Summary
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Howard: Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Sunderland 2001)
M. Schliwa, editor: Molecular motors (Wiley-VCH, Weinheim 2003)
M. Schliwa, G. Woehlke: Nature 422, 759 (2003)
R. Lipowsky, S. Klumpp, T. M. Nieuwenhuizen: Phys. Rev. Lett. 87, 108101 (2001)
T. M. Nieuwenhuizen, S. Klumpp, R. Lipowsky: Europhys. Lett. 58, 468 (2002)
S. Klumpp, R. Lipowsky: J. Stat. Phys. 113, 233 (2003)
S. Klumpp, R. Lipowsky: Europhys. Lett. 66, 90 (2004)
T. M. Nieuwenhuizen, S. Klumpp, R. Lipowsky: Phys. Rev. E 69, 061911 (2004)
S. Klumpp, T. M. Nieuwenhuizen, R. Lipowsky: Biophys. J. 88, 3118 (2005)
R. Lipowsky, S. Klumpp: Physica A 352, 53 (2005)
M. J. I. Müller, S. Klumpp, R. Lipowsky: J. Phys.: Condens. Matter 17, S3839 (2005)
A. Parmeggiani, T. Franosch, E. Frey: Phys. Rev. Lett. 90, 086601 (2003)
M. R. Evans, R. Juhász, L. Santen: Phys. Rev. E 68, 026117 (2003)
V. Popkov, A. Rákos, R. D. Willmann, A. B. Kolomeisky, G. M. Schütz: Phys. Rev. E 67, 066117 (2003)
G. Klein, K. Kruse, G. Cuniberti, F. Jülicher: Phys. Rev. Lett. 94, 108102 (2005)
C. M. Arizmendi, H. G. E. Hentschel, F. Family: Physica A 356, 6 (2005)
K. Nishinari, Y. Okada, A. Schadschneider, D. Chowdhury: Phys. Rev. Lett. 95, 118101 (2005)
S. Katz, J. L. Lebowitz, H. Spohn: J. Stat. Phys. 34, 497 (1984)
J. Krug: Phys. Rev. Lett. 67, 1882 (1991)
A. B. Kolomeisky, G. M. Schütz, E. B. Kolomeisky, J. P. Straley: J. Phys. A: Math. Gen. 31, 6911 (1998)
Y. Kafri, E. Levine, D. Mukamel, G. M. Schütz, J. Török: Phys. Rev. Lett. 89, 035702 (2002)
K. Nagel, M. Schreckenberg: J. Phys. I France 2, 2221 (1992)
D. Chowdhury, L. Santen, A. Schadschneider: Phys. Rep. 329, 199 (2000)
S. Klumpp, R. Lipowsky: Proc. Natl. Acad. Sci. USA 102, 17284 (2005)
I. Derényi, T. Vicsek: Phys. Rev. Lett. 75, 374 (1995)
I. Derényi, A. Ajdari: Phys. Rev. E 54, R5 (1996)
Y. Aghababaie, G. I. Menon, M. Plischke: Phys. Rev. E 59, 2578 (1999)
S. Konzack: Funktion des Kinesin Motorproteins KipA bei der Organisation des Mikrotubuli-Cytoskeletts und beim polaren Wachstum von Aspergillus nidulans. Ph.D. thesis, Universität Marburg (2004)
S. Konzack, P. E. Rischitor, C. Enke, R. Fischer: Mol. Biol. Cell 16, 497 (2005)
C. Leduc, O. Campàs et al.: Proc. Natl. Acad. Sci. USA 101, 17096 (2004)
M. R. Evans, D. P. Foster, C. Godrèche, D. Mukamel: Phys. Rev. Lett. 74, 208 (1995)
A. Rákos, M. Paessens, G. M. Schütz: Phys. Rev. Lett. 91, 238302 (2003)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Klumpp, S., Müller, M.J.I., Lipowsky, R. (2007). Traffic of Molecular Motors. In: Schadschneider, A., Pöschel, T., Kühne, R., Schreckenberg, M., Wolf, D.E. (eds) Traffic and Granular Flow’05. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-47641-2_20
Download citation
DOI: https://doi.org/10.1007/978-3-540-47641-2_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-47640-5
Online ISBN: 978-3-540-47641-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)