Dynamics of Molecular Motors in Reversible Burnt-Bridge Models

Maxim N. Artyomov; Alexander Yu. Morozov; Anatoly B. Kolomeisky

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arXiv · 0911.4301

Dynamics of Molecular Motors in Reversible Burnt-Bridge Models

Maxim N. Artyomov·Alexander Yu. Morozov·Anatoly B. Kolomeisky

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Abstract

Dynamic properties of molecular motors whose motion is powered by interactions with specific lattice bonds are studied theoretically with the help of discrete-state stochastic "burnt-bridge" models. Molecular motors are depicted as random walkers that can destroy or rebuild periodically distributed weak connections ("bridges") when crossing them, with probabilities $p_1$ and $p_2$ correspondingly. Dynamic properties, such as velocities and dispersions, are obtained in exact and explicit form for arbitrary values of parameters $p_1$ and $p_2$. For the unbiased random walker, reversible burning of the bridges results in a biased directed motion with a dynamic transition observed at very small concentrations of bridges. In the case of backward biased molecular motor its backward velocity is reduced and a reversal of the direction of motion is observed for some range of parameters. It is also found that the dispersion demonstrates a complex, non-monotonic behavior with large fluctuations for some set of parameters. Complex dynamics of the system is discussed by analyzing the behavior of the molecular motors near burned bridges.

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Maxim N. Artyomov, Alexander Yu. Morozov, Anatoly B. Kolomeisky. 2009-11-22. Dynamics of Molecular Motors in Reversible Burnt-Bridge Models. https://arxiv.org/abs/0911.4301

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