中国物理B ›› 2015, Vol. 24 ›› Issue (12): 128710-128710.doi: 10.1088/1674-1056/24/12/128710

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

Energy dependence on the electric activities of a neuron

宋欣林a, 靳伍银b, 马军a   

  1. a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;
    b College of Mechano-Electronic Engineering, University of Technology, Lanzhou 730050, China
  • 收稿日期:2015-06-25 修回日期:2015-07-26 出版日期:2015-12-05 发布日期:2015-12-05
  • 通讯作者: Ma Jun E-mail:hyperchaos@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11372122 and 11365014).

Energy dependence on the electric activities of a neuron

Song Xin-Lin (宋欣林)a, Jin Wu-Yin (靳伍银)b, Ma Jun (马军)a   

  1. a Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China;
    b College of Mechano-Electronic Engineering, University of Technology, Lanzhou 730050, China
  • Received:2015-06-25 Revised:2015-07-26 Online:2015-12-05 Published:2015-12-05
  • Contact: Ma Jun E-mail:hyperchaos@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11372122 and 11365014).

摘要: A nonlinear circuit can be designed by using inductor, resistor, capacitor and other electric devices, and the electromagnetic field energy can be released from the circuit in the oscillating state. The generation of spikes or bursting states in neurons could be energetically a costly process. Based on the Helmholtz's theorem, a Hamilton energy function is defined to detect the energy shift induced by transition of electric modes in a Hindmarsh-Rose neuron. It is found that the energy storage is dependent on the external forcing, and energy release is associated with the electric mode. As a result, the bursting state and chaotic state could be helpful to release the energy in the neuron quickly.

关键词: Hindmarsh-Rose neuron, Helmholtz', s theorem, energy, bursting

Abstract: A nonlinear circuit can be designed by using inductor, resistor, capacitor and other electric devices, and the electromagnetic field energy can be released from the circuit in the oscillating state. The generation of spikes or bursting states in neurons could be energetically a costly process. Based on the Helmholtz's theorem, a Hamilton energy function is defined to detect the energy shift induced by transition of electric modes in a Hindmarsh-Rose neuron. It is found that the energy storage is dependent on the external forcing, and energy release is associated with the electric mode. As a result, the bursting state and chaotic state could be helpful to release the energy in the neuron quickly.

Key words: Hindmarsh-Rose neuron, Helmholtz's theorem, energy, bursting

中图分类号:  (Neuronal wave propagation)

  • 87.19.lq
87.18.Hf (Spatiotemporal pattern formation in cellular populations) 05.45.-a (Nonlinear dynamics and chaos)