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DY: Dynamik und Statistische Physik

DY 14: Solitons and Stochastic Dynamics

DY 14.7: Talk

Monday, March 8, 2004, 16:00–16:15, H2

Lattice models for movements of molecular motors — •Stefan Klumpp and Reinhard Lipowsky — Max-Planck-Institut für Kolloid- und Grenzflächenforschung, 14424 Potsdam

Movements of molecular motors which bind to and unbind from cytoskeletal filaments can be studied using lattice models. Motors bound to filaments perform biased random walks, while unbound motors perform symmetric random walks. Motor–motor interactions such as mutual exclusion from binding sites of the filaments are easily incorporated into these models, which then represent new variants of driven lattice gas models or exclusion processes, where the driving is localized to the filaments.

These models exhibit stationary states characterized by traffic jams and by the coexistence of a crowded region with a low density region [1] and boundary-induced phase transitions related to those of the one-dimensional asymmetric simple exclusion process [2].

[1] R. Lipowsky, S. Klumpp, and T. M. Nieuwenhuizen, Phys. Rev. Lett. 87, 108101 (2001).

[2] S. Klumpp and R. Lipowsky, J. Stat. Phys. 113, 233 (2003).