A study was carried out of a mathematical model of ion transport through biological membranes along the channels capable of conformational transitions between two states (R, T) with different conductivities. The model describes changes in time of te membrane potential and surface concentration of channels in one of the states (R). It has been shown that there may exist extinguishing oscillations with the frequency close to f0 on such a system may induce the resonance changes of the membrane potential. The resonance frequency f0 increases with an increase of the amplitude of external influence, this induces hesteresis of the membrane resonance parameters.
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