Evidence for two growth steps in microtubule polymerization

For microtubule assembly, the data reported here support an initial nucleation phase followed by a growth or elongation phase. The nucleation phase was not detected kinetically. Evidence for this step was given by the existence of the critical concentration and the dependence of the number of microtubules on oligomer concentration.Kinetic evidence indicated the existence of two consecutive steps in the growth phase of microtubules. The fast process increased and the slow one decreased with the concentration of microtubule protein. Similar kinetics were found upon recombination of tubulin oligomer and dimer which had been resolved by agarose chromatography. The fast process increased with oligomer and decreased with dimer concentration while the slow one depended positively on dimer concentration. Microtubules were formed when the oligomeric fraction only was employed. In contrast, under identical conditions, no microtubule formation was detected turbidimetrically or by electron microscopy from dimer alone. When dimer caused elongation of seed tubules, there was only one growth step with a rate constant of the same order of magnitude as the slow process for the other experiments.     

Magnesium ion effects on microtubule nucleation in vitro

Much interest has currently been attached to the length distribution of microtubules polymerized in vitro and the related question of their possible 'dynamic instability'. Fundamental to this question is the mechanism of microtubule nucleation, which controls the rates of assembly and disassembly of microtubule protein in vitro. These kinetics are affected by a number of factors, including both the guanine nucleotides, GTP and GDP, and magnesium ion. Mg2+ exerts complex effects, as indicated by the existence of an optimal Mg2+ concentration for the maximum assembly rate of microtubule protein, and we investigate these effects in this report. At [Mg2+] greater than 0.5 mM, the characteristic lag-phase is substantially increased and the rate of assembly is greatly reduced without affecting the critical concentration significantly. We show that increasing [Mg2+] has two effects on the assembly process: nucleation is less efficient and the intrinsic rate constant for the elongation reaction is reduced. Lowering [Mg2+] (less than 0.5 mM) also inhibits nucleation. These effects of varying [Mg2+] can be explained predominantly in terms of enhanced stability of the microtubule-associated protein-containing oligomeric species present in the microtubule protein preparation. [Mg2+] is thus found to be a further important factor in microtubule nucleation, and hence, in determining length distributions in assembling microtubules.     

Microtubule oscillations. Role of nucleation and microtubule number concentration

Microtubules are capable of performing synchronized oscillations of assembly and disassembly which has been explained by reaction mechanisms involving tubulin subunits, oligomers, microtubules, and GTP. Here we address the question of how microtubule nucleation or their number concentration affects the oscillations. Assembly itself requires a critical protein concentration (Cc), but oscillations require in addition a critical microtubule number concentration (CMT). In spontaneous assembly this can be achieved with protein concentrations Cos well above the critical concentration Cc because this enhances the efficiency of nucleation. Seeding with microtubules can either generate oscillations or suppress them, depending on how the seeds alter the effective microtubule number concentration. The relative influence of microtubule number and total protein concentrations can be varied by the rate at which assembly conditions are induced (e.g. by a temperature rise): Fast T-jumps induce oscillations because of efficient nucleation, slow ones do not. Oscillations become damped for several reasons. One is the consumption of GTP, the second is a decrease in microtubule number, and the third is that the ratio of microtubules in the two phases (growth-competent and shrinkage-competent) approach a steady state value. This ratio can be perturbed, and the oscillations restarted, by a cold shock, addition of seeds, addition of GTP, or fragmentation. Each of these is equivalent to a change in the effective microtubule number concentration.     

