Solitary wave dynamics as a mechanism for explaining the internal motion during microtubule growth

Microtubules, which play many diverse and important roles in biological systems, are usually made up of 13 nearly axial protofilaments formed from individual tubulin molecules. In this paper, a nonlinear dynamic model has been developed to elucidate the mechanism of the internal motion occurring during the assembly of microtubules. The results derived from the model indicate that such internal motion is associated with a solitary wave, or kink, excited by the energy released from the hydrolysis of GTP ? GDP in microtubular solutions. As the kink moves forward, the individual tubulin molecules involved in the kink undergo motions that can be likened to the dislocation of atoms within the crystal lattice. Thus, the dynamic instability of microtubules may be characterized by a series of dislocation motions of the tubulin molecules. An energy estimate shows that a kink in the system possesses about 0.36–0.44 eV, which is quite close to but smaller than the 0.49 eV of energy released from the hydrolysis of GTP. Therefore, the relevant energy derived from our model is fully consistent with experimental observations; this finding also suggests that the hydrolysis energy may be responsible for exciting the solitary wave, or kink, leading to tubulin dislocation in microtubules. Our model, and its intrinsic properties, i.e., dynamic nonlinearity, thermodynamic irreversibility, as well as an energy input from a sustained source, implies that the growth of microtubules is a typical dissipative process and that their structure in vivo is typical of dissipative structures. © 1994 John Wiley & Sons, Inc.     

HURP wraps microtubule ends with an additional tubulin sheet that has a novel conformation of tubulin

HURP is a newly discovered microtubule-associated protein (MAP) required for correct spindle formation both in vitro and in vivo. HURP protein is highly charged with few predicted secondary and tertiary folding domains. Here we explore the effect of HURP on pure tubulin, and describe its ability to induce a new conformation of tubulin sheets that wrap around the ends of intact microtubules, thereby forming two concentric tubes. The inner tube is a normal microtubule, while the outer one is a sheet composed of tubulin protofilaments that wind around the inner tube with a 42.5° inclination. We used cryo-electron microscopy and unidirectional surface shadowing to elucidate the structure and conformation of HURP-induced tubulin sheets and their interaction with the inner microtubule. These studies clarified that HURP-induced sheets are composed of anti-parallel protofilaments exhibiting P2 symmetry. HURP is a unique MAP that not only stabilizes and bundles microtubules, but also polymerizes free tubulin into a new configuration.     

Post-translational tubulin modifications in spermatogeneous cells of the pteridophyteCeratopteris richardii

Summary Acetylation and tyrosinization are post-translational modifications of tubulin generally associated, respectively, with highly stable or dynamic microtubule arrays in animals and protists. Little is known of these modifications in land plants, however. We examined the presence and distribution of post-translational tubulin modifications in developing spermatogenous cells of the pteridophyteCeratopteris richardii by immunofluorescence and immunogold, utilizing antibodies specific for acetylated and tyrosinated tubulin. Acetylated tubulin is found in mid to late stage spermatogenous cells in stable microtubule configurations: the spline, flagella, and basal bodies. Tyrosinated tubulin, a modification associated with dynamic microtubule arrays, is also present in these structures as well as all other microtubules in the cell. The lamellar strip of the multilayered structure, a body previously described as tubulin-containing, was not labelled by any of the tubulin antibodies or antiserum. Treatment of cultures with the microtubule stabilizer taxol results in the appearance of new arrays of microtubules, including bundles in the cytoplasm. Only those new taxol-induced microtubule arrays present in mid to late stage cells (i.e., those with other normally acetylated tubulin arrays) have acetylated domains. Younger spermatogenous cells had similar microtubule bundles but no acetylated tubulin. Tyrosinated tubulin was found in all these taxol-stabilized arrays. These data indicate that, although these pteridophyte cells have the ability to acetylate tubulin, that this ability is limited to stages after the final spermatogenous cell mitosis and is limited to the highly stable spline and flagella microtubules.Abbreviations LS lamellar strip of multilayered structure - MTOC microtubule organizing center     

