Complex Dynamics of a Calcium Oscillation Model in Non-excitable Cells

DOI

10.2991/icence-16.2016.145How to use a DOI?

Keywords

Calcium Oscillation, Bifurcation, Equilibrium, Periodic orbit

Abstract

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.

Copyright

© 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/).

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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  - 10.2991/icence-16.2016.145
ID  - Fang2016/09
ER  -