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We consider a charged Brownian particle in an asymmetric bistableelectrostatic potential biased by an externally applied or induced timeperiodic electric field. While the amplitude of the applied field isindependent of frequency, that of the one induced by a magnetic field is.Borrowing from protein channel terminology, we define the open probability asthe relative time the Brownian particle spends on a prescribed side of thepotential barrier. We show that while there is no peak in the open probabilityas the frequency of the applied field and the bias (depolarization) of thepotential are varied, there is a narrow range of low frequencies of the inducedfield and a narrow range of the low bias of the potential where the openprobability peaks. This manifestation of stochastic resonance is consistentwith experimental results on the voltage gated Iks and KCNQ1 potassium channelsof biological membranes and on cardiac myocytes.

Stochastic resonance with applied and induced fields: the case of voltage-gated ion channels