Stochastic resonance in thermally activated reactions: Application to biological ion channels

Chaos
Sergey M. Bezrukov, Igor Vodyanoy

Abstract

At the molecular level many thermally activated reactions can be viewed as Poisson trains of events whose instantaneous rates are defined by the reaction activation barrier height and an effective collision frequency. When the barrier height depends on an external parameter, variation in this parameter induces variation in the event rate. Extending our previous work, we offer a detailed theoretical analysis of signal transduction properties of these reactions considering the external parameter as an input signal and the train of resulting events as an output signal. The addition of noise to the system input facilitates signal transduction in two ways. First, for a linear relationship between the barrier height and the external parameter the output signal power grows exponentially with the mean square fluctuation of the noise. Second, for noise of a sufficiently high bandwidth, its addition increases output signal quality measured as the signal-to-noise ratio (SNR). The output SNR reaches a maximum at optimal noise intensity defined by the reaction sensitivity to the external parameter, reaction initial rate, and the noise bandwidth. We apply this theory to ion channels of excitable biological membranes. Based on classical resul...Continue Reading

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Citations

Aug 29, 2012·PLoS Computational Biology·Marco PatriarcaRaúl Toral
Aug 16, 2005·Neural Networks : the Official Journal of the International Neural Network Society·Ashok Patel, Bart Kosko
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·Z Hou, H Xin
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I Goychuk
Jan 13, 2009·American Journal of Physiology. Lung Cellular and Molecular Physiology·Stephen P AroldBéla Suki

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