Electro-Acoustic Behavior of the Mitotic Spindle: A Semi-Classical Coarse-Grained Model

The regulation of chromosome separation during mitosis is not fully understood yet. Microtubules forming mitotic spindles are targets of treatment strategies which are aimed at (i) the triggering of the apoptosis or (ii) the interruption of uncontrolled cell division. Despite these facts, only few physical models relating to the dynamics of mitotic spindles exist up to now. In this paper, we present the first electromechanical model which enables calculation of the electromagnetic field coupled to acoustic vibrations of the mitotic spindle. This electromagnetic field originates from the electrical polarity of microtubules which form the mitotic spindle. The model is based on the approximation of resonantly vibrating microtubules by a network of oscillating electric dipoles. Our computational results predict the existence of a rapidly changing electric field which is generated by either driven or endogenous vibrations of the mitotic spindle. For certain values of parameters, the intensity of the electric field and its gradient reach values which may exert a not-inconsiderable force on chromosomes which are aligned in the spindle midzone. Our model may describe possible mechanisms of the effects of ultra-short electrical and mechanical pulses on dividing cells—a strategy used in novel methods for cancer treatment.     

Microtubule dynamics and microtubule caps: a time-resolved cryo- electron microscopy study

Microtubules display the unique property of dynamic instability characterized by phase changes between growth and shrinkage, even in constant environmental conditions. The phases can be synchronized, leading to bulk oscillations of microtubules. To study the structural basis of dynamic instability we have examined growing, shrinking, and oscillating microtubules by time-resolved cryo-EM. In particular we have addressed three questions which are currently a matter of debate: (a) What is the relationship between microtubules, tubulin subunits, and tubulin oligomers in microtubule dynamics?; (b) How do microtubules shrink? By release of subunits or via oligomers?; and (c) Is there a conformational change at microtubule ends during the transitions from growth to shrinkage and vice versa? The results show that (a) oscillating microtubules coexist with a substantial fraction of oligomers, even at a maximum of microtubule assembly; (b) microtubules disassemble primarily into oligomers; and (c) the ends of growing microtubules have straight protofilaments, shrinking microtubules have protofilaments coiled inside out. This is interpreted as a transition from a tense to a relaxed conformation which could be used to perform work, as suggested by some models of poleward chromosome movement during anaphase.     

Polarized fluorescent emission from probes near dielectric interfaces

The electromagnetic field surrounding and emitted by a dipolar molecular probe very near to a dielectric interface is the sum of the real dipole field and the field of the image dipole induced inside the dielectric interface. The total charge distribution, made up of the real and image dipoles in close proximity to each other, approximates a quadrupole distribution and emits a light intensity pattern similar to that of an oscillating electric quadrupole. The electromagnetic field emitted by this system contains information that can be directly related to the spatial and orientational distributions of the dipole near the interface. Experimental methods are discussed that utilize this system for determining the spatial and orientational distribution of fluorescent probes in biological material.     

形成于细胞骨架微管中的量子计算

微管是细胞骨架中的重要组成部分和功能组件,其中充满了液体水。本文基于腔量子电动力学描述了微管中水的电偶极子与电磁辐射场的相互作用,并论述了基于量子力学原理的量子计算,进而探讨了微管实现量子计算的一种可能机理。     

Katanin regulates dynamics of microtubules and biogenesis of motile cilia

The in vivo significance of microtubule severing and the mechanisms governing its spatial regulation are not well understood. In Tetrahymena, a cell type with elaborate microtubule arrays, we engineered null mutations in subunits of the microtubule-severing complex, katanin. We show that katanin activity is essential. The net effect of katanin on the polymer mass depends on the microtubule type and location. Although katanin reduces the polymer mass and destabilizes the internal network of microtubules, its activity increases the mass of ciliary microtubules. We also show that katanin reduces the levels of several types of post-translational modifications on tubulin of internal and cortical microtubules. Furthermore, katanin deficiencies phenocopy a mutation of beta-tubulin that prevents deposition of polymodifications (glutamylation and glycylation) on microtubules. We propose that katanin preferentially severs older, post-translationally modified segments of microtubules.     

