Abstract.
Motivated by the cytoskeleton of eukaryotic cells, we develop a general framework for describing the large-scale dynamics of an active filament network. In the cytoskeleton, active cross-links are formed by motor proteins that are able to induce relative motion between filaments. Starting from pair-wise interactions of filaments via such active processes, our framework is based on momentum conservation and an analysis of the momentum flux. This allows us to calculate the stresses in the filament network generated by the action of motor proteins. We derive effective theories for the filament dynamics which can be related to continuum theories of active polar gels. As an example, we discuss the stability of homogenous isotropic filament distributions in two spatial dimensions.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
B. Alberts , Molecular Biology of the Cell, 4th ed. (Garland, New York, 2002).
D. Bray, Cell Movements, 2nd ed. (Garland, New York, 2001).
J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Inc., Sunderland, 2001).
K. Kruse, J.F. Joanny, F. Jülicher, J. Prost, K. Sekimoto, Phys. Rev. Lett 92, 078101 (2004).
H.Y. Lee, M. Kardar, Phys. Rev. E 64, 056113 (2001).
J. Kim, Y. Park, B. Kahng, H.Y. Lee, J. Korean Phys. Soc. 42, 162 (2003).
J.F. Joanny, F. Jülicher, J. Prost, Phys. Rev. Lett. 90, 168102 (2003).
K. Kruse, A. Zumdieck, F. Jülicher, Europhys. Lett. 64, 716 (2003).
S. Sankararaman, G.I. Menon, P.B. Kumar, Phys. Rev. E 70, 031905 (2004).
K. Kruse, J.F. Joanny, F. Jülicher, J. Prost, K. Sekimoto, Eur. Phys. J. E 16, 5 (2005).
A. Zumdieck, M. Cosentino Lagomarsino, C. Tanase, K. Kruse, B. Mulder, M. Dogterom, F. Jülicher, Phys. Rev. Lett. 95, 258103 (2005).
K. Takiguchi, J. Biochem. 109, 520 (1991).
F.J. Nédélec, T. Surrey, A.C. Maggs, S. Leibler, Nature 389, 305 (1997).
T. Surrey, M.B. Elowitz, P.E. Wolf, F. Yang, F. Nédélec, K. Shokat, S. Leibler, Proc. Natl. Acad. Sci. U.S.A. 95, 4293 (1998).
F.J. Nédélec, T. Surrey, A.C. Maggs, Phys. Rev. Lett. 86, 3192 (2001).
T. Surrey, F. Nédélec, S. Leibler, E. Karsenti, Science 292, 1167 (2001).
D. Humphrey, C. Duggan, D. Saha, D. Smith, J. Käs, Nature 416, 413 (2002).
Y. Tanaka-Takiguchi, T. Kakei, A. Tanimura, A. Takagi, M. Honda, H. Hotani, K. Takiguchi, J. Mol. Biol. 341, 467 (2004).
K. Sekimoto, H. Nakazawa, in Current Topics in Physics, edited by Y.M. Choe, J.B. Hong, C.N. Chang (World Scientific, Singapore, 1998) p. 394, physics/0004044.
K. Kruse, F. Jülicher, Phys. Rev. Lett. 85, 1778 (2000).
K. Kruse, S. Camalet, F. Jülicher, Phys. Rev. Lett. 87, 138101 (2001).
K. Kruse, F. Jülicher, Phys. Rev. E 67, 051913 (2003).
T.B. Liverpool, M.C. Marchetti, Phys. Rev. Lett. 90, 138102 (2003).
I.S. Aranson, L.S. Tsimring, Phys. Rev. E 71, 050901 (2005).
T.B. Liverpool, M.C. Marchetti, Europhys. Lett. 69, 846 (2005).
F. Ziebert, W. Zimmermann, Eur. Phys. J. E 17, 41 (2005).
A. Ahmadi, T.B. Liverpool, M.C. Marchetti, Phys. Rev. E 72, 060901 (2005).
M. Doi, S.F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
C. Brennen, J. Mechanochem. Cell Motil. 3, 207 (1976).
R.A. Simha, S. Ramaswamy, Phys. Rev.Lett. 89, 058101 (2002).
J. Toner, Y. Tu, S. Ramaswamy, Ann. Phys. (N.Y.) 318, 170 (2005).
I.H. Riedel, K. Kruse, J. Howard, Science 309, 300 (2005).
J.-C. Tsai, F. Ye, J. Rodriguez, J.P. Gollub, T.C. Lubensky, Phys. Rev. Lett. 94, 214301 (2005).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kruse, K., Jülicher, F. Dynamics and mechanics of motor-filament systems. Eur. Phys. J. E 20, 459–465 (2006). https://doi.org/10.1140/epje/i2006-10036-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epje/i2006-10036-x