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Volumn 27, Issue 3, 2000, Pages 219-234

The mathematical theory of molecular motor movement and chemomechanical energy transduction

Author keywords

Augmented huxley equation; Entropy production; Macromolecular mechanics; Markov process; Nano biochemistry; Nonequilibrium steady state; Probability circulation; Protein; Singular perturbation; Turning point

Indexed keywords


EID: 0034310272     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026428320489     Document Type: Review
Times cited : (62)

References (63)
  • 1
    • 0031003997 scopus 로고    scopus 로고
    • Thermodynamics and kinetics of a Brownian motor
    • R.D. Astumian, Thermodynamics and kinetics of a Brownian motor, Science 276 (1997) 917-922.
    • (1997) Science , vol.276 , pp. 917-922
    • Astumian, R.D.1
  • 2
    • 11744379062 scopus 로고
    • Fluctuation driven ratchets: Molecular motors
    • R.D. Astumian and M. Bier, Fluctuation driven ratchets: molecular motors, Phys. Rev. Lett. 72 (1994) 1766-1769.
    • (1994) Phys. Rev. Lett. , vol.72 , pp. 1766-1769
    • Astumian, R.D.1    Bier, M.2
  • 3
    • 0030028709 scopus 로고    scopus 로고
    • Mechanochemical coupling of the motion of molecular motors to ATP hydrolysis
    • R.D. Astumian and M. Bier, Mechanochemical coupling of the motion of molecular motors to ATP hydrolysis, Biophys. J. 70 (1996) 637-653.
    • (1996) Biophys. J. , vol.70 , pp. 637-653
    • Astumian, R.D.1    Bier, M.2
  • 5
    • 0031901545 scopus 로고    scopus 로고
    • Modelling and simulation of motility in actomyosin systems
    • D.B. Bentil, Modelling and simulation of motility in actomyosin systems, J. Comput. Biol. 5 (1998) 73-86.
    • (1998) J. Comput. Biol. , vol.5 , pp. 73-86
    • Bentil, D.B.1
  • 6
  • 7
    • 0000333281 scopus 로고    scopus 로고
    • Asymmetric cycling and biased movement of Brownian particles in fluctuating symmetric potentials
    • Y.-D. Chen, Asymmetric cycling and biased movement of Brownian particles in fluctuating symmetric potentials, Phys. Rev. Lett. 79 (1997) 3117-3120.
    • (1997) Phys. Rev. Lett. , vol.79 , pp. 3117-3120
    • Chen, Y.-D.1
  • 9
    • 0031953771 scopus 로고    scopus 로고
    • Compliant realignment of binding sites in muscle: Transient behavior and mechanical tuning
    • T.L. Daniel, A.C. Trimble and P.B. Chase, Compliant realignment of binding sites in muscle: transient behavior and mechanical tuning, Biophys. J. 74 (1998) 1661-1621.
    • (1998) Biophys. J. , vol.74 , pp. 1661-11621
    • Daniel, T.L.1    Trimble, A.C.2    Chase, P.B.3
  • 11
  • 13
    • 0002340866 scopus 로고
    • Large deviations for Markov processes corresponding to PDE systems
    • A. Eizenberg and M.I. Freidlin, Large deviations for Markov processes corresponding to PDE systems, Ann. Probab. 21 (1993) 1015-1044.
    • (1993) Ann. Probab. , vol.21 , pp. 1015-1044
    • Eizenberg, A.1    Freidlin, M.I.2
  • 17
    • 0033340471 scopus 로고    scopus 로고
    • Molecular motors and the forces they exert
    • M.E. Fisher and A.B. Kolomeisky, Molecular motors and the forces they exert, Physica A 274 (1999) 241-266.
    • (1999) Physica A , vol.274 , pp. 241-266
    • Fisher, M.E.1    Kolomeisky, A.B.2
  • 18
    • 0003254803 scopus 로고
    • Random perturbations of hamiltonian systems
    • AMS, Providence, RI
    • M.I. Freidlin and A.D. Wentzell, Random Perturbations of Hamiltonian Systems, Mem. Amer. Math. Soc. 523 (AMS, Providence, RI, 1994).
