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Boda * 



* Department of Molecular Biophysics and Physiology, Rush University Medical Center, Chicago, Illinois;
Department of Physiology and Biophysics, Miller School of Medicine, University of Miami, Miami, Florida;
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
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
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
p; charge selectivity depends on both R and
p. Thus, small R and
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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