Master equation approach for a cross-bridge power-stroke model with a finite number of motors

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	Master equation approach for a cross-bridge power-stroke model with a finite number of motors
	Li, M; Ou-Yang, ZC
刊名	PHYSICAL REVIEW E
	2013
卷号	87 期号:5 页码:52718
关键词	MOLECULAR MOTORS ORGANELLE TRANSPORT CARGO TRANSPORT KINESIN MUSCLE CONTRACTION
ISSN号	1539-3755
通讯作者	Ma, R (reprint author), Tsinghua Univ, Inst Adv Study, Beijing, Peoples R China.
英文摘要	The cross-bridge power-stroke model has been widely used to describe the motion of large motor assemblies connected to a common rigid filament. In this paper, we go beyond the original velocity-ensemble approach and propose a master equation approach to account for the cooperative motion of a finite number of motors based on the cross-bridge model. By studying the force-velocity relationship for motors with strain-independent detachment rate, we show the convergence of our approach to the velocity-ensemble approach in the limit of large motor numbers. In the case that the detachment rate of motors is strain dependent, based on two assumptions for the strain distribution among motors, we show the occurrence of the bimodal distribution of the number of motors bound to the filament. This provides a new perspective to look at the instability of a multimotor system, which is essential for all the experimentally observed complex motions displayed by a group of motors, such as hysteresis, bidirectional motion, and spontaneous oscillation. By comparing the velocities calculated using the two assumptions with the stochastic simulation, it suggests that the coupling between motors via the common connection to the filament might facilitate the fast movement of filaments at small loading forces.
学科主题	Physics
收录类别	SCI
资助信息	National Basic Research Program of China (973 program) [2013CB932804]; National Natural Science Foundation of China [91027045, 11075015]
原文出处	http://dx.doi.org/10.1103/PhysRevE.87.052718
语种	英语
WOS记录号	WOS:000319738000012
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15357]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Li, M,Ou-Yang, ZC. Master equation approach for a cross-bridge power-stroke model with a finite number of motors[J]. PHYSICAL REVIEW E,2013,87(5):52718.
APA	Li, M,&Ou-Yang, ZC.(2013).Master equation approach for a cross-bridge power-stroke model with a finite number of motors.PHYSICAL REVIEW E,87(5),52718.
MLA	Li, M,et al."Master equation approach for a cross-bridge power-stroke model with a finite number of motors".PHYSICAL REVIEW E 87.5(2013):52718.