    • (1994) Mem. Amer. Math. Soc. , vol.523
    • Freidlin, M.I.1    Wentzell, A.D.2
  • 19
    • 4244208748 scopus 로고
    • Dynamical ensembles in non-equilibrium statistical mechanics
    • G. Gallavotti and E.G.D. Cohen, Dynamical ensembles in non-equilibrium statistical mechanics, Phys. Rev. Lett. 74 (1995) 2649-2697.
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 2649-2697
    • Gallavotti, G.1    Cohen, E.G.D.2
  • 20
    • 0003078083 scopus 로고
    • Nonlinear diffusion limit for a system with nearest neighbor interactions
    • M.Z. Guo, G.C. Papanicolaou and S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys. 118 (1988) 31-59.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 31-59
    • Guo, M.Z.1    Papanicolaou, G.C.2    Varadhan, S.R.S.3
  • 21
    • 0347193736 scopus 로고
    • Reaction-rate theory: Fifty years after Kramers
    • P. Hänggi, P. Talkner and M. Borkovec, Reaction-rate theory: fifty years after Kramers, Rev. Mod. Phys. 62 (1990) 251-341.
    • (1990) Rev. Mod. Phys. , vol.62 , pp. 251-341
    • Hänggi, P.1    Talkner, P.2    Borkovec, M.3
  • 22
    • 0016180488 scopus 로고
    • Theoretical formalism for the sliding filament model of contraction of striated muscle: Part I
    • T.L. Hill, Theoretical formalism for the sliding filament model of contraction of striated muscle: Part I, Prog. Biophys. Mol. Biol. 28 (1974) 267-340.
    • (1974) Prog. Biophys. Mol. Biol. , vol.28 , pp. 267-340
    • Hill, T.L.1
  • 23
    • 0016422610 scopus 로고
    • Theoretical formalism for the sliding filament model of contraction of striated muscle: Part II
    • T.L. Hill, Theoretical formalism for the sliding filament model of contraction of striated muscle: Part II, Prog. Biophys. Mol. Biol. 29 (1975) 105-159.
    • (1975) Prog. Biophys. Mol. Biol. , vol.29 , pp. 105-159
    • Hill, T.L.1
  • 24
    • 0029960345 scopus 로고    scopus 로고
    • The movement of kinesin along microtubules
    • J. Howard, The movement of kinesin along microtubules, Ann. Rev. Physiol. 58 (1996) 703-729.
    • (1996) Ann. Rev. Physiol. , vol.58 , pp. 703-729
    • Howard, J.1
  • 25
    • 33847013578 scopus 로고
    • Muscle structure and theories of contraction
    • A.F. Huxley, Muscle structure and theories of contraction, Prog. Biophys. Biophys. Chem. 7 (1957) 257-318.
    • (1957) Prog. Biophys. Biophys. Chem. , vol.7 , pp. 257-318
    • Huxley, A.F.1
  • 28
    • 0001040530 scopus 로고
    • On elliptic singular perturbation problems with turning points
    • S. Kamin, On elliptic singular perturbation problems with turning points, SIAM J. Math. Anal. 10 (1979) 447-455.
    • (1979) SIAM J. Math. Anal. , vol.10 , pp. 447-455
    • Kamin, S.1
  • 31
    • 0001034285 scopus 로고    scopus 로고
    • Steady-state currents in sharp stochastic ratchets
    • M.M. Klosek and R.W. Cox, Steady-state currents in sharp stochastic ratchets, Phys. Rev. E 60 (1999) 3727-3735.
    • (1999) Phys. Rev. E , vol.60 , pp. 3727-3735
    • Klosek, M.M.1    Cox, R.W.2
  • 32
    • 0033246864 scopus 로고    scopus 로고
    • A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics
    • J.L. Lebowitz and H. Spohn, A Gallavotti-Cohen-type symmetry in the large deviation functional for stochastic dynamics, J. Statist. Phys. 95 (1999) 333-365.
    • (1999) J. Statist. Phys. , vol.95 , pp. 333-365
    • Lebowitz, J.L.1    Spohn, H.2
  • 34
    • 0031162897 scopus 로고    scopus 로고
