A Study on Dynamic Characteristics of the Hippocampal Two-Dimension Reduced Neuron Model under Current Conductance Changes

2013 ◽  
pp. 74-82
Author(s):  
Yueping Peng ◽  
Xinxu Wang ◽  
Xiaohua Qiu
Keyword(s):  
Dynamic Characteristics ◽  
Neuron Model ◽  
Two Dimension ◽  
Conductance Changes ◽  
Current Conductance

Study on Dynamic Characteristics of the Hippocampal Neuron under Current Conductance's Changing

2012 ◽  
Vol 195-196 ◽  
pp. 868-873 ◽  
Author(s):  
Yue Ping Peng ◽  
Nan Zou ◽  
Hai Ying Wu
Keyword(s):  
Dynamic Characteristics ◽  
Formation Process ◽  
Hippocampal Neuron ◽  
Neuron Model ◽  
Discharge Process ◽  
Straight Line ◽  
Hippocampal Ca1 ◽  
Discharge Patterns ◽  
Neural Diseases ◽  
Maximum Conductance

The hippocampal CA1 pyramid neuron has plenty of discharge actions. In the thesis, the dynamic characteristics of the hippocampal neuron model are analyzed and discussed by the neurodynamic theory and methods. Under a certain amplitude currents stimulation, the change of (the maximum conductance of the transient sodium channel) and (the maximum conductance of the delay rectification potassium channel) can cause different dynamic characteristics of the neuron model. The transient Na+current () caused by is indispensable in the discharges formation process of the model. The model can generate the discharge process only when reaches a certain threshold. In the discharge process of the neuron model,s changing affects little and the ISIs approximate to a straight line. The delay rectification K+current () caused by isnt indispensable in the discharges formation process of the model. Buts changing affects much in the discharge process of the neuron model. Withs changing, the neuron model undergoes different dynamic bifurcation process, and has plenty of discharge patterns such as the chaos, period, and so on. This investigation is helpful to know and investigate deeply the dynamic characteristics and the bifurcation mechanism of the hippocampal neuron; and it provides a certain theory assist to investigate the neural diseases such as the Alzheimer disease by neurodynamics.

scholarly journals Bifurcation Analysis of a Two-Dimensional Neuron Model under Electrical Stimulation

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Chunhua Yuan ◽  
Xiangyu Li
Keyword(s):  
Electrical Stimulation ◽  
Hopf Bifurcation ◽  
Dynamic Characteristics ◽  
Neuron Model ◽  
Equilibrium Points ◽  
Model Parameters ◽  
Two Dimensional ◽  
Saddle Node Bifurcation ◽  
Saddle Node ◽  
Firing Characteristics

The two-dimensional neuron model can not only reproduce abundant firing patterns, but also satisfy the research of dynamical behavior because of its nonlinear characteristics. It is the most simplified model that includes the fast and slow variables required for neuron firing. In this paper, the dynamic characteristics of two-dimensional neuron model are described by both analytical and numerical methods, and the influence of model parameters and external stimuli on dynamic characteristics is described. The firing characteristics of the Prescott model under external electrical stimulation are studied, and the influence of electrophysiological parameters on the firing characteristics is analyzed. The saddle-node bifurcation and Hopf bifurcation characteristics are studied through the distribution of equilibrium points. It is found that there are critical saddle-node bifurcation and critical Hopf bifurcation in the Prescott model. And the value range of the key parameters that cause the critical bifurcation of the model is obtained by analytical methods.

