Kinetics and mechanism of microtubule length changes by dynamic instability

Microtubules at steady state were found to undergo dramatic changes in length, with only very little change in number concentration and mean length. This result is accounted for by a mechanism in which microtubules are capped at ends by tubulin-GTP subunits; loss of the tubulin-GTP cap at one end results in disassembly of all the tubulin-GDP subunits, so that the medial edge of the distal tubulin-GTP cap is exposed; the exposed tubulin-GTP cap is sufficiently stable, so that microtubule regrowth from the cap rather than loss of the cap occurs. This mechanism predicts that a bell-shaped length distribution of sheared microtubules will be transiently bimodal, with peaks of short and moderate length microtubules, in rearranging to an exponential length distribution. We have observed the predicted transient bimodal length distribution experimentally and in a Monte Carlo simulation. Dynamic instability has recently been accounted for by assuming that microtubule ends are capped with only a single tubulin-GTP subunit at each end of the five helices that serve as elongation sites. Such a minimal tubulin-GTP cap is apparently ruled out by our observations, which require that the remnant tubulin-GTP cap generated from disassembly be able to serve as nucleating site; we do not expect that a stable nucleating site can be generated from five tubulin-GTP subunits, oriented as the five helices that serve as elongation sites.     

Infection with replication-deficient adenovirus induces changes in the dynamic instability of host cell microtubules

Adenovirus translocation to the nucleus occurs through a well characterized minus end-directed transport along microtubules. Here, we show that the adenovirus infection process has a significant impact on the stability and dynamic behavior of host cell microtubules. Adenovirus-infected cells had elevated levels of acetylated and detyrosinated microtubules compared with uninfected cells. The accumulation of modified microtubules within adenovirus-infected cells required active RhoA. Adenovirus-induced changes in microtubule dynamics were characterized at the centrosome and at the cell periphery in living cells. Adenovirus infection resulted in a transient enhancement of centrosomal microtubule nucleation frequency. At the periphery of adenovirus-infected cells, the dynamic instability of microtubules plus ends shifted toward net growth, compared with the nearly balanced growth and shortening observed in uninfected cells. In infected cells, microtubules spent more time in growth, less time in shortening, and underwent catastrophes less frequently compared with those in uninfected cells. Drug-induced inhibition of Rac1 prevented most of these virus-induced shifts in microtubule dynamic instability. These results demonstrate that adenovirus infection induces a significant stabilizing effect on host cell microtubule dynamics, which involve, but are not limited to, the activation of the RhoGTPases RhoA and Rac1.     

Intermediate filaments exchange subunits along their length and elongate by end-to-end annealing

Actin filaments and microtubules lengthen and shorten by addition and loss of subunits at their ends, but it is not known whether this is also true for intermediate filaments. In fact, several studies suggest that in vivo, intermediate filaments may lengthen by end-to-end annealing and that addition and loss of subunits is not confined to the filament ends. To test these hypotheses, we investigated the assembly dynamics of neurofilament and vimentin intermediate filament proteins in cultured cells using cell fusion, photobleaching, and photoactivation strategies in combination with conventional and photoactivatable fluorescent fusion proteins. We show that neurofilaments and vimentin filaments lengthen by end-to-end annealing of assembled filaments. We also show that neurofilaments and vimentin filaments incorporate subunits along their length by intercalation into the filament wall with no preferential addition of subunits to the filament ends, a process which we term intercalary subunit exchange.     