Immunoelectron microscopical detection of tubulins during spermiogenesis in phytophagous bugs (Hemiptera: Pentatomidae)

Summary

Ultrastructural and immunocytochemical studies were carried out in the tail region of spermatids and spermatozoa of the phytophagous bugs, Acrosternum aseadum and Euchistus heros. The axoneme presented a 9+9+2 microtubule pattern and bridges occurred between axonemal microtubules 1, 5, and mitochondrial derivatives. Two paracrystalline structures, embedded in an amorphous matrix, were observed in the mitochondrial derivatives. The axonemal microtubules contained alpha, acetylated and tyrosinated tubulin. Cytoplasmic microtubules contained alpha, beta and gamma tubulin. Moreover, the gamma tubulin was detected near the electron dense rod, an element associated with the centriole, suggesting that this structure may be a microtubule organizing center.     

New insights into microtubule structure and function from the atomic model of tubulin

The structure of tubulin has recently been solved by electron crystallography of zinc-induced tubulin sheets. Because tubulin was studied in a polymerized state, the model contains information on the interactions between monomers that give rise to the αβ dimer as well as contacts between adjacent dimers that result in the structure of the protofilament. The model includes the binding site of taxol, an anti-cancer agent that acts by stabilizing microtubules. The present tubulin model gives the first structural framework for understanding microtubule polymerization and its regulation by nucleotides and anti-mitotic drugs at the molecular level. Received: 15 December 1997 / Revised version: 25 January 1998 / Accepted: 2 February 1998     

The core of the mammalian centriole contains γ-tubulin

Background: The microtubule network, upon which transport occurs in higher cells, is formed by the polymerization of α and β tubulin. The third major tubulin isoform, γ tubulin, is believed to serve a role in organizing this network by nucleating microtubule growth on microtubule-organizing centers, such as the centrosome. Research in vitro has shown that γ tubulin must be restored to stripped centrioles to regenerate the centrosomal functions of duplication and microtubule nucleation.Results We have re-examined the localization of γ tubulin in isolated and in situ mammalian centrosomes using a novel immunocytochemical technique that preserves antigenicity and morphology while allowing increased accessibility. As expected, α tubulin was localized in cytoplasmic and centriolar barrel microtubules and in the associated pericentriolar material. Foci of γ tubulin were observed at the periphery of the organized pericentriolar material, as reported previously, often near the termini of microtubules. A further and major location of γ tubulin was a structure within the proximal end of the centriolar barrel. The distributions were complementary, in that α tubulin was excluded from the core of the centriole, and γ tubulin was excluded from the microtubule barrel.Conclusion We have shown that γ tubulin is localized both in the pericentriolar material and in the core of the mammalian centriole. This result suggests that γ tubulin has a role in the centriolar duplication process, perhaps as a template for growth of the centriolar microtubules, in addition to its established role in the nucleation of astral microtubules.     

High-frequency electric field and radiation characteristics of cellular microtubule network

Microtubules are important structures in the cytoskeleton, which organizes the cell. Since microtubules are electrically polar, certain microtubule normal vibration modes efficiently generate oscillating electric field. This oscillating field may be important for the intracellular organization and intercellular interaction. There are experiments which indicate electrodynamic activity of variety of cells in the frequency region from kHz to GHz, expecting the microtubules to be the source of this activity. In this paper, results from the calculation of intensity of electric field and of radiated electromagnetic power from the whole cellular microtubule network are presented. The subunits of microtubule (tubulin heterodimers) are approximated by elementary electric dipoles. Mechanical oscillation of microtubule is represented by the spatial function which modulates the dipole moment of subunits. The field around oscillating microtubules is calculated as a vector superposition of contributions from all modulated elementary electric dipoles which comprise the cellular microtubule network. The electromagnetic radiation and field characteristics of the whole cellular microtubule network have not been theoretically analyzed before. For the perspective experimental studies, the results indicate that macroscopic detection system (antenna) is not suitable for measurement of cellular electrodynamic activity in the radiofrequency region since the radiation rate from single cells is very low (lower than 10?2? W). Low noise nanoscopic detection methods with high spatial resolution which enable measurement in the cell vicinity are desirable in order to measure cellular electrodynamic activity reliably.     