Study on Bioinformatics with Dynamic Characteristics Change of the Hippocampal Neuron Model Caused by the Alzheimer Disease

2013 ◽  
Vol 475-476 ◽  
pp. 1592-1598
Author(s):  
Yue Ping Peng ◽  
Jue Wang ◽  
Chong Xun Zheng
Keyword(s):  
Alzheimer Disease ◽  
Dynamic Characteristics ◽  
Hippocampal Neuron ◽  
Neuron Model ◽  
Interspike Intervals ◽  
Neuron Models ◽  
Dynamic Variation ◽  
Before And After ◽  
Variation Characteristics ◽  
Discharge Patterns

In the paper, based on the electrophysiological experimental dada, the neuron model under the pathology condition of Alzheimer Disease (AD) is built. The neuron models dynamic variation characteristics before and after the effect of AD are comparatively studied. Under the currents stimulation, compared with the normal neuron model, the AD neuron models dynamic characteristics have been obviously changed. Its changing range of the membranes interspike intervals (ISIs) obviously narrows, and the discharge patterns change rather single. In addition, its discharge threshold is much higher than the normal neuron models. So AD causes the neuron models excitability to depress markedly. The research reveals the neuron models dynamic characteristics changing under the effect of AD, which shows bioinformatics change of the neuron caused by AD. The research provides some theoretic basis for AD research by the neurodynamics theory.

scholarly journals Dynamic characteristics of a simple bursting neuron model

2012 ◽  
Vol 3 (3) ◽  
pp. 436-456 ◽  
Author(s):  
Koji Nakajima ◽  
Shigeo Sato ◽  
Yoshihiro Hayakawa
Keyword(s):  
Dynamic Characteristics ◽  
Neuron Model ◽  
Bursting Neuron

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

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Chunhua Yuan ◽  
Xiangyu Li
Keyword(s):  
Hopf Bifurcation ◽  
Dynamic Characteristics ◽  
Neuron Model ◽  
Analytical Determination ◽  
Model Parameters ◽  
Two Dimensional ◽  
Single Neurons ◽  
Point Distribution ◽  
Subcritical Hopf Bifurcation ◽  
Washout Filter

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.

Study on Dynamic Characteristics of the Hippocampal Neuron under Current Stimulation

2011 ◽  
Vol 341-342 ◽  
pp. 350-354 ◽  
Author(s):  
Yue Ping Peng
Keyword(s):  
Dynamic Characteristics ◽  
Hippocampal Neuron ◽  
Neuron Model ◽  
Neural Excitability ◽  
Hippocampal Ca1 ◽  
Changing Trend ◽  
Discharge Patterns ◽  
Stimulation Current ◽  
Neural Diseases ◽  
Stimulation Amplitude

The hippocampal CA1 pyramid neuron has plenty of discharge actions. In the thesis, the dynamic characteristics of the hippocampal neuron model are analyzed and discussed by the neurodynamic theory and methods. Under the current stimulation, the hippocampal CA1 pyramid neuron has plenty of discharge patterns, and can generate many discharge patterns such as period, the chaos, and so on. Under the stimulation current amplitude unchanging, the dynamic characteristics of the hippocampal neuron have something to do with not only the current’s stimulation amplitude, but also the stimulation time’s length, which isn’t the same with common neurons such as the Hindmarsh-Rose neuron. When the stimulation amplitude increases gradually or the stimulation time prolongs, The neuron model’s ISI gradually drops off, whose changing trend approximates to an exponential function, that is to say, the discharge frequency gets quicker and quicker. In addition, the hippocampal CA1 pyramid neuron model has class II neural excitability. This investigation is helpful to know and investigate deeply the dynamic characteristics and the bifurcation mechanism of the hippocampal neuron; and it provides a certain theory assist to investigate the neural diseases such as the Alzheimer disease by neurodynamics.

Invited PaperTemperature dependence of SiGe HBT static and dynamic characteristics

1998 ◽  
Vol 08 (PR3) ◽  
pp. Pr3-81-Pr3-86
Author(s):  
F. Aniel ◽  
N. Zerounian ◽  
A. Gruhle ◽  
C. Mähner ◽  
G. Vernet ◽  
...  
Keyword(s):  
Dynamic Characteristics ◽  
Static And Dynamic Characteristics ◽  
Sige Hbt
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