Using theory and simulation to understand permeation and selectivity in ion channels.

It is clear that the function of ion channels must flow from their structure. With recent advances in computational power and methodology, it appears feasible to correlate structure to ion channel permeation at an atomistically detailed level of description. The overall strategy is to structure the calculations in a hierarchy, ranging from coarse-grained thermodynamic and kinetic descriptions to fine-grained molecular dynamics descriptions with atomic detail. Each level of description is connected to the others by appropriate statistical mechanical theory. The coarse-grained descriptions can be correlated directly with electrophysiological experiment. The fine-grained descriptions are used to parameterize the coarse-grained descriptions and to describe the permeation process at the most detailed level. This strategy has so far had varying degrees of success. It has successfully described water permeation through lipid bilayers and gramicidin channels. It has revealed the essential events of ion permeation through gramicidin channels at an atomistically detailed level. The role of channel protein motions in permeation has been elucidated. However, it appears that force fields used to describe molecular dynamics must be refined further to achieve completely accurate predictions of the permeation of such small ions as sodium. Channels with more complex structure and more multiion occupancy than gramicidin pose major computational challenges with respect to sampling protein conformations and ion distributions involved in the permeation process. Possible approaches to meeting these challenges are discussed.

[1]  B. Roux,et al.  The binding site of sodium in the gramicidin A channel: comparison of molecular dynamics with solid-state NMR data. , 1997, Biophysical journal.

[2]  W. Stühmer,et al.  Calcium channel characteristics conferred on the sodium channel by single mutations , 1992, Nature.

[3]  M. F. Schumaker,et al.  Shaking stack model of ion conduction through the Ca(2+)-activated K+ channel. , 1992, Biophysical journal.

[4]  L Schild,et al.  On the structural basis for ionic selectivity among Na+, K+, and Ca2+ in the voltage-gated sodium channel. , 1996, Biophysical journal.

[5]  M Karplus,et al.  Ion transport in a model gramicidin channel. Structure and thermodynamics. , 1991, Biophysical journal.

[6]  M. Karplus,et al.  Computer simulations of the OmpF porin from the outer membrane of Escherichia coli. , 1997, Biophysical journal.

[7]  P McGill,et al.  Boundary conditions for- single-ion diffusion. , 1996, Biophysical journal.

[8]  A. Hodgkin,et al.  Currents carried by sodium and potassium ions through the membrane of the giant axon of Loligo , 1952, The Journal of physiology.

[9]  Randal R Ketchem,et al.  High-resolution conformation of gramicidin A in a lipid bilayer by solid-state NMR. , 1993, Science.

[10]  B. Hille Ionic channels of excitable membranes , 2001 .

[11]  S. Subramaniam,et al.  Treatment of electrostatic effects in proteins: Multigrid‐based newton iterative method for solution of the full nonlinear poisson–boltzmann equation , 1994, Proteins.

[12]  D. Levitt,et al.  Water transport and ion-water interaction in the gramicidin channel. , 1981, Biophysical journal.

[13]  Benoît Roux,et al.  Biological membranes : a molecular perspective from computation and experiment , 1996 .

[14]  E. Jakobsson,et al.  Stochastic theory of ion movement in channels with single-ion occupancy. Application to sodium permeation of gramicidin channels. , 1987, Biophysical journal.

[15]  M. Sansom,et al.  Water in channel-like cavities: structure and dynamics. , 1996, Biophysical journal.

[16]  D. Levitt General continuum theory for multiion channel. I. Theory. , 1991, Biophysical journal.

[17]  A. Finkelstein,et al.  Water permeability of gramicidin A-treated lipid bilayer membranes , 1978, The Journal of general physiology.

[18]  H. Fozzard,et al.  A structural model of the tetrodotoxin and saxitoxin binding site of the Na+ channel. , 1994, Biophysical journal.

[19]  Herman J. C. Berendsen,et al.  Simulation of Water Transport through a Lipid Membrane , 1994 .

[20]  R. Eisenberg,et al.  Charges, currents, and potentials in ionic channels of one conformation. , 1993, Biophysical journal.

[21]  M Karplus,et al.  Molecular dynamics simulations of the gramicidin channel. , 1994, Annual review of biophysics and biomolecular structure.

[22]  E. Jakobsson,et al.  Solvation, water permeation, and ionic selectivity of a putative model for the pore region of the voltage-gated sodium channel. , 1996, Biophysical journal.

[23]  E. Jakobsson,et al.  Brownian dynamics study of a multiply-occupied cation channel: application to understanding permeation in potassium channels. , 1994, Biophysical journal.

[24]  D. Levitt Interpretation of biological ion channel flux data--reaction-rate versus continuum theory. , 1986, Annual review of biophysics and biophysical chemistry.

[25]  K. C. Lee,et al.  Monovalent cation transport: lack of structural deformation upon cation binding. , 1996, Biochemistry.

[26]  A. Hodgkin,et al.  The potassium permeability of a giant nerve fibre , 1955, The Journal of physiology.

[27]  R. Koeppe,et al.  Orientations of the tryptophan 9 and 11 side chains of the gramicidin channel based on deuterium nuclear magnetic resonance spectroscopy. , 1994, Biophysical journal.

[28]  R. MacKinnon,et al.  Conduction properties of the cloned Shaker K+ channel. , 1993, Biophysical journal.

[29]  T. Begenisich Molecular properties of ion permeation through sodium channels. , 1987, Annual review of biophysics and biophysical chemistry.

[30]  E Jakobsson,et al.  The nature of ion and water barrier crossings in a simulated ion channel. , 1993, Biophysical journal.

[31]  A. Finkelstein,et al.  Water movement through lipid bilayers, pores, and plasma membranes : theory and reality , 1987 .

[32]  H. L. Dryden,et al.  Investigations on the Theory of the Brownian Movement , 1957 .

[33]  P. Wolynes,et al.  The theory of ion transport through membrane channels. , 1985, Progress in biophysics and molecular biology.

[34]  Electrostatic modeling of ion pores. Energy barriers and electric field profiles. , 1982, Biophysical journal.

[35]  E Jakobsson,et al.  Stochastic theory of singly occupied ion channels. II. Effects of access resistance and potential gradients extending into the bath. , 1989, Biophysical journal.

[36]  J. Mccammon,et al.  Time-correlation analysis of simulated water motion in flexible and rigid gramicidin channels. , 1991, Biophysical journal.

[37]  G. Yellen Permeation in potassium channels: implications for channel structure. , 1987, Annual review of biophysics and biophysical chemistry.