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Abstract
We have studied the role of internal noise for intracellular calcium signaling in coupled biological cell system. It is found that internal noise can induce calcium oscillations and the performance of such oscillations shows two peaks with the variation of the cell size-Ω for any cell chain length-N, indicating the occurrence of system size bi-resonance or internal noise stochastic bi-resonance, which may be very relevant to the canard explosion. We also find that there exists an optimal cell chain length-N for the first peak at which the collective calcium oscillations show the best performance, it is also a phenomenon of "system size resonance". It is interesting to note that one of the optimal cell sizes is present at Ω ~ 103μm3, which is close to a real living cell size in vivo.
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