Linear noise approximation for stochastic oscillations of intracellular calcium

TL;DR

This paper develops an analytical approach using linear noise approximation to study stochastic calcium oscillations inside cells, revealing noise-induced oscillations beyond deterministic predictions.

Contribution

It introduces a linear noise approximation method to analytically predict power spectra of intracellular calcium fluctuations, highlighting noise-induced oscillations.

Findings

Power spectrum exhibits a peak indicating stochastic oscillations.

Noise-induced oscillations occur outside deterministic limit cycle regions.

Analytical predictions align with stochastic simulation results.

Abstract

A stochastic model of intracellular calcium oscillations is analytically studied. The governing master equation is expanded under the linear noise approximation and a closed prediction for the power spectrum of fluctuations analytically derived. A peak in the obtained power spectrum profile signals the presence of stochastic, noise induced, oscillations which extend also outside the region where a deterministic limit cycle is predicted to occur.