    • Limiting exit location distributions in the stochastic exit problem
    • R.S. Maier and D.L. Stein, Limiting exit location distributions in the stochastic exit problem, SIAM J. Appl. Math. 57 (1997) 752-790.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 752-790
    • Maier, R.S.1    Stein, D.L.2
  • 35
    • 0001601301 scopus 로고
    • Stochastic approach to chemical kinetics
    • D.A. McQuarrie, Stochastic approach to chemical kinetics, J. Appl. Prob. 4 (1967) 413-478.
    • (1967) J. Appl. Prob. , vol.4 , pp. 413-478
    • McQuarrie, D.A.1
  • 39
    • 0002048782 scopus 로고    scopus 로고
    • Exponential asymptotics, boundary layer resonance, and dynamic metastability
    • eds. L.P. Cook, V. Roytburd and M. Tulin SIAM, Philadelphia, PA
    • R.E. O'Malley, Jr. and M.J. Ward, Exponential asymptotics, boundary layer resonance, and dynamic metastability, in: Mathematics Is for Solving Problems, eds. L.P. Cook, V. Roytburd and M. Tulin (SIAM, Philadelphia, PA, 1996) pp. 189-203.
    • (1996) Mathematics is for Solving Problems , pp. 189-203
    • O'Malley R.E., Jr.1    Ward, M.J.2
  • 40
    • 36149006492 scopus 로고
    • Reciprocal relations in irreversible processes. I
    • L. Onsager, Reciprocal relations in irreversible processes. I, Phys. Rev. 37 (1931) 405-426.
    • (1931) Phys. Rev. , vol.37 , pp. 405-426
    • Onsager, L.1
  • 41
    • 0001522619 scopus 로고
    • An exact evaluation of nuclear spin-lattice relaxation for a two-site jump model
    • Z. Y. Peng and C. Ho, An exact evaluation of nuclear spin-lattice relaxation for a two-site jump model, J. Magn. Reson. 82 (1989) 318-336.
    • (1989) J. Magn. Reson. , vol.82 , pp. 318-336
    • Peng, Z.Y.1    Ho, C.2
  • 42
    • 0002711590 scopus 로고
    • The correlation ratchet: A novel mechanism for generating directed motion by ATP hydrolysis
    • eds. V.C. Mow, F. Guilak, R. Tran-Son-Tay and R.M. Hochmuth Springer, New York
    • C.S. Peskin, G.B. Ermentrout and G.F. Oster, The correlation ratchet: a novel mechanism for generating directed motion by ATP hydrolysis, in: Cell Mechanics and Cellular Engineering, eds. V.C. Mow, F. Guilak, R. Tran-Son-Tay and R.M. Hochmuth (Springer, New York, 1994) pp. 479-489.
    • (1994) Cell Mechanics and Cellular Engineering , pp. 479-489
    • Peskin, C.S.1    Ermentrout, G.B.2    Oster, G.F.3
  • 43
    • 0027194759 scopus 로고
    • Cellular motions and thermal fluctuations: The Brownian ratchet
    • C.S. Peskin, G.M. Odell and G.F. Oster, Cellular motions and thermal fluctuations: the Brownian ratchet, Biophys. J. 65 (1993) 316-324.
    • (1993) Biophys. J. , vol.65 , pp. 316-324
    • Peskin, C.S.1    Odell, G.M.2    Oster, G.F.3
  • 45
    • 0030731335 scopus 로고    scopus 로고
    • A simple theory of motor protein kinetics and energetics
    • H. Qian, A simple theory of motor protein kinetics and energetics, Biophys. Chem. 67 (1997) 263-267.
    • (1997) Biophys. Chem. , vol.67 , pp. 263-267
    • Qian, H.1
  • 46
    • 0000547916 scopus 로고    scopus 로고
    • Vector field formalism and analysis for a class of thermal ratchets
    • H. Qian, Vector field formalism and analysis for a class of thermal ratchets, Phys. Rev. Lett. 81 (1998) 3063-3066.
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 3063-3066
    • Qian, H.1
  • 48
    • 0033991808 scopus 로고    scopus 로고
    • A simple theory of motor protein kinetics and energetics. II
    • H. Qian, A simple theory of motor protein kinetics and energetics. II, Biophys. Chem. 83 (2000) 35-43.
