Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)

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

Authors
Wei Fang, Jianwei Hu
Corresponding Author
Wei Fang
Available Online September 2016.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2nd International Conference on Electronics, Network and Computer Engineering (ICENCE 2016)
Series
Advances in Computer Science Research
Publication Date
September 2016
ISBN
978-94-6252-229-9
ISSN
2352-538X
DOI
https://doi.org/10.2991/icence-16.2016.145How to use a DOI?
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/).

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  -