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A simplified tether model for molecular motor transporting cargo |
| Li Fang-Zhen(李防震)† and Jiang Li-Chun (蒋立春) |
| School of Computer Science & Engineering, Shandong Economic University, Jinan 250014, China |
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Abstract Molecular motors are proteins or protein complexes which function as transporting engines in biological cells. This paper models the tether between motor and its cargo as a symmetric linear potential. Different from Elston and Peskin's work for which performance of the system was discussed only in some limiting cases, this study produces analytic solutions of the problem for general cases by simplifying the transport system into two physical states, which makes it possible to discuss the dynamics of the motor--cargo system in detail. It turns out that the tether strength between motor and cargo should be greater than a threshold or the motor will fail to transport the cargo, which was not discussed by former researchers yet. Value of the threshold depends on the diffusion coefficients of cargo and motor and also on the strength of the Brownian ratchets dragging the system. The threshold approaches a finite constant when the strength of the ratchet tends to infinity.
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Received: 12 August 2008
Revised: 24 April 2009
Accepted manuscript online:
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PACS:
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87.16.Nn
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(Motor proteins (myosin, kinesin dynein))
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87.15.Vv
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(Diffusion)
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87.16.A-
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(Theory, modeling, and simulations)
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| Fund: Project supported by the National
Natural Science Foundation of China (Grant No.~30600121) and
Doctoral Foundation of Shandong Province of China (Grant
No.~2007BS09002). |
Cite this article:
Li Fang-Zhen(李防震) and Jiang Li-Chun (蒋立春) A simplified tether model for molecular motor transporting cargo 2010 Chin. Phys. B 19 020503
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