Model electrical activity of neuron under electric field

Ma, Jun; Zhang, Ge; Hayat, Tasawar; Ren, Guo-Dong

doi:10.1007/s11071-018-4646-7

Cited by 113 publications

(27 citation statements)

References 66 publications

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“…Some similar research results have also been reported in [21,22]. And [23] obtained multiple firing patterns such as periodic bursting, stochastic bursting, chaotic bursting and chaos firing in an isolated neuron exposed to external electric field. Similarly, multiple firing patterns including chaotic bursting and stochastic bursting have been verified in a sciatic nerve chronic constriction injury neuron [24].…”

Section: Introductionsupporting

confidence: 76%

Firing multistability in a locally active memristive neuron model

et al. 2020

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The theoretical, numerical and experimental demonstrations of firing dynamics in isolated neuron are of great significance for the understanding of neural function in human brain. In this paper, a new type of locally active and non-volatile memristor with three stable pinched hysteresis loops is presented. Then a novel locally active memristive neuron model is established by using the locally active memristor as a connecting autapse, both firing patterns and multistability in this neuronal system are investigated. We have confirmed that, on the one hand, the construced neuron can generate multiple firing patterns like periodic bursting, periodic spiking, chaotic bursting, chaotic spiking, stochastic bursting, transient chaotic bursting and transient stochastic bursting. On the other hand, the phenomenon of firing multistability with coexisting four kinds of firing patterns can be observed via changing its initial states. It is worth noting that the proposed neuron exhibits such firing multistability previously unobserved in single neuron model. Finally, an electric neuron is designed and implemented, which is extremely useful for the practical scientific and engineering applications. The results captured from neuron hardware experiments match well with the theoretical and numerical simulation results.

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Section: Introductionsupporting

confidence: 76%

Firing multistability in a locally active memristive neuron model

et al. 2020

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“…Generally, it will cause magnetization and polarization of the medium when the systems are exposed to an external electromagnetic field, which will lead to changes in the distribution and transmission of various charged ions (e.g., potassium, sodium, and calcium ions) inside and outside the cell, meanwhile, inducing time-varying induced electric field and current [56,57]. Ma et al [58] realized the polarization modulation of media caused by external electric field changes by introducing electric field variables and confirmed that different electric fields could lead to complex electrical activities and evolution modes in the FHN neuron model. Ref.…”

Section: Model Descriptionmentioning

confidence: 99%

Dynamic Analysis and Synchronization with Unidirectional Coupling Involving Energy of a HR Neuron Under Electric Field and Memristive Autapse

Qiao

Gao

et al. 2021

Preprint

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Reliable neuron models play an important role in identifying the electrical activities, global bifurcation patterns, and dynamic mechanisms of neurons in complex electromagnetic environments. Considering the memristive autapse involving magnetic coupling has voltage-controlled, nonlinear, and memory, a 5-D HR neuron model containing magnetic field and electric field variables is established. Detailedly, the existence and stability conditions of the equilibrium point are determined by theoretical analysis, and the complex time-varying stability, saddle-node bifurcation, and Hopf bifurcation behaviors of the model are verified by numerical calculation. Interestingly, the system has a bistable structure consisting of quiescent state and period-1 and period-2 bursting modes near the subcritical Hopf bifurcation. It is noteworthy that the memristive autapse has a complex regulation mechanism for the bistable region so that three kinds of bistable coexisting structures and counterintuitive dynamic phenomena can be induced by appropriately adjusting the memristive autapse. Accordingly, the mechanism of positive feedback memristive autapse decreases its firing frequency, while negative feedback memristive autapse promotes its excitability was revealed by the fast-slow dynamic analysis. Extensive numerical results display that the system generally possesses period-adding bifurcation modes and comb-shaped chaotic structures. Furthermore, it is found that the firing modes and multistability regions of the system can be accurately predicted by analyzing the global dynamic behaviors of Hamilton energy. Importantly, it is verified that the unidirectional coupling controller involving energy is far more efficient and consumes less energy than electrical synaptic coupling in achieving complete synchronization with mismatched parameters.

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“…Fluctuation in charge distribution and polarization of the media occurs when exposed to electric field. Magnetization also occurs when the media is exposed to time-varying magnetic field due to induced electric field generated [20] . Therefore, during dynamical analysis on reliable model, the effect of electric field distribution becomes more distinct and should be included.…”

Section: Introductionmentioning

confidence: 99%

Pattern selection in coupled neurons under high-low frequency electric field

Takembo

Sone

2021

Heliyon

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Biological neurons exposed to an external electric field can induce polarization and charge fluctuation. Indeed, the exchange of calcium, sodium and potassium ions across the cell membrane can induce an electric field as a result of a time-varying electromagnetic field set up. This field could further modulate the cell electrical activity by inducing multiple firing modes. Based on the physical law of electric field, an improved model which includes an additive electrical field variable is constructed for a network of neurons to study wave propagation and mode transition by exploring the longtime dynamics of slightly perturbed plane waves in the network. Wave pattern and mode transition dependence on the different parameters of external electric field are discussed. It is found that the plane wave propagating in the coupled system breaks down to localized structures under the activation of modulational instability. The network under high-low external electric field supports bursting synchronization. This could be a fruitful avenue to discern the occurrence of paroxysmal epilepsy.

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Model electrical activity of neuron under electric field

Cited by 113 publications

References 66 publications

Firing multistability in a locally active memristive neuron model

Firing multistability in a locally active memristive neuron model

Dynamic Analysis and Synchronization with Unidirectional Coupling Involving Energy of a HR Neuron Under Electric Field and Memristive Autapse

Pattern selection in coupled neurons under high-low frequency electric field

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