Electronic Research Archive (Jan 2024)
Dynamical analysis of spontaneous Ca<sup>2+</sup> oscillations in astrocytes
Abstract
In this work, we focus on a nonlinear dynamical model proposed by Lavrentovich et al. to compute and simulate spontaneous Ca2+ oscillations evoked by calcium ion efflux in astrocytes. Selected parameters are chosen, with observation of periodic and chaotic Ca2+ oscillations in cytosol. The stability analysis of equilibrium is conducted using the center manifold theorem to investigate the dynamics underlying spontaneous Ca2+ oscillations in astrocytes. The results indicate that the Hopf bifurcation represents the dynamical changes in stability of spontaneous Ca2+ oscillations. In addition, numerical simulations are performed to further assess the validity of the aforementioned analysis.
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