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Ma, R; Li, M; Ou-Yang, ZC; Shu, YG; Ma, R (reprint author), Tsinghua Univ, Inst Adv Study, Beijing, Peoples R China.
Master equation approach for a cross-bridge power-stroke model with a finite number of motors
Source PublicationPHYSICAL REVIEW E
Language英语
KeywordMolecular Motors Organelle Transport Cargo Transport Kinesin Muscle Contraction
AbstractThe 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.
2013
ISSN1539-3755
Volume87Issue:5Pages:52718
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Basic Research Program of China (973 program) [2013CB932804]; National Natural Science Foundation of China [91027045, 11075015] ; National Basic Research Program of China (973 program) [2013CB932804]; National Natural Science Foundation of China [91027045, 11075015] ; National Basic Research Program of China (973 program) [2013CB932804]; National Natural Science Foundation of China [91027045, 11075015] ; National Basic Research Program of China (973 program) [2013CB932804]; National Natural Science Foundation of China [91027045, 11075015]
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Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15357
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorMa, R (reprint author), Tsinghua Univ, Inst Adv Study, Beijing, Peoples R China.
Recommended Citation
GB/T 7714
Ma, R,Li, M,Ou-Yang, ZC,et al. 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 Ma, R,Li, M,Ou-Yang, ZC,Shu, YG,&Ma, R .(2013).Master equation approach for a cross-bridge power-stroke model with a finite number of motors.PHYSICAL REVIEW E,87(5),52718.
MLA Ma, R,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.
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