@article{Zhang2024, 
author = {Yapeng Zhang and Yu Chen and Quanbao Ji},
title = {Dynamical analysis of spontaneous Ca2+ oscillations in astrocytes},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {1},
pages = {405-417},
keywords = {astrocytes, Hopf bifurcation, center manifold, stability},
url = {https://www.sciopen.com/article/10.3934/era.2024020},
doi = {10.3934/era.2024020},
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.}
}