INDIAN JOURNAL OF PHYSICS, cilt.99, sa.9, ss.3585-3592, 2025 (SCI-Expanded)
In this study, we investigate the stochastic dynamics of deformed voltage-gated ion channels with two states using operator formalism. We express the open probability of the ion channels in terms of the Mittag-Leffler function. Next, we compute the current, autocorrelation, autocovariance functions, and power spectrum of the channel system based on the open probability. Our results show that these correlation functions deviate from the exponential form and follow a stretched exponential (i.e., KWW) form. Additionally, we find that the power spectra deviate from the Lorentzian shape. These findings suggest that deformations in ion channels can influence the opening and closing dynamics, leading to non-Markovian processes and non-exponential behaviors.