Collective dynamics of molecular motors pulling on fluid membranes

Abstract

The collective dynamics of $N$ weakly coupled processive molecular motors are considered theoretically. We show, using a discrete lattice model, that the velocity-force curves strongly depend on the effective dynamic interactions between motors and differ significantly from a simple mean field prediction. They become essentially independent of $N$ if it is large enough. For strongly biased motors such as kinesin this occurs if $N\gtrsim 5$. The study of a two-state model shows that the existence of internal states can induce effective interactions.

5 pages, 5 figures

References in corpus (5)

• Formation and Interaction of Membrane Tubes
• Phase Coexistence in Driven One Dimensional Transport
• Cooperative Cargo Transport by Several Molecular Motors
• Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
• Elastically coupled molecular motors

Cited by in corpus (36)

• Stochastic mechano-chemical kinetics of molecular motors: a multidisciplinary enterprise from a physicist's perspective
• Theoretical Perspectives on Biological Machines
• Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
• Theoretical Analysis of Dynamic Processes for Interacting Molecular Motors
• Motility states of molecular motors engaged in a stochastic tug-of-war
• A dynamically extending exclusion process
• Correlations and Symmetry of Interactions Influence Collective Dynamics of Molecular Motors
• Phase diagram of two-lane driven diffusive systems
• Influence of direct motor-motor interaction in models for cargo transport by a single team of motors
• Non-equilibrium phase transitions in tubulation by molecular motors
• Condensation of actin filaments pushing against a barrier
• Force-velocity relations for multiple-molecular-motor transport
• Stochastic thermodynamics in many-particle systems
• Maximum power operation of interacting molecular motors
• Tug-of-war in motility assay experiments
• Tug-of-war of molecular motors: the effects of uneven load sharing
• Statistical properties of single-file diffusion front
• Using tensor network states for multi-particle Brownian ratchets
• Active elastohydrodynamics of vesicles in narrow, blind constrictions
• Sufficient conditions for the additivity of stall forces generated by multiple filaments or motors
• Temporal precision of molecular events with regulation and feedback
• Free energy and entropy production rate for a Brownian particle that walks on overdamped medium
• The dynamics of cargo driven by molecular motors in the context of asymmetric simple exclusion processes
• Entropy production and entropy extraction rates for a Brownian particle that walks in underdamped medium
• Collective transport of weakly interacting molecular motors with Langmuir kinetics
• Stall force of a cargo driven by N interacting motor proteins
• Role of interactions and correlations on collective dynamics of molecular motors along parallel filaments
• Interacting molecular motors: Efficiency and work fluctuations
• Cooperative molecular motors moving back and forth
• Does communication enhance pedestrians transport in the dark?
• Dynamics of relaxation to a stationary state for interacting molecular motors
• Cooperation and competition in the collective drive by motor proteins: Mean active force, fluctuations, and self-load
• Deep reinforcement learning for feedback control in a collective flashing ratchet
• Exact time-dependent analytical solutions for entropy production rate for a system that operates in a heat bath where its temperature varies linearly in space
• Extreme-Value Statistics of Stochastic Transport Processes: Applications to Molecular Motors and Sports
• Effect of viscous friction on entropy, entropy production and entropy extraction rates in underdamped and overdamped media