Calcium-independent, pH-regulated effects of S-100 proteins on assembly-disassembly of brain microtubule protein in vitro

At alkaline pH, Ca2+ is no longer required for S-100 proteins to inhibit the assembly and to promote the disassembly of brain microtubules in vitro, though the presence of Ca2+ significantly favors the S-100 effects. These effects are inversely related to the microtubule protein concentration and directly related to the S-100 concentration and the pH. Ca2+-independent, pH-regulated inhibition of assembly of phosphocellulose-purified tubulin by S-100 is also described. The microtubule disassembling effect of S-100 is additive to that of alkali (used to raise the pH), and S-100 further disassembles microtubules after alkalinization. Thus the larger inhibitory effect of S-100 on microtubule assembly at alkaline versus acid pH depends on both a decrease in the assembly rate and an increase in the disassembly rate. Together with previous data on this topic, the present findings indicate that S-100 proteins act on microtubule protein in vitro primarily by binding to tubulin, this event being Ca2+-regulated at a given pH, and pH-regulated at a given free Ca2+ concentration.     

Double and single exponential kinetics of microtubule assembly in vitro

The kinetics of the microtubule protein assembly were studied in Mes buffer, pH 6.6, at 28 degrees C. The assembly under above conditions follow a kinetic expression containing two exponential terms. The observed two rate constants depend on protein concentration, and are on the order of 10(-2) sec-1 and 10(-3) sec-1. When CaCl2 is added to the system in low concentration, the kinetic expression becomes single exponential. The observed rate constant is independent of protein concentration and its value is 5 X 10(-3) sec-1. It is concluded that the double exponential kinetics correspond to favorable assembly conditions, probably to a high extent of nucleation, whereas the single exponential kinetics correspond to favorable assembly conditions, probably to a high extent of nucleation, whereas the single exponential kinetics is a slower process which occur under hindered assembly conditions.     

A quantitative analysis of microtubule elongation

Methods have been developed for differentially inhibiting microtubule nucleation and elongation in vitro. By use of polyanions, assembly- competent tubulin solutions of several milligrams/milliliter can be prepared which do not exhibit appreciable spontaneous assembly during the time-course of an experiment. Microtubule elongation can be initiated by the addition of known numbers of microtubule fragments. A detailed analysis of the resulting process demonstrates that: (a) rings are not obligatory intermediates in the nucleation sequence, and neither rings nor protofilament sheets are obligatory intermediates in the elongation reaction. (b) The end of an elongating microtubule often has a short region of open protofilament sheet or "C-microtubule" similar to that observed in vivo. (c) The development of turbidity follows a simple exponential approach to an equilibrium value. (d) The final equilibrium values are independent of the number of added nucleating fragments, while the initial growth rates and half-times to reach equilibrium are dependent on the number of added nuclei. (e) The final lengths of the microtubules at equilibrium are inversely proportional to the number of added fragments. (f) The equilibrium constants are independent of microtubule length. (g) The number of assembly and disassembly sites per microtubule is not a function of microtubule length. (h) The forward rate constants, the final polymer concentrations, and growth rates of microtubules are dependent upon the concentration of polyanion present. These results are strongly supportive of the idea that microtubule assembly is a "condensation- polymerization" and provide basic information on the kinetics and length distributions of the elongation in vitro.     

Role of tubulin-associated proteins in microtubule nucleation and elongation

Previous experiments have shown that a fraction of microtubule-associated proteins is essential for the self-assembly of microtubules in vitro. When tubulin was titrated with increasing concentrations of these non-tubulin accessory factors, both the rate and extent of polymerization increased in a sigmoidal as opposed to a stoichiometric fashion. The non-tubulin proteins promoted the nucleation of microtubules as determined from the analysis of the kinetics of tubulin selfassembly and the examination of the microtubule length distribution following polymerization. The effect of the non-tubulin factors on microtubule elongation was determined by kinetic experiments in which purified tubulin subunits were added to microtubule seeds and the initial rate of polymerization was measured under conditions where spontaneous self-assembly was below detectable levels. In addition, microtubule growth was also observed when isolated flagellar axonemes were incubated with purified tubulin subunits indicating that the non-tubulin factors were not an absolute requirement for elongation. Analysis of the data in terms of the condensation mechanism of microtubule assembly indicated that the non-tubulin proteins stimulated the growth of microtubules not by increasing the rate of polymerization but by decreasing the rate of depolyerization. The mechanism by which these accessory factors promote tubulin assembly may be summarized as follows: under the conditions employed, they are required for tubulin initiation but not for elongation; the factors affect the extent and net rate at which polymer is formed by binding to the polymer, thereby stabilizing the formed microtubules and consequently shifting the equilibrium to favor assembly.     

