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In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

Recent experiments reveal both passive subdiffusion of various nanoparticles and anomalous active transport of such particles by molecular motors in the molecularly crowded environment of living biological cells. Passive and active…

Biological Physics · Physics 2014-03-24 Igor Goychuk , Vasyl O. Kharchenko , R. Metzler

The collective behavior of molecular motor proteins have been investigated in the literature using models to describe the long-time dynamics of a unidimensional continuum motor distribution. Here, we consider the phenomena related to the…

Subcellular Processes · Quantitative Biology 2008-03-20 Daniel Gomes Lichtenthaler , Carla Goldman

We propose and analyze a mathematical model of cargo transport by non-processive molecular motors. In our model, the motors change states by random discrete events (corresponding to stepping and binding/unbinding), while the cargo position…

Subcellular Processes · Quantitative Biology 2018-09-28 Christopher E. Miles , Sean D. Lawley , James P. Keener

We use stochastic computer simulations to study the transport of a spherical cargo particle along a microtubule-like track on a planar substrate by several kinesin-like processive motors. Our newly developed adhesive motor dynamics…

Subcellular Processes · Quantitative Biology 2010-02-24 Christian B. Korn , Stefan Klumpp , Reinhard Lipowsky , Ulrich S. Schwarz

Many types of motile cells perform durotaxis, namely, directed migration following gradients of substrate stiffness. Recent experiments have revealed that cell monolayers can migrate toward stiffer regions even when individual cells do not…

Biological Physics · Physics 2022-01-26 Irina Pi-Jaumà , Ricard Alert , Jaume Casademunt

The flow of motor proteins on a filamental track is modelled within the the framework of lattice driven diffusive systems. Motors, considered as hopping particles, perform a highly biased asymmetric exclusion process when bound to the…

Statistical Mechanics · Physics 2007-05-23 M. Ebrahim Fouladvand , Modjtaba Salehi , Mostafa Yadegari

Molecular motors power directed transport of cargoes within cells. Even if a single motor is sufficient to transport a cargo, motors often cooperate in small teams. We discuss the cooperative cargo transport by several motors theoretically…

Subcellular Processes · Quantitative Biology 2007-05-23 Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

Active filaments, such as microtubules with attached cargo-carrying motor proteins, are important dynamic structures for fluid transport in and around living cells. The mathematical models of active filaments appearing in the literature…

Fluid Dynamics · Physics 2025-08-19 Ilteber R. Ozdemir , Bethany Clarke , Yongyun Hwang , Eric E. Keaveny

Molecular motion through pores plays a crucial role in various natural and industrial processes. One of the most fascinating features of biological channel-facilitated transport is a stochastic gating process, when the channels dynamically…

Chemical Physics · Physics 2018-12-20 Aram Davtyan , Anatoly B. Kolomeisky

We consider the dynamics of a rigid filament in a motor protein assay under external loading. The motor proteins are modeled as active harmonic linkers with tail ends immobilized on a substrate. Their heads attach to the filament…

Biological Physics · Physics 2021-12-23 Amir Shee , Subhadip Ghosh , Debasish Chaudhuri

Processive molecular motors which drive the traffic of organelles in cells move in a directed way along cytoskeletal filaments. On large time scales, they perform motor walks, i.e., peculiar random walks which arise from the repeated…

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

In cells, cytoskeletal filament networks are responsible for cell movement, growth, and division. Filaments in the cytoskeleton are driven and organized by crosslinking molecular motors. In reconstituted cytoskeletal systems, motor activity…

We present a simple model for the bidirectional dynamics of actin bundles with alternating polarities in gliding assays with non-processive myosin motors. In the model, the bundle is represented as an elastic chain consisting of monomers…

Soft Condensed Matter · Physics 2015-05-19 Barak Gur , Oded Farago

The mechanics of cells is strongly affected by molecular motors that generate forces in the cellular cytoskeleton. We develop a model for cytoskeletal networks driven out of equilibrium by molecular motors exerting transient contractile…

Soft Condensed Matter · Physics 2009-11-13 Fred C. MacKintosh , Alex J. Levine

Here we study a driven lattice gas model for microtubule depolymerizing molecular motors, where traffic jams of motors induce stochastic switching between microtubule growth and shrinkage. We term this phenomenon \enquote{traffic dynamic…

Statistical Mechanics · Physics 2015-05-07 Louis Reese , Anna Melbinger , Erwin Frey

We further study the stochastic model discussed in Ref.[2] in which positive and negative particles diffuse in an asymmetric, CP invariant way on a ring. The positive particles hop clockwise, the negative counter-clockwise and…

Statistical Mechanics · Physics 2007-05-23 Peter F. Arndt , Vladimir Rittenberg

We propose a stochastic model for intracellular transport processes associated with the activity of molecular motors. This out-of-equilibrium model, based on a generalized Langevin equation, considers a particle immersed in a viscoelastic…

Biological Physics · Physics 2009-04-15 L. Bruno , M. A. Despósito

We investigate a driven two-channel system where particles on different lanes mutually obstruct each others motion extending an earlier model by Popkov and Peschel [1]. This obstruction may occur in biological contexts due to steric…

Biological Physics · Physics 2015-03-13 Anna Melbinger , Tobias Reichenbach , Thomas Franosch , Erwin Frey

Living cells exhibit multi-mode transport that switches between an active, self-propelled motion and a seemingly passive, random motion. Cellular decision-making over transport mode switching is a stochastic process that depends on the…

Biological Physics · Physics 2020-10-28 Seungsoo Hahn , Sanggeun Song , Dae Hyun Kim , Gil-Suk Yang , Kang Taek Lee , Jaeyoung Sung