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Stochastic dynamics of electrical membrane with voltage-dependent ion channel fluctuations

Stochastic dynamics of electrical membrane with voltage-dependent ion channel fluctuations

A Brownian ratchet like stochastic theory for the electrochemical membrane system of Hodgkin-Huxley (HH) is developed.The system is characterized by a continuous variable Qm(t), representing mobile membrane charge density, and a discrete variable Kt representing ion channel conformational dynamics.A Nernst-Planck-Nyquist-Johnson type equilibrium is obtained when multiple conducting ions have a …