The Simultaneous Estimation of the Trend Input Current and the Model Parameters in Hodgkin-Huxley model

Abstract

Hodgkin-Huxley model for nervous signal transmission is known as multi-variable strongly non-linear model. We consider Hodgkin Huxley model as the stochastic process to estimate the state variables and the model parameters from the measurement data with noise. We discretize the model using the local linearization method and apply Kalman filter to this model. So that the trend input current and the model parameters are estimated simultaneously utilizing the maximum likelihood method.