Trapping Dynamics with Gated Traps Stochastic ResonanceLike Phenomenon.pdf

Trapping Dynamics with Gated Traps: Stochastic Resonance-Like Phenomenon Alejandro D. S´anchez ∗ , Jorge A. Revelli † and Horacio S. Wio‡ Grupo de F´ısica Estad´ıstica § Centro At´omico Bariloche (CNEA) and Instituto Balseiro (CNEA and UNC) 0 8400 San Carlos de Bariloche, Argentina 0 0 We present a simple one-dimensional trapping model prompted by the problem of ion current 2 across biological membranes. The trap is modeled mimicking the ionic channel membrane behaviour. c Such voltage-sensitive channels are open or closed depending on the value taken by a potential. Here e we have assumed that the external potential has two contributions: a determinist periodic and a D stochastic one. Our model shows a resonant-like maximum when we plot the amplitude of the oscillations in the absorption current vs. noise intensity. The model was solved both numerically 5 and using an analytic approximation and was found to be in good accord with numerical simulations. 1 ] h c During the last decade we have witnessed a growing interest in the phenomenon of stochastic resonance (SR). e This phenomenon is related to the enhancement of the response of a nonlinear system due to the interplay between m nonlinear oscillations and noise. SR has been studied in different physical, chemical and biological contexts [1]. In - particular, it has been found to play a relevant role in several problems in biology: mammalian sensory systems, t a increment of the tactile capacity, visua