Stochastic resonance of electrochemical aperiodic spike trains

Abstract

Aperiodic stochastic resonance in an electrochemical system with excitable dynamics is characterized in experiments and simulations. Two different spike trains, one with stochastic and the other with chaotic interspike intervals, are imposed on the system as subthreshold aperiodic signals. Information transmission is quantified by the cross correlation between the subthreshold input signal and the noise induced system response. A maximum is exhibited in the input-output correlation as a function of the noise amplitude. Numerical simulations with an electrochemical model are in excellent agreement with the experimental observations.

Intrinsic noise induced resonance in presence of sub-threshold signal in Brusselator

“…C 0 can be positive or negative depending on the relative sign of output response and the input signal. In this study C 0 is always positive, but for easier comparison with earlier publications [13,16] we use |C 0 |. We will decide the average location of the set point of our system, in 'a-b' space by choosing appropriate k 1 , k 2 , k 3 , k 4 , z 1 , and z 2 values.…”

“…To characterize the regularity in the response of the system, a measure of the correlation between output response and input signal, called the power norm C 0 [13,16] is used:…”

“…In this paper, we study primarily periodic stochastic resonance (PSR) and aperiodic stochastic resonance (ASR). These effects have been seen in multiple non-linear systems [8][9][10][11][12][13][14][15][16] with extrinsic noise. When a non-linear system is near a bifurcation threshold, and subjected to an weak input signal superposed with a noise, the response of the output shows maximum "regularity" for an optimum strength of noise.…”

“…The input signal used for PSR is periodic and for ASR is aperiodic. The superimposed noise used in earlier studies were mostly extrinsic -for example, in the theoretical models [8][9][10] noise has been added externally to the dynamical equations, while in experiments on electrochemical cell [15,16] external noise has been added to the voltage.…”

Interaction of noise with excitable dynamics

“…Oscillations in anodic current I (the current between the anode and the cathode) were recorded using a 12 bit data acquisition card at a sampling rate of 250 Hz. The external noise used in the experiments (Escalera Santos et al 2004a,b;Parmananda et al 2005;Rivera et al 2005) was derived from a random number generator consistent with white noise with a Gaussian distribution (Press et al 1992). This output was converted to an analogue signal and superimposed on to the anodic voltage via a potentiostat (PINE Model AFRDE5).…”