Complex Dynamics of a Calcium Oscillation Model in Non-excitable Cells
- https://doi.org/10.2991/icence-16.2016.145How to use a DOI?
- Calcium Oscillation, Bifurcation, Equilibrium, Periodic orbit
In order to explain the mechanism of the calcium oscillations induced by the calcium-induced calcium release in non-excitable cells, the Kummer-Olsen calcium oscillation model was proposed. In this paper, by using the qualitative theory, bifurcation theorem and the center manifold theory, the nonlinear dynamics of this model is first characterized, including the stability and classification of the equilibrium points with parameter value. It is shown that supercritical Hopf bifurcations play very important roles in calcium oscillations. Furthermore, some new numerical simulations have confirmed the theoretical analysis results. Based on the existing numerical results with the theoretical analysis, complex dynamics of the Kummer-Olsen calcium oscillation model has been described perfectly.
- © 2016, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Wei Fang AU - Jianwei Hu PY - 2016/09 DA - 2016/09 TI - Complex Dynamics of a Calcium Oscillation Model in Non-excitable Cells BT - Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016) PB - Atlantis Press SP - 784 EP - 789 SN - 2352-538X UR - https://doi.org/10.2991/icence-16.2016.145 DO - https://doi.org/10.2991/icence-16.2016.145 ID - Fang2016/09 ER -