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We investigate the cooperative dynamics of an ensemble of N microtubules growing against an elastic barrier. Microtubules undergo so-called catastrophes, which are abrupt stochastic transitions from a growing to a shrinking state, and…

Subcellular Processes · Quantitative Biology 2013-01-08 Björn Zelinski , Jan Kierfeld

Microtubules are dynamic intracellular fibers that have been observed experimentally to undergo spontaneous self-alignment. We formulate a 3D mean-field theory model to analyze the nematic phase transition of microtubules growing and…

Biological Physics · Physics 2025-02-24 Cameron Gibson , Henrik Jönsson , Tamsin Spelman

We propose a stochastic model that accounts for the growth, catastrophe and rescue processes of steady state microtubules assembled from MAP-free tubulin. Both experimentally and theoretically we study the perturbation of microtubule…

Biological Physics · Physics 2015-05-20 Peter Hinow , Vahid Rezania , Manu Lopus , Mary Ann Jordan , Jack A. Tuszynski

The cytoskeleton is essential for the maintenance of cell morphology in eukaryotes. In fission yeast for example, polarized growth sites are organized by actin whereas microtubules (MT) acting upstream control where growth occurs (La…

Cell Behavior · Quantitative Biology 2009-03-30 Dietrich Foethke , Tatyana Makushok , Damian Brunner , Francois Nedelec

Certain regulatory proteins influence the polymerization dynamics of microtubules by inducing catastrophe with a rate that depends on the microtubule length. Using a discrete formulation, here we show that, for a catastrophe rate…

Biological Physics · Physics 2012-08-27 Vandana Yadav , Sutapa Mukherji

We study the steady state of an assembly of microtubules in a confined volume, analogous to the situation inside a cell where the cell boundary forms a natural barrier to growth. We show that the dynamical equations for growing and…

Subcellular Processes · Quantitative Biology 2012-08-27 Bindu S. Govindan , William. B. Spillman,

Dynamic instability of microtubules is considered using frameworks of non-linear thermodynamics and non-equilibrium reaction-diffusion systems. Stochastic assembly/disassembly phases in the polymerization dynamics of microtubules are…

Subcellular Processes · Quantitative Biology 2016-11-15 Eugene Katrukha

We introduce a model for microtubule mechanics containing lateral bonds between dimers in neighboring protofilaments, bending rigidity of dimers, and repulsive interactions between protofilaments modeling steric constraints to investigate…

Subcellular Processes · Quantitative Biology 2014-12-12 Nina Müller , Jan Kierfeld

Microtubules are highly regulated dynamic elements of the cytoskeleton of eukaryotic cells. One of the regulation mechanisms observed in living cells is the severing by the proteins katanin and spastin. We introduce a model for the dynamics…

Subcellular Processes · Quantitative Biology 2010-03-12 Simon H. Tindemans , Bela M. Mulder

Microtubules (MTs) are dynamic protein filaments essential for intracellular organization and transport, particularly in long-lived cells such as neurons. The plus and minus ends of neuronal MTs switch between growth and shrinking phases,…

Biological Physics · Physics 2025-07-11 Anna C. Nelson , Scott A. McKinley , Melissa M. Rolls , Maria-Veronica Ciocanel

Myosin motor proteins drive vigorous steady-state fluctuations in the actin cytoskeleton of cells. Endogenous embedded semiflexible filaments such as microtubules, or added filaments such as single-walled carbon nanotubes are used as novel…

Biological Physics · Physics 2016-06-21 J. Gladrow , N. Fakhri , F. C. MacKintosh , C. F. Schmidt , C. P. Broedersz

The structural integrity of microtubules is paramount for cellular function. We present a theoretical analysis of their lattice fracture, focusing on the influence of multi-seam structures arising from monomer defects and aiming to provide…

Biological Physics · Physics 2025-11-11 Amir Zablotsky , Subham Biswas , Laura Schaedel , Karin John

This paper describes an investigation into part of the mechanical mechanisms underlying the formation of mitotic spindle, the cellular machinery responsible for chromosomal separation during cell division. In normal eukaryotic cells,…

Subcellular Processes · Quantitative Biology 2019-05-29 Samira Masoudi , Cameron H. G. Wright , Jesse C. Gatlin , John. S. Oakey

Mobility of taxol inside microtubules was investigated using fluorescence recovery after photobleaching (FRAP) on flow-aligned bundles. Bundles were made of microtubules with either GMPCPP or GTP at the exchangeable site on the tubulin…

Subcellular Processes · Quantitative Biology 2009-11-10 Jennifer L. Ross , D. Kuchnir Fygenson

Here we study a driven lattice gas model for microtubule depolymerizing molecular motors, where traffic jams of motors induce stochastic switching between microtubule growth and shrinkage. We term this phenomenon \enquote{traffic dynamic…

Statistical Mechanics · Physics 2015-05-07 Louis Reese , Anna Melbinger , Erwin Frey

The cortical microtubule array of dark-grown hypocotyl cells of plant seedlings undergoes a striking, and developmentally significant, reorientation upon exposure to light. This process is driven by the exponential amplification of a…

Biological Physics · Physics 2020-05-27 Marco Saltini , Bela M. Mulder

Multi-phase material are frequently applied in a wide variety of products, as they posses a unique set of properties by combining two or more distinct phases at the level of the microstructure. Although the macroscopic stiffness and…

Materials Science · Physics 2016-04-13 T. W. J. de Geus , R. H. J. Peerlings , M. G. D. Geers

Gradient catastrophe and flutter instability in the motion of vortex filament within the localized induction approximation are analyzed. It is shown that the origin if this phenomenon is in the gradient catastrophe for the dispersionless Da…

Exactly Solvable and Integrable Systems · Physics 2015-05-28 B. G. Konopelchenko , G. Ortenzi

How cytoskeletal filaments collectively undergo growth and shrinkage is an intriguing question. Collective properties of multiple bio-filaments (actin or microtubules) undergoing hydrolysis, have not been studied extensively earlier, within…

Biological Physics · Physics 2015-06-19 Dipjyoti Das , Dibyendu Das , Ranjith Padinhateeri

Thermal shape fluctuations of grafted microtubules were studied using high resolution particle tracking of attached fluorescent beads. First mode relaxation times were extracted from the mean square displacement in the transverse…

Biomolecules · Quantitative Biology 2008-09-09 Katja M. Taute , Francesco Pampaloni , Erwin Frey , Ernst-Ludwig Florin