| Directed Motion of a Molecular Motor Based Qn the Four－State Model with Unequal Substeps |
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| 作者姓名： | WUWei-Xia ZHANYong ZHAOTong-Jun MEIJumPing |
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| 作者单位： | [1]SchoolofScience,HebeiUniversityofTechnology,Tianjin300130,China [2]SchoolofElectricalEngineering,HebeiUniversityofTechnology,Tianjin300130,China |
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| 摘 要： | A periodic one-dimensional four-state hopping model is proposed. In the model, the substeps between arbitrary adjacent states are unequal, and an explicit solution of the master equation is first obtained for the probability distribution as a function of the time and position for any initial distribution with all the transients included. Next, the transient behaviors in the initial period of time and the characteristic time to reach the steady state for the molecular motor are discussed. Finally, we compare the steady state results to experiments and illustrate qualitatively the kinetic behaviors of a molecular motor under external load F.
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| 关 键 词： | 主方程 概率分布 一维四阶跃迁模型 稳态过程 分子马达 特征时间 |
| 收稿时间： | 2002-10-30 |
Directed Motion of a Molecular Motor Based on the
Four-State Model with Unequal Substeps |
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| WUWei-Xia ZHANYong ZHAOTong-Jun MEIJumPing.Directed Motion of a Molecular Motor Based on the
Four-State Model with Unequal Substeps[J].Communications in Theoretical Physics,2003,40(1):9-14. |
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| Authors: | WU Wei-Xia ZHAN Yong ZHAO Tong-Jun GUAN Rong-Hua MEI Jun-Ping |
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| Institution: | 1. School of Science, Hebei University of Technology,
Tianjin 300130, China
;2. School of Electrical Engineering, Hebei University of
Technology, Tianjin 300130, China |
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| Abstract: | A periodic one-dimensional four-state hopping model is proposed. In the model, the substeps between arbitrary adjacent states are unequal, and an explicit solution of the master equation
is first obtained for the probability distribution as a function of the time and position for any initial distribution with all the transients included. Next, the transient behaviors in the initial period of time and the characteristic time to reach the
steady state for the molecular motor are discussed. Finally, we compare the steady state results to experiments and illustrate qualitatively the kinetic behaviors of a molecular motor under
external load F. |
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| Keywords: | hopping model master equation probability distribution characteristic time |
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