Combined enhancement of microtubule assembly and glucose metabolism in neuronal systems in vitro: decreased sensitivity to copper toxicity.

Brain cell-free extract greatly stimulates the polymerization rate of purified tubulin with a reduction of the nucleation period and without a significant alteration of the final assembly state. This effect is mimicked by neuroblastoma extract at 10-fold lower extract concentration, but not by excess muscle extract. Copper inhibits microtubule assembly in vitro but in the presence of brain extract the copper effect is suspended. Electron microscopic images showed that intact microtubules are formed and decorated by cytosolic proteins in the absence and presence of copper, while the copper alone induces the formation of S-shaped sheets and oligomeric threads. The flux of triosephosphate formation from glucose is enhanced by microtubules in brain extract, but not in muscle extract. Copper inhibits the glycolytic flux; however, the presence of microtubules not only suspends the inhibition by copper but the activation of glycolysis by microtubules is also preserved. We conclude that the organization of neuronal proteins modifies both the rates of microtubule assembly and glycolysis, and reduces their sensitivities against the inhibition caused by copper.     

Microtubule assembly kinetics. Changes with solution conditions.

The assembly kinetics of microtubule protein are altered by ionic strength, temperature and Mg2+, but not by pH. High ionic strength (I0.2), low temperature (T less than 30 degrees C) and elevated Mg2+ (greater than or equal to 1.2 mM) induce a transition from biphasic to monophasic kinetics. Comparison of the activation energy obtained for the fast biphasic step at low ionic strength (I0.069) shows excellent agreement with the values obtained at high ionic strength, low temperature and elevated Mg2+. From this observation it can be implied that the tubulin-containing reactant of the fast biphasic event is also the species that elongates microtubules during monophasic assembly. Second-order rate constants for biphasic assembly are 3.82(+/- 0.72) x 10(7) M-1.s-1 and 5.19(+/- 1.25) x 10(6) M-1.s-1, and for monophasic assembly the rate constant is 2.12(+/- 0.56) x 10(7) M-1.s-1. The microtubule number concentration is constant during elongation of microtubules for biphasic and monophasic assembly.     

Conformational properties of microtubule protein: Their relation to the self-assembly process in vitro

Near- and far-uv CD spectra of microtubule protein preparations have been examined to study the possible role of protein conformation in relation to the kinetics of the self-assembly of these proteins into microtubules in vitro. Although tubulin can form conformations with high helical content under apolar solution conditions, this transformation is apparently not involved in self-assembly. There is no major perturbation of tubulin near-uv CD by reagents and solution conditions favoring assembly. Thus, in these preparations, tubulin, as dimer and as oligomer with MAPs, is effectively in the conformation in which it undergoes self-assembly. This conclusion is consistent with a hybrid model of assembly of microtubule protein involving direct incorporation of oligomeric species as an alternative to the condensation polymerization of tubulin dimer as the exclusive assembly mechanism.     

The sequence of a region of bacteriophage phiX174 DNA coding for parts of genes A and B

