Matlab/Simulink Based Comparative Analysis of the Effect of Ion Concentration on Action Potantial by Using Hodgkin-Huxley and Morris-Lecar Neuron Models

Abstract

In pharmacological experiments, the effect of ion concentrations on Action potential (AP) and its association with important neurological disorders such as stroke, epilepsy and depression has been investigated. In this paper, Hodgkin-Huxley (HH) and Morris-Lecar (ML) membrane models, which have contributed to the literature of theoretical neural science, have been studied. In the first step, these two models have been simulated individually in Simulink environment using Matlab software. In the second step, the ratio of the amount of extracellular ion to the amount of intracellular ion was expressed as Hd/HI. Based on Na+ and K+ as ions, the effect of Hd/HI ratio change on AP signal was investigated based on HH and ML as a model. In the HH model, it was searched that the Hd/HI change due to sodium ions influenced the amplitude of AP and the depolarization phase. The change in Hd/HI ratio due to potassium ion concentrations was found to affect the threshold and hyper-polarization phase of AP. In the ML membrane model, it was observed that the change in Hd/HI ratio due to intracellular and extracellular Ca+2 and K+ ion concentrations affected the formation time of AP, firing time, amplitude and formation phases. HH and ML models showed similarity in the same parameters.