The cystic fibrosis transmembrane conductance regulator (CFTR) Cl channel exhibits lyotropic anion selectivity. Anions that are more readily dehydrated than Cl exhibit permeability ratios (PS/PCl) greater than unity and also bind more tightly in the channel. We compared the selectivity of CFTR to that of a synthetic anion-selective membrane [poly(vinyl chloride)–tridodecylmethylammonium chloride; PVC-TDMAC] for which the nature of the physical process that governs the anion-selective response is more readily apparent. The permeability and binding selectivity patterns of CFTR differed only by a multiplicative constant from that of the PVC-TDMAC membrane; and a continuum electrostatic model suggested that both patterns could be understood in terms of the differences in the relative stabilization of anions by water and the polarizable interior of the channel or synthetic membrane. The calculated energies of anion–channel interaction, derived from measurements of either permeability or binding, varied as a linear function of inverse ionic radius (1/r), as expected from a Born-type model of ion charging in a medium characterized by an effective dielectric constant of 19. The model predicts that large anions, like SCN, although they experience weaker interactions (relative to Cl) with water and also with the channel, are more permeant than Cl because anion–water energy is a steeper function of 1/r than is the anion–channel energy. These large anions also bind more tightly for the same reason: the reduced energy of hydration allows the net transfer energy (the well depth) to be more negative. This simple selectivity mechanism that governs permeability and binding acts to optimize the function of CFTR as a Cl filter. Anions that are smaller (more difficult to dehydrate) than Cl are energetically retarded from entering the channel, while the larger (more readily dehydrated) anions are retarded in their passage by “sticking” within the channel.
Cystic Fibrosis Transmembrane Conductance Regulator: Physical Basis for Lyotropic Anion Selectivity Patterns
It has been pointed out that the magnitude of the correction to the Born radius is expected to be solvent dependent (Grunwald 1997) so that, whereas the Latimer correction is appropriate for calculating the anion–water interaction energies, it is not necessarily appropriate for calculating anion–channel interaction energies. In the present work, we used the Latimer correction, which, although small for anions, introduces a degree of ambiguity in the calculation of the effective dielectric constant seen by the anion inside the channel (see text).
Dr. Smith's and Dr. Dawson's present address is Department of Physiology & Pharmacology, Oregon Health Sciences University, Portland, OR 97201
Abbreviations used in this paper: CFTR, cystic fibrosis transmembrane conductance regulator; GABAR, gamma amino butyric acid receptor; GlyR, glycine receptor; o-NPOE, ortho-nitrophenyloctyether; ORCC, outwardly rectifying chloride channel; PVC, poly(vinyl chloride); TDMAC, tridodecylmethylammonium chloride; wtCFTR, wild-type CFTR.
Here we assume that we may treat anion entry into CFTR as a quasi equilibrium process, as implied in the Nernst-Planck interpretation of the permeability ratio (see materials and methods and discussion).
Stephen S. Smith, Erich D. Steinle, Mark E. Meyerhoff, David C. Dawson; Cystic Fibrosis Transmembrane Conductance Regulator: Physical Basis for Lyotropic Anion Selectivity Patterns. J Gen Physiol 1 December 1999; 114 (6): 799–818. doi: https://doi.org/10.1085/jgp.114.6.799
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