Enhancement and sustainment of internal stochastic resonance in unidirectional coupled neural system

Abstract

In this study, the collective dynamical behavior of two unidirectionally, linearly coupled neurons was investigated. Our investigation illustrates that, depending on the coupling strength, the internal stochastic resonance (ISR) effect observed in one of the two neurons could be amplified or sustained by the other. The amplification of ISR is enhanced as the coupling strength is increased from 0. However, when the coupling strength is increased above a certain level, the amplification of ISR is reduced, implicating that there exists an optimal coupling strength for the information flow between two neurons. As the coupling strength is increased further, i.e., above the critical level, synchronization of the two subsystems is achieved, yet the two subsystems exhibit the same magnitude response to the external noise, suggesting that the information transmission among coupled subunits could not be improved by further enhancing their coupling strength. And similar phenomena could also be obtained for the nonidentical case.

System-size resonance for intracellular and intercellular calcium signaling

“…This is different from the results reported in Ref. [15], where subsystems synchronized as the coupling strength exceeded a critical value. These findings are expected to be of importance toward the understanding of intracellular and intercellular calcium signaling.…”

“…The array-enhanced resonance phenomenon has been observed in some unidirectionally coupled oscillators [15], where one subsystem (acts as the driver) is exposed to external noise. At certain coupling strength, synchronization appears among the coupled elements.…”

“…Recently, there has been increasing interests in coupled oscillators. Especially interesting is the phenomenon of array-enhanced coherence resonance (AECR), where the coherence can be significantly improved when the noisy excitable elements are coupled [14][15][16]. The influence of internal noise has been taken into account in coupled oscillators in biosystems [17][18][19].…”

Multiple coherence resonance induced by time-periodic coupling in stochastic Hodgkin–Huxley neuronal networks

“…A number of theoretical and experimental studies have observed the CR and array-enhanced CR (AECR) phenomena in neurons, and confirmed that noise supports signal code or signal transmission in neurons. [49][50][51][52][53][54][55] For example, Hu and Zhou demonstrated that coupling can enhance greatly the noise-induced coherence in two-way coupled non-identical FitzHugh--Nagumo (FHN) system where all neurons are injected to independent external noise. 49 Zhou et al studied the effect of CR in a heterogeneous array of two-way coupled FHN neurons, in which the system subjects to spatially correlated noise.…”

Coherence resonance and bi-resonance by time-periodic coupling strength in Hodgkin-Huxley neuron networks

“…For neuronal networks, coupling of neurons is a key factor in the firing activity and thus has been paid much attention in the past years. Many phenomena of SR and CR induced by coupling type and coupling strength have been found [43][44][45][46][47][48][49]. For example, Hu and Zhou [43] have demonstrated that coupling can greatly enhance the noise-induced coherence in a two-way coupled non-identical FHN system where all neurons are injected to independent external noise.…”