Estimation of internal variables from Hodgkin-Huxley neuron voltage

Abstract

This paper presents a novel approach to estimate internal variables such as gating variables, potassium, sodium and chloride concentrations from the knowledge of voltage of a neuron. This approach is based on the Hodgkin-Huxley neuron dynamics and basic ideas behind a Luenberger observer, and utilizes the full nonlinear dynamics. Results from numerical simulations are presented.