Kinetic Analysis of Ca2+/K+ Selectivity of an Ion Channel by Single-Binding-Site Models

Current-voltage relationships of a cation channel in the tonoplast of Beta vulgaris, as recorded in solutions with different activities of Ca²⁺ and K⁺ (from Johannes & Sanders 1995, J. Membrane Biol. 146:211–224), have been reevaluated for Ca²⁺/K⁺ selectivity. Since conversion of reversal voltages to permeability ratios by constant field equations is expected to fail because different ions do not move independently through a channel, the data have been analyzed with kinetic channel models instead. Since recent structural information on K⁺ channels show one short and predominant constriction, selectivity models with only one binding site are assumed here to reflect this region kinetically. The rigid-pore model with a main binding site between two energy barriers (nine free parameters) had intrinsic problems to describe the observed current-saturation at large (negative) voltages. The alternative, dynamic-pore model uses a selectivity filter in which the binding site alternates its orientation (empty, or occupied by either Ca²⁺ or K⁺) between the cytoplasmic side and the luminal side within a fraction of the electrical distance and in a rate-limiting fashion. Fits with this model describe the data well. The fits yield about a 10% electrical distance of the selectivity filter, located about 5% more cytoplasmic than the electrical center. For K⁺ translocation, reorientation of the unoccupied binding site (with a preference of about 6:5 to face the lumenal side) is rate limiting. For Ca²⁺, the results show high affinity to the binding site and low translocation rates (<1% of the K⁺ translocation rate). With the fitted model Ca²⁺ entry through the open channel has been calculated for physiological conditions. The model predicts a unitary open channel current of about 100 fA which is insensitive to cytoplasmic Ca²⁺ concentrations (between 0.1 and 1 μm) and which shows little sensitivity to the voltage across the tonoplast. Received: 19 February 1997/Revised: 19 May 1997