title: An approach to the current-voltage characteristics of nerve membranes based on adsorption phenomena.
abstract: Using Stern's double-layer adsorption model for the density of cations in the membrane pores, a quantitative approach to the stationary current-voltage characteristic of nerve membranes is developed. The interaction of mobile cations with the negative fixed charges, located inside the membrane, constitutes a resistance for the current through the membrane. The stepwise increase in the resistance for the hyperpolarization is ascribed to a stronger interaction accompanying a depletion of the adsorbed cations from the interior. Thermodynamic treatment of flows and forces is adapted to the situation, to give a current voltage relation amenable to experimental check. The value of the resting potential thus obtained gives a deviation from Nernst equation applied to the ion for which the membrane is mainly permeable. The effect of the membrane double-layer potential on the potential range in which the transition from low to high resistance takes place, is explicitly incorporated. Finally, a comparison of the theory with the experimental results for the squid axon and frog nerve fibers is made.
mesh_terms: D000818:Animals; D001001:Anura; D001369:Axons / Q000378:metabolism / Q000502:physiology; D002118:Calcium / Q000378:metabolism; D002462:Cell Membrane / Q000378:metabolism / Q000502:physiology; D049832:Decapodiformes; D008433:Mathematics; D008564:Membrane Potentials; D008567:Membranes, Artificial; D008959:Models, Neurological; D009420:Nervous System / Q000166:cytology / Q000378:metabolism; D009424:Nervous System Physiological Phenomena; D013045:Species Specificity; D013816:Thermodynamics
chemical_list: D008567:Membranes, Artificial; D002118:Calcium