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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Bibliographic Details
Published in理论物理通讯(英文版) Vol. 40; no. 7; pp. 9 - 14
Main Authors WU Wei-Xia, ZHAN Yong, ZHAO Tong-Jun, Guan Rong-Hua, MEI Jun-Ping
Format Journal Article
LanguageEnglish
Published School of Electrical Engineering, Hebei University of Technology, Tianjin 300130, China 2003
School of Science, Hebei University of Technology, Tianjin 300130, China%School of Science, Hebei University of Technology, Tianjin 300130, China
Subjects
hopping model
master equation
probability distribution
characteristic time
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Summary: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.
ISSN:0253-6102