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We study the flashing ratchet model of a Brownian motor, which consists in cyclical switching between the Fokker-Planck equation with an asymmetric ratchet-like potential and the pure diffusion equation. We show that the motor really…

Analysis of PDEs · Mathematics 2012-01-13 Dmitry Vorotnikov

We present a microscopic model of a disordered viscoelastic active solid, i.e. an active material whose long time behaviour is elastic as opposed to viscous. It is composed of filaments, passive crosslinks and molecular motors powered by…

Soft Condensed Matter · Physics 2014-07-15 Rhoda J. Hawkins , Tanniemola B. Liverpool

Based on a detailed crossbridge model for individual myosin II motors, we systematically study the influence of mechanical load and adenosine triphosphate (ATP) concentration on small myosin II ensembles made from different isoforms. For…

Subcellular Processes · Quantitative Biology 2016-11-10 Thorsten Erdmann , Kathrin Bartelheimer , Ulrich S. Schwarz

We address the controversial hot question concerning the validity of the loose-coupling versus the lever-arm models in the actomyosin dynamics by re-interpreting and extending the washboard potential model proposed by some of us in a…

Biomolecules · Quantitative Biology 2007-05-23 A. Buonocore , L. Caputo , E. Pirozzi , L. M. Ricciardi

We consider the transport of rigid objects with internal structure in a flashing ratchet potential by investigating the overdamped behavior of a rod-like chain of evenly spaced point particles. In 1D, analytical arguments show that the…

Statistical Mechanics · Physics 2009-11-11 Erin M. Craig , Martin J. Zuckermann , Heiner Linke

We investigate a model for a Stirling-like engine consisting of a passive Brownian particle confined by a harmonic potential and interacting with a suspension of active Brownian particles that self-propel in a viscous solvent, which…

Soft Condensed Matter · Physics 2022-12-06 Carlos Antonio Guevara-Valadez , Rahul Marathe , Juan Ruben Gomez-Solano

In this paper we have presented the mechanism of the barrier crossing dynamics of a Brownian particle which is coupled to a thermal bath in the presence of both time independent and fluctuating magnetic fields. Here the following three…

Statistical Mechanics · Physics 2021-01-05 Shrabani Mondal , Mousumi Biswas , Bidhan Chandra Bag

Two headed motor proteins, such as kinesin and dynein, hidrolyze environmental ATP in order to propel unidirectionally along cytoskeletal filaments such as microtubules. In the case of kinesin, protein heads bind primarily on the alpha…

Statistical Mechanics · Physics 2007-05-23 G. P. Tsironis , K. Lindenberg

We analyze the dynamics of Brownian ratchets in a confined environment. The motion of the particles is described by a Fick-Jakobs kinetic equation in which the presence of boundaries is modeled by means of an entropic potential. The cases…

Soft Condensed Matter · Physics 2013-05-23 Paolo Malgaretti , Ignacio Pagonabarraga , J. Miguel Rubi

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

We propose a biochemical model providing the kinetic and energetic descriptions of the processivity dynamics of kinesin and dinein molecular motors. Our approach is a modified version of a well known model describing kinesin dynamics and…

Subcellular Processes · Quantitative Biology 2012-05-17 J. Lopez Alamilla , I. Santamaria-Holek

Routinely navigating through an ever-changing and unsteady environment, and utilizing chemical energy, molecular motors transport the cell's crucial components, such as neurotransmitters and organelles. They generate force and pull cargo,…

Biological Physics · Physics 2012-09-28 Bartosz Lisowski , Michał Żabicki

A model of Brownian particles with the ability to take up energy from the environment, to store it in an internal depot, and to convert internal energy into kinetic energy of motion, is discussed. The general dynamics outlined in Sect. 2 is…

Statistical Mechanics · Physics 2009-10-31 Benno Tilch , Frank Schweitzer , Werner Ebeling

The study of motor protein dynamics within cytoskeletal networks is of high interest to physicists and biologists to understand how the dynamics and properties of individual motors lead to cooperative effects and control of overall network…

Subcellular Processes · Quantitative Biology 2020-06-24 Lewis Mosby , Marco Polin , Darius V. Köster

We have realized a Brownian motor by using cold atoms in a dissipative optical lattice as a model system. In our experiment the optical potential is spatially symmetric and the time-symmetry of the system is broken by applying appropriate…

Statistical Mechanics · Physics 2009-11-11 P. H. Jones , M. Goonasekera , F. Renzoni

In this work we study the assisted translocation of a polymer across a membrane nanopore, inside which a molecular motor exerts a force fuelled by the hydrolysis of ATP molecules. In our model the motor switches to its active state for a…

Soft Condensed Matter · Physics 2018-03-26 A. Fiasconaro , J. J. Mazo , F. Falo

A colloidal suspension of active Brownian particles (ABPs) driven by controllable forces into directed or persistent motions can serve as a model for understanding the biological systems. Experiments and numerical simulations are…

Soft Condensed Matter · Physics 2019-08-27 Chong Shen , Lanfang Li , Zhiyu Jiang , H. Daneil Ou-Yang

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

Many cell membrane proteins that bind to actin form dynamic clusters driven by contractile flows generated by the actomyosin machinery at the cell cortex. Recent evidence suggests that a necessary condition for the generation of these…

Soft Condensed Matter · Physics 2021-05-25 Sk Raj Hossein , Rituparno Mandal , Madan Rao

Power-law dwell times have been observed for molecular motors in living cells, but the origins of these trapped states are not known. We introduce a minimal model of motors moving on a two-dimensional network of filaments, and simulations…

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