A review for dynamics of collective behaviors of network of neurons

Ma, Jun; Tang, Jun

doi:10.1007/s11431-015-5961-6

Cited by 231 publications

(60 citation statements)

References 59 publications

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“…Ciszak and Bellesi [14] considered a network of coupled neurons in which the strength of the interactions is modulated by synaptic long term potentiation and depression. Tang et al [15] confirmed that the membrane potential of a neuron depends on the changes of transmembrane current, opening/closing of ion channels, and even the regulation induced by astrocyte in a network composed of neuron bridged by astrocyte, and a review for dynamics in neuron and neuronal network [16,17] was also provided for possible guide. Zhang et al [18] suggested that the HR system may give an effective response to external stimulus by adjusting its intrinsic parameter, and this transition mode confirmed self-adaption of neuron.…”

Section: Introductionmentioning

confidence: 97%

“…The external forcing current and other bifurcation parameters [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] are used to investigate the transition between modes of electrical activities and dynamical response because the excitability of neuron can be changed by external electric stimuli effectively. For example, Wang et al [10,11] studied the fact that neuron electrical activities can be modulated by an external electric field and the responses of three classes of Morris-Lecar neurons to sinusoidal inputs and synaptic pulse-like stimuli.…”

Section: Introductionmentioning

confidence: 99%

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Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

et al. 2017

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The electrical activities of neurons are dependent on the complex electrophysiological condition in neuronal system, the threevariable Hindmarsh-Rose (HR) neuron model is improved to describe the dynamical behaviors of neuronal activities with electromagnetic induction being considered, and the mode transition of electrical activities in neuron is detected when external electromagnetic radiation is imposed on the neuron. In this paper, different types of electrical stimulus impended with a highlow frequency current are imposed on new HR neuron model, and mixed stimulus-induced mode selection in neural activity is discussed in detail. It is found that mode selection of electrical activities stimulated by high-low frequency current, which also changes the excitability of neuron, can be triggered owing to adding the Gaussian white noise. Meanwhile, the mode selection of the neuron electrical activity is much dependent on the amplitude of the high frequency current under the same noise intensity, and the high frequency response is selected preferentially by applying appropriate parameters and noise intensity. Our results provide insights into the transmission of complex signals in nerve system, which is valuable in engineering prospective applications such as information encoding.

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Section: Introductionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

et al. 2017

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“…The concept of small-world networks by Watts and Strogatz was also included [1,6]. The recent innovation is the introduction of time delays to network models [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] which allows to study the influence of the limited speed of information processing on the network dynamics. This speed limitation is indeed present in neuronal communication as the action potential propagates with the speed of tens of meters per second which is a significant aspect if the physical size of nerve tissue taken into consideration.…”

Section: Introductionmentioning

confidence: 99%

Spatial evolution of Hindmarsh–Rose neural network with time delays

Łepek¹,

Fronczak²

2018

Nonlinear Dyn

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Spatial relations between neurons in the network with time delays play a crucial role in determining dynamics of the system. During the development of the nervous system, different types of neurons group together to enable specific functions of the network. Right spatial distances, thus right time delays between cells are crucial for an appropriate functioning of the system. To model the process of neural migration, we proposed simple but effective model of network spatial evolution based on Hindmarsh-Rose neurons and Metropolis-Hastings Monte Carlo algorithm. Under the specific assumptions and using appropriate parameters of the neural evolution, the network can converge to the desirable state giving the opportunity of achieving large variety of spectra. We show that there is a specific range of network size in space which allows it to generate assumed output. A network or generally speaking a system with time delays (corresponding to the arrangement in the physical space) of specific output properties has a specific spatial dimension that allows it to function properly.

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“…Furthermore, autapse driving in the network can regulate the collective behaviors of network by generating continuous pulse or wave fronts, thus synchronization; pattern selection can be realized [19][20][21][22]. Readers can find brief survey for neurodynamics and dynamics in neuronal network in [23] and references therein. The author of this paper ever explained the formation mechanism of autapse connection to neuron; it is argued that formation of autapse can be helpful to enhance signal propagation along an auxiliary loop; thus autapse is developed [24]; then time delay and feedback gain are used to describe the properties of this loop.…”

Section: Introductionmentioning

confidence: 99%

Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte

Guo

Tang

et al. 2017

Complexity

Self Cite

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Autapse connection is considered on a biological neuron coupled by astrocyte, and the effect of autapse driving-induced response in electrical activities is investigated. In this paper, a simple network is developed on the Hodgkin-Huxley (HH) neuron coupled by astrocyte and the autapse effect is also considered. The modulation of autapse connected to HH neuron can change the membrane potential by applying time-delayed feedback along a close loop. It is found that the self-adaption of autapse driving can make the network of neuron-astrocyte generate different modes of electrical activities, and oscillating behavior of Ca 2+ and IP 3 setting is controlled. This new network model can give potential understanding about self-adaption of neuron to external forcing when the coupling of astrocyte and autapse is considered.

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A review for dynamics of collective behaviors of network of neurons

Cited by 231 publications

References 59 publications

Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

Mixed Stimulus-Induced Mode Selection in Neural Activity Driven by High and Low Frequency Current under Electromagnetic Radiation

Spatial evolution of Hindmarsh–Rose neural network with time delays

Autaptic Modulation of Electrical Activity in a Network of Neuron-Coupled Astrocyte

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