Effects of magnesium on the dynamic instability of individual microtubules

We investigated the effect of magnesium ion (Mg) on the parameters of dynamic instability of individual porcine brain microtubules. Rates of elongation and rapid shortening were measured by using video-enhanced DIC light microscopy and evaluated by using computer-generated plots of microtubule length vs time. Increasing [Mg] from 0.25 to 6 mM increased the second-order association rate constant for elongation about 25% at each end. At plus ends, this resulted in a 1.5-2-fold increase in elongation rates over the tubulin concentrations explored. Rapid shortening rates were more dramatically affected by Mg. As [Mg] was increased from 0.25 to 6 mM, the average rate of rapid shortening increased about 3-fold at plus ends and 4-5-fold at minus ends. The ends had roughly equivalent average rates at low [Mg], of 30-45 microns/min. At any Mg concentration, rates of disassembly varied from one microtubule to another, and often an individual microtubule would exhibit more than one rate during a single shortening phase. Individual rates at 6 mM Mg varied from 12 to 250 microns/min. Over the concentration range explored, Mg affected the frequencies of transition from elongation to shortening and back only at minus ends. Minus ends were relatively stable at low [Mg], having 4 times the frequency of rescue than at high [Mg], and a lower frequency of catastrophe (particularly evident at low tubulin concentrations). Plus ends, surprisingly, were highly unstable at all Mg concentrations investigated, having about the same transition frequencies as did the least stable (high Mg) minus ends. Our results have implications for models of the GTP cap, again emphasizing that GTP caps cannot build up in proportion to elongation rate, and must be constrained to the tips of growing microtubules.     

Intrinsically slow dynamic instability of HeLa cell microtubules in vitro

The dynamic behavior of mammalian microtubules has been extensively studied, both in living cells and with microtubules assembled from purified brain tubulin. To understand the intrinsic dynamic behavior of mammalian nonneural microtubules, we purified tubulin from cultured HeLa cells. We find that HeLa cell microtubules exhibit remarkably slow dynamic instability, spending most of their time in an attenuated state. The tempered dynamics contrast sharply with the dynamics of microtubules prepared from purified bovine brain tubulin under similar conditions. In accord with their minimal dynamic instability, assembled HeLa cell microtubules displayed a slow treadmilling rate and a low guanosine-5'-triphosphate hydrolysis rate at steady state. We find that unlike brain tubulin, which consists of a heterogeneous mixture of beta-tubulin isotypes (beta(II), beta(III), and beta(IV) and a low level of beta(I)), HeLa cell tubulin consists of beta(I) tubulin ( approximately 80%) and a minor amount of beta(IV) tubulin ( approximately 20%). The slow dynamic behavior of HeLa cell microtubules in vitro differs strikingly from the dynamic behavior of microtubules in living cultured mammalian cells, supporting the idea that accessory factors create the robust dynamics that occur in cells.     

Dynamics of microtubules visualized by darkfield microscopy: treadmilling and dynamic instability

Individual microtubules undergoing treadmilling in vitro were visualized by darkfield light microscopy, and the relationship between treadmilling and dynamic instability was studied as a function of microtubule-associated proteins (MAPs). In order to demonstrate treadmilling directly by real-time observation, we constructed three-block microtubules, the center-block of which was decorated with Tetrahymena dynein. The decorated block can easily be distinguished from undecorated blocks in the darkfield microscope because the decorated one appears much thicker. At steady-state conditions, the length of an undecorated block at one end increased and that at another end decreased, while the decorated center-block did not change in its length. The results from these direct observations show that calf brain 3X-microtubules exhibit a treadmilling flux of 0.9 micron/h. Using a similar microscopy technique, we previously demonstrated that phosphocellulose PC-microtubules existed in either the growing or the shortening phase and alternated quite frequently at steady-state conditions (dynamic instability). How does treadmilling relate to dynamic instability? An image recording of individual 3X-microtubules containing MAPs revealed that the microtubules undergo treadmilling and do not exhibit any dynamic instability. This evidence shows that MAPs suppress the dynamic instability of microtubules. That is, treadmilling can take place in the steady state only after microtubules have been stabilized by MAPs.     

