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Three problems in the statistical mechanics of models for an assembly of molecular motors interacting with cytoskeletal filaments are reviewed. First, a description of the hydrodynamical behaviour of density-density correlations in…

Statistical Mechanics · Physics 2009-11-11 Gautam I. Menon

Motor proteins that specifically interact with the ends of cytoskeletal filaments can induce filament depolymerization. A phenomenological description of this process is presented. We show that under certain conditions motors dynamically…

Subcellular Processes · Quantitative Biology 2009-11-11 Gernot A. Klein , Karsten Kruse , Gianaurelio Cuniberti , Frank Juelicher

Long-distance bidirectional transport of organelles depends on the motor proteins kinesin and dynein. Using quantitative data obtained from a fungal model system, we previously developed ASEP-models of bidirectional motion of motors along…

Statistical Mechanics · Physics 2012-11-22 Congping Lin , Peter Ashwin , Gero Steinberg

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

Linear bio-molecular motors move unidirectionally along a track by coordinating several different processes, such as fuel (ATP) capture, hydrolysis, conformational changes, binding and unbinding from a track, and center-of-mass diffusion. A…

Statistical Mechanics · Physics 2015-05-18 Nathan J. Kuwada , Gerhard A. Blab , Heiner Linke

We study the traffic of two types of molecular motors using the two-species symmetric simple exclusion process (ASEP) with periodic boundary conditions and with attachment and detachment of particles. We determine characteristic properties…

Biological Physics · Physics 2009-11-26 Yan Chai , Stefan Klumpp , Melanie J. I. Muller , Reinhard Lipowsky

Cytoskeletal motor proteins are involved in major intracellular transport processes which are vital for maintaining appropriate cellular function. The motor exhibits distinct states of motility: active motion along filaments, and…

Biological Physics · Physics 2016-11-29 Anne E. Hafner , Ludger Santen , Heiko Rieger , M. Reza Shaebani

Cells accomplish diverse functions using the same molecular building blocks, from setting up cytoplasmic flows to generating mechanical forces. In particular, transitions between these non-equilibrium states are triggered by regulating the…

Soft Condensed Matter · Physics 2022-01-03 Bibi Najma , Minu Varghese , Lev Tsidilkovski , Linnea Lemma , Aparna Baskaran , Guillaume Duclos

We introduce a multi-species lattice gas model for motor protein driven collective cargo transport on cellular filaments. We use this model to describe and analyze the collective motion of interacting vesicle cargoes being carried by…

Statistical Mechanics · Physics 2010-09-10 Sudipto Muhuri , Ignacio Pagonabarraga

Motor proteins are key players in intracellular transport processes and biological motion. Theoretical modeling of these systems has been achieved by the use of step processes on one-dimensional lattices. After a comprehensive introduction…

Statistical Mechanics · Physics 2007-05-23 Hauke Hinsch , Roger Kouyos , Erwin Frey

In intracellular transports, motor proteins transport macromolecules as cargos to desired locations by moving on biopolymers such as microtubules. Recent experiments suggest that cargos that can associate motor proteins during their…

Biological Physics · Physics 2023-07-04 Sutapa Mukherji , Dhruvi K. Patel

The cellular cytoskeleton is an active material, driven out of equilibrium by molecular motor proteins. It is not understood how the collective behaviors of cytoskeletal networks emerge from the properties of the network's constituent motor…

Subcellular Processes · Quantitative Biology 2017-12-19 Peter J. Foster , Wen Yan , Sebastian Fürthauer , Michael J. Shelley , Daniel J. Needleman

Fueled by the hydrolysis of ATP, the motor protein kinesin literally walks on two legs along the biopolymer microtubule. The number of accidental backsteps that kinesin takes appears to be much larger than what one would expect given the…

Subcellular Processes · Quantitative Biology 2009-11-13 M. Bier , F. J. Cao

Motivated by experimental results on the interplay between molecular motors and tau proteins, we extend lattice-based models of intracellular transport to include a second species of particle which locally influences the motor-filament…

Subcellular Processes · Quantitative Biology 2010-04-27 H. Grzeschik , R. J. Harris , L. Santen

A network of semiflexible biopolymers, known as the cytoskeleton, and molecular motors play fundamental mechanical roles in cellular activities. The cytoskeletal response to forces generated by molecular motors is profoundly linked to…

Soft Condensed Matter · Physics 2022-05-25 N. Honda , K. Shiraki , F. van Esterik , S. Inokuchi , H. Ebata , D. Mizuno

The dynamics of motor protein molecules that have two subunits is investigated using simple discrete stochastic models. Exact steady-state analytical expressions are obtained for velocities and dispersions for any number of intermediate…

Soft Condensed Matter · Physics 2015-06-25 Anatoly B. Kolomeisky , Hubert Phillips

By introducing the notion of a dynamic overlap concentration scale, we identify universal and previously unreported features of the mechanical properties of active colloids. These features are codified by recognizing that the characteristic…

Soft Condensed Matter · Physics 2021-11-10 Stewart A. Mallory , Ahmad K. Omar , John F. Brady

Cells are strongly out-of-equilibrium systems driven by continuous energy supply. They carry out many vital functions requiring active transport of various ingredients and organelles, some being small, others being large. The cytoskeleton,…

Biological Physics · Physics 2017-09-20 Cecile Appert-Rolland , Maximilian Ebbinghaus , Ludger Santen

Most models designed to study the bidirectional movement of cargos as they are driven by molecular motors rely on the idea that motors of different polarities can be coordinated by external agents if arranged into a motor-cargo complex to…

Biological Physics · Physics 2010-06-29 Carla Goldman

Reconstituted filamentous actin networks with myosin motor proteins form active gels, in which motor proteins generate forces that drive the network far from equilibrium. This motor activity can also strongly affect the network elasticity;…

Soft Condensed Matter · Physics 2010-09-21 C. P. Broedersz , F. C. MacKintosh