Singular perturbation analysis of the steady-state Poisson–Nernst–Planck system: Applications to ion channels
暂无分享,去创建一个
J Norbury | R. Eisenberg | J. Norbury | A. Singer | D. Gillespie | R S Eisenberg | A Singer | D Gillespie
[1] J. Barthel,et al. Physical Chemistry of Electrolyte Solutions: Modern Aspects , 1998 .
[2] W. Fawcett,et al. On the Mean Spherical Approximation for Hard Ions and Dipoles , 1991 .
[3] B. Nadler,et al. Derivation of Poisson and Nernst-Planck equations in a bath and channel from a molecular model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[4] H. Grubin. The physics of semiconductor devices , 1979, IEEE Journal of Quantum Electronics.
[5] P. Turq,et al. REAL IONIC SOLUTIONS IN THE MEAN SPHERICAL APPROXIMATION. 1. SIMPLE SALTS IN THE PRIMITIVE MODEL , 1996 .
[6] J. Simonin,et al. Real Ionic Solutions in the Mean Spherical Approximation. 3. Osmotic and Activity Coefficients for Associating Electrolytes in the Primitive Model , 1998 .
[7] B. Eisenberg,et al. Binding and selectivity in L-type calcium channels: a mean spherical approximation. , 2000, Biophysical journal.
[8] Weishi Liu,et al. Geometric Singular Perturbation Approach to Steady-State Poisson--Nernst--Planck Systems , 2005, SIAM J. Appl. Math..
[9] Giles Richardson,et al. Ions in Solutions and Protein Channels , 2005 .
[10] G. R. Smith,et al. Dynamic properties of Na+ ions in models of ion channels: a molecular dynamics study. , 1998, Biophysical journal.
[11] Weishi Liu,et al. Poisson-Nernst-Planck Systems for Ion Channels with Permanent Charges , 2007, SIAM J. Math. Anal..
[12] C. Schmeiser,et al. Semiconductor equations , 1990 .
[13] W. Fawcett. Liquids, Solutions, and Interfaces: From Classical Macroscopic Descriptions to Modern Microscopic Details , 2004 .
[14] H. Berendsen,et al. A molecular dynamics study of the pores formed by Escherichia coli OmpF porin in a fully hydrated palmitoyloleoylphosphatidylcholine bilayer. , 1998, Biophysical journal.
[15] J. Barthel,et al. Transport coefficients and apparent charges of concentrated electrolyte solutions – Equations for practical use , 1994 .
[16] B. Eisenberg. Ionic channels in biological membranes- electrostatic analysis of a natural nanotube , 1998, 1610.04123.
[17] F. Bezanilla,et al. Gating Currents of the Sodium Channels: Three Ways to Block Them , 1974, Science.
[18] H. Sullivan. Ionic Channels of Excitable Membranes, 2nd Ed. , 1992, Neurology.
[19] Serge Durand-Vidal,et al. Electrolytes at interfaces , 2000 .
[20] Peter A. Markowich,et al. A Singular Perturbation Analysis of the Fundamental Semiconductor Device Equations , 1984 .
[21] Robert S. Eisenberg,et al. Qualitative Properties of Steady-State Poisson-Nernst-Planck Systems: Perturbation and Simulation Study , 1997, SIAM J. Appl. Math..
[22] Christian Ringhofer,et al. A Singularly Perturbed Boundary Value Problem Modelling a Semiconductor Device. , 1982 .
[23] Olivier Bernard,et al. New perspectives in transport phenomena in electrolytes , 1996 .
[24] Zuzanna S Siwy,et al. Negative incremental resistance induced by calcium in asymmetric nanopores. , 2006, Nano letters.
[25] Dirk Gillespie,et al. (De)constructing the ryanodine receptor: modeling ion permeation and selectivity of the calcium release channel. , 2005, The journal of physical chemistry. B.
[26] F. Bezanilla,et al. Voltage-dependent gating of ionic channels. , 1994, Annual review of biophysics and biomolecular structure.
[27] Zuzanna S Siwy,et al. Calcium-induced voltage gating in single conical nanopores. , 2006, Nano letters.
[28] B. Eisenberg,et al. Ion permeation and glutamate residues linked by Poisson-Nernst-Planck theory in L-type calcium channels. , 1998, Biophysical journal.
[29] B. Hille. Ionic channels of excitable membranes , 2001 .
[30] Peter A. Markowich,et al. The Stationary Semiconductor Device Equations. , 1987 .