Microtubule assembly of isotypically purified tubulin and its mixtures

Numerous isotypes of the structural protein tubulin have now been characterized in various organisms and their expression offers a plausible explanation for observed differences affecting microtubule function in vivo. While this is an attractive hypothesis, there are only a handful of studies demonstrating a direct influence of tubulin isotype composition on the dynamic properties of microtubules. Here, we present the results of experimental assays on the assembly of microtubules from bovine brain tubulin using purified isotypes at various controlled relative concentrations. A novel data analysis is developed using recursive maps which are shown to be related to the master equation formalism. We have found striking similarities between the three isotypes of bovine tubulin studied in regard to their dynamic instability properties, except for subtle differences in their catastrophe frequencies. When mixtures of tubulin isotypes are analyzed, their nonlinear concentration dependence is modeled and interpreted in terms of lower affinities of tubulin dimers belonging to the same isotype than those that represent different isotypes indicating hitherto unsuspected influences of tubulin dimers on each other within a microtubule. Finally, we investigate the fluctuations in microtubule assembly and disassembly rates and conclude that the inherent rate variability may signify differences in the guanosine-5′-triphosphate composition of the growing and shortening microtubule tips. It is the main objective of this article to develop a quantitative model of tubulin polymerization for individual isotypes and their mixtures. The possible biological significance of the observed differences is addressed.     

Estimation of the diffusion-limited rate of microtubule assembly.

Microtubule assembly is a complex process with individual microtubules alternating stochastically between extended periods of assembly and disassembly, a phenomenon known as dynamic instability. Since the discovery of dynamic instability, molecular models of assembly have generally assumed that tubulin incorporation into the microtubule lattice is primarily reaction-limited. Recently this assumption has been challenged and the importance of diffusion in microtubule assembly dynamics asserted on the basis of scaling arguments, with tubulin gradients predicted to extend over length scales exceeding a cell diameter, approximately 50 microns. To assess whether individual microtubules in vivo assemble at diffusion-limited rates and to predict the theoretical upper limit on the assembly rate, a steady-state mean-field model for the concentration of tubulin about a growing microtubule tip was developed. Using published parameter values for microtubule assembly in vivo (growth rate = 7 microns/min, diffusivity = 6 x 10(-12) m2/s, tubulin concentration = 10 microM), the model predicted that the tubulin concentration at the microtubule tip was approximately 89% of the concentration far from the tip, indicating that microtubule self-assembly is not diffusion-limited. Furthermore, the gradients extended less than approximately 50 nm (the equivalent of about two microtubule diameters) from the microtubule tip, a distance much less than a cell diameter. In addition, a general relation was developed to predict the diffusion-limited assembly rate from the diffusivity and bulk tubulin concentration. Using this relation, it was estimated that the maximum theoretical assembly rate is approximately 65 microns/min, above which tubulin can no longer diffuse rapidly enough to support faster growth.     

Diffusion inside microtubules

Recent high-resolution analysis of tubulin's structure has led to the prediction that the taxol binding site and a tubulin acetylation site are on the interior of microtubules, suggesting that diffusion inside microtubules is potentially a biologically and clinically important process. To assess the rates of transport inside microtubules, predictions of diffusion time scales and concentration profiles were made using a model for diffusion with parameters estimated from experiments reported in the literature. Three specific cases were considered: 1) diffusion of αβ-tubulin dimer, 2) diffusion/binding of taxol, and 3) diffusion/binding of an antibody specific for an epitope on the microtubule's interior surface. In the first case tubulin is predicted to require only ∼1 min to reach half the equilibrium concentration in the center of a 40 μm microtubule open at both ends. This relatively rapid transport occurs because of a lack of appreciable affinity between tubulin and the microtubule inner surface and occurs in spite of a three-fold reduction in diffusivity due to hindrance. By contrast the transport of taxol is much slower, requiring days (at nm concentrations) to reach half the equilibrium concentration in the center of a 40 μm microtubule having both ends open. This slow transport is the result of fast, reversible taxol binding to the microtubule's interior surface and the large capacity for taxol (∼12 mm based on interior volume of the microtubule). An antibody directed toward an epitope in the microtubule's interior is predicted to require years to approach equilibrium. These results are difficult to reconcile with previous experimental results where substantial taxol and antibody binding is achieved in minutes, suggesting that these binding sites are on the microtubule exterior. The slow transport rates also suggest that microtubules might be able to serve as vehicles for controlled-release of drugs. Received: 2 March 1998 / Revised version: 3 May 1998 / Accepted: 3 May 1998     

