Time delay induces oscillatory coherence in intracellular calcium oscillation system

• Both NAFs exhibit periodically synchronous sawtooth waves.
• Sawtooth waves weaken as correlation time of colored noises or autocorrelation time increases.
• Time delay induces oscillatory coherence in intracellular calcium oscillation.

In view of same time delay ττ in active and passive transmission processes with colored noises of intracellular Ca2+, by means of second-order algorithm for stochastic simulation colored noises, the normalized autocorrelation function (NAF) and the characteristic correlation time (CCT) of cytosolic and calcium store’s Ca2+ concentration are studied. For the case of long ττ: both NAFs of cytosolic and calcium store’s Ca2+ concentration exhibit periodically synchronous sawtooth wave, which linearly weakens as correlation time of colored noises or autocorrelation time increases. As ττ increases, time delay induces oscillatory coherence in intracellular calcium oscillation system.