Reverse resonance and stochastic resonance in intracellular calcium oscillations

The phenomena of an intracellular calcium oscillation system with non-Gaussian noises

“…Taking into account same time delay τ in processes of active and passive transport of Ca 2+ in a real cell, the Langevin equations of the ICO system read as follows [6,7]:…”

“…λ denotes cross-correlation degree of internal and external noise before merger [11]. The value of parameters are set as [6,7]: v 0 = 1 μM/s, v 1 = 7.3 μM/s, β 0 = 0.287, k f = 1/s, k = 10/s, V 2 = 65 μM/s, V 3 = 500 μM/s, k 1 = 1 μM, k 2 = 0.9 μM, k 3 = 2 μM, V = 1000 μm 3 , τ = 0.5 s, and λ = 0.1. The noises η 1 (t) and η 2 (t) are considered as non-Gaussian noises which are characterized by the following Langevin equation [39]:…”

“…Many interesting phenomena have been found such as stochastic resonance [5,6], reverse resonance [6], oscillatory coherence [7], coherence resonance [8], resonant activation [9], bistability solutions with hysteresis [10,11], calcium puffs [12], various spontaneous Ca 2+ patterns [13], stochastic backfiring [14], dispersion gap and localized spiral waves [15], stability transition [16], calcium wave instability [17], colored noise optimized calcium wave [18] etc. Recently, using stochastic simulation methods, one have found that the non-Gaussian noise can induce more regular spikes than the Gaussian noise [19] and colored noise can induce coherence bi-resonance phenomenon [20].…”

“…In Section 2, based on revised ICO model [6,7], in view of non-Gaussian noises, the model for ICO is presented newly. Then second-order stochastic Runge-Kutta type algorithm of the ICO system is introduced in Section 3.…”

Study of detecting mechanism of carbon nanotubes gas sensor based on multi-stable stochastic resonance model

“…[4][5] In a non-linear dynamic system, weak signals can be significantly amplified by adding external noise to a MSR system. [6][7][8] MSR has been a useful data processing technique and is widely applied in many research fields such as physics, [9][10][11] medicals, 12,13 biochemistry, 14,15 chemical physics, 16,17 etc. Lin et al first reported the phenomenon of the output SNR in a magnetized plasma system.…”