Biochemical and electron microscopy analysis of the endotoxin binding to microtubulesin vitro

The mechanisms involved in cellular activation and damage by bacterial endotoxins are not completely defined. In particular, there is little information about possible intracellular targets of endotoxins. Recently, the participation of a microtubule associated protein in endotoxin actions on macrophages has been suggested. In the present work, we have studied the effect ofE. coli lipopolysaccharide on the polymerization of microtubular proteinin vitro. Electrophoretic analysis of the polymerization mixtures showed that the endotoxin inhibited the polymerization when present at high concentrations. At lower concentrations, LPS selectively displaced the microtubule associated protein MAP-2 from the polymerized microtubules. Electron microscopy showed that LPS binds to microtubules of tubulin+MAPs and to microtubules of purified tubulin (without MAPs) polymerized with taxol. Gel filtration experiments confirmed the binding of LPS to tubulin, and by ligand blot assays an interaction LPS — MAP-2 was detected. The ability of LPS to interact with microtubular proteins suggests a possible participation of microtubules on the cellular effects of endotoxins.     

γ‐Tubulin complex in Trypanosoma brucei: molecular composition,subunit interdependence and requirement for axonemal central pair protein assembly

γ‐Tubulin complex constitutes a key component of the microtubule‐organizing center and nucleates microtubule assembly. This complex differs in complexity in different organisms: the budding yeast contains the γ‐tubulin small complex (γTuSC) composed of γ‐tubulin, gamma‐tubulin complex protein (GCP)2 and GCP3, whereas animals contain the γ‐tubulin ring complex (γTuRC) composed of γTuSC and three additional proteins, GCP4, GCP5 and GCP6. In Trypanosoma brucei, the composition of the γ‐tubulin complex remains elusive, and it is not known whether it also regulates assembly of the subpellicular microtubules and the spindle microtubules. Here we report that the γ‐tubulin complex in T. brucei is composed of γ‐tubulin and three GCP proteins, GCP2‐GCP4, and is primarily localized in the basal body throughout the cell cycle. Depletion of GCP2 and GCP3, but not GCP4, disrupted the axonemal central pair microtubules, but not the subpellicular microtubules and the spindle microtubules. Furthermore, we showed that the γTuSC is required for assembly of two central pair proteins and that γTuSC subunits are mutually required for stability. Together, these results identified an unusual γ‐tubulin complex in T. brucei, uncovered an essential role of γTuSC in central pair protein assembly, and demonstrated the interdependence of individual γTuSC components for maintaining a stable complex.     

Analysis of the migration behaviour of single microtubules in electric fields

By video contrast microscopy, individual microtubules formed from pure tubulin in the presence of taxol were studied in constant electric fields. At nearly physiological conditions, i.e., in a buffer at pH 6.8 and 120 mM ionic strength, suspended microtubules moved towards the anode with an electrophoretic mobility of approximately 2.6 x 10(-4) cm(2)/V s, corresponding to an unbalanced negative charge of 0.19 electron charges per tubulin dimer. Strikingly, this value is lower by a factor of at least 50 than that calculated from crystallographic data for the non-assembled tubulin dimer. Moreover, the taxol-stabilized microtubules had an isoelectric point of about pH 4.2 which is significantly lower than that known for the tubulin monomers. This indicates that microtubule formation is accompanied by substantial changes of charge distribution within the tubulin subunits. Constant electric fields were shown to affect also the orientation of microtubules gliding across a kinesin-coated surface at pH 6.8.     

