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MODELING OF NEURAL ACTION POTENTIAL IN THE ELECTRO-DIFFUSION REGIME
The dynamic of membrane potential and ionic concentrations control the transfer of transient electrical and chemical signals from one neuron to another by an action potential. In modelingneurons, it is generally assumed that the diffusion current in the governing equation for actionpotential generation, such as the well-known cable model, is too small to be worth taking intoaccount. The purpose of this study is to confirm that this assumption invalidates the Nernst-Planck equation, which is the basic flow of ions dynamic in computational neuron science.Moreover, previously completed studies either ignore drift flux or the studies ignore diffusionflux from the ions’ concentration calculation. Due to those neglect, the understanding of thedifferences in the results are unclear. In the first component of the study, and to reflect thecomplete dynamics of ions flow inside neuron cells in low stimulus current, the diffusion currentwas included in the governing equation for action potential generation in two studies. Also, inthe second component of the study, we compared the results by using the cable model with theconcentration governing equation of ions species including; drift flux only, diffusion flux only,and the Nernst-Planck equation.In conclusion, this study confirmed that that the diffusion current in the governing equation foraction potential can be a crucial factor, in determining the initiation of action potential generationin the dynamic equation of membrane potential. In addition, our model results showed that theneuron morphology, time duration of the stimulus current, and position of stimulus current at theaxon, can impact the prediction of the membrane potential. Also, the prediction of membranepotential showed distinguish results of membrane potential when the concentration governingequation of ions species was including; drift flux only, diffusion flux only, Nernst-Planckequation. More importantly, this study shows a new concept of research in predicting the actionpotential as the rheobase stimulus current is applied to simulate the action potential in an electro-diffusion model. Regarding the results of this study, more research can be done to establishgreater statistical power