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

Abstract

In this paper, we study the effect of time-periodic coupling strength (TPCS) on the spiking coherence of Newman-Watts small-world networks of stochastic Hodgkin-Huxley (HH) neurons and investigate the relations between the coupling strength and channel noise when coherence resonance (CR) occurs. It is found that, when the amplitude of TPCS is varied, the spiking induced by channel noise can exhibit CR and coherence bi-resonance (CBR), and the CR moves to a smaller patch area (bigger channel noise) when the amplitude increases; when the frequency of TPCS is varied, the intrinsic spiking can exhibit CBR and multiple CR, and the CR always occurs when the frequency is equal to or multiple of the spiking period, manifesting as the locking between the frequencies of the intrinsic spiking and the coupling strength. These results show that TPCS can greatly enhance and optimize the intrinsic spiking coherence, and favors the spiking with bigger channel noise to exhibit CR. This implies that, compared to constant coupling strength, TPCS may play a more efficient role for improving the time precision of the information processing in stochastic neuronal networks.

Enhancement of temporal coherence via time-periodic coupling strength in a scale-free network of stochastic Hodgkin–Huxley neurons

“…2. These results are consistent with the results obtained by Lin et al [47] for Newman-Watts small-world networks of stochastic H-H neurons, where they reported the occurrence multiple CR phenomenon in accordance with the frequency of TPCS.…”

“…This type of the resonance enhanced response is also reported in single neuron [63] and complex networks of neurons [19,62]. We obtain the multiple CR phenomenon depending on the frequency of TPCS as in [47] for the optimal channel noise intensity. We also examine the effects of the amplitude of TPCS on the coherence of the network and arrive at two facts: the first one is that temporal coherence exhibits a resonance-like dependence on cell size regardless of the value of ε 0 , and the maximal coherence is obtained for the same cell size, corresponding to optimal intensity of channel noise.…”

“…Enhancement of multiple synchronization transition, emerging in delayed Newman-Watts small-world networks of chaotic bursting neurons, is obtained by TPCS in Xu et al [46]. Lin et al showed that stochastic H-H neurons exhibit CR, coherence biresonance (CBR) depending on amplitude of TPCS and CBR, multiple CR depending on frequency of TPCS in own firing behaviors in a small-word neuronal network [47].…”

Multiple firing coherence resonances in excitatory and inhibitory coupled neurons

“…Excitable systems in general proved to be very susceptible to a multitude of noise-induced phenomena, as reviewed comprehensively in [30]. Adding spatial degrees of freedom, along with the possibilities for introducing other sources of heterogeneity, lead to the discovery of very interesting and quite exotic phenomena, such as the ghost resonance [31], and double as well as multiple stochastic [32][33][34][35] and coherence [36][37][38][39] resonances.…”

Autapse-induced multiple coherence resonance in single neurons and neuronal networks

“…Thus, its effects on the neuronal dynamics have been investigated in detail. In particular, the emergence of multiple CR (MCR) phenomenon induced by information transmission delay and time periodic coupling strength in the presence of channel noise is reported in various theoretical works 22 23 24 . For instance, Gong et al .…”