Dilution-induced disassembly of microtubules: relation to dynamic instability and the GTP cap

Microtubules were assembled from purified tubulin in the buffer originally used to study dynamic instability (100 mM PIPES, 2 mM EGTA, 1 mM magnesium, 0.2 mM GTP) and then diluted in the same buffer to study the rate of disassembly. Following a 15-fold dilution, microtubule polymer decreased linearly to about 20% of the starting value in 15 sec. We determined the length distribution of microtubules before dilution, and prepared computer simulations of polymer loss for different assumed rates of disassembly. Our experimental data were consistent with a disassembly rate per microtubule of 60 microns/min. This is the total rate of depolymerization for microtubules in the rapid shortening phase, as determined by light microscopy of individual microtubules (Walker et al.: Journal of Cell Biology 107:1437-1448, 1988). We conclude, therefore, that microtubules began rapid shortening at both ends upon dilution. Moreover, since we could detect no lag between dilution and the onset of rapid disassembly, the transition from elongation to rapid shortening apparently occurred within 1 sec following dilution. Assuming that this transition (catastrophe) involves the loss of the GTP cap, and that cap loss is achieved by the sequential dissociation of GTP-tubulin subunits following dilution, we can estimate the maximum size of the cap based on the kinetic data and model interpretation of Walker et al. The cap is probably shorter than 40 and 20 subunits at the plus and minus ends, respectively.     

Modeling the effects of drug binding on the dynamic instability of microtubules

We propose a stochastic model that accounts for the growth, catastrophe and rescue processes of steady-state microtubules assembled from MAP-free tubulin in the possible presence of a microtubule-associated drug. As an example of the latter, we both experimentally and theoretically study the perturbation of microtubule dynamic instability by S-methyl-D-DM1, a synthetic derivative of the microtubule-targeted agent maytansine and a potential anticancer agent. Our model predicts that among the drugs that act locally at the microtubule tip, primary inhibition of the loss of GDP tubulin results in stronger damping of microtubule dynamics than inhibition of GTP tubulin addition. On the other hand, drugs whose action occurs in the interior of the microtubule need to be present in much higher concentrations to have visible effects.     

The dynamic instability of microtubules is not modulated by alpha-tubulin tyrosinylation.

The tyrosinylation of chick brain alpha-tubulin and the effects of the tyrosinylation status on the assembly and dynamic instability of chick brain MAP2:tubulin microtubule protein have been examined. Each of the eight major alpha-isotypes can be tyrosinylated in vitro, irrespective of whether a C-terminal tyrosine is genetically encoded. The extent of tyrosinylation is however limited to congruent to 0.3 mol.mol-1. The tyrosinylation status (0 vs. 0.3 mol.mol-1) has no effect on either the assembly kinetics of chick brain microtubule protein or on the rate of length redistribution following assembly and shearing. It is therefore unlikely that the tyrosinylation status directly affects the intrinsic stability of assembled microtubules since the rate of length redistribution is both a sensitive assay and a function of the kinetic parameters governing dynamic instability.     

A polarised population of dynamic microtubules mediates homeostatic length control in animal cells

Because physical form and function are intimately linked, mechanisms that maintain cell shape and size within strict limits are likely to be important for a wide variety of biological processes. However, while intrinsic controls have been found to contribute to the relatively well-defined shape of bacteria and yeast cells, the extent to which individual cells from a multicellular animal control their plastic form remains unclear. Here, using micropatterned lines to limit cell extension to one dimension, we show that cells spread to a characteristic steady-state length that is independent of cell size, pattern width, and cortical actin. Instead, homeostatic length control on lines depends on a population of dynamic microtubules that lead during cell extension, and that are aligned along the long cell axis as the result of interactions of microtubule plus ends with the lateral cell cortex. Similarly, during the development of the zebrafish neural tube, elongated neuroepithelial cells maintain a relatively well-defined length that is independent of cell size but dependent upon oriented microtubules. A simple, quantitative model of cellular extension driven by microtubules recapitulates cell elongation on lines, the steady-state distribution of microtubules, and cell length homeostasis, and predicts the effects of microtubule inhibitors on cell length. Together this experimental and theoretical analysis suggests that microtubule dynamics impose unexpected limits on cell geometry that enable cells to regulate their length. Since cells are the building blocks and architects of tissue morphogenesis, such intrinsically defined limits may be important for development and homeostasis in multicellular organisms.     

