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Kinesins are processive motor proteins that move along microtubules in a stepwise manner, and their motion is powered by the hydrolysis of ATP. Recent experiments have investigated the coupling between the individual steps of single kinesin…

Soft Condensed Matter · Physics 2009-11-10 Anatoly B. Kolomeisky , Evgeny B. Stukalin , Alex A. Popov

Length-regulation of microtubules (MTs) is essential for many cellular processes. Molecular motors like kinesin 8, which move along MTs and also act as depolymerases, are known as key players in MT dynamics. However, the regulatory…

Subcellular Processes · Quantitative Biology 2012-10-18 Anna Melbinger , Louis Reese , Erwin Frey

Active stresses, which are collectively generated by the motion of energy-consuming rod-like constituents, generate chaotic autonomous flows. Controlling active stresses in space and time is an essential prerequisite for controlling the…

Soft Condensed Matter · Physics 2022-09-15 Linnea M. Lemma , Minu Varghese , Tyler D. Ross , Matt Thomson , Aparana Baskaran , Zvonimir Dogic

Motor-driven cytoskeletal remodeling in cellular systems can often be accompanied by a diffusive-like effect at local scales, but distinguishing the contributions of the ordering process, such as active contraction of a network, from this…

Biological Physics · Physics 2024-08-22 Soichi Hirokawa , Heun Jin Lee , Rachel A Banks , Ana I Duarte , Bibi Najma , Matt Thomson , Rob Phillips

We propose a theory based on non-equilibrium thermodynamics to describe the mechanical behavior of an active polymer gel created by the inclusion of molecular motors in its solvent. When activated, these motors attach to the chains of the…

Soft Condensed Matter · Physics 2019-05-31 Mattia Bacca , Omar A. Saleh , Robert M. McMeeking

Molecular-motor generated active stresses drive the cytoskeleton away from equilibrium, endowing it with tunable mechanical properties that are essential for diverse functions such as cell division and motility[1-5]. Designing analogous…

We derive a model describing spatio-temporal organization of an array of microtubules interacting via molecular motors. Starting from a stochastic model of inelastic polar rods with a generic anisotropic interaction kernel we obtain a set…

Soft Condensed Matter · Physics 2007-05-23 Igor S. Aronson , Lev S. Tsimring

Inside cells, various cargos are transported by teams of molecular motors. Intriguingly, the motors involved generally have opposite pulling directions, and the resulting cargo dynamics is a biased stochastic motion. It is an open question…

Biological Physics · Physics 2017-09-20 Sarah Klein , Cécile Appert-Rolland , Ludger Santen

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

The kinesin superfamily of motor proteins is a major driver of anterograde transport of vesicles and organelles within eukaryotic cells via microtubules. Numerous studies have elucidated the step-size, velocities, forces, and navigation…

Biomolecules · Quantitative Biology 2024-10-07 Mason Grieb , Nimisha Krishnan , Jennifer L. Ross

We present experimental and theoretical studies of the dynamics of molecular motors in microtubule arrays and asters. By solving a convection-diffusion equation we find that the density profile of motors in a two-dimensional aster is…

Soft Condensed Matter · Physics 2009-10-31 Francois Nedelec , Thomas Surrey , A. C. Maggs

The cytoskeleton is regulated by a plethora of enzymes that influence the stability and dynamics of cytoskeletal filaments. Molecular motors of the kinesin-8 protein family depolymerise microtubules in a length-dependent manner, and…

Subcellular Processes · Quantitative Biology 2014-10-29 Louis Reese , Anna Melbinger , Erwin Frey

Cellular cargo can be bound to cytoskeletal filaments by one or multiple active or passive molecular motors. Recent experiments have shown that the presence of auxiliary, nondriving motors, results in an enhanced processivity of the cargo,…

Biomolecules · Quantitative Biology 2019-03-27 Filippo Posta , Maria R. D'Orsogna , Tom Chou

Active matter locally converts chemical energy into mechanical work and, for this reason, it provides new mechanisms of pattern formation. In particular, active gels made of protein motors and filaments are far-from-equilibrium systems that…

In this work we study a microtubule (MT) model, whose length is regulated by the action of processive kinesin motors. We treat the case of infinite processivity, i.e. particle exchange in the bulk is neglected. The exact results can be…

Statistical Mechanics · Physics 2015-06-25 Chikashi Arita , Alexander Lück , Ludger Santen

Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a…

Biological Physics · Physics 2019-06-07 Wonseok Hwang , Changbong Hyeon

Microtubules and motor proteins self organize into biologically important assemblies including the mitotic spindle and the centrosomal microtubule array. Outside of cells, microtubule-motor mixtures can form novel active liquid-crystalline…

Soft Condensed Matter · Physics 2016-01-20 Tong Gao , Robert Blackwell , Matthew A. Glaser , M. D. Betterton , Michael J. Shelley

We derive the constitutive equations of an active polar gel from a model for the dynamics of elastic molecules that link polar elements. Molecular binding kinetics induces the fluidization of the material, giving rise to Maxwell…

Biological Physics · Physics 2017-03-01 David Oriola , Ricard Alert , Jaume Casademunt

We propose a two-dimensional model for the organization of stabilized microtubules driven by molecular motors in an unconfined geometry. In this model two kinds of dynamics are competing. The first one is purely diffusive, with an…

Statistical Mechanics · Physics 2019-08-17 B. Bassetti , M. Cosentino Lagomarsino , P. Jona

Dimeric molecular motors walk on polar tracks by binding and hydrolyzing one ATP per step. Despite tremendous progress, the waiting state for ATP binding in the well-studied kinesin that walks on microtubule (MT), remains controversial. One…

Subcellular Processes · Quantitative Biology 2022-06-08 Ryota Takaki , Mauro L. Mugnai , Yonathan Goldtzvik , D. Thirumalai