Title: Dynamics of molecular motors in reversible burnt-bridge models
Author(s):

	M.N. Artyomov (Department of Chemistry, Massachusetts Institute of Technology, Cambridge, MA 02139, USA) ,
	A.Yu. Morozov (Department of Physics and Astronomy, University of California, Los Angeles, Los Angeles, CA 90095, USA) ,
	A.B. Kolomeisky (Department of Chemistry, Rice University, Houston, TX 77005, USA)

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 p₁ and p₂ correspondingly. Dynamic properties, such as velocities and dispersions, are obtained in exact and explicit form for arbitrary values of parameters p₁ and p₂. 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.

Key words: molecular motors, stochastic models, motor proteins
PACS: 87.16.Ac