Energy dependence on the electric activities of a neuron

doi:10.1088/1674-1056/24/12/128710

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.

Keywords: Hindmarsh-Rose neuron Helmholtz's theorem energy bursting

Received: 25 June 2015
Revised: 26 July 2015
Accepted manuscript online:

PACS:	87.19.lq	(Neuronal wave propagation)
	87.18.Hf	(Spatiotemporal pattern formation in cellular populations)
	05.45.-a	(Nonlinear dynamics and chaos)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11372122 and 11365014).

Corresponding Authors: Ma Jun
E-mail: hyperchaos@163.com

Cite this article:

Song Xin-Lin (宋欣林), Jin Wu-Yin (靳伍银), Ma Jun (马军) Energy dependence on the electric activities of a neuron 2015 Chin. Phys. B 24 128710

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