A model study of the neural interaction via mutual coupling factor identification

In this paper, an extension of the Hodgkin-Huxley model has been presented to describe the interaction between the nerve fibres. Based on the equivalent electrical circuit, the conductance per unit area between two coupled axons has been introduced as the pairwise coupling factors. Based on the measurement of the membrane potential, these coupling factors can be estimated by linearised identification methods. Therefore, the axon-to-axon interaction can be characterized, which improves the accuracy of the models. Comparing with the simulation studies of the mechanistic model, the presented model is more convenient to be analyzed while the computational complexity has been reduced. Using the presented description, the simulation results indicate that the presented model and the analysis strategy are effective.