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Mathematical Problems in Engineering
Volume 2015, Article ID 785726, 6 pages
http://dx.doi.org/10.1155/2015/785726
Research Article

Physical Manipulation of Calcium Oscillation in Shen-Larter Cell System

Department of Financial Science, Huainan Normal University, Huainan, Anhui 232038, China

Received 3 May 2015; Accepted 28 June 2015

Academic Editor: Dapeng P. Du

Copyright © 2015 Hongkun Zuo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Experimental observations show that calcium signals in response to external stimuli encode information via frequency modulation or alternatively via amplitude modulation. Here, by arguments of bifurcation theory and bifurcation control theorem, the amplitude and frequency manipulation of limit cycle in Shen-Larter cell system are investigated. A nonlinear feedback controller is then applied to the system, in order to assign the peak frequency to a prescribed value, such that bifurcation is minimized or eliminated in the closed-loop system. And numerical simulations are presented in order to illustrate the theoretical analysis.