Nonlinear Dynamics

, Volume 95, Issue 2, pp 1585–1598 | Cite as

Model electrical activity of neuron under electric field

  • Jun MaEmail author
  • Ge Zhang
  • Tasawar Hayat
  • Guodong Ren
Original Paper


Continuous pump and transmission of charges such as calcium, potassium, sodium in the cell can induce time-varying electromagnetic field, and the induced electric field can further modulate the propagation of ions in the cell. Based on the physical laws of static electric field, the effect of electric field in isolate neuron is investigated by introducing additive variable E on the model. Each neuron is considered as a charged body with complex distribution of charges, and electric field is triggered to receive and give response to external electric field and electric stimulus. That is, the electric field is considered as a new variable to describe the polarization modulation of media resulting from external electric field and intrinsic change of density distribution in charges or ions. The dynamical behaviors in electrical activities are analyzed and discussed in the new neuron model, and it confirms that electric field can cause distinct mode transition in electrical activities of neuron exposed to different kinds of electric field. It could provide new insights to understand signal encoding and propagation in nervous system. Finally, it also suggests that new model can be used for signal propagation between neurons when synapse coupling is suppressed.


Neuron model setting Bursting Spiking Electric field Bifurcation 



This project is supported by National Natural Science Foundation of China under Grants No.11672122, 11765011.

Compliance with ethical standards

Conflicts of interest

The authors declare that they have no financial or non-financial competing interests and all of the authors agree to the publication of this paper.

Human and animal participants

This research do not involve any Human Participants and/or Animals.


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Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Department of PhysicsLanzhou University of TechnologyLanzhouChina
  2. 2.School of ScienceChongqing University of Posts and TelecommunicationsChongqingChina
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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