Hopf bifurcation control of calcium oscillations in hepatocytes
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Authors
Quanbao Ji
- School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China.
Hongkun Zuo
- School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China.
Yi Zhou
- School of Financial Science, Huainan Normal University, Huainan 232038, Anhui, P. R. China.
Abstract
This paper discusses a problem of the Hopf bifurcation control for a mathematical model of intracellular calcium oscillations
by calculating the curvature coefficient of limit cycle and the bifurcation control theory. We find that the appearance and
disappearance of calcium oscillations in this system are due to the supercritical and subcritical Hopf bifurcation of equilibrium
points, respectively. In addition, a nonlinear feedback controller is proposed to control the frequency and amplitude of periodic
orbits arising from the Hopf bifurcation. Numerical analysis and simulation results are carried out to illustrate the validity of
the feedback controller in controlling Hopf bifurcations.
Share and Cite
ISRP Style
Quanbao Ji, Hongkun Zuo, Yi Zhou, Hopf bifurcation control of calcium oscillations in hepatocytes, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 6, 2879--2885
AMA Style
Ji Quanbao, Zuo Hongkun, Zhou Yi, Hopf bifurcation control of calcium oscillations in hepatocytes. J. Nonlinear Sci. Appl. (2017); 10(6):2879--2885
Chicago/Turabian Style
Ji, Quanbao, Zuo, Hongkun, Zhou, Yi. "Hopf bifurcation control of calcium oscillations in hepatocytes." Journal of Nonlinear Sciences and Applications, 10, no. 6 (2017): 2879--2885
Keywords
- Calcium oscillations
- control
- Hopf bifurcation
- curvature coefficient.
MSC
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