes an essential pathway for prion to induce the neuropathology.