Abstract
The cytoskeleton is an important substructure of living cells, playing essential roles in cell division, cell locomotion, and the internal organization of subcellular components. Physically, the cytoskeleton is an active polar gel, that is, a system of polar filamentous polymers, which is intrinsically out of thermodynamic equilibrium. Active processes are notably involved in filament growth and can lead to net filament assembly at one end and disassembly at the other, a phenomenon called treadmilling. Here, we develop a framework for describing collective effects in systems of treadmilling filaments in the presence of agents regulating filament assembly. We find that such systems can self-organize into asters and moving filament blobs. We discuss possible implications of our findings for subcellular processes.
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References
D. Bray, Cell movements: From Molecules to Motility, 2nd edition (Garland, New York, 2001)
J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, Inc., Sunderland, 2001)
T.D. Pollard, G.G. Borisy, Cell 112, 453 (2003)
V.I. Rodionov, G.G. Borisy, Nature 386, 170 (1997)
V.I. Rodionov, G.G. Borisy, Science 275, 215 (1997)
M.J. Tyska, M.S. Mooseker, Biophys. J. 82, 1869 (2002)
M.E. Schneider, I.A. Belyantseva, R.B. Azevedo, B. Kachar, Nature 418, 837 (2002)
F. Jülicher, K. Kruse, J. Prost, J.-F. Joanny, Phys. Rep. 449, 3 (2007)
D. Humphrey, C. Duggan, D. Saha, D. Smith, J. Käs, Nature 416, 413 (2002)
F.J. N\'e, Nature 389, 305 (1997)
T. Surrey, F. N\'e, Science 292, 1167 (2001)
F. Backouche, L. Haviv, D. Groswasser, A. Bernheim-Groswasser, Phys. Biol. 3, 264 (2006)
J. Plastino, C. Sykes, Curr. Opin. Cell Biol. 17, 62 (2005)
D. Mizuno, C. Tardin, C.F. Schmidt, F.C. MacKintosh, Science 315, 370 (2007)
H.Y. Lee, M. Kardar, Phys. Rev. E 64, 056113 (2001)
K. Kruse, J.F. Joanny, F. Jülicher, J. Prost, K. Sekimoto, Phys. Rev. Lett. 92, 078101 (2004)
A. Zumdieck, M. Cosentino Lagomarsino, C. Tanase, K. Kruse, B. Mulder, M. Dogterom, F. Jülicher, Phys. Rev. Lett. 95, 258103 (2005)
J. Toner, Y. Tu, Phys. Rev. Lett. 75, 4326 (1995)
R.A. Simha, S. Ramaswamy, Phys. Rev. Lett. 89, 058101 (2002)
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)
T.B. Liverpool, M.C. Marchetti, Phys. Rev. Lett. 90, 138102 (2003)
I.S. Aranson, L.S. Tsimring, Phys. Rev. E 71, 050901 (2005)
V. Malikov, A. Kashina, V. Rodionov, Mol. Biol. Cell 15, 2742 (2004)
I.V. Maly, G.G. Borisy, Trends Cell Biol. 12, 462 (2002)
E.N. Cytrynbaum, V. Rodionov, A. Mogilner, J. Cell Sci. 117, 1381 (2004)
K. Doubrovinski, K. Kruse, Phys. Rev. Lett. 99, 228104 (2007)
F. Oosawa, S. Asakura, Thermodynamics of the Polymerization of Protein (Academic Press, New York, 1975)
M. Dogterom, S. Leibler, Phys. Rev. Lett. 70, 1347 (1993)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (Dover Publications Inc., 1965)
K. Doubrovinski, K. Kruse, EPL 83, 18003 (2008)
K. Doubrovinski, dissertation, Saarland University (2008)
I. Vorobjev, V. Malikov, V. Rodionov, Proc. Natl. Acad. Sci. U.S.A. 98, 10160 (2001)
S. Ramaswamy, J. Toner, J. Prost, Phys. Rev. Lett. 84, 3494 (2000)
K. Kruse, S. Camalet, F. Jülicher, Phys. Rev. Lett. 87, 138101 (2001)
R. Shlomovitz, N.S. Gov, Phys. Rev. Lett. 98, 168103 (2007)
J. Prost, C. Barbetta, J.-F. Joanny, Biophys. J. 93, 1124 (2007)
F. Chamaraux, S. Fache, F. Bruckert, B. Fourcade, Phys. Rev. Lett. 94, 158102 (2005)
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Doubrovinski, K., Kruse, K. Self-organization in systems of treadmilling filaments. Eur. Phys. J. E 31, 95–104 (2010). https://doi.org/10.1140/epje/i2010-10548-8
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DOI: https://doi.org/10.1140/epje/i2010-10548-8