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In the present paper we describe a model of nonlinear dynamics of microtubules (MT) assuming a single longitudinal degree of freedom per tubulin dimer. This is a longitudinal displacement of a dimer at a certain position with respect to the…

Biological Physics · Physics 2015-06-11 Slobodan Zdravković , Miljko V. Satarić , Slobodan Zeković

In the research of condensed matter, atomistic dynamic simulations play a crucial role, particularly in revealing dynamic processes, phase transitions and thermodynamic statistics macroscopic physical properties in systems such as solids…

Materials Science · Physics 2025-05-30 Hongyu Wu , Wenliang Shi , Ri He , Guoyong Shi , Chunxiao Zhang , Zhicheng Zhong , Run-wei Li

Starting from the hypothesis that the tubulin dimer is a conformationally bistable molecule - fluctuating between a curved and a straight configuration at room temperature - we develop a model for polymorphic dynamics of the microtubule…

Biomolecules · Quantitative Biology 2010-05-10 Herve Mohrbach , Albert Johner , Igor M. Kulic

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 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 have been in biophysical focus for several decades. Yet the confusing and mutually contradicting results regarding their elasticity and fluctuations have shed some doubts on their present understanding. In this paper we expose…

Soft Condensed Matter · Physics 2011-11-22 Hervé Mohrbach , Albert Johner , Igor M. Kulić

Modeling of turbulent combustion system requires modeling the underlying chemistry and the turbulent flow. Solving both systems simultaneously is computationally prohibitive. Instead, given the difference in scales at which the two…

Machine Learning · Computer Science 2022-11-14 Amol Salunkhe , Dwyer Deighan , Paul Desjardin , Varun Chandola

We model the dynamical states of the C-termini of tubulin dimers that comprise neuronal microtubules. We use molecular dynamics and other computational tools to explore the time-dependent behavior of conformational states of a C-terminus of…

Subcellular Processes · Quantitative Biology 2007-05-23 Avner Priel , Jack A. Tuszynski , Nancy J. Woolf

The microtubule network, an important part of the cytoskeleton, is constantly remodeled by alternating phases of growth and shrinkage of individual filaments. Plus-end tracking proteins (+TIPs) interact with the microtubule and in many…

Biological Physics · Physics 2009-12-24 M. Ebbinghaus , L. Santen

Dynamin is a ubiquitous GTPase that tubulates lipid bilayers and is implicated in many membrane severing processes in eukaryotic cells. Setting the grounds for a better understanding of this biological function, we develop a generalized…

Soft Condensed Matter · Physics 2008-08-19 Martin Lenz , Jacques Prost , Jean-François Joanny

We investigate the mechanical origin of polymorphic structures in two-dimensional tubulin assemblies, of which microtubules are the best known example. These structures feature twisted ribbons, flat tubulin sheets, macrotubules, and hoops,…

Soft Condensed Matter · Physics 2022-09-27 Ireth García-Aguilar , Steven Zwaan , Luca Giomi

We present a minimal model for simulating dynamics of assorted lipid assemblies in a computationally efficient manner. Our model is particle-based and consists of coarse-grained beads put together on a modular platform to give generic…

Chemical Physics · Physics 2019-10-15 John M. A. Grime , Jesper J. Madsen

Fluid phase equilibria involving nano-dispersed phases, where at least one of the coexisting phases is confined to a small volume, are investigated by molecular dynamics simulation. Complementing previous studies on nanoscopic droplets,…

Mesoscale and Nanoscale Physics · Physics 2013-07-23 Martin Horsch , Hans Hasse

We generalize the Dogterom-Leibler model for microtubule dynamics [DL] to the case where the rates of elongation as well as the lifetimes of the elongating and shortening phases are a function of GTP-tubulin concentration. We study also the…

Analysis of PDEs · Mathematics 2012-07-30 Shantia Yarahmadian , Blake Barker , Kevin Zumbrun , Sidney L. Shaw

We discuss possible quantum mechanical aspects of MicroTubules (MT), based on recent developments in quantum physics.We focus on potential mechanisms for `energy-loss-free' transport along the microtubules, which could be considered as…

Quantum Physics · Physics 2009-10-30 N. E. Mavromatos , D. V. Nanopoulos

Microtubules and motor proteins self organize into biologically important assemblies including the mitotic spindle and the centrosomal microtubule array. Outside of cells, microtubule-motor mixtures can form novel active liquid-crystalline…

Soft Condensed Matter · Physics 2016-01-20 Tong Gao , Robert Blackwell , Matthew A. Glaser , M. D. Betterton , Michael J. Shelley

Hydrogen is vital for sectors like chemicals and others, driven by the need to reduce carbon emissions. Proton Electrolyte Membrane Water Electrolysis (PEMWE) is a key technology for the production of green hydrogen under fluctuating…

Numerical Analysis · Mathematics 2024-10-10 Dayron Chang Dominguez , An Phuc Dam , Thomas Richter , Kai Sundmacher , Shaun M. Alia

Understanding the complex self-assembly of biomacromolecules is a major outstanding question. Microtubules are one example of a biopolymer that possesses characteristics quite distinct from standard synthetic polymers that are derived from…

Soft Condensed Matter · Physics 2013-01-10 Shengfeng Cheng , Ankush Aggarwal , Mark J. Stevens

Event-driven molecular dynamics simulations are carried out on two rigid body systems which differ in the symmetry of their molecular mass distributions. First, simulations of methane in which the molecules interact via discontinuous…

Statistical Mechanics · Physics 2007-05-23 Lisandro Hernandez de la Pena , Ramses van Zon , Jeremy Schofield , Sheldon B. Opps

Molecular dynamics simulations are used to study structure formation in simple model polymer chains that are subject to excluded volume and torsional interactions. The changing conformations exhibited by chains of different lengths under…

Soft Condensed Matter · Physics 2009-11-07 D. C. Rapaport