On the Observability of Hodgkin_Huxly Based Cell Models

Abstract

The concept of observability is useful in solving the problem of reconstructing immeasurable or hardly measurable state variables from (easily) measurable observations. Action potential is an observation which can be made easily from a cell while other state variables like ionic currents are difficult to measure. In this paper with the use of observability theory, we show that from dynamical systems point of view, Hodgkin_Huxly cell model is an observable system, i.e. if we consider action potential as an observable measurement, the other model’s state variables; n,h,m may be estimated at least in theory.