Electric field generated by axial longitudinal vibration modes of microtubule

Microtubules are electrically polar structures fulfilling prerequisites for generation of oscillatory electric field in the kHz to GHz region. Energy supply for excitation of elasto-electrical vibrations in microtubules may be provided from GTP-hydrolysis; motor protein–microtubule interactions; and energy efflux from mitochondria. We calculated electric field generated by axial longitudinal vibration modes of microtubules for random, and coherent excitation. In case of coherent excitation of vibrations, the electric field intensity is highest at the end of microtubule. The dielectrophoretic force exerted by electric field on the surrounding molecules will influence the kinetics of microtubule polymerization via change in the probability of the transport of charge and mass particles. The electric field generated by vibrations of electrically polar cellular structures is expected to play an important role in biological self-organization.     

Radial-organized microtubules provide cell shape support and more effective intercellular transport then free microtubules

Microtubules take part in various cell processes, including cell polarization, migration, intercellular transport, and some others. Therefore, the spatial organization of microtubules is crucial for normal cell behavior. Fibroblasts have radial microtubule arrays that consist of microtubules that run from the centrosome. Two components compose this microtubule array, i.e., (1) minus ends attached to the centrosome microtubules with their plus ends radiating to the cell periphery and (2) free microtubules with ends not attached to the centrosome. Distinctions in the dynamic properties, intercellular organization, and structure of centrosome-attached and free microtubules allow us to assume that their cellular functions are also different. To study centrosome-attached and free microtubules functions, we used cytoplasts, i.e., nucleus-lacking cellular fragments that, under certain conditions, also lose their centrosomes. In these cytoplasts, there are only free microtubules. The shape, general morphology, and size of cytoplasts that retain their centrosomes differ only slightly from whole cells. Cytoplasts who have lost their centrosomes have an extremely thin network of microtubules located in their central region; furthermore, they lose the shape that is typical for fibroblast and become rough lamellae with protrusions. The internal architecture of the cytoplasm and organoid arrangement are also broken. Saltatory movements in cytoplasts with centrosomes are similar to those in whole cells; in cytoplasts without centrosomes, saltatory movements occur with velocities that are twofold less and by shorter distances. Saltatory movements of granules in centrosome-lacking cytoplasts took place basically in the central region of cytoplast and were less ordered than in whole cells and in cytoplasts with centrosomes. We believe that radial organized microtubules ensure the effective transport and dynamical interaction of microtubule plus ends with cellular cortical structures, which is sufficient to support the common fibroblast-like shape, whereas the disorganized free microtubules are not able to maintain the external fibroblast shape and its intercellular organization.     

Disruption of cytoplasmic microtubules by ultraviolet radiation.

Ultraviolet (UV) irradiation of cultured human skin fibroblasts causes the disassembly of their microtubules. Using indirect immunofluorescence microscopy, we have now investigated whether damage to the microtubule precursor pool may contribute to the disruption of microtubules. Exposure to polychromatic UV radiation inhibits the reassembly of microtubules during cellular recovery from cold treatment. In addition, the ability of taxol to promote microtubule polymerization and bundling is inhibited in UV-irradiated cells. However, UV irradiation of taxol-pretreated cells or in situ detergent-extracted microtubules fails to disrupt the microtubule network. These data suggest that damage to dimeric tubulin, or another soluble factor(s) required for polymerization, contributes to the disassembly of microtubules in UV-irradiated human skin fibroblasts.     

Mechanism for oscillatory assembly of microtubules

Dampened oscillations of microtubule assembly can accompany polymerization at high tubulin subunit concentrations. This presumably results from a synchronization of dynamic instability behavior, which generates a large population of rapidly disassembling microtubules, that liberate tubulin-GDP oligomers. Subunits in oligomers cannot assemble until they dissociate, to allow GDP-GTP exchange. To determine whether rapidly disassembling microtubules generate oligomers directly, we measured the rate of dilution-induced disassembly of tubulin-GDP microtubules and the rate of dissociation of GDP from the so-formed tubulin-GDP subunits. The rate of GDP dissociation from liberated subunits was found to correspond to that of tubulin-GDP subunits (t1/2 = 5 s), rather than tubulin-GDP oligomers. This indicates that tubulin-GDP subunits are released from microtubules undergoing rapid disassembly. Oligomers apparently form in a side reaction from the high concentration of tubulin-GDP subunits liberated from the synchronously disassembling microtubule population. The rate of subunit dissociation is 0.11 s-1 with oligomers formed by concentrating tubulin-GDP subunits and 0.045 s-1 with oligomers formed by cold-induced microtubule disassembly. This difference provides evidence that the conformation of tubulin-GDP subunits released from rapidly disassembling microtubules differs from tubulin-GDP subunits that were not recently in the microtubule lattice.     

