Analysis of electrical activities in a functional neuron with dual memristors

IF 1.9 4区 数学 Q2 BIOLOGY Journal of Theoretical Biology Pub Date : 2024-12-18 DOI:10.1016/j.jtbi.2024.112034
Xinlin Song , Feifei Yang
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Abstract

Neuron as a charged body, it is easily disturbed by the external electromagnetic field, which changes the electrical activities of the neurons. In fact, the interference of external electric or magnetic field is the process of energy injection of neurons, the injection of energy will redistribute the field energy inside the neurons, and the redistribution of energy will change the electrical activities of the neurons. Therefore, we design a neuron model with double memristors to explore the external electromagnetic field on the regulation of neural electrical activity. The dimensionless equations of the model with double memristors and its energy function are obtained based on the Kirchhoff’s and the Helmholtz’s theorems. The electrical activities of the neuron model under the external electromagnetic field distribution are researched by applying the nonlinear analysis methods, and the coherence resonance of the neuron is explored under the external noise electromagnetic field. The results indicate that the electrical activities of the model are controlled by the external electromagnetic field. This neuron model can be used to study the synchronization between magnetic field coupled or electric field coupled neurons.
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双忆阻器功能神经元的电活动分析。
神经元作为带电体,容易受到外界电磁场的干扰,从而改变神经元的电活动。实际上,外界电场或磁场的干扰是神经元能量注入的过程,能量的注入会将神经元内部的场能量重新分配,能量的重新分配会改变神经元的电活动。为此,我们设计了一种双忆阻器神经元模型,探索外加电磁场对神经电活动的调节作用。基于基尔霍夫定理和亥姆霍兹定理,得到了双忆阻器模型的无因次方程及其能量函数。应用非线性分析方法研究了外加电磁场分布下神经元模型的电活动,探讨了外加噪声电磁场下神经元的相干共振。结果表明,模型的电活动受外加电磁场的控制。该神经元模型可用于研究磁场耦合或电场耦合神经元之间的同步。
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来源期刊
CiteScore
4.20
自引率
5.00%
发文量
218
审稿时长
51 days
期刊介绍: The Journal of Theoretical Biology is the leading forum for theoretical perspectives that give insight into biological processes. It covers a very wide range of topics and is of interest to biologists in many areas of research, including: • Brain and Neuroscience • Cancer Growth and Treatment • Cell Biology • Developmental Biology • Ecology • Evolution • Immunology, • Infectious and non-infectious Diseases, • Mathematical, Computational, Biophysical and Statistical Modeling • Microbiology, Molecular Biology, and Biochemistry • Networks and Complex Systems • Physiology • Pharmacodynamics • Animal Behavior and Game Theory Acceptable papers are those that bear significant importance on the biology per se being presented, and not on the mathematical analysis. Papers that include some data or experimental material bearing on theory will be considered, including those that contain comparative study, statistical data analysis, mathematical proof, computer simulations, experiments, field observations, or even philosophical arguments, which are all methods to support or reject theoretical ideas. However, there should be a concerted effort to make papers intelligible to biologists in the chosen field.
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