Mathematical model of the single-fibre action potential

A mathematical model of the single-fiber extra- and intracellular action potential is proposed, whereby the transition from one to the other is given by an approximate analytical relationship. The model is given in both the time and the frequency domain, and has a simple mathematical form. Based on the new model, an analytical description of the transfer function of the muscle tissue is given. The proposed model compares favorably with previously published models and experimental results. The model allows a simple interpretation of the involved influence of the length and asymmetry of the transmembrane potential on the extracellular potential field. The proposed model should be helpful in the electrical modeling and simulation of neuromuscular activity.