Directed Motion of a Molecular Motor Based on the Four-State Model with Unequal Substeps

O4; A periodic one-dimensional four-state hopping model is proposed. In the model, the substeps betweenarbitrary adjacent states are unequal, and an explicit solution of the master equation is first obtained for the probabilitydistribution as a function of the time and position for any initial distr...

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Published in:理论物理通讯(英文版) 2003, Vol.40 (7), p.9-14
Main Authors: WU Wei-Xia, ZHAN Yong, ZHAO Tong-Jun, Guan Rong-Hua, MEI Jun-Ping
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container_title 理论物理通讯(英文版)
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creator WU Wei-Xia
ZHAN Yong
ZHAO Tong-Jun
Guan Rong-Hua
MEI Jun-Ping
description O4; A periodic one-dimensional four-state hopping model is proposed. In the model, the substeps betweenarbitrary adjacent states are unequal, and an explicit solution of the master equation is first obtained for the probabilitydistribution as a function of the time and position for any initial distribution with all the transients included. Next, thetransient behaviors in the initial period of time and the characteristic time to reach the steady state for the molecularmotor are discussed. Finally, we compare the steady state results to experiments and illustrate qualitatively the kineticbehaviors of a molecular motor under external load F.
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title Directed Motion of a Molecular Motor Based on the Four-State Model with Unequal Substeps
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