A simplified neuron model is introduced to mimic the action potential generated by the famous Hodgkin-Huxley equations by using the genetic optimization algorithm. Comparison with different neuron models is investigated, and it is confirmed that the sodium and potassium channels in our simplified neuron model are made out of memristors. In addition, the channel equations in the simplified model may be adjusted to introduce a simplified memristor model that is in accordance with the theoretical conditions of the memristive systems. © 2015 World Scientific Publishing Company.
Hegab A.M., Salem N.M., Radwan A.G., Chua L.
action potential; Hodgkin and Huxley equations; memristor; Neuron model
International Journal of Bifurcation and Chaos, Vol. 25, Art. No. 1530017, Doi: 10.1142/S0218127415300177