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We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set…

Soft Condensed Matter · Physics 2007-05-23 Igor S. Aronson , Lev S. Tsimring

Molecular motor proteins such as Myosin V, Dynein or Kinesin are no ratchets, at least not with a flashing asymmetric potential; the crucial asymmetry is in the dynamical activity. We make that explicit in terms of a simple Markov model,…

Statistical Mechanics · Physics 2015-09-11 Christian Maes , Winny O'Kelly de Galway

Polar polymer activity is a fundamental mechanism behind a large number of cellular dynamical processes. The number and location of the active sites on the polymer backbone play a central role in their dynamics and conformational…

Soft Condensed Matter · Physics 2025-03-25 Surabhi Jaiswal , Prithwiraj Maity , Snigdha Thakur , Marisol Ripoll

Motor proteins are key players in intracellular transport processes and biological motion. Theoretical modeling of these systems has been achieved by the use of step processes on one-dimensional lattices. After a comprehensive introduction…

Statistical Mechanics · Physics 2007-05-23 Hauke Hinsch , Roger Kouyos , Erwin Frey

We use molecular dynamics simulations to investigate the displacement of a simple butterfly-like molecular motor inside nanopores of various radii filled with a viscous medium. The medium is modeled with a versatile potential that may be…

Soft Condensed Matter · Physics 2021-12-07 Gaetan Delhaye , Felix Mercier , Victor Teboul

Connecting the large-scale emergent behaviors of active materials to the microscopic properties of their constituents is a challenge due to a lack of data on the multiscale dynamics and structure of such systems. We approach this problem by…

Inside cells, various cargos are transported by teams of molecular motors. Intriguingly, the motors involved generally have opposite pulling directions, and the resulting cargo dynamics is a biased stochastic motion. It is an open question…

Biological Physics · Physics 2017-09-20 Sarah Klein , Cécile Appert-Rolland , Ludger Santen

Biological functions in each animal cell depend on coordinated operations of a wide variety of molecular motors. Some of the these motors transport cargo to their respective destinations whereas some others are mobile workshops which…

Biological Physics · Physics 2008-03-07 Debashish Chowdhury

We consider an explicit model of a semiflexible filament moving in two dimensions on a gliding assay of motor proteins, which attach to and detach from filament segments stochastically, with a detachment rate that depends on the local load…

Soft Condensed Matter · Physics 2019-05-23 Nisha Gupta , Abhishek Chaudhuri , Debasish Chaudhuri

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an…

Statistical Mechanics · Physics 2019-08-17 B. Bassetti , M. Cosentino Lagomarsino , P. Jona

We have used numerical simulations to investigate how the properties of motor proteins control the dynamical behavior of a driven flexible filament. The filament is pinned at one end and positioned on top of a patch of anchored motor…

Soft Condensed Matter · Physics 2024-09-20 Amir Khosravanizadeh , Serge Dmitrieff

The cytoskeleton -- a composite network of biopolymers, molecular motors, and associated binding proteins -- is a paradigmatic example of active matter. Particle transport through the cytoskeleton can range from anomalous and heterogeneous…

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

The assumption of linear response of protein molecules to thermal noise or structural perturbations, such as ligand binding or detachment, is broadly used in the studies of protein dynamics. Conformational motions in proteins are…

Biomolecules · Quantitative Biology 2010-06-21 Yuichi Togashi , Toshio Yanagida , Alexander S. Mikhailov

The composite cytoskeleton, comprising interacting networks of semiflexible actin and rigid microtubules, actively generates forces and restructures using motor proteins such as myosins to enable key mechanical processes including cell…

How molecular motors like Kinesin regulates the affinity to the rail protein in the process of ATP hydrolysis remains to be uncovered. To understand the regulation mechanism, we investigate the structural fluctuation of KIF1A in different…

Biomolecules · Quantitative Biology 2008-02-04 Ryo Kanada , Fumiko Takagi , Macoto Kikuchi

In this study we formulate a theoretical approach, based on a Boltzmann-like kinetic equation, to describe pattern formation in two-dimensional mixtures of microtubular filaments and molecular motors. Following the previous work by Aranson…

Soft Condensed Matter · Physics 2018-02-28 Ivan Maryshev , Davide Marenduzzo , Andrew B. Goryachev , Alexander Morozov

Proteins from the kinesin-8 family promote microtubule (MT) depolymerization, a process thought to be important for the control of microtubule length in living cells. In addition to this MT shortening activity, kinesin 8s are motors that…

Biological Physics · Physics 2015-05-13 L. E. Hough , Anne Schwabe , Matthew A. Glaser , J. Richard McIntosh , M. D. Betterton

When the motion of a motile cell is observed closely, it appears erratic, and yet the combination of nonequilibrium forces and surfaces can produce striking examples of organization in microbial systems. While most of our current…

The cooperative action of many molecular motors is essential for dynamic processes such as cell motility and mitosis. This action can be studied by using motility assays in which the motion of cytoskeletal filaments over a surface coated…

Soft Condensed Matter · Physics 2009-06-01 Barak Gilboa , David Gillo , Oded Farago , Anne Bernheim-Groswasser
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