Stochastic dynamics of small ensembles of non-processive molecular motors: The parallel cluster model

Journal of Chemical Physics

Volumn 139, Issue 17, 2013, Pages

  Erdmann, Thorsten ^a   Albert, Philipp J ^a   Schwarz, Ulrich S ^b  

^a UNIVERSITY OF HEIDELBERG   (Germany)

^b INSTITUT FÜR THEORETISCHE PHYSIK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR PROCESS; MASTER EQUATIONS; MOLECULAR MOTORS; NON-MUSCLE CELLS; PARALLEL CLUSTERS; REACTION NETWORK; SHARP TRANSITION; STOCHASTIC DYNAMICS;

DYNAMICS; LINEAR MOTORS; MOTORCYCLES; MUSCLE; REACTION KINETICS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

LOADS (FORCES);

MYOSIN II;

ARTICLE; BIOLOGICAL MODEL; CHEMISTRY; COMPUTER SIMULATION; KINETICS; METABOLISM; STATISTICS;

COMPUTER SIMULATION; KINETICS; MODELS, BIOLOGICAL; MYOSIN TYPE II; STOCHASTIC PROCESSES;

EID: 84887589991     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4827497     Document Type: Article

References (60)

1. R. Lipowsky and S. Klumpp, Physica A 352, 53 (2005). 10.1016/j.physa. 2004.12.034
2. J. Howard, Nature (London) 389, 561 (1997). 10.1038/39247
3. R. D. Vale and R. A. Milligan, Science 288, 88 (2000). 10.1126/science.288.5463.88
4. T. Guérin, J. Prost, P. Martin, and J.-F. Joanny, Curr. Opin. Cell Biol. 22, 14 (2010). 10.1016/j.ceb.2009.12.012
5. R. D. Vale, Cell 112, 467 (2003). 10.1016/S0092-8674(03)00111-9
6. K. Svoboda, C. F. Schmidt, B. J. Schnapp, and S. M. Block, Nature (London) 365, 721 (1993). 10.1038/365721a0
7. R. D. Vale, T. Funatsu, D. W. Pierce, L. Romberg, Y. Harada, and T. Yanagida, Nature (London) 380, 451 (1996). 10.1038/380451a0
8. A. Ashkin, K. Schütze, J. M. Dziedzic, U. Euteneuer, and M. Schliwa, Nature (London) 348, 346 (1990). 10.1038/348346a0
9. S. Klumpp and R. Lipowsky, Proc. Natl. Acad. Sci. U.S.A. 102, 17284 (2005). 10.1073/pnas.0507363102
10. Y. Chai, R. Lipowsky, and S. Klumpp, J. Stat. Phys. 135, 241 (2009). 10.1007/s10955-009-9715-3
11. G. Koster, M. van Guijn, B. Hofs, and M. Dogterom, Proc. Natl. Acad. Sci. U.S.A. 100, 15583 (2003). 10.1073/pnas.2531786100
12. C. Leduc, O. Campás, K. B. Zeldovich, A. Roux, P. Jolimaitre, L. Bourel-Bonnet, B. Goud, J.-F. Joanny, P. Bassereau, and J. Prost, Proc. Natl. Acad. Sci. U.S.A. 101, 17096 (2004). 10.1073/pnas.0406598101
13. T. A. McMahon, Muscles, Reflexes, and Locomotion (Princeton University Press, Princeton, NJ, 1984).
14. G. Piazzesi, M. Reconditi, M. Linari, L. Lucii, P. Bianco, E. Brunello, V. Decostre, A. Stewart, D. B. Gore, T. C. Irving, M. Irving, and V. Lombardi, Cell 131, 784 (2007). 10.1016/j.cell.2007.09.045
15. A. F. Huxley, Prog. Biophys. 7, 255 (1957).
16. A. F. Huxley and R. M. Simmons, Nature (London) 233, 533 (1971). 10.1038/233533a0
17. M. A. Geeves and K. C. Holmes, Adv. Protein Chem. 71, 161 (2005). 10.1016/S0065-3233(04)71005-0
18. S. Leibler and D. A. Huse, J. Cell Biol. 121, 1357 (1993). 10.1083/jcb.121.6.1357
19. T. A. J. Duke, Proc. Natl. Acad. Sci. U.S.A. 96, 2770 (1999). 10.1073/pnas.96.6.2770
20. C. Veigel, J. E. Molloy, S. Schmitz, and J. Kendrick-Jones, Nat. Cell Biol. 5, 980 (2003). 10.1038/ncb1060
21. B. Guo and W. H. Guilford, Proc. Natl. Acad. Sci. U.S.A. 103, 9844 (2006). 10.1073/pnas.0601255103
22. M. Vicente-Manzanares, X. Ma, R. S. Adelstein, and A. R. Horwitz, Nat. Rev. Mol. Cell Biol. 10, 778 (2009). 10.1038/nrm2786
23. S. L. Gupton and C. M. Waterman-Storer, Cell 125, 1361 (2006). 10.1016/j.cell.2006.05.029
24. T. Wakatsuki, R. B. Wysolmerski, and E. L. Elson, J. Cell Sci. 116, 1617 (2003). 10.1242/jcs.00340
25. E. Paluch, M. Piel, J. Prost, M. Bornens, and C. Sykes, Biophys. J. 89, 724 (2005). 10.1529/biophysj.105.060590
26. S. Pellegrin and H. Mellor, J. Cell Sci. 120, 3491 (2007). 10.1242/jcs.018473
