Colored noises and time delay induced periodic square calcium wave

Duan, Wei-Long

doi:10.1007/s12648-014-0624-1

Cited by 4 publications

(2 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If noise is Gaussian white noise, there is also critical phenomenon of time delay 37 39 . If noise is Gaussian colored noise, time delay would induce reverse resonance and stochastic resonance 6 , oscillatory coherence 9 , resonant activation 10 , periodic square calcium wave 36 , stability transition 40 , calcium spikes 41 . Comparing above results concerning non-Gaussian noise with previous our works about Gaussian one, there is many differences.…”

Section: Time Series Naf and Cct Of Intracellular Ca 2+ mentioning

confidence: 99%

“…In our research on ICO 6 7 9 10 36 37 38 39 40 41 , taking into account time delay in processes of active and passive transport of intracellular Ca 2+ , the roles of time delay and Gaussian colored noises on ICO system have been studied. In view of non-Gaussian noise in ICO with time delay, we have only studied the role of non-Gaussian noises on ICO, but the effect of time delay on ICO system has not been studied.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Role of time delay on intracellular calcium dynamics driven by non-Gaussian noises

Duan

Zeng

2016

Sci Rep

View full text Add to dashboard Cite

Effect of time delay (τ) on intracellular calcium dynamics with non-Gaussian noises in transmission processes of intracellular Ca2+ is studied by means of second-order stochastic Runge-Kutta type algorithm. By simulating and analyzing time series, normalized autocorrelation function, and characteristic correlation time of cytosolic and calcium store’s Ca2+ concentration, the results exhibit: (i) intracellular calcium dynamics’s time coherence disappears and stability strengthens as τ → 0.1s; (ii) for the case of τ < 0.1s, the normalized autocorrelation functions of cytosolic and calcium store’s Ca2+ concentration show damped motion when τ is very short, but they trend to a level line as τ → 0.1s, and for the case of τ > 0.1s, they show different variation as τ increases, the former changes from underdamped motion to a level line, but the latter changes from damped motion to underdamped motion; and (iii) at the moderate value of time delay, reverse resonance occurs both in cytosol and calcium store.

show abstract