Hopf bifurcation control of calcium oscillations in hepatocytes


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.


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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


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