In many cell types, intracellular calcium is released from internal stores through calcium release channels which are distributed in clusters with a few tens of channels. Localized calcium release events, i.e. Ca2 + puffs, are subjected to stochastic channel dynamics and fluctuations of...

Both coherence resonance (CR) and stochastic resonance (SR) in a delayed bistable system driven by additive and multiplicative white noises and a weak harmonic excitation are studied by using the theory of two-state model. For the weak noise intensity and delayed feedback, the analytic...

For the multisensor linear discrete system with correlated noises and same measurement matrix, the self-tuning weighted measurement fusion Kalman filtering algorithm is presented when the model parameters and noise variances are all unknown. It can handle the self-tuning fused Kalman filtering,...

The effects of the delay time on the stability of a market model are investigated, by using a modified Heston model with a cubic nonlinearity and cross-correlated noise sources. These results indicate that: (i) There is an optimal delay time τo which maximally enhances the stability of the...

A time-delayed tumor cell growth model with correlated noises is investigated. In the condition of small delay time, the stationary probability distribution is derived and the stationary mean value (〈x〉st) and normalized varianceλ2 of the tumor cell population and state transition rate (κ)...

The effects of correlations between additive and multiplicative noises on the state variable correlation function of a bistable system driven by cross-correlated noises were studied. Applying an approximate Fokker–Planck equation to the system, the analytic expression for the state variable...

As a calcium oscillations system is in steady state, the effects of colored noise and noise delay on the system is investigated using stochastic simulation methods. The results indicate that: (1) the colored noise can induce coherence bi-resonance phenomenon. (2) there exist three peaks in the...

In view of same time delay τ 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...

In this paper, by introducing a particular kind of parametric non-Gaussian noise (NGN) via the inositol triphosphate (IP3), we study the effect of the NGN’s deviation q from the Gaussian noise and its correlation time τ, as well as the cell number N on the intercellular Ca2+ oscillations in...

The cooperative effects of inherent stochasticity and random long-range connections (RLRCs) on synchronization and coherence resonance in networks of calcium oscillators have been investigated. Two different types of collective behaviors, coherence resonance (CR) and synchronization, have been...