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Volumn 389, Issue 7, 2010, Pages 1329-1345

Solutions to a reduced Poisson-Nernst-Planck system and determination of reaction rates

Author keywords

Boltzmann distributions; Electro diffusion; Ionic concentrations; Iteration method; Reaction rates; Semi analytical solution; The Debye H ckel approximation; The Poisson Nernst Planck system

Indexed keywords

BIOLOGICAL SYSTEMS; BOLTZMANN EQUATION; IONIC STRENGTH; ITERATIVE METHODS; NUMERICAL METHODS; POISSON DISTRIBUTION; REACTION RATES;

EID: 73449123428     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2009.12.024     Document Type: Article
Times cited : (17)

References (22)
  • 1
    • 0030828982 scopus 로고    scopus 로고
    • Electrostatic influence on the kinetics of ligand binding to acetylcholinesterase. Distinctions between active center ligands and fasciculin
    • Radic Z., Quinn D.M., McCammon J.A., and Taylor P. Electrostatic influence on the kinetics of ligand binding to acetylcholinesterase. Distinctions between active center ligands and fasciculin. J. Biol. Chem. 272 (1997) 23265-23277
    • (1997) J. Biol. Chem. , vol.272 , pp. 23265-23277
    • Radic, Z.1    Quinn, D.M.2    McCammon, J.A.3    Taylor, P.4
  • 3
    • 34948887808 scopus 로고    scopus 로고
    • Electrodiffusion: A continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution
    • Lu B.Z., Zhou Y.C., Huber G.A., Bond S.D., Holst M.J., and McCammon J.A. Electrodiffusion: A continuum modeling framework for biomolecular systems with realistic spatiotemporal resolution. J. Chem. Phys. 127 (2007) 135102
    • (2007) J. Chem. Phys. , vol.127 , pp. 135102
    • Lu, B.Z.1    Zhou, Y.C.2    Huber, G.A.3    Bond, S.D.4    Holst, M.J.5    McCammon, J.A.6
  • 4
    • 42449146150 scopus 로고    scopus 로고
    • Electrostatic free energy and its variations in implicit solvent models
    • Che J., Dzubiella J., Li B., and McCammon J.A. Electrostatic free energy and its variations in implicit solvent models. J. Phys. Chem. B 112 (2008) 3058-3069
    • (2008) J. Phys. Chem. B , vol.112 , pp. 3058-3069
    • Che, J.1    Dzubiella, J.2    Li, B.3    McCammon, J.A.4
  • 5
    • 4243463817 scopus 로고
    • Electrostatics in biomolecular structure and dynamics
    • Davis M.E., and McCammon J.A. Electrostatics in biomolecular structure and dynamics. Chem. Rev. 90 (1990) 509-521
    • (1990) Chem. Rev. , vol.90 , pp. 509-521
    • Davis, M.E.1    McCammon, J.A.2
  • 6
    • 33750208626 scopus 로고
    • The Poisson-Boltzmann equation and its application to polyelecrolytes
    • Fixman M. The Poisson-Boltzmann equation and its application to polyelecrolytes. J. Chem. Phys. 70 (1979) 4995-5005
    • (1979) J. Chem. Phys. , vol.70 , pp. 4995-5005
    • Fixman, M.1
  • 7
    • 38949141177 scopus 로고    scopus 로고
    • Continuum molecular electrostatics, salt effects and counterion binding-A review of the Poisson-Boltzmann model and its modifications
    • Grochowski P., and Trylska J. Continuum molecular electrostatics, salt effects and counterion binding-A review of the Poisson-Boltzmann model and its modifications. Biopolymers 89 (2008) 93-113
    • (2008) Biopolymers , vol.89 , pp. 93-113
    • Grochowski, P.1    Trylska, J.2
  • 8
    • 67650721206 scopus 로고    scopus 로고
    • Continuum electrostatics for ionic solutions with nonuniform ionic sizes
    • Li B. Continuum electrostatics for ionic solutions with nonuniform ionic sizes. Nonlinearity 22 (2009) 811-833
    • (2009) Nonlinearity , vol.22 , pp. 811-833
    • Li, B.1
  • 9
    • 70350480299 scopus 로고    scopus 로고
    • Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent
    • Li B. Minimization of electrostatic free energy and the Poisson-Boltzmann equation for molecular solvation with implicit solvent. SIAM J. Math. Anal. 40 (2009) 2536-2566
    • (2009) SIAM J. Math. Anal. , vol.40 , pp. 2536-2566
    • Li, B.1
  • 10
    • 33751552991 scopus 로고
    • Calculating total electrostatic energies with the nonlinear Poisson-Boltzmann equation
    • Sharp K.A., and Honig B. Calculating total electrostatic energies with the nonlinear Poisson-Boltzmann equation. J. Phys. Chem. 94 (1990) 7684-7692
    • (1990) J. Phys. Chem. , vol.94 , pp. 7684-7692
    • Sharp, K.A.1    Honig, B.2
  • 12
    • 0029876860 scopus 로고    scopus 로고
    • Computing the field in proteins and channels
    • Eisenberg R.S. Computing the field in proteins and channels. J. Membr. Biol. 150 (1996) 1-25
    • (1996) J. Membr. Biol. , vol.150 , pp. 1-25
    • Eisenberg, R.S.1
  • 13
    • 0033032906 scopus 로고    scopus 로고
