Stokes efficiency of molecular motor-cargo systems
type: Item
instance of: scholarly article
title: Stokes efficiency of molecular motor-cargo systems
zbMATH Open document ID: 1141.92044
DOI: 10.1155/2008/241736
author: Hongyun Wang
author: Hong Zhou
published in: Abstract and Applied Analysis
publication date: 2008-08-19T00:00:00Z
full work available at URL: https://eudml.org/doc/54379
review text: Summary: A molecular motor utilizes chemical free energy to generate a unidirectional motion through a viscous fluid. In many experimental and biological settings, a molecular motor is elastically linked to a cargo. The stochastic motion of a molecular motor-cargo system is governed by a set of Langevin equations, each corresponding to an individual chemical occupancy state. The change of the chemical occupancy state is modeled by a continuous time discrete space Markov process. The probability density of a motor-cargo system is governed by a two-dimensional Fokker-Planck equation. The operation of a molecular motor is dominated by high viscous friction and large thermal fluctuations from the surrounding fluid. The instantaneous velocity of a molecular motor is highly stochastic: the past velocity is quickly damped by the viscous friction and the new velocity is quickly excited by bombardments of surrounding fluid molecules. Thus, the theory for macroscopic motors should not be applied directly to molecular motors without close examination. In particular, a molecular motor behaves differently working against a viscous drag than working against a conservative force. The Stokes efficiency was introduced to measure how efficiently a motor uses chemical free energy to drive against a viscous drag. For a motor without cargo, it was proved that the Stokes efficiency is bounded by 100\%. Here, we present a proof for the general motor-cargo system.
Mathematics Subject Classification ID: 92E99
Mathematics Subject Classification ID: 60J20
Mathematics Subject Classification ID: 76D99
Mathematics Subject Classification ID: 92E20
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 5313188
Wikidata QID: Q58644302
MaRDI profile type: Publication
OpenAlex ID: W1964424316
cites work: Q4443620
cites work: Q3236913
cites work: Q4597626
cites work: Statistical physics II. Nonequilibrium statistical mechanics.
cites work: The Fokker-Planck equation. Methods of solution and applications.
description: scientific article; zbMATH DE number 5313188