Effect of ATP removal and inorganic phosphate on length redistribution of sheared actin filament populations. Evidence for a mechanism of end-to-end annealing

The effect of inorganic phosphate (Pi) on the depolymerization of F-actin has been measured. Pi inhibits disassembly of pyrene-labelled F-actin at steady-state induced either by dilution, or by shearing, suggesting that Pi decreases the off rate constant, k-, for dissociation. This effect of Pi is maximal at 20 mM, unlike the effect of Pi in reducing the critical concentration at the pointed end (maximal at 2 mM). This difference in concentration dependence for the two effects is interpreted as different affinities of Pi for the barbed and pointed ends, presumably as ADP-Pi-actin species. The contribution of ATP/ADP phase changes at filament ends (i.e. "dynamic instability") to length redistribution in sheared polymer steady-state actin filament populations was determined by (1) converting ATP to ADP in the system to prevent phase changes, or (2) adding 20 mM-Pi to the system to inhibit depolymerization. The observed absence of effect of these treatments on length redistribution excludes all mechanisms which involve phase change-driven disassembly or monomer exchange at filament ends, and appears to constrain the mechanism to one of end-to-end annealing under these conditions.     

A functional link between localized Oskar, dynamic microtubules, and endocytosis

Many cell types including developing oocytes, fibroblasts, epithelia and neurons use mRNA localization as a means to establish polarity. The Drosophila oocyte has served as a useful model in dissecting the mechanism of mRNA localization. The polarity of the oocyte is established by the specific localization of three critical mRNAs-oskar, bicoid and gurken. The localization of these mRNAs requires microtubule integrity, and the activity of microtubule motors. However, the precise organization of the oocyte microtubule cytoskeleton remains an open question. In order to examine the polarity of oocyte microtubules, we visualized the localization of canonical microtubule plus end binding proteins, EB1 and CLIP-190. Both proteins were enriched at the posterior of the oocyte, with additional foci detected within the oocyte cytoplasm and along the cortex. Surprisingly, however, we found that this asymmetric distribution of EB1 and CLIP-190 was not essential for oskar mRNA localization. However, Oskar protein was required for recruiting the plus end binding proteins to the oocyte posterior. Lastly, our results suggest that the enrichment of growing microtubules at the posterior pole functions to promote high levels of endocytosis in this region of the cell. Thus, multiple polarity-determining pathways are functionally linked in the Drosophila oocytes.     

Investigation of conformational changes in yeast enolase using dynamic fluorescence and steady-state quenching measurements

Conformational changes in yeast enolase were investigated using steady state quenching and dynamic (fluorescence decay and fluorescence anisotropy decay) measurements. The tryptophan fluorescence rotational correlation time increases from 24 to 38 ns on subunit association. The acrylamide quenching constant decreases two-fold when the subunits associate. The conformational metal ion effect suggests a more compact molecule. Under conditions of catalysis, the correlation time decreases 25%, though the sedimentation constant does not change (Holleman, 1973). The enzyme may undergo a hinge-bending motion during catalysis.     

The imbalance between dynamic and stable microtubules underlies neurodegeneration induced by 2,5-hexanedione

Exposure to environmental toxins, including hydrocarbon solvents, increases the risk of developing Parkinson's disease. An emergent hypothesis considers microtubule dysfunction as one of the crucial events in triggering neuronal degeneration in Parkinson's disease. Here, we used 2,5-hexanedione (2,5-HD), the toxic metabolite of n-hexane, to analyse the early effects of toxin-induced neurodegeneration on the cytoskeleton in multiple model systems. In PC12 cells differentiated with nerve growth factor for 5 days, we found that 2,5-HD treatment affected all the cytoskeletal components. Moreover, we observed alterations in microtubule distribution and stability, in addition to the imbalance of post-translational modifications of α-tubulin. Similar defects were also found in vivo in 2,5-HD-intoxicated mice. Interestingly, we also found that 2,5-HD exposure induced significant changes in microtubule stability in human skin fibroblasts obtained from Parkinson's disease patients harbouring mutations in PRKN gene, whereas it was ineffective in healthy donor fibroblasts, suggesting that the genetic background may really make the difference in microtubule susceptibility to this environmental Parkinson's disease-related toxin. In conclusion, by showing the imbalance between dynamic and stable microtubules in hydrocarbon-induced parkinsonism, our data support the crucial role of microtubule defects in triggering neurodegeneration.     

