兰州理工大学学报 ›› 2026, Vol. 52 ›› Issue (2): 165-172.

• 数理科学 • 上一篇    

功能神经元与神经元电路的能量动力学

马军*   

  1. 兰州理工大学 理学院, 甘肃 兰州 730050
  • 收稿日期:2026-03-24 出版日期:2026-04-28 发布日期:2026-04-28
  • 通讯作者: 马 军(1973-),男,陕西杨陵人,博士,教授,博导. Email:hyperchaos@lut.edu.cn
  • 基金资助:
    国家自然科学基金(12072139)

Energy dynamics in functional neurons and neural circuits

MA Jun   

  1. School of Science, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2026-03-24 Online:2026-04-28 Published:2026-04-28

摘要: 生物神经元的电活动呈现多样性和复杂性,可靠的神经元模型对预测神经元电活动模态和能量变化规律非常关键.神经元建模过程中需考虑其膜结构、各类离子通道的关联性和可控性、电活动过程的电磁场效应以及功能化感知过程的物理表达问题.生物神经元的静息态以及各类放电过程中都蕴藏着内在电磁场能量,其内在的电场能量和磁场能量转换影响着神经元放电模态和稳定性.考虑生物神经元的基本物理属性和特征,构建等效的神经元电路可以有效表达神经元电活动的主要特征和功能性响应,进一步预测随机性激励或电磁辐射下神经元电活动的随机共振.从物理角度给出了神经元建模和电路表达过程中能量表征方法,标度变换准则,神经元电活动中电磁感应的量化表达,离子通道分流控制及能量调控神经元电活动策略,对计算神经科学和神经元电路应用控制有重要参考.

关键词: 神经元电路, 忆阻器, 神经元, 哈密顿能量, 随机共振

Abstract: Electrical activities in biological neurons show complexity and diversity, and establishing reliable neuron models is crucial for predicting mode transition in neural activities and energy shift in neurons. Modeling of neurons should consider the membrane structure, correlation and controllability in different ion channels, the effect of electromagnetic induction during electrical activities, and physical expression of functional perceptual processes. The resting state and various discharge processes of biological neurons contain inherent electromagnetic field energy, and the energy conversion of internal electric and magnetic field affects the discharge mode and stability of neurons. Considering the basic physical properties and characteristics of biological neurons, constructing equivalent neural circuits can effectively express the main features and functional responses of neuronal electrical activity, and further predict the stochastic resonance of neuronal electrical activity under random excitation or electromagnetic radiation. This article provides energy characterization methods, scaling transformation criteria, quantitative expression of electromagnetic induction in neuronal electrical activity, ion channel diversion control, and energy regulation strategies for neuronal electrical activity in the process of neural modeling and circuit expression from a physical perspective. It has important references for computational neuroscience and neural circuit application control.

Key words: neural circuit, memristor, neuron, Hamilton energy, stochastic resonance

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