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A review for dynamics of collective behaviors of network of neurons

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TLDR
In this review, the dynamics for neuron, neuronal network is introduced, for example, the mode transition in electrical activity, functional role of autapse connection, bifurcation verification in biological experiments, interaction between neuron and astrocyte, noise effect, coherence resonance, pattern formation and selection in network of neurons.
Abstract
The nervous system is composed of a large number of neurons, and the electrical activities of neurons can present multiple modes during the signal transmission between neurons by changing intrinsic bifurcation parameters or under appropriate external forcing. In this review, the dynamics for neuron, neuronal network is introduced, for example, the mode transition in electrical activity, functional role of autapse connection, bifurcation verification in biological experiments, interaction between neuron and astrocyte, noise effect, coherence resonance, pattern formation and selection in network of neurons. Finally, some open problems in this field such as electromagnetic radiation on electrical activities of neuron, energy consumption in neurons are presented.

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Journal ArticleDOI

Model of electrical activity in a neuron under magnetic flow effect

TL;DR: A four-variable neuron model is designed to describe the effect of electromagnetic induction on neuronal activities, and this model could be suitable for further investigation of electromagnetic radiation on biological neuronal system.
Journal ArticleDOI

A review for dynamics in neuron and neuronal network

TL;DR: In this review, the authors give careful comments for the presented neuron models and present some open problems in this field, nonlinear analysis could be effective to further discuss these problems and some results could be helpful to give possible guidance in the field of neurodynamics.
Journal ArticleDOI

Multiple modes of electrical activities in a new neuron model under electromagnetic radiation

TL;DR: It is found that the electromagnetic radiation can excite quiescent neuron but also can suppress the electrical activities in neuron as well, and these results are consistent with biological experiments.
Journal ArticleDOI

Phase synchronization between two neurons induced by coupling of electromagnetic field

TL;DR: Results confirmed that neurons exposed to external electromagnetic field can induce phase synchronization and appropriate behaviors can be selected, and could give new mechanism explanation for phase synchronization by applying field coupling between neurons.
Journal ArticleDOI

Dynamical responses in a new neuron model subjected to electromagnetic induction and phase noise

TL;DR: Based on an improved neuron model, the effect of electromagnetic induction is described by using magnetic flux, and the modulation of magnetic flux on membrane potential is realized by using memristor coupling as mentioned in this paper.
References
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Journal ArticleDOI

A quantitative description of membrane current and its application to conduction and excitation in nerve

TL;DR: This article concludes a series of papers concerned with the flow of electric current through the surface membrane of a giant nerve fibre by putting them into mathematical form and showing that they will account for conduction and excitation in quantitative terms.
Book

Dynamical Systems in Neuroscience

TL;DR: This book explains the relationship of electrophysiology, nonlinear dynamics, and the computational properties of neurons, with each concept presented in terms of both neuroscience and mathematics and illustrated using geometrical intuition, providing a link between the two disciplines.
Book

Spiking Neuron Models: Single Neurons, Populations, Plasticity

TL;DR: A comparison of single and two-dimensional neuron models for spiking neuron models and models of Synaptic Plasticity shows that the former are superior to the latter, while the latter are better suited to population models.
Journal ArticleDOI

Which model to use for cortical spiking neurons

TL;DR: The biological plausibility and computational efficiency of some of the most useful models of spiking and bursting neurons are discussed and their applicability to large-scale simulations of cortical neural networks is compared.
Journal ArticleDOI

Experience-dependent structural synaptic plasticity in the mammalian brain.

TL;DR: Recent evidence for structural forms of synaptic plasticity in the mammalian cortex involves cell type-specific structural plasticity: some boutons and dendritic spines appear and disappear, accompanied by synapse formation and elimination, respectively.
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