    • A lattice relaxation algorithm for three-dimensional Poisson-Nernst-Planck theory with application to ion transport through the gramicidin A channel
    • Kurnikova M.G., Coalson R.D., Graf P., and Nitzan A. A lattice relaxation algorithm for three-dimensional Poisson-Nernst-Planck theory with application to ion transport through the gramicidin A channel. Biophys. J. 76 (1999) 642-656
    • (1999) Biophys. J. , vol.76 , pp. 642-656
    • Kurnikova, M.G.1    Coalson, R.D.2    Graf, P.3    Nitzan, A.4
  • 14
    • 0043239420 scopus 로고    scopus 로고
    • Three-dimensional Poisson-Nernst-Planck theory studies: Influence of membrane electrostatics on gramicidin A channel conductance
    • Cardenas A.E., Coalson R.D., and Kurnikova M.G. Three-dimensional Poisson-Nernst-Planck theory studies: Influence of membrane electrostatics on gramicidin A channel conductance. Biophys. J. 79 (2000) 80-93
    • (2000) Biophys. J. , vol.79 , pp. 80-93
    • Cardenas, A.E.1    Coalson, R.D.2    Kurnikova, M.G.3
  • 15
    • 0034207477 scopus 로고    scopus 로고
    • Predicting function from structure using the Poisson-Nernst-Planck equations: Sodium current in the gramicidin A channel
    • Hollerbach U., Chen D.P., Busath D.D., and Eisenberg R. Predicting function from structure using the Poisson-Nernst-Planck equations: Sodium current in the gramicidin A channel. Langmuir 16 (2000) 5509-5514
    • (2000) Langmuir , vol.16 , pp. 5509-5514
    • Hollerbach, U.1    Chen, D.P.2    Busath, D.D.3    Eisenberg, R.4
  • 16
    • 33751234250 scopus 로고    scopus 로고
    • Application of the Poisson-Nernst-Planck theory with space-dependent diffusion coefficients to KcsA
    • Furini S., Zerbetto F., and Cavalcanti S. Application of the Poisson-Nernst-Planck theory with space-dependent diffusion coefficients to KcsA. Biophys. J. 91 (2006) 3162-3169
    • (2006) Biophys. J. , vol.91 , pp. 3162-3169
    • Furini, S.1    Zerbetto, F.2    Cavalcanti, S.3
  • 17
    • 0034033431 scopus 로고    scopus 로고
    • Tests of continuum theories as models of ion channels: II. Poisson-Nernst-Planck theory versus Brownian dynamics
    • Corry B., Kuyucak S., and Chung S.H. Tests of continuum theories as models of ion channels: II. Poisson-Nernst-Planck theory versus Brownian dynamics. Biophys. J. 78 (2000) 2364-2381
    • (2000) Biophys. J. , vol.78 , pp. 2364-2381
    • Corry, B.1    Kuyucak, S.2    Chung, S.H.3
  • 18
    • 0041806661 scopus 로고    scopus 로고
    • A microscopic view of ion conduction through the K+ channel
    • Berneche S., and Roux B. A microscopic view of ion conduction through the K+ channel. Proc. Natl. Acad. Sci. USA 100 (2003) 8644-8648
    • (2003) Proc. Natl. Acad. Sci. USA , vol.100 , pp. 8644-8648
    • Berneche, S.1    Roux, B.2
  • 19
    • 15244338641 scopus 로고    scopus 로고
    • Ion permeation through the α-Hemolysin channel: Theoretical studies based on Brownian dynamics and Poisson-Nernst-Planck electrodiffusion theory
    • Noskov S.Y., Im W., and Roux B. Ion permeation through the α-Hemolysin channel: Theoretical studies based on Brownian dynamics and Poisson-Nernst-Planck electrodiffusion theory. Biophys. J. 87 (2004) 2299-2309
    • (2004) Biophys. J. , vol.87 , pp. 2299-2309
    • Noskov, S.Y.1    Im, W.2    Roux, B.3
  • 20
    • 3142652094 scopus 로고    scopus 로고
    • Theoretical and computational models of ion channels
    • Roux B., Allen T., Berneche S., and Im W. Theoretical and computational models of ion channels. Q. Rev. Biophys. 37 (2004) 15-103
    • (2004) Q. Rev. Biophys. , vol.37 , pp. 15-103
    • Roux, B.1    Allen, T.2    Berneche, S.3    Im, W.4
  • 21
    • 55549124558 scopus 로고    scopus 로고
    • Computational modeling of three-dimensional electrodiffusion in biological systems: Application to the node of ranvier
    • Lopreore C.L., Bartol T.M., Coggan J.S., Keller D.X., Sosinsky G.E., Ellisman M.H., and Sejnowski T.J. Computational modeling of three-dimensional electrodiffusion in biological systems: Application to the node of ranvier. Biophys. J. 95 (2008) 2624-2635
    • (2008) Biophys. J. , vol.95 , pp. 2624-2635
    • Lopreore, C.L.1    Bartol, T.M.2    Coggan, J.S.3    Keller, D.X.4    Sosinsky, G.E.5    Ellisman, M.H.6    Sejnowski, T.J.7
  • 22
    • 0034505344 scopus 로고    scopus 로고
    • Transformed Poisson-Boltzmann relations and ionic distributions
    • Qian H., and Schellman J.A. Transformed Poisson-Boltzmann relations and ionic distributions. J. Phys. Chem. B 104 (2000) 11528-11540
    • (2000) J. Phys. Chem. B , vol.104 , pp. 11528-11540
    • Qian, H.1    Schellman, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.