The kinetics of microtubule assembly were investigated by monitoring changes in turbidity which result from the scattering of incident light by the polymer. These studies indicated that assembly occurred by a pathway involving a nucleation phase, followed by an elongation phase as evidenced by a lag in the polymerization kinetics, followed by a psuedo-first-order exponential increase in turbidity. Analytical ultracentrifugation of solutions polymerized to equilibrium showed that 6 S tubulin was the only species detectable in equilibrium with microtubules. Investigation of the elongation reaction in mixtures of 6 S tubulin and microtubule fragments demonstrated that: (1) the net rate of assembly was the sum of the rates of polymerization and depolymerization; (2) the rate of polymerization was proportional to the product of the microtubule number concentration and the 6 S tubulin concentration; and (3) the rate of depolymerization was proportional to the number concentration of microtubules. These results demonstrate that microtubule assembly occurs by a condensation polymerization mechanism consisting of distinct nucleation and elongation steps. Microtubules are initiated in a series of protein association reactions in a pathway that has not been fully elucidated. Elongation proceeds by the consecutive association of 6 S tubulin subunits onto the ends of existing microtubules. Similarly, depolymerization occurs by dissociation of 6 S subunits from the ends of microtubules. The rate constants measured for polymerization and depolymerization at 30 °C were 4 × 10⁶m^?1 s^?1 and 7 s^?1, respectively.     

An oscillatory mode for microtubule assembly.

Depending upon the conditions under which polymerization takes place, pure tubulin can assemble into microtubules following either the usual monotonic kinetics or a more complex oscillatory mechanism. When present, these oscillations involve large cyclic changes in the extent of polymer formed before a steady-state is reached. Analysis of the microtubules formed at different times shows that these oscillations involve marked redistribution in both the length and number of microtubules. No significant difference is found between two populations of microtubules corresponding to the same level of assembly, one for which the extent of polymerization will remain stable with time and one for which it will decrease by as much as 90% in the next oscillation. The amplitude of these oscillations is sensitive to changes in the concentrations of protein, nucleotide (GTP, GDP or GMPpNp), magnesium ion or GTP regenerating system. A complete shift from an oscillatory to a monotonic polymerization can be induced by a minor increase in the concentration of free nucleotide, GTP or GDP.     

Interactions of tubulin and microtubule-associated proteins. Conformation and stability of the oligomeric species from glycerol-cycled microtubule protein of bovine brain

1. The conformation of bovine microtubule protein prepared by cycles of assembly and disassembly in the presence of glycerol has been studied by near-u.v. circular dichroism (c.d.) over a range of protein concentrations. The effects on the conformational properties of ionic strength and of a pH range from 6 to 7.5 have been correlated with the known oligomeric composition of microtubule protein preparations, as determined by the sedimentation behaviour of this preparation [Bayley, Charlwood, Clark & Martin (1982) Eur. J. Biochem. 121, 579–585]. 2. The formation of 30S oligomeric ring species, either by decreasing ionic strength at pH6.5 or by changing pH in the presence of 0.1m-NaCl, correlates with a significant change in tubulin c.d. Formation of 18S oligomer by changing pH at ionic strength 0.2 produced no comparable effect. The c.d. of tubulin dimer itself is not affected by ionic strength and pH over the same range. 3. The results are interpreted as a small conformational adjustment between tubulin and specific microtubule-associated proteins on forming 30S oligomeric species, due to interaction with the high-molecular-weight-group proteins. The possible significance of this is discussed with respect to microtubule assembly in vitro. 4. By using this conformational parameter, together with equilibrium and kinetic light-scattering studies, the sensitivity of glycerol-cycled microtubule protein to dilution is shown to be strongly pH-dependent, the oligomers being much more stable at pH6.4 than at pH6.9. 5. Oligomeric complexes of tubulin with microtubule-associated proteins show marked stability under conditions similar to those for efficient microtubule assembly in vitro. Oligomeric material therefore must be incorporated directly during assembly in vitro from microtubule protein.     

Purification of microtubule protein from beef brain and comparison of the assembly requirements for neuronal microtubules isolated from beef and hog.

