Statistics for anti-synchronization of intracellular calcium dynamics

The anti-synchronization of calcium oscillation between cytosol and calcium store in intracellular calcium oscillation system with non-Gaussian noises and time delay are studied by means of second-order stochastic Runge–Kutta type algorithm. Basic on statistic, the normalized global synchronization error of Ca2+2+ concentration in cytosol and calcium store is simulated, the results exhibit, it shifts into single trough from multi troughs structure as parameter p (which is used to control the degree of the departure from the non-Gaussian noise and Gaussian noise) or density of non-Gaussian noises increases, however, it shifts into multi troughs from single trough structure as correlation time of non-Gaussian noises increases. In addition, the short, moderate, and long time delay respectively induce anti-synchronously quasi-periodic, synchronously quasi-periodic, and chaotic oscillation.