Toward reconstitution of in vivo microtubule dynamics in vitro

The transition from interphase to mitosis is marked by a dramatic change in microtubule dynamics resulting in the reorganization of the microtubule network that culminates in mitotic spindle formation. While the molecular basis for this change in microtubule organization remains obscure, it is currently thought that a balance in the activity of microtubule stabilizing and destabilizing factors regulates how dynamic cellular microtubules are. By mixing the microtubule stabilizer XMAP215 and the microtubule destabilizer XKCM1, reconstitution of in vivo-like microtubule dynamics has now been achieved in vitro.     

Observation and quantification of individual microtubule behavior in vivo: microtubule dynamics are cell-type specific

Recent experiments have demonstrated that the behavior of the interphase microtubule array is cell-type specific: microtubules in epithelial cells are less dynamic than microtubules in fibroblasts (Pepper-kok et al., 1990; Wadsworth and McGrail, 1990). To determine which parameters of microtubule dynamic instability behavior are responsible for this difference, we have examined the behavior of individual microtubules in both cell types after injection with rhodamine-labeled tubulin subunits. Individual microtubules in both cell types were observed to grow, shorten, and pause, as expected. The average amount of time microtubules remained within the lamellae of CHO fibroblasts, measured from images acquired at 10-s intervals, was significantly shorter than the average amount of time microtubules remained within lamellae of PtK1 epithelial cells. Further analysis of individual microtubule behavior from images acquired at 2-s intervals reveals that microtubules in PtK1 cells undergo multiple brief episodes of growth and shortening, resulting in little overall change in the microtubule network. In contrast, microtubules in lamellae of CHO fibroblasts are observed to undergo fewer transitions which are of longer average duration, resulting in substantial changes in the microtubule network over time. A small subset of more stable microtubules was also detected in CHO fibroblasts. Quantification of the various parameters of dynamic instability behavior from these sequences demonstrates that the average rates of both growth and shortening are significantly greater for the majority of microtubules in fibroblasts than for microtubules in epithelial cells (19.8 +/- 10.8 microns/min, 32.2 +/- 17.7 microns/min, 11.9 +/- 6.5 microns/min, and 19.7 +/- 8.1 microns/min, respectively). The frequency of catastrophe events (1/interval between catastrophe events) was similar in both cell types, but the frequency of rescue events (1/time spent shrinking) was significantly higher in PtK1 cells. Thus, individual microtubules in PtK1 lamellae undergo frequent excursions of short duration and extent, whereas most microtubules in CHO lamellae undergo more extensive excursions often resulting in the appearance or disappearance of microtubules within the field of view. These observations provide the first direct demonstration of cell-type specific behavior of individual microtubules in living cells, and indicate that these differences can be brought about by modulation of the frequency of rescue. These results directly support the view that microtubule dynamic instability behavior is regulated in a cell-type specific manner.     