The polymerization of microtubule protein from beef brain is inefficient under the same conditions which are optimal for the assembly of microtubules isolated from hog brain (0.1 m piperazine-N,N′-bis(2-ethanesulfonic acid) buffer at pH 6.94). In examining the conditions required for microtubule polymerization in both beef brain extract and purified microtuble protein, it was determined that the pH optimum was pH 6.62 or 0.3 pH unit lower than the reported optimum for hog. Other assembly requirements (ionic strength, Mg²⁺ and nucleotide concentration, temperature) remained essentially the same as for hog. By separating and recombining fractions of tubulin and nontubulin components prepared from beef and hog microtubule protein, the requirement for the reduction in pH was found to be due to the tubulin and not to the microtubule-associated proteins. It was also determined that the efficiency of beef tubulin assembly, as measured by the yield of microtubule polymer, decreased rapidly after slaughter with a half-time of 19 min. Furthermore, when the overall efficiency of polymerization was reduced, the extent of assembly at each cycle of purification by disassembly and assembly was also observed to be depressed. The variations in the requirements for neuronal tubulin assembly in two closely related mammals suggest that the conditions required for assembly of microtubule protein in other tissues and cell types may also be different.     

Differentiation between dynamic instability and end-to-end annealing models for length changes of steady-state microtubules

Short microtubules can be formed by shearing a sample at polymerization steady state of microtubules formed by glycerol-induced assembly of pure tubulin dimer. Such short microtubules show a rapid increase in mean length. The rate of this increase is too fast to be accounted for by statistical redistribution of subunits between microtubules. We propose that the fast length changes are a result of the end-to-end annealing of microtubules demonstrated by Rothwell et al. (Rothwell, S. W., Grasser, W. A., and Murphy, D. B. (1986) J. Cell Biol. 102, 619-627). This proposal has been tested by measuring the rate of annealing of free microtubules to Tetrahymena axonemes under conditions identical to those used for the lengthening of sheared microtubules. That free microtubules anneal to axonemal microtubules is indicated by the following observations. Axonemes elongate at both ends in the presence of steady state microtubules, as predicted for a symmetrical annealing process; under conditions where the microtubule number concentration is greater than that for axonemes, the initial rate of axoneme elongation is more rapid with a low concentration of long microtubules at steady state than with a high number concentration of short microtubules at steady state. These observations are inconsistent with the predictions of a model based on microtubule dynamic instability (Mitchison, T., and Kirschner, M. (1984) Nature 312, 237-242). The annealing rate observed with axonemes can account for the rate of elongation of sheared steady state microtubules.     

Stability of microtubule protein over the pH range: 6.9--9.5.

The pH stability range of a microtubule protein preparation has been investigated between 6.9 and 9.5. Microtubule protein was exposed to various pH values in this range and then returned to pH 6.9. The appearance of microtubules as verified by electron microscopy and sedimentation analysis under polymerizing conditions was taken as an indication of a conformationally stable protein. Between pH 6.9 and pH 8.0 the loss in the ability to form microtubules was found to be reversible, at pH 8.2 it was partially reversible, above pH 8.2 it was irreversible. Tubulin and the microtubule-associated protein fraction were separately exposed to high pH. It was observed that tubulin exposed to high pH can still form microtubules in the presence of untreated microtubule-associated protein. On the other hand, microtubule-associated protein exposed to high pH could not initiate microtubule assembly with untreated tubulin. It was concluded from these observations that the loss in the ability of a microtubule protein preparation to assemble at high pH is due to a change in the microtubule-associated protein fraction and that tubulin is conformationally stable even after exposure to pH 9.5.     

A reassessment of the factors affecting microtubule assembly and disassembly in vitro

