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A transition rate model of cargo transport by $N$ molecular motors is proposed. Under the assumption of steady state, the force-velocity curve of multi-motor system can be derived from the force-velocity curve of single motor. Our work…

Biological Physics · Physics 2011-11-08 Ziqing Wang , Ming Li

The stochastic driving force exerted by a single molecular motor (e.g., a kinesin, or myosin) moving on a periodic molecular track (microtubule, actin filament, etc.) is discussed from a general viewpoint open to experimental test. An…

Statistical Mechanics · Physics 2009-10-31 Michael E. Fisher , Anatoly B. Kolomeisky

The collective dynamics of $N$ weakly coupled processive molecular motors are considered theoretically. We show, using a discrete lattice model, that the velocity-force curves strongly depend on the effective dynamic interactions between…

Subcellular Processes · Quantitative Biology 2009-11-11 O. Campas , Y. Kafri , K. B. Zeldovich , J. Casademunt , J. -F. Joanny

We describe in this paper a crossbridge model in which an attached crossbridge behaves like a linear spring with a variable rest length. We assume in particular that the rest length has a linear force-velocity relation, and that the force…

Biological Physics · Physics 2025-05-27 Mengjian Hua , Charles S. Peskin

The motion of molecular motor is essential to the biophysical functioning of living cells. In principle, this motion can be regraded as a multiple chemical states process. In which, the molecular motor can jump between different chemical…

Biological Physics · Physics 2015-05-19 Yunxin Zhang

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 walk along filaments until they detach stochastically with a force-dependent unbinding rate. Here, we show that this unbinding rate can be obtained from the analysis of experimental data of molecular motors moving in…

Biological Physics · Physics 2019-03-18 Florian Berger , Stefan Klumpp , Reinhard Lipowsky

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

Forces in the actin cytoskeleton are generated by small groups of non-processive myosin II motors for which stochastic effects are highly relevant. Using a crossbridge model with the assumptions of fast powerstroke kinetics and equal load…

Subcellular Processes · Quantitative Biology 2015-06-04 Thorsten Erdmann , Ulrich S. Schwarz

Dynamic properties of molecular motors that fuel their motion by actively interacting with underlying molecular tracks are studied theoretically via discrete-state stochastic ``burnt-bridge'' models. The transport of the particles is viewed…

Soft Condensed Matter · Physics 2009-11-13 Maxim N. Artyomov , Alexander Yu. Morozov , Ekaterina Pronina , Anatoly B. Kolomeisky

Myosin II isoforms with varying mechanochemistry and filament size interact with filamentous actin (F-actin) networks to generate contractile forces in cells. How their properties control force production in environments with varying…

Subcellular Processes · Quantitative Biology 2014-07-09 Samantha Stam , Jon Alberts , Margaret L. Gardel , Edwin Munro

Dynamics of molecular motors that move along linear lattices and interact with them via reversible destruction of specific lattice bonds is investigated theoretically by analyzing exactly solvable discrete-state ``burnt-bridge'' models.…

Soft Condensed Matter · Physics 2009-11-13 Max N. Artyomov , Alexander Yu. Morozov , Anatoly B. Kolomeisky

A possible way to extract information about the reversible dissociation of a molecular adhesion bond from force fluctuations observed in force ramp experiments is discussed. For small loading rates the system undergoes a limited number of…

Statistical Mechanics · Physics 2015-06-18 Gregor Diezemann

Despite the great success of the Huxley sliding filament model proposed half a century ago for actin-myosin linkages (cross-bridges), it fails to explain the force-velocity behavior of stretching skeletal muscles. Huxley's two-state kinetic…

Biological Physics · Physics 2009-09-04 Valery B. Kokshenev

We consider mechanically generated molecular braids composed of two molecules where long range interactions between them can be considered to be very weak. We describe a model that takes account of the thermal fluctuations of the braid,…

Soft Condensed Matter · Physics 2013-12-23 D. J. Lee

We discuss effects of the stepping kinetics of molecular motors on their traffic behavior on crowded filaments using a simple two-state chemomechanical cycle. While the general traffic behavior is quite robust with respect to the detailed…

Statistical Mechanics · Physics 2008-10-10 Stefan Klumpp , Yan Chai , Reinhard Lipowsky

Dynamics of molecular motor dimers, consisting of rigidly bound particles that move along two parallel lattices and interact with underlying molecular tracks, is investigated theoretically by analyzing discrete-state stochastic…

Statistical Mechanics · Physics 2009-11-13 Alexander Yu. Morozov , Anatoly B. Kolomeisky

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

Transport of molecular motors, stimulated by interactions with specific links between consecutive binding sites (called ``bridges''), is investigated theoretically by analyzing discrete-state stochastic ``burnt-bridge'' models. When an…

Soft Condensed Matter · Physics 2015-06-25 Alexander Yu. Morozov , Ekaterina Pronina , Anatoly B. Kolomeisky , Maxim N. Artyomov

Molecular motors transduce chemical energy obtained from hydrolizing ATP into mechanical work exerted against an external force. We calculate their efficiency at maximum power output for two simple generic models and show that the…

Statistical Mechanics · Physics 2009-11-13 Tim Schmiedl , Udo Seifert
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