Role of time delay on intracellular calcium dynamics driven by non-Gaussian noises

Abstract

Effect of time delay (τ) on intracellular calcium dynamics with non-Gaussian noises in transmission processes of intracellular Ca2+ is studied by means of second-order stochastic Runge-Kutta type algorithm. By simulating and analyzing time series, normalized autocorrelation function, and characteristic correlation time of cytosolic and calcium store’s Ca2+ concentration, the results exhibit: (i) intracellular calcium dynamics’s time coherence disappears and stability strengthens as τ → 0.1s; (ii) for the case of τ < 0.1s, the normalized autocorrelation functions of cytosolic and calcium store’s Ca2+ concentration show damped motion when τ is very short, but they trend to a level line as τ → 0.1s, and for the case of τ > 0.1s, they show different variation as τ increases, the former changes from underdamped motion to a level line, but the latter changes from damped motion to underdamped motion; and (iii) at the moderate value of time delay, reverse resonance occurs both in cytosol and calcium store.

Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte

“…In fact, the Ca 2+ oscillating in astrocyte is much complex when uncertain perturbation such as noise and time delay is considered [51][52][53]. Different disturbances on excitable media are often described by applying different types of noise (additive or multiplicative) on the media and possible statistical properties are discussed [54].…”