Current models of microtubule assembly from pure tubulin involve a nucleation phase followed by microtubule elongation at a constant polymer number. Both the rate of microtubule nucleation and elongation are thought to be tightly influenced by the free GTP-tubulin concentration, in a law of mass action-dependent manner. However, these basic hypotheses have remained largely untested due to a lack of data reporting actual measurements of the microtubule length and number concentration during microtubule assembly.Here, we performed simultaneous measurements of the polymeric tubulin concentration, of the free GTP-tubulin concentration, and of the microtubule length and number concentration in both polymerizing and depolymerizing conditions. In agreement with previous work we find that the microtubule nucleation rate is strongly dependent on the initial GTP-tubulin concentration. But we find that microtubule nucleation persists during microtubule elongation. At any given initial tubulin-GTP concentration, the microtubule nucleation rate remains constant during polymer assembly, despite the wide variation in free GTP-tubulin concentration. We also find a remarkable constancy of the rate of microtubule elongation during assembly. Apparently, the rate of microtubule elongation is intrinsic to the polymers, insensitive to large variations of the free GTP-tubulin concentration. Finally we observe that when, following assembly, microtubules depolymerize below the free GTP-tubulin critical concentration, the rate-limiting factor for disassembly is the frequency of microtubule catastrophe. At all time-points during disassembly, the microtubule catastrophe frequency is independent of the free GTP-tubulin concentration but, as the microtubule nucleation rate, is strongly dependent on the initial free GTP-tubulin concentration. We conclude that the dynamics of both microtubule assembly and disassembly depend largely on factors other than the free GTP-tubulin concentration. We propose that intrinsic structural factors and endogenous regulators, whose concentration varies with the initial conditions, are also major determinants of these dynamics.     

Tubulin-nucleotide interactions. Effects of removal of exchangeable guanine nucleotide on protein conformation and microtubule assembly.

The removal of tightly bound GDP from the exchangeable nucleotide-binding site of tubulin has been performed with alkaline phosphatase under conditions which essentially retain the assembly properties of the protein. When microtubule protein is treated with alkaline phosphatase, nucleotide is selectively removed from tubulin dimer rather than from MAP (microtubule-associated protein)-containing oligomeric species. Tubulin devoid of E-site (the exchangeable nucleotide-binding site of the tubulin dimer) nucleotide shows enhanced proteolytic susceptibility of the beta-subunit to thermolysin and decreased protein stability, consistent with nucleotide removal causing changes in protein tertiary structure. Pyrophosphate ion (3 mM) is able to promote formation of normal microtubules in the complete absence of GTP by incubation at 37 degrees C either with nucleotide-depleted microtubule protein or with nucleotide-depleted tubulin dimer to which MAPs have been added. The resulting microtubules contain up to 80% of tubulin lacking E-site nucleotide. In addition to its effects on nucleation, pyrophosphate competes weakly with GDP bound at the E-site. It is deduced that binding of pyrophosphate at a vacant E-site can promote microtubule assembly. The minimum structural requirement for ligands to induce tubulin assembly apparently involves charge neutralization at the E-site by bidentate ligation, which stabilizes protein domains in a favourable orientation for promoting the supramolecular protein-protein interactions involved in microtubule formation.     

Microtubule elongation and guanosine 5'-triphosphate hydrolysis. Role of guanine nucleotides in microtubule dynamics

The tubulin concentration dependence of the rates of microtubule elongation and accompanying GTP hydrolysis has been studied over a large range of tubulin concentration. GTP hydrolysis followed the elongation process closely at low tubulin concentration and became gradually uncoupled at higher concentrations, reaching a limiting rate of 35-40 s-1. The kinetic parameters for microtubule growth were different at low and high tubulin concentrations. Elongation of microtubules has also been studied in solutions containing GDP and GTP in variable proportions. Only traces of GTP present in GDP were necessary to confer a high stability (low critical concentration) to microtubules. Pure GDP-tubulin was found unable to elongate microtubules in the absence of GTP but blocked microtubule ends with an equilibrium dissociation constant of 5-6 microM. These data were accounted for by a model within which, in the presence of GTP-tubulin at high concentration, microtubules grow at a fast rate with a large GTP cap; the GTP cap may be quite short in the region of the critical concentration; microtubule stability is linked to the strong interaction between GTP and GDP subunits at the elongating site; dimeric GDP-tubulin does not have the appropriate conformation to undergo reversible polymerization. These results are discussed with regard to possible role of GDP and GTP and of GTP hydrolysis in microtubule dynamics.