Structural and functional differences between porcine brain and budding yeast microtubules

The cytoskeleton of eukaryotic cells relies on microtubules to perform many essential functions. We have previously shown that, in spite of the overall conservation in sequence and structure of tubulin subunits across species, there are differences between mammalian and budding yeast microtubules with likely functional consequences for the cell. Here we expand our structural and function comparison of yeast and porcine microtubules to show different distribution of protofilament number in microtubules assembled in vitro from these two species. The different geometry at lateral contacts between protofilaments is likely due to a more polar interface in yeast. We also find that yeast tubulin forms longer and less curved oligomers in solution, suggesting stronger tubulin:tubulin interactions along the protofilament. Finally, we observed species-specific plus-end tracking activity for EB proteins: yeast Bim1 tracked yeast but not mammalian MTs, and human EB1 tracked mammalian but not yeast MTs. These findings further demonstrate that subtle sequence differences in tubulin sequence can have significant structural and functional consequences in microtubule structure and behavior.     

Purification of tau,a microtubule-associated protein that induces assembly of microtubules from purified tubulin

Tau, a microtubule-associated protein which copurifies with tubulin through successive cycles of polymerization and depolymerization, has been isolated from tubulin by phosphocellulose chromatography and purified to near homogeneity. The purified protein is seen to migrate during electrophoresis on acrylamide gels as four closely spaced bands of apparent molecular weights between 55,000 and 62,000. Specific activity for induction of microtubule formation from purified tubulin has been assayed by quantitative electron microscopy and is seen to be enhanced three- to fourfold in the purified tau when compared with the unfractionated microtubule-associated proteins. Nearly 90% of available tubulin at 1 mg/ml is found to be polymerizable into microtubules with elevated levels of tau. Moreover, the critical concentration for polymerization of the reconstituted tau + tubulin system is seen to be a function of tau concentration and may be lowered to as little as 30 μg of tubulin per ml. Under depolymerizing conditions, 50% of the tubulin at only 1 mg/ml may be driven into ring structures. A separate purification procedure for isolation of tau directly from cell extracts has been developed and data from this purification suggest that tau is present in the extract in roughly the same proportion to tubulin as is found in microtubules purified by cycles of assembly and disassembly. Tau is sufficient for both nucleation and elongation of microtubules from purified tubulin and hence the reconstituted tau + tubulin system defines a complete microtubule assembly system under standard buffer conditions. In an accompanying paper (Cleveland et al., 1977) the physical and chemical properties of tau are discussed and a model by which tau may function in microtubule assembly is presented.     

Tubulin subunit sorting: Analysis of the mechanisms involved in the segregation of unique tubulin isotypes within microtubule copolymers

Summary Vertebrate cells contain biochemical and genetic isotypes of tubulin which are expressed in unique combinations in different tissues and cell types. To determine if mixtures of tubulin isotypes assemblein vitro to form different classes of microtubules, we analyzed the composition of microtubule copolymers assembled from mixtures of chicken brain and erythrocyte tubulin. During microtubule elongation brain tubulin assembled onto the ends of microtubules faster than erythrocyte tubulin, resulting in copolymers with continually changing ratios of isotypes along their lengths. Unlike examples of microtubule assembly where the rate of polymerization depends on the association rate constant (k⁺) and the subunit concentration, the rate and extent of sorting in copolymers appear to depend on the dissociation rate constant (k^–), which governs the rate at which subunits are released from tubulin oligomers and microtubules and thereby made available for reassembly into copolymers. The type of microtubule seed used to initiate elongation was also found to influence the composition of copolymers, indicating that polymerization favors association of subunits of the same isotype.     

