Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-12-06
Traffic and Granular Flow '05, edited by A. Schadschneider et al. (Springer, Berlin, 2007), pp. 251-261
Physics
Condensed Matter
Statistical Mechanics
10 pages, latex, uses Springer styles (included), to appear in the Proceedings of "Traffic and Granular Flow 2005"
Scientific paper
10.1007/978-3-540-47641-2_20
Molecular motors perform active movements along cytoskeletal filaments and drive the traffic of organelles and other cargo particles in cells. In contrast to the macroscopic traffic of cars, however, the traffic of molecular motors is characterized by a finite walking distance (or run length) after which a motor unbinds from the filament along which it moves. Unbound motors perform Brownian motion in the surrounding aqueous solution until they rebind to a filament. We use variants of driven lattice gas models to describe the interplay of their active movements, the unbound diffusion, and the binding/unbinding dynamics. If the motor concentration is large, motor-motor interactions become important and lead to a variety of cooperative traffic phenomena such as traffic jams on the filaments, boundary-induced phase transitions, and spontaneous symmetry breaking in systems with two species of motors. If the filament is surrounded by a large reservoir of motors, the jam length, i.e., the extension of the traffic jams is of the order of the walking distance. Much longer jams can be found in confined geometries such as tube-like compartments.
Klumpp Stefan
Lipowsky Reinhard
Müller Melanie J. I.
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