Force dependent transition rates in chemical kinetics models for motor proteins

Journal of Chemical Physics

Volumn 117, Issue 22, 2002, Pages 10339-10349

  Lattanzi, Gianluca ^a   Maritan, Amos ^b,c  

^a HAHN MEITNER INSTITUT   (Germany)

^b SISSA   (Italy)

^c ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DIFFUSION; KINETIC ENERGY; LINEAR EQUATIONS; MATHEMATICAL MODELS; MICROSCOPIC EXAMINATION; PHASE TRANSITIONS;

CHEMICAL KINETICS MODELS; FOKKER-PLANCK EQUATIONS; FORCE DEPENDENT TRANSITION RATES; MOTOR PROTEINS;

PROTEINS;

EID: 0037045194     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1521422     Document Type: Article

References (30)

1. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).
2. A. Parmeggiani, F. Jülicher, A. Ajdari, and J. Prost, Phys. Rev. E 60, 2127 (1999).
3. A. B. Kolomeisky and M. E. Fisher, J. Chem. Phys. 115, 7253 (2001).
4. G. Lattanzi and A. Maritan, Phys. Rev. E 64, 061905 (2001).
5. D. Keller and C. Bustamante, Biophys. J. 78, 541 (2000).
6. B. Derrida, J. Stat. Phys. 31, 433 (1983).
7. R. F. Fox and M. H. Choi, Phys. Rev. E 63, 051901 (2001).
8. N. G. van Kampen, Stochastic Processes in Physics and Chemistry (Elsevier, Amsterdam, 1981).
9. A. Giacometti, A. Maritan, and A. L. Stella, Int. J. Mod. Phys. B 5, 709 (1991).
10. J. Howard, Mechanics of Motor Proteins and the Cytoskeleton (Sinauer Associates, New York, 2001).
11. B. Hille, Ionic Channels of Excitable Membranes (Sinauer Associates, New York, 1984).
12. R. D. Astumian and M. Bier, Biophys. J. 70, 637 (1996).
13. A. Mogilner, T. Elston, H. Y. Wang, and G. Oster, in Joel Keizer's Computational Cell Biology, edited by C. P. Fall, E. Marland, J. Tyson, and J. Wagner (Springer, New York, 2001), pp. 321-380.
14. S. Rice, A. W. Lin, D. Safer et al., Nature (London) 402, 778 (1999).
15. G. Lattanzi and A. Maritan, Phys. Rev. Lett. 86, 1134 (2001).
16. R. D. Vale and R. A. Milligan, Science 288, 88 (2000).
17. M. Nishiyama, E. Muto, Y. Inoue, T. Yanagida, and H. Higuchi, Nat. Cell Biol. 3, 425 (2001).
18. A. Mogilner, A. J. Fisher, and R. J. Baskin, J. Theor. Biol. 211, 143 (2001).
19. Z. Koza, J. Phys. A 32, 7637 (1999).
20. Z. Koza, Physica A 285, 176 (2000).
21. K. Visscher, M. J. Schnitzer, and S. M. Block, Nature (London) 400, 184 (1999).
22. M. L. Moyer, S. P. Gilbert, and K. A. Johnson, Biochemistry 37, 800 (1998).
23. M. J. Schnitzer, K. Visscher, and S. M. Block, Nat. Cell Biol. 2, 718 (2000).
24. C. M. Coppin, D. W. Pierce, L. Hsu, and R. D. Vale, Proc. Natl. Acad. Sci. U.S.A. 94, 8539 (1997).
25. K. Svoboda, P. M. Mitra, and S. M. Block, Proc. Natl. Acad. Sci. U.S.A. 91, 11782 (1994).
26. H. Wang, T. Elston, A. Mogilner, and G. Oster, Biophys. J. 74, 1186 (1998).
27. J. Howard, Annu. Rev. Physiol. 58, 703 (1996).
28. The exponential factor coming from the GDB tends to 1 in the Δχ → 0 limit.
29. Indeed, the renormalization approach presented in the previous section doesnot take into account the discontinuities in the potential; a correction to the model can be obtained by a careful insertion of waiting time distributions, that is the s′ at the discontinuity sites does not have a simple renormalization as the ones along the slope. Nonetheless we will restrict our analysis only to simple jump processes.
30. Howard (Ref. 27) suggested that detachment may serve to prevent kinesin motors from wasting ATP when faced with insurmountable loads.