The global bifurcation structure and parameter sensitivity of a ventricular myocardial cell model

Abstract

The ventricular myocardial cell model which is described by Hodgkin-Huxley-type nonlinear differential equations, is very high-dimensional and has many parameters. Based on the analysis of the global bifurcation structures on these parameters, we clarify the parameter sensitivity and robustness of the model and discuss the drug sensitivity of heart cells. We also discuss the parameter estimation and model identification (model construction) if possible.