Topological thermal instability and length of proteins

We present an analysis of the effects of global topology on the structural stability of folded proteins in thermal equilibrium with a heat bath. For a large class of single domain proteins, we computed the harmonic spectrum within the Gaussian Network Model (GNM) and determined their spectral dimension, a parameter describing the low frequency behavior of the density of modes. We found a surprisingly strong correlation between the spectral dimension and the number of amino acids in the protein. Considering that larger spectral dimension values relate to more topologically compact folded states, our results indicate that, for a given temperature and length of protein, the folded structure corresponds to a less compact folding, one compatible with thermodynamic stability.     

Flexural rigidity of singlet microtubules estimated from statistical analysis of their contour lengths and end-to-end distances

Microtubules in solutions, observed under a dark-field microscope, show incessant Brownian movement such as translational, rotational and flexing motion. A large number of microtubules, spontaneously stuck to the under surface of a coverslip, were photographed and the contour lengths and end-to-end distances of their images were measured. From the statistical analysis of the contour lengths and end-to-end distances, a value for the parameter γ representing the flexibility of singlet microtubules was estimated to γ = (6.8 ± 0.8) · 10^?3μm^?1. From the value of γ, the elastic modulus for bending, ε, and Young's modulus, Y, of singlet microtubules were computed to be ε = ～ 10^?16 dyne·cm² and Y = ～ 10⁹ dyne·cm^?2, respectively. The microscopic elastic constant, k, of bonding between two tubulin monomers neighboring along the singlet microtubule was computed to be k = ～ 10² dyne·cm^?1. A singlet microtubule is an order of magnitude as strong against bending and as weak against stretching as an F-actin filament.     

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.     

Reducing the allowable kinetic space by constructing ensemble of dynamic models with the same steady-state flux

Dynamic models of metabolism are instrumental for gaining insight and predicting possible outcomes of perturbations. Current approaches start from the selection of lumped enzyme kinetics and determine the parameters within a large parametric space. However, kinetic parameters are often unknown and obtaining these parameters requires detailed characterization of enzyme kinetics. In many cases, only steady-state fluxes are measured or estimated, but these data have not been utilized to construct dynamic models. Here, we extend the previously developed Ensemble Modeling methodology by allowing various kinetic rate expressions and employing a more efficient solution method for steady states. We show that anchoring the dynamic models to the same flux reduces the allowable parameter space significantly such that sampling of high dimensional kinetic parameters becomes meaningful. The methodology enables examination of the properties of the model's structure, including multiple steady states. Screening of models based on limited steady-state fluxes or metabolite profiles reduces the parameter space further and the remaining models become increasingly predictive. We use both succinate overproduction and central carbon metabolism in Escherichia coli as examples to demonstrate these results.     

Exploring the gap between dynamic and constraint-based models of metabolism

Systems biology provides new approaches for metabolic engineering through the development of models and methods for simulation and optimization of microbial metabolism. Here we explore the relationship between two modeling frameworks in common use namely, dynamic models with kinetic rate laws and constraint-based flux models. We compare and analyze dynamic and constraint-based formulations of the same model of the central carbon metabolism of Escherichia coli. Our results show that, if unconstrained, the space of steady states described by both formulations is the same. However, the imposition of parameter-range constraints can be mapped into kinetically feasible regions of the solution space for the dynamic formulation that is not readily transferable to the constraint-based formulation. Therefore, with partial kinetic parameter knowledge, dynamic models can be used to generate constraints that reduce the solution space below that identified by constraint-based models, eliminating infeasible solutions and increasing the accuracy of simulation and optimization methods.