Direct regulation of microtubule dynamics by protein kinase CK2

Microtubule dynamics is essential for many vital cellular processes such as morphogenesis and motility. Protein kinase CK2 is a ubiquitous protein kinase that is involved in diverse cellular functions. CK2 holoenzyme is composed of two catalytic alpha or alpha' subunits and two regulatory beta subunits. We show that the alpha subunit of CK2 binds directly to both microtubules and tubulin heterodimers. CK2 holoenzyme but neither of its individual subunits exhibited a potent effect of inducing microtubule assembly and bundling. Moreover, the polymerized microtubules were strongly stabilized by CK2 against cold-induced depolymerization. Interestingly, the kinase activity of CK2 is not required for its microtubule-assembling and stabilizing function because a kinase-inactive mutant of CK2 displayed the same microtubule-assembling activity as the wild-type protein. Knockdown of CK2alpha/alpha' in cultured cells by RNA interference dramatically destabilized their microtubule networks, and the destabilized microtubules were readily destructed by colchicine at a very low concentration. Further, over-expression of chicken CK2alpha or its kinaseinactive mutant in the endogenous CK2alpha/alpha'-depleted cells fully restored the microtubule resistance to the low dose of colchicine. Taken together, CK2 is a microtubule-associated protein that confers microtubule stability in a phosphorylation-independent manner.     

Electron microscopic observations of an unusual cytoplasmic inclusion in the calcium-starved white mutant (LU887 × LU897) of Physarum polycephalum

Electron micrographs of Physarum polycephalum microplasmodia (LU887 × LU897) reveal cytoplasmic inclusions that appear “striated” at low magnifications; at higher magnifications these exhibit a structure that we have interpreted as microtubule bundles. The light and dark regions in the inclusions are due to the affinity of some microtubules for osmic acid; these appear to have dense regions while other microtubules remain electron lucent. The diameters of the microtubules are about 32–33nm; the subunits forming the tubule walls measure about 8–9nm in diameter. The diameter measurements are slightly larger than the dimensions assigned to vertebrate microtubules (28nm); however, the diameter of the subunits in the microtubule wall measures about 8–9nm which is essentially the same measurement reported for vertebrate tubulin dimers.     

CLIPs and CLASPs and cellular dynamics

The dynamic properties of microtubules are regulated by plus-end tracking proteins (+TIPs), which associate with the distal ends of microtubules. Among the +TIPs are cytoplasmic linker proteins (CLIPs), which promote microtubule growth and regulate dynein-dynactin localization, and CLIP-associating proteins (CLASPs), which stabilize specific subsets of microtubules on reception of signalling cues. CLIPs and CLASPs interact and cooperate to direct the microtubule network, thereby regulating cellular asymmetry.     

MICROTUBULES IN BIOLOGICAL CELLS AS CIRCULAR WAVEGUIDES AND RESONATORS

The microtubules in the cellular cytoskeleton have a fundamental role in the living processes of biological cells. They are hollow cylinders which resemble circular waveguides or cylindrical resonators. The cutoff and resonant frequencies of the transverse magnetic and transverse electric modes of the microtubule cavities are in the band of soft x-rays. This suggests the possibility of interaction of electromagnetic cavity modes with inner electrons in atoms (e.g., in carbon, nitrogen, and oxygen). Biological cells (e.g., the yeast cells of spherical shape) may also represent cavity resonators. In this case, the resonant frequencies may be in the infrared region.     

Mechano-electrical vibrations of microtubules-Link to subcellular morphology

Spontaneous mechanical oscillations were predicted and experimentally proven on almost every level of cellular structure. Besides morphogenetic potential of oscillatory mechanical force, oscillations may drive vibrations of electrically polar structures or these structures themselves may oscillate on their own natural frequencies. Vibrations of electric charge will generate oscillating electric field, role of which in morphogenesis is discussed in this paper. This idea is demonstrated in silico on the conformation of two growing microtubules.     

Mechanism of the microtubule GTPase reaction

The rate of GTP hydrolysis by microtubules has been measured at tubulin subunit concentrations where microtubules undergo net disassembly. This was made possible by using microtubules stabilized against disassembly by reaction with ethylene glycol bis-(succinimidylsuccinate) (EGS) as sites for the addition of tubulin-GTP subunits. The tubulin subunit concentration was varied from 25 to 90% of the steady state concentration, and there was no net elongation of stabilized microtubule seeds. The GTPase rate with EGS microtubules was linearly proportional to the tubulin-GTP subunit concentration when this concentration was varied by dilution and by using GDP to compete with GTP for the tubulin E-site. The linear dependence of the rate is consistent with a GTP mechanism in which hydrolysis is coupled to the tubulin-GTP subunit addition to microtubule ends. It is inconsistent with reaction schemes in which: microtubules are capped by a single tubulin-GTP subunit, which hydrolyzes GTP when a tubulin-GTP subunit adds to the end; hydrolysis occurs primarily in subunits at the interface of a tubulin-GTP cap and the tubulin-GDP microtubule core; hydrolysis is not coupled to subunit addition and occurs randomly in subunits in a tubulin-GTP cap. It was also found that GDP inhibition of the microtubule GTPase rate results from GDP competition for GTP at the tubulin subunit E-site. There is no additional effect of GDP on the GTPase rate resulting from exchange into tubulin subunits at microtubule ends.     

