Effects of ion channel blocks on electrical activity of stochastic Hodgkin–Huxley neural network under electromagnetic induction

Xu, Ying; Jia, Ya; Ge, Mengyan; Liu, Lulu; Yang, Lijian; Zhan, Xuan

doi:10.1016/j.neucom.2017.12.036

Cited by 122 publications

(24 citation statements)

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“…Besides noise and time delay, electromagnetic effect is also ubiquitous and it has been reported that electromagnetic effect has significant effects on electrical activities of neurons in some cases. [48][49][50] Therefore, the subjects of our future work is to investigate whether the results obtained in this paper are robust when neurons are subjected to combined SW noise and electromagnetic radiation.…”

Section: Discussionmentioning

confidence: 99%

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Yao

Hou

2019

Int. J. Mod. Phys. B

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Noise and delay are ubiquitous in brain and they have significant effects on neuronal network synchronization and even brain functions. Based on a small-world neuronal network of delayed FitzHugh–Nagumo (FHN) neurons subjected to sine-Wiener (SW) bounded noise, the effects of delay and SW noise on synchronization and synchronization transition are numerically investigated by calculating a synchronization measure R and plotting spatiotemporal patterns. The phenomenon of delay-induced synchronization transition is observed as delay [Formula: see text] is increased. And large self-correlation time and strength of SW noise can increase the number of delay-induced synchronization transition. In addition, delay-induced synchronization transition is robust against the change of topology structure of neuronal network and this phenomenon becomes much easier to see for small nearest neighbors k in the small-world network. Since synchronization transition may imply functional switch, our results may have important implications, and inspire future studies.

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Section: Discussionmentioning

confidence: 99%

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Yao

Hou

2019

Int. J. Mod. Phys. B

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“…The electrical activity of biological cell membrane can be altered when exposed to electromagnetic induction, created during the period of ions current exchange as well as during fluctuation in ion concentration [9–11]. Following this report, many improved versions of the neurons model had been proposed.…”

Section: Introductionmentioning

confidence: 99%

Localized nonlinear excitations in diffusive memristor-based neuronal networks

et al. 2019

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We extend the existing ordinary differential equations modeling neural electrical activity to include the memory effect of electromagnetic induction through magnetic flux, used to describe time varying electromagnetic field. Through the multi-scale expansion in the semi-discrete approximation, we show that the neural network dynamical equations can be governed by the complex Ginzburg-Landau equation. The analytical and numerical envelop soliton of this equation are reported. The results obtained suggest the possibility of collective information processing and sharing in the nervous system, operating in both the spatial and temporal domains in the form of localized modulated waves. The effects of memristive synaptic electromagnetic induction coupling and perturbation on the modulated action potential dynamics examined. Large electromagnetic induction coupling strength may contribute to signal block as the amplitude of modulated waves are observed to decrease. This could help in the development of a chemical brain anaesthesia for some brain pathologies.

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“…Autpase feedback and channel noise can enhance the performance of weak periodic signal detection in Hodgkin-Huxley (HH) neuron if appropriate parameters are used (Ma and Tang 2017;Yilmaz and Ozer 2015). Moreover, electromagnetic radiation can induce model selection and transition of electrical activities in neuron, thereby contributing to transmission of complex signals (Ge et al 2017;Lu et al 2017;Wang et al 2017c;Wu et al 2017;Xu et al 2017). The high-frequency (HF) or spatially periodic force with appropriate strength and frequency may augment signal detection and transmission (Yao et al 2015;Yao and Zhan 2010).…”

Section: Introductionmentioning

confidence: 99%

Weak periodic signal detection by sine-Wiener-noise-induced resonance in the FitzHugh–Nagumo neuron

Yao

2018

Cogn Neurodyn

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Based on the FitzHugh-Nagumo (FHN) neuron model subjected to sine-Wiener (SW) noise, impacts of SW noise on weak periodic signal detection are investigated by calculating response measure Q for characterizing synchronization between the input signal and the output temporal activities of the neuron. It is numerically demonstrated that the response measure Q can achieve the optimal value under appropriate and moderate intensity or correlation time of SW noise, suggesting the occurrence of SW-noise-induced stochastic resonance. Furthermore, the optimal value of Q is sensitive to correlation time. Consequently, the correlation time of SW noise has a great influence on the performance of signal detection in the FHN neuron.

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Effects of ion channel blocks on electrical activity of stochastic Hodgkin–Huxley neural network under electromagnetic induction

Cited by 122 publications

References 50 publications

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Localized nonlinear excitations in diffusive memristor-based neuronal networks

Weak periodic signal detection by sine-Wiener-noise-induced resonance in the FitzHugh–Nagumo neuron

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