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Originally published as Biophys J. BioFAST on May 25, 2007.
doi:10.1529/biophysj.107.105478
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Biophysical Journal 93:1960-1980 (2007)
© 2007 The Biophysical Society

Steric Selectivity in Na Channels Arising from Protein Polarization and Mobile Side Chains

Dezso Boda * {ddagger}, Wolfgang Nonner {dagger}, Mónika Valiskó {ddagger}, Douglas Henderson §, Bob Eisenberg * and Dirk Gillespie *

* Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, Illinois; {dagger} Department of Physiology and Biophysics, Miller School of Medicine, University of Miami, Miami, Florida; {ddagger} Department of Physical Chemistry, University of Pannonia, Veszprém, Hungary; and § Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah

Correspondence: Address reprint requests to R. S. Eisenberg, Tel.: 312-942-6467; E-mail: beisenbe{at}rush.edu.

Monte Carlo simulations of equilibrium selectivity of Na channels with a DEKA locus are performed over a range of radius R and protein dielectric coefficient {varepsilon}p. Selectivity arises from the balance of electrostatic forces and steric repulsion by excluded volume of ions and side chains of the channel protein in the highly concentrated and charged (~30 M) selectivity filter resembling an ionic liquid. Ions and structural side chains are described as mobile charged hard spheres that assume positions of minimal free energy. Water is a dielectric continuum. Size selectivity (ratio of Na+ occupancy to K+ occupancy) and charge selectivity (Na+ to Ca2+) are computed in concentrations as low as 10–5 M Ca2+. In general, small R reduces ion occupancy and favors Na+ over K+ because of steric repulsion. Small {varepsilon}p increases occupancy and favors Na+ over Ca2+ because protein polarization amplifies the pore's net charge. Size selectivity depends on R and is independent of {varepsilon}p; charge selectivity depends on both R and {varepsilon}p. Thus, small R and {varepsilon}p make an efficient Na channel that excludes K+ and Ca2+ while maximizing Na+ occupancy. Selectivity properties depend on interactions that cannot be described by qualitative or verbal models or by quantitative models with a fixed free energy landscape.




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