27. L. J. Peterson, Z. Rajfur, A. S. Maddox, C. D. Freel, Y. Chen, M. Edlund, C. Otey, and K. Burridge, Mol. Biol. Cell 15, 3497 (2004). 10.1091/mbc.E03-09- 0696
28. A. B. Verkhovsky and G. G. Borisy, J. Cell Biol. 123, 637 (1993). 10.1083/jcb.123.3.637
29. T. Thoresen, M. Lenz, and M. L. Gardel, Biophys. J. 100, 2698 (2011). 10.1016/j.bpj.2011.04.031
30. T. Thoresen, M. Lenz, and M. L. Gardel, Biophys. J. 104, 655 (2013). 10.1016/j.bpj.2012.12.042
31. M. Soares e Silva, M. Depken, B. Stuhrmann, M. Korsten, F. C. Mac-Kintosh, and G. H. Koenderink, Proc. Natl. Acad. Sci. U.S.A. 108, 9408 (2011). 10.1073/pnas.1016616108
32. J. T. Finer, R. M. Simmons, and J. A. Spudich, Nature (London) 368, 113 (1994). 10.1038/368113a0
33. E. P. Debold, J. B. Patlak, and D. M. Warshaw, Biophys. J. 89, L34 (2005). 10.1529/biophysj.105.072967
34. D. Mizuno, C. Tardin, C. F. Schmidt, and F. C. MacKintosh, Science 315, 370 (2007). 10.1126/science.1134404
35. T. Duke, T. E. Holy, and S. Leibler, Phys. Rev. Lett. 74, 330 (1995). 10.1103/PhysRevLett.74.330
36. P.-Y. Plaçais, M. Balland, T. Guérin, J.-F. Joanny, and P. Martin, Phys. Rev. Lett. 103, 158102 (2009). 10.1103/PhysRevLett.103.158102
37. D. Hexner and Y. Kafri, Phys. Biol. 6, 036016 (2009). 10.1088/1478-3975/6/3/036016
38. T. Erdmann and U. S. Schwarz, Phys. Rev. Lett. 108, 188101 (2012). 10.1103/PhysRevLett.108.188101
39. F. Jülicher and J. Prost, Phys. Rev. Lett. 75, 2618 (1995). 10.1103/PhysRevLett.75.2618
40. F. Jülicher and J. Prost, Phys. Rev. Lett. 78, 4510 (1997). 10.1103/PhysRevLett.78.4510
41. M. Badoual, F. Jülicher, and J. Prost, Proc. Natl. Acad. Sci. U.S.A. 99, 6696 (2002). 10.1073/pnas.102692399
42. A. Vilfan, E. Frey, and F. Schwabl, EPL 45, 283 (1999). 10.1209/epl/i1999-00160-3
43. A. Vilfan and E. Frey, J. Phys.: Condens. Matter 17, S3901 (2005). 10.1088/0953-8984/17/47/018
44. T. Duke, Philos. Trans. R. Soc. London B 355, 529 (2000). 10.1098/rstb.2000.0594
45. A. Vilfan and T. Duke, Biophys. J. 85, 818 (2003). 10.1016/S0006-3495(03) 74522-6
46. S. Walcott, D. M. Warshaw, and E. P. Debold, Biophys. J. 103, 501 (2012). 10.1016/j.bpj.2012.06.031
47. B. Chen and H. Gao, Biophys. J. 101, 396 (2011). 10.1016/j.bpj.2011.05. 061
48. J. R. Sellers and C. Veigel, Nat. Struct. Mol. Biol. 17, 590 (2010). 10.1038/nsmb.1820
49. B. Colombini, M. A. Bagni, G. Romano, and G. Cecchi, Proc. Natl. Acad. Sci. U.S.A. 104, 9284 (2007). 10.1073/pnas.0611070104
50. T. Erdmann and U. S. Schwarz, Phys. Rev. Lett. 92, 108102 (2004). 10.1103/PhysRevLett.92.108102
51. T. Erdmann and U. S. Schwarz, J. Chem. Phys. 121, 8997 (2004). 10.1063/1.1805496
52. T. Erdmann and U. S. Schwarz, Biophys. J. 91, L60 (2006). 10.1529/biophysj.106.090209
53. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier Ltd., Amsterdam, 2003).
54. D. T. Gillespie, J. Comput. Phys. 22, 403 (1976). 10.1016/0021-9991(76) 90041-3
55. A. V. Hill, Proc. R. Soc. London B 127, 434 (1939). 10.1098/rspb.1939. 0033
56. F. Berger, C. Keller, S. Klumpp, and R. Lipowsky, Phys. Rev. Lett. 108, 208101 (2012). 10.1103/PhysRevLett.108.208101
57. A. Kunwar and A. Mogilner, Phys. Biol. 7, 016012 (2010). 10.1088/1478-3975/7/1/016012
58. See supplementary material at http://dx.doi.org/10.1063/1.4827497 E-JCPSA6-139-011342 for additional results with the same set of parameters as used in the main text and further results demonstrating the effect of changing the parameter values, in particular the single motor duty ratio.
59. M. Caruel, J. M. Allain, and L. Truskinovsky, Phys. Rev. Lett. 110, 248103 (2013). 10.1103/PhysRevLett.110.248103
60. J. M. Laakso, J. H. Lewis, H. Shuman, and E. M. Ostap, Science 321, 133 (2008). 10.1126/science.1159419