Microtubule organization by cross-linking and bundling proteins.

To understand microtubule function the factors regulating their spatial organization and their interaction with cellular organelles, including other microtubules, must be elucidated. Many proteins are implicated in these organizational events and the known consequences of their actions within the cell are increasing. For example, the function of microtubule bundles at the surfaces of polarized cells has recently received attention, as has the action in cortical rotation of a transient arrangement of microtubules found beneath the vegetal surface of fertilized frog eggs. The in vivo association of microtubules during early Xenopus oogenesis has added interest as microtubules bundled in cell-free extracts are protected against the action of a severing protein found in this animal. A 52 kDa F-actin bundling protein purified from Physarum polycephalum organizes microtubules and causes the cobundling of microtubules and microfilaments. These observations, in concert with others that are presented, emphasize the diversity within the family of microtubule cross-linking proteins. The challenge is to determine which proteins are relevant from a physiological perspective, to ascertain their molecular mechanisms of action and to describe how they affect cytoplasmic organization and cell function. To realize this objective, the proteins which cross-link and bundle microtubules must be investigated by techniques which reveal different but related aspects of their properties. Cloning and sequencing of genes for cross-linking proteins, their subcellular localization especially as microtubule-related changes in cell morphology are occurring and the application of genetic studies are necessary. Study of the neural MAP provides the best example of just how powerful current experimental approaches are and at the same time shows their limits. The neural MAP have long been noted for their enhancement of tubulin assembly and microtubule stability. Their spatial distribution has been studied during the morphogenesis of neural cells. Sequencing of cloned genes has revealed the functional domains of neural MAP including carboxy-terminal microtubule-binding sites. Similarities to microtubule binding proteins from other cell types stimulate interest in the neural MAP and further suggest their importance in microtubule organization. For example, MAP4 enjoys a wide cellular distribution and has microtubule-binding sequences very similar to those in the neural MAP. Moreover, the nontubulin proteins of marginal bands are immunologically related to neural MAP, indicating shared structural/functional domains. Even with these findings the mechanism by which neural MAP cross-link microtubules remains uncertain. Indeed, some researchers express doubt that microtubule cross-linking is actually a function of neural MAP in vivo.(ABSTRACT TRUNCATED AT 400 WORDS)     

Arabidopsis AUGMIN Subunit8 Is a Microtubule Plus-End Binding Protein That Promotes Microtubule Reorientation in Hypocotyls

In plant cells, cortical microtubules provide tracks for cellulose-synthesizing enzymes and regulate cell division, growth, and morphogenesis. The role of microtubules in these essential cellular processes depends on the spatial arrangement of the microtubules. Cortical microtubules are reoriented in response to changes in cell growth status and cell shape. Therefore, an understanding of the mechanism that underlies the change in microtubule orientation will provide insight into plant cell growth and morphogenesis. This study demonstrated that AUGMIN subunit8 (AUG8) in Arabidopsis thaliana is a novel microtubule plus-end binding protein that participates in the reorientation of microtubules in hypocotyls when cell elongation slows down. AUG8 bound to the plus ends of microtubules and promoted tubulin polymerization in vitro. In vivo, AUG8 was recruited to the microtubule branch site immediately before nascent microtubules branched out. It specifically associated with the plus ends of growing cortical microtubules and regulated microtubule dynamics, which facilitated microtubule reorientation when microtubules changed their growth trajectory or encountered obstacle microtubules during microtubule reorientation. This study thus reveals a novel mechanism underlying microtubule reorientation that is critical for modulating cell elongation in Arabidopsis.