Spike-sorting analysis of neural electrical signals evoked by acupuncture based on model

Qin, Qing; Liu, Yajiao; Shan, Bonan; Che, Yanqiu; Qin, Yingmei; Wang, Ruofan; Wang, Jiang

doi:10.1007/s11571-020-09650-1

Cited by 1 publication

(1 citation statement)

References 27 publications

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“…ey ignore unimportant details and only consider the specific ion channels or approximate morphological features that lead neurons to generate firing behaviors. ey help us understand many dynamic phenomena of neurons, such as spike firing [5], cluster firing [6], and firing frequency adaptability [7]. Two-dimensional differential equations can be studied intuitively and visually through the method of phase plane analysis, which can not only reproduce rich discharge modes but also meet the nonlinear characteristics of studying dynamic behavior [8].…”

Section: Introductionmentioning

confidence: 99%

Control of Hopf Bifurcation Type of a Neuron Model Using Washout Filter

Yuan

2021

Mathematical Problems in Engineering

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A quantitative mathematical model of neurons should not only include enough details to consider the dynamics of single neurons but also minimize the complexity of the model so that the model calculation is convenient. The two-dimensional Prescott model provides a good compromise between the authenticity and computational efficiency of a neuron. The dynamic characteristics of the Prescott model under external electrical stimulation are studied by combining analytical and numerical methods in this paper. Through the analysis of the equilibrium point distribution, the influence of model parameters and external stimulus on the dynamic characteristics is described. The occurrence conditions and the type of Hopf bifurcation in the Prescott model are analyzed, and the analytical determination formula of the Hopf bifurcation type in the neuron model is obtained. Washout filter control is used to change the Hopf bifurcation type, so that the subcritical Hopf bifurcation transforms to supercritical Hopf bifurcation, so as to realize the change of the dynamic characteristics of the model.

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Section: Introductionmentioning

confidence: 99%

Control of Hopf Bifurcation Type of a Neuron Model Using Washout Filter

Yuan

2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

Spike-sorting analysis of neural electrical signals evoked by acupuncture based on model

Cited by 1 publication

References 27 publications

Control of Hopf Bifurcation Type of a Neuron Model Using Washout Filter

Control of Hopf Bifurcation Type of a Neuron Model Using Washout Filter

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