Energy Dependence of Modified Hindmarsh-Rose Neuron under Periodic Disturbance

Abstract

Due to the complex environment which neurons are located in, Hindmarsh-Rose neuron model is modified by introducing a new variable and linear coupling. Via numerical simulations, multiple modes of electric activities of the addressed neuron model can be observed by changing external forcing current. To explore the energy transition between different electric activity modes, Hamilton energy is calculated when the proposed neuron is disturbed by periodic signal. It is found that the energy is closely dependent on the electric activity mode caused by external forcing current. An interesting phenomenon is also obtained that the Hamilton energy is delayed by external forcing current, which means that the neuron plays an important role in energy coding.