    • (2000) Biophys. Chem. , vol.83 , pp. 35-43
    • Qian, H.1
  • 49
    • 0034303054 scopus 로고    scopus 로고
    • A mathematical analysis for the Brownian dynamics of DNA tether
    • H. Qian, A mathematical analysis for the Brownian dynamics of DNA tether, J. Math. Biol. 41 (2000) 331-340.
    • (2000) J. Math. Biol. , vol.41 , pp. 331-340
    • Qian, H.1
  • 52
    • 0033425916 scopus 로고    scopus 로고
    • The entropy production of diffusion processes on manifolds and its circulation decompositions
    • M. Qian and Z.D. Wang, The entropy production of diffusion processes on manifolds and its circulation decompositions, Comm. Math. Phys. 206 (1999) 429-445.
    • (1999) Comm. Math. Phys. , vol.206 , pp. 429-445
    • Qian, M.1    Wang, Z.D.2
  • 53
    • 34250134438 scopus 로고
    • Multi-dimensional coupled diffusion process
    • M. Qian and B. Zhang, Multi-dimensional coupled diffusion process, Acta Math. Appl. Sinica 1 (1984) 168-179.
    • (1984) Acta Math. Appl. Sinica , vol.1 , pp. 168-179
    • Qian, M.1    Zhang, B.2
  • 54
    • 0031077746 scopus 로고    scopus 로고
    • Dynamics in a chain of overdamped pendula driven by constant torques
    • M. Qian, S. Zhu and W.-X. Qin, Dynamics in a chain of overdamped pendula driven by constant torques, SIAM J. Appl. Math. 57 (1997) 294-305.
    • (1997) SIAM J. Appl. Math. , vol.57 , pp. 294-305
    • Qian, M.1    Zhu, S.2    Qin, W.-X.3
  • 55
    • 0001503605 scopus 로고
    • The reversibility and the entropy production of Markov processes
    • M.-P. Qian, M. Qian and G.L. Gong, The reversibility and the entropy production of Markov processes, Contemp. Math. 118 (1991) 255-261.
    • (1991) Contemp. Math. , vol.118 , pp. 255-261
    • Qian, M.-P.1    Qian, M.2    Gong, G.L.3
  • 56
    • 0034384218 scopus 로고    scopus 로고
    • On a system of hyperstable frequency locking persistence under white noise
    • M.-P. Qian and D. Wang, On a system of hyperstable frequency locking persistence under white noise, Ergod. Th. Dynam. Sys. 20 (2000) 547-555.
    • (2000) Ergod. Th. Dynam. Sys. , vol.20 , pp. 547-555
    • Qian, M.-P.1    Wang, D.2
  • 59
    • 0031092587 scopus 로고    scopus 로고
    • Positivity of entropy production in the presence of a random thermostat
    • D. Ruelle, Positivity of entropy production in the presence of a random thermostat, J. Stat. Phys. 86 (1997) 935-951.
    • (1997) J. Stat. Phys. , vol.86 , pp. 935-951
    • Ruelle, D.1
  • 60
    • 0002044060 scopus 로고
    • Singular perturbation methods in stochastic differential equations of mathematical physics
    • Z. Schuss, Singular perturbation methods in stochastic differential equations of mathematical physics, SIAM Rev. 22 (1980) 119-155.
    • (1980) SIAM Rev. , vol.22 , pp. 119-155
    • Schuss, Z.1
  • 61
    • 0003466114 scopus 로고
    • Lecture Notes in Mathematics, Springer, New York
    • M.L. Silverstein, Symmetric Markov Processes, Lecture Notes in Mathematics, Vol. 426 (Springer, New York, 1974).
    • (1974) Symmetric Markov Processes , vol.426
    • Silverstein, M.L.1
  • 63
    • 0000069324 scopus 로고    scopus 로고
    • Chemically driven motility of Brownian particles
    • H.-X. Zhou and Y.-D. Chen, Chemically driven motility of Brownian particles, Phys. Rev. Lett. 77 (1996) 194-197.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 194-197
    • Zhou, H.-X.1    Chen, Y.-D.2


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