Effects of tubulin acetylation and tubulin acetyltransferase binding on microtubule structure

Tubulin undergoes posttranslational modifications proposed to specify microtubule subpopulations for particular functions. Most of these modifications occur on the C-termini of tubulin and may directly affect the binding of microtubule-associated proteins (MAPs) or motors. Acetylation of Lys-40 on α-tubulin is unique in that it is located on the luminal surface of microtubules, away from the interaction sites of most MAPs and motors. We investigate whether acetylation alters the architecture of microtubules or the conformation of tubulin, using cryo–electron microscopy (cryo-EM). No significant changes are observed based on protofilament distributions or microtubule helical lattice parameters. Furthermore, no clear differences in tubulin structure are detected between cryo-EM reconstructions of maximally deacetylated or acetylated microtubules. Our results indicate that the effect of acetylation must be highly localized and affect interaction with proteins that bind directly to the lumen of the microtubule. We also investigate the interaction of the tubulin acetyltransferase, αTAT1, with microtubules and find that αTAT1 is able to interact with the outside of the microtubule, at least partly through the tubulin C-termini. Binding to the outside surface of the microtubule could facilitate access of αTAT1 to its luminal site of action if microtubules undergo lateral opening between protofilaments.     

Microtubule structure at 18 A resolution

A model for the structure of microtubules at a resolution of 18 A (1 A = 0.1 nm) is described, based on X-ray fiber diffraction data from hydrated reassembled calf brain microtubules. The model was derived by an iterative solvent flattening refinement procedure, with initial phases based on those determined by electron microscopy. The major microtubule surface grooves are those defining the protofilaments, which form a hollow cylinder of maximum diameter 300 A. Strong electron density fluctuations in the microtubule wall are interpreted as evidence for a domain structure within the tubulin subunit. The arrangement of domains is such that the tubulin molecule could be quite flexible at the domain connections; thus, slight changes in this arrangement could account for the unusual polymorphism of tubulin assemblies.     

Biochemical and Structural Analyses of Microtubules in the Pellicular Membrane of Leishmania tropica1

The structure of the major protein of the pellicular membrane of Leishmania tropica was investigated. This protein is composed of two polypeptides, of ca. 50,000 d molecular weight, that were found to cross-react immunologically with the α and β subunits of pig brain tubulin. The polypeptides and pig brain tubulin subunits were partially digested with S. aureus V8 protease, and the peptides obtained analysed by SDS-polyacrylamide gel electrophoresis. A comparison of the patterns showed that the β subunits of Leishmania and pig tubulin have very similar primary structures, while the α subunits have evolved divergently. These experiments demonstrate that the major polypeptides found in the pellicular membrane of L. tropica are α and β subunits of tubulin. Immuno-electron microscopy indicates that the tubulin is located in the microtubules associated with the pellicular membrane of Leishmania. Arrays of microtubules were prepared by nonionic detergent treatment of the cells and observed by electron microscopy after negative staining. Optical diffraction reveals a 5 nm spacing between protofilaments in the microtubule and a 4 nm axial periodicity corresponding to the tubulin subunits. The pitch of the shallow left-hand three-start helix is 12°. A distance of 47 nm separates each microtubule from the next. These data show that the dimensions and supramolecular organization of the tubulin subunits in the microtubules are identical in the pellicular membrane of L. tropica and in mammalian brain.     

Measuring the persistence length of MCF7 cell microtubules in vitro

The dynamic and mechanical properties of mammalian neural microtubules have been widely studied; however, similar knowledge about these properties is limited for non-neural microtubules, which, unlike neural microtubules, consist of different β-tubulin isotypes. In this study, we report, for the first time, an estimated value for the persistence length of a single non-neural microtubule polymerized from purified tubulin from human breast cancer cell lines (MCF7 tubulin). The method of measurement is based on an analysis of the local curvature of a microtubule as a result of thermal fluctuations. In parallel, we measured the persistence length of a single bovine brain microtubule under similar conditions. The results of our measurements indicate a higher value for the persistence length of MCF7 microtubules in vitro as compared to the persistence length of a neural microtubule. The difference can be associated with different β-tubulin isotypes in the structure of MCF7 microtubules.