Mathematical Cardiovascular Model Pulsatility Contractility Left Ventricular Elastance
Bulgarian Academy of Sciences - National Committee for Mathematics
Mathematica Balkanica New Series, Vol. 24, Fasc 3-4 (2010), 229p-242p
In this study we investigated, modiﬁed and combined two existing mathematical cardiovascular models, a non-pulsatile global model and a simpliﬁed pulsatile left heart model. The ﬁrst goal of the study was to integrate these models. The main objective is to have a global lumped parameter pulsatile model that predicts the pressures in the systemic and pulmonary circulation, and speciﬁcally the pulsatile pressures in the the ﬁnger arteries where real-time measurements can be obtained. Modiﬁcations were made in the ventricular elastance to model the stiﬀness of heart muscles under stress or exercise state. The systemic aorta compartment is added to the combined model. A ﬁnger artery compartment is included to reﬂect measurements of pulsatile pressures. Parameters were estimated to simulate an average normal blood pressures. Preliminary simulation results are presented.