Modeling of the Effect of Dilated Cardiomyopathy on the Behavior of the Heart

Abstract

In this study, a nonlinear time-varying lumped parameter mathematical model of left sided heart failure had been proposed. One of the causes of systolic heart failure is Dilated Cardiomyopathy, was studied. Many tries were done to know the appropriate parameters in the model to express Dilated Cardiomyopathy as a case of heart failure. Ventricular elastance was found to be the most suitable parameter to present Dilated Cardiomyopathy. Mathematical equations for the change of heart rate and left ventricular pressure with time with decreasing ventricular elastance were concluded. The effects of Dilated Cardiomyopathy on heart rate, left ventricular pressure-volume loop (P-V loop), left ventricular pressure, stroke volume and ejection fraction were modeled.