Competitive membrane adsorption of Na⁺, K⁺, and Ca²⁺ in smooth muscle cells

A theory for Na⁺, K⁺ and Ca²⁺ competitive adsorption to a charged membrane is used to explain a number of experimental observations in smooth muscle. Adsorption is described by Langmuir isotherms for mono- and divalent cations which in turn are coupled in a self-consistent way to the bulk solution through the diffuse double layer theory and the Boltzman equations. We found that the dissociation constants for binding of Na⁺, K⁺ and Ca²⁺ in guinea pig taenia coli are ca. 0.009, 1.0, and 4×10^-8m, respectively. Furthermore, the effect of a Ca²⁺ pump that maintains free surface Ca²⁺ concentration constant is investigated. A decrease in intracellular Na⁺ content results in an increased Ca²⁺ uptake; part of this uptake is due to an increase in surface-bound Ca²⁺ in an intracellular compartment which is in contact with the myofilaments. Variations in the amount of charge available to bind Ca²⁺ and the surface charge density are studied and their effect interpreted in terms of different pharmacological agents.