Identifiability analysis and parameter estimation of a single Hodgkin-Huxley type voltage dependent ion channel under voltage step measurement conditions

Authors:
Dávid Csercsik;Katalin M. Hangos;Gábor Szederkényi
Affiliations:
Process Control Research Group, Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1518, P.O. Box 63, Budapest, Hungary;Process Control Research Group, Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1518, P.O. Box 63, Budapest, Hungary and Department of Electrical Engineering and Infor ...;Process Control Research Group, Computer and Automation Research Institute, Hungarian Academy of Sciences, H-1518, P.O. Box 63, Budapest, Hungary and Faculty of Information Technology, Pázm&# ...
Venue:
Neurocomputing
Year:
2012

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Abstract

Identifiability analysis of a single Hodgkin-Huxley (HH) type voltage dependent ion channel model under voltage clamp circumstances is performed in order to decide if one can uniquely determine the model parameters from measured data in this simple case. It is shown that the two steady-state parameters (m"~, h"~) and the conductance (g) are not globally identifiable together using a single step voltage input. Moreover, no pair from these three parameters is identifiable. Based on the results of the identifiability analysis, a novel optimization-based identification method is proposed and demonstrated on in silico data. The proposed method is based on the decomposition of the parameter estimation problem into two parts using multiple voltage step traces. The results of the article are used to formulate explicit criteria for the design of voltage clamp protocols.