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An expression for the energetic efficiency of a molecular motor is presented in terms of an effective temperature, which was defined based on the ratio of the correlation function to the susceptibility of its velocity. We also present a…

Statistical Mechanics · Physics 2007-05-23 Takahiro Harada

Molecular motors of the kinesin-1 family move in a directed and processive fashion along microtubules (MTs). It is generally accepted that steric hindrance of motors leads to crowding effects; however, little is known about the specific…

Biological Physics · Physics 2018-10-17 Matthias Rank , Erwin Frey

Bidirectional variants of stochastic many particle models for transport by molecular motors show a strong tendency to form macroscopic clusters on static lattices. Inspired by the fact that the microscopic tracks for molecular motors are…

Biological Physics · Physics 2013-05-29 M. Ebbinghaus , C. Appert-Rolland , L. Santen

We study the influence of filament elasticity on the motion of collective molecular motors. It is found that for a backbone flexibility exceeding a characteristic value (motor stiffness divided through the mean displacement between attached…

Soft Condensed Matter · Physics 2007-05-23 Andrej Vilfan , Erwin Frey , Franz Schwabl

Fluctuations in the physical properties of biological machines are inextricably linked to their functions. Distributions of run-lengths and velocities of processive molecular motors, like kinesin-1, are accessible through single molecule…

Statistical Mechanics · Physics 2016-08-17 Huong T. Vu , Shaon Chakrabarti , Michael Hinczewski , D. Thirumalai

In living cells, motor proteins, such as kinesin and dynein can move processively along microtubule (MT), and also detach from or attach to MT stochastically. Experiments have found that, the traffic of motor might be jammed, and various…

Biological Physics · Physics 2015-03-06 Yunxin Zhang

Despite significant fluctuation under thermal noise, biological machines in cells perform their tasks with exquisite precision. Using molecular simulation of a coarse-grained model and theoretical arguments we envisaged how kinesin, a…

Biological Physics · Physics 2015-06-03 Changbong Hyeon , José N. Onuchic

In eukaryotic cells, many motor proteins can move simultaneously on a single microtubule track. This leads to interesting collective phenomena like jamming. Recently we reported ({\it Phys. Rev. Lett. {\bf 95}, 118101 (2005)}) a lattice-gas…

Because of its nonequilibrium character, active matter in a steady state can drive engines that autonomously deliver work against a constant mechanical force or torque. As a generic model for such an engine, we consider systems that contain…

Statistical Mechanics · Physics 2019-11-15 Patrick Pietzonka , Étienne Fodor , Christoph Lohrmann , Michael E. Cates , Udo Seifert

Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

Biological Physics · Physics 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

The dynamics of two groups of molecular motors pulling in opposite directions on a rigid filament is studied theoretically. To this end we first consider the behavior of one set of motors pulling in a single direction against an external…

Subcellular Processes · Quantitative Biology 2015-05-13 Daniel Hexner , Yariv Kafri

Biomolecular motors use free energy to drive a variety of cellular tasks, including the transport of cargo, such as vesicles and organelles. We find that the widely-used `constant-force' approximation for the effect of cargo on motor…

Statistical Mechanics · Physics 2023-04-11 Aidan I Brown , David A Sivak

Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random…

Statistical Mechanics · Physics 2009-11-24 Maxim N. Artyomov , Alexander Yu. Morozov , Anatoly B. Kolomeisky

Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a…

Biological Physics · Physics 2019-06-07 Wonseok Hwang , Changbong Hyeon

Anomalously slow passive diffusion, $\langle \delta x^2(t)\rangle\simeq t^{\alpha}$, with $0<\alpha<1$, of larger tracers such as messenger RNA and endogenous submicron granules in the cytoplasm of living biological cells has been…

Biological Physics · Physics 2014-09-24 Igor Goychuk , Vasyl O. Kharchenko , Ralf Metzler

A hopping model for molecular motors is presented consisting of a state with asymmetric hopping rates with period 2 and a state with uniform hopping rates. State changes lead to a stationary unidirectional current of a particle. The current…

Statistical Mechanics · Physics 2015-06-25 H. Ambaye , K. W. Kehr

We study the mechanical and thermodynamic properties of different traffic models for kinesin which are relevant in biological and experimental contexts. We find that motor-motor interactions play a fundamental role by enhancing the…

Statistical Mechanics · Physics 2013-07-18 Natalia Golubeva , Alberto Imparato

Movements of molecular motors on cytoskeletal filaments are described by directed walks on a line. Detachment from this line is allowed to occur with a small probability. Motion in the surrounding fluid is described by symmetric random…

Statistical Mechanics · Physics 2007-05-23 Theo M. Nieuwenhuizen , Stefan Klumpp , Reinhard Lipowsky

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

We introduce a new approach to build microscopic engines on the atomic scale that move translationally or rotationally and can perform useful functions such as pulling of a cargo. Characteristic of these engines is the possibility to…

Condensed Matter · Physics 2009-10-31 Markus Porto , Michael Urbakh , Joseph Klafter