Role of protein flexibility in molecular motor function: coupled diffusion in a tilted periodic potential

SIAM Journal on Applied Mathematics

Volumn 60, Issue 3, 2000, Pages 842-867

  Elston, Timothy C ^a   Peskin, Charles S ^b  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CELLS; DIFFUSION; EQUATIONS OF MOTION; PROTEINS; RANDOM PROCESSES; TRANSPORT PROPERTIES;

BIOMOLECULAR MOTORS; BROWNIAN RATCHET; DIFFUSION EQUATION; PROTEIN FLEXIBILITY;

MATHEMATICAL MODELS;

EID: 0033689657     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139998345343     Document Type: Article

References (21)

1. C. PESKIN AND G. OSTER, Coordinated hydrolysis explains the mechanical behavior of kinesin, Biophys. J., 68 (1995), pp. 202s-210s.
2. H. BERG AND S. KAHN, A model for the flagellar rotary motor, in Mobility and Recognition in Cell Biology, H. Suns and C. Veeger, eds., de Gruyter, Berlin, 1983, pp. 485-497.
3. M. MEISTER, S. CAPLAN, AND H. BERG, Dynamics of a tightly coupled mechanism for flagellar rotation: Bacterial motility, chemiosmotic coupling, proton motive force, Biophys. J., 55 (1989), pp. 905-914.
4. F. JULICHER AND R. BRUINSMA, Motion of RNA polymerase along DNA: A stochastic model, Biophys. J., 74 (1998), pp. 1169-1185.
5. H. WANG, T. ELSTON, A. MOGILNER, AND G. OSTER, Force generation in RNA polymerase, Biophys. J., 74 (1997), pp. 1186-1202.
6. S. SIMON, C. PESKIN, AND G. OSTER, What drives the translocation of proteins?, Proc. Nat. Acad. Sci. U.S.A., 89 (1992), pp. 3770-3774.
7. A. HUXLEY, Muscle structure and theories of contraction, Progr. Biophys. Chem., 7 (1957), pp. 255-318.
8. R. Fox, Rectified Brownian movement in molecular and cell biology, Phys. Rev. E, 57 (1998), pp. 2177-2203.
9. A. MOGILNER AND G. OSTER, Cell motility driven by actin polymerization, Biophys. J., 71 (1996), pp. 3030-3045.
10. C. PESKIN, G. ODELL, AND G. OSTER, Cellular motions and thermal fluctuations: The Brownian ratchet, Biophys. J., 65 (1993), pp. 316-324.
11. T. ELSTON, H. WANG, AND G. OSTER, Energy transduction in ATP synthase, Nature, 391 (1997), pp. 510-513.
12. B. KLEUTSCH AND P. LAUGER, Coupling of proton flow and rotation in the bacterial flagellar motor: Stochastic simulation of a micrscopic model, Eur. Biophys. J., 18 (1990), pp. 175-191.
13. H. RISKEN, The Fokker-Planck Equation, Springer, Berlin, Heidelberg, New York, 1984.
14. C. PESKIN, G. ERMENTROUT, AND G. OSTER, The correlation ratchet: A novel mechanism for generating directed motion by ATP hydrolysis, in Mechanics and Cellular Engineering, V. Mow et al., eds., Springer, New York, 1994.
15. J. PROST, J.-F. CHAWIN, L. PELITI, AND A. AJDARI, Asymmetric pumping of particles, Phys. Rev. Lett., 72 (1994), pp. 2652-2655.
16. I. DERENYI AND T. VISEK, The kinesin walk: A dynamic model with elastically coupled heads, Proc. Nat. Acad. Sci. U.S.A., 93 (1996), pp. 6775-6779.
17. R. ASTUMIAN AND M. BIER, Fluctuation driven ratchets: Molecular motors, Phys. Rev. Lett., 72 (1994), pp. 1766-1769.
18. R. BERRY, Torque and switching in the bacterial flagellar motor. An electrostatic model, Biophys. J., 64 (1993), pp. 961-973.
19. T. ELSTON AND G. OSTER, Protein turbines I: The bacterial flagellar motor, Biophys. J., 73 (1997), pp. 703-721.
20. T. ELSTON, D. You, AND C. PESKIN, Protein flexibility and the correlation ratchet, SIAM. J. Appl. Math., to appear.
21. T. ELSTON AND C. DOERING, Numerical and analytical studies of nonequilibrium fluctuation-induced transport processes, J. Statist. Phys., 83 (1996), pp. 359-383.