Abstract
Ion channels are regulated by voltage, various ligands, but also by membrane properties such as lipid composition and surface charge. Here, the dependence of ion transport on membrane charge and ion concentration is analyzed. The setting is that the membrane contains cation- and anion-selective channels, and the ionic strength is determined by the concentration of permeant ions. The conductance (G) is proportional to the respective ion concentration at the membrane surface, which in turn is related to the bulk concentration (c) through the Boltzmann factor: G = Acexp(-ze ψ/kT), where A is the permeability coefficient, z is the ion's charge number, including sign, e is the elementary charge, ψ is the membrane surface potential, k is the Boltzmann constant, T is the temperature.
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