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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

Biological transport is supported by collective dynamics of enzymatic molecules that are called motor proteins or molecular motors. Experiments suggest that motor proteins interact locally via short-range potentials. We investigate the…

Statistical Mechanics · Physics 2015-06-18 Hamid Teimouri , Anatoly B. Kolomeisky , Kareem Mehrabiani

Enzymatic molecules that actively support many cellular processes, including transport, cell division and cell motility, are known as motor proteins or molecular motors. Experimental studies indicate that they interact with each other and…

Biological Physics · Physics 2015-05-20 Daniel Celis-Garza , Hamid Teimouri , Anatoly B. Kolomeisky

In cells, most of cargos are transported by motor proteins along microtubule. Biophysically, unidirectional motion of large number of motor proteins along a single track can be described by totally asymmetric simple exclusion process…

Subcellular Processes · Quantitative Biology 2015-03-06 Minghua Song , Yunxin Zhang

We analyse the dynamics of overlapping antiparallel treadmilling microtubules in the presence of crosslinking processive motor proteins that counterbalance an external force. We show that coupling the force-dependent velocity of motors and…

Soft Condensed Matter · Physics 2015-05-30 Sudipto Muhuri , Ignacio Pagonabarraga , Jaume Casademunt

Molecular motors perform active movements along cytoskeletal filaments and drive the traffic of organelles and other cargo particles in cells. In contrast to the macroscopic traffic of cars, however, the traffic of molecular motors is…

Statistical Mechanics · Physics 2009-12-04 Stefan Klumpp , Melanie J. I. Müller , Reinhard Lipowsky

We present a generic coarse-grained model to describe molecular motors acting on polymer substrates, mimicking, for example, RNA polymerase on DNA or kinesin on microtubules. The polymer is modeled as a connected chain of beads; motors are…

Soft Condensed Matter · Physics 2020-10-14 M. Foglino , E. Locatelli , C. A. Brackley , D. Michieletto , C. Likos , D. Marenduzzo

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

Inspired by patterns observed in mixtures of microtubules and molecular motors, we propose continuum equations for the evolution of motor density, and microtubule orientation. The chief ingredients are the transport of motors along tubules,…

Statistical Mechanics · Physics 2019-05-15 Ha Youn Lee , Mehran Kardar

Active gels are a class of biologically-relevant material containing embedded agents that spontaneously generate forces acting on a sparse filament network. In vitro experiments of protein filaments and molecular motors have revealed a…

Soft Condensed Matter · Physics 2024-06-03 David A. Head , Gerhard Gompper , W. J. Briels

Motor enzymes are remarkable molecular machines that use the energy derived from the hydrolysis of a nucleoside triphosphate to generate mechanical movement, achieved through different steps that constitute their kinetic cycle. These…

Subcellular Processes · Quantitative Biology 2014-09-05 Luca Ciandrini , M. Carmen Romano , A. Parmeggiani

Assembly and disassembly dynamics of microtubules (MTs) is tightly controlled by MT associated proteins. Here, we investigate how plus-end-directed depolymerases of the kinesin-8 family regulate MT depolymerization dynamics. Employing an…

Biological Physics · Physics 2011-11-15 Louis Reese , Anna Melbinger , Erwin Frey

Transport of molecular motors along protein filaments in a half-closed geometry is a common feature of biologically relevant processes in cellular protrusions. Using a lattice gas model we study how the interplay between active and…

Biological Physics · Physics 2017-03-30 Isabella R. Graf , Erwin Frey

Molecular motors are macromolecular complexes which use some form of input energy to perform mechanical work. The filamentary tracks, on which these motors move, are made of either proteins (e.g., microtubules) or nucleic acids (DNA or…

We study a minimal lattice model which describes bidirectional transport of "particles" driven along a one dimensional track, as is observed in microtubule based, motor protein driven bidirectional transport of cargo vesicles, lipid bodies…

Statistical Mechanics · Physics 2011-09-29 Sudipto Muhuri , Lenin Shagolsem , Madan Rao

Motor proteins drive persistent motion and self-organisation of cytoskeletal filaments. However, state-of-the-art microscopy techniques and continuum modelling approaches focus on large length and time scales. Here, we perform…

Soft Condensed Matter · Physics 2024-06-03 Gerrit Vliegenthart , Arvind Ravichandran , Marisol Ripoll , Thorsten Auth , Gerhard Gompper

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

Motivated by the recent experimental observations on clustering of motor proteins on microtubule filament, we study an open system of two parallel totally asymmetric simple exclusion processes under asymmetric coupling conditions, which…

Statistical Mechanics · Physics 2016-03-23 Arvind Kumar Gupta

Molecular motors interacting with cytoskeletal filaments undergo peculiar random walks consisting of alternating sequences of directed movements along the filaments and diffusive motion in the surrounding solution. An ensemble of motors is…

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

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