Three-element model for total systemic circulation: emphasis on the accuracy of parameter estimates

A forward model-based validation of cardiovascular system identification

We present a theoretical evaluation of a cardiovascular system identification method that we previously developed for the analysis of beat-to-beat fluctuations in noninvasively measured heart rate, arterial blood pressure, and instantaneous lung volume. The method provides a dynamical characterization of the important autonomic and mechanical mechanisms responsible for coupling the fluctuations (inverse modeling). To carry out the evaluation, we developed a computational model of the cardiovascular system capable of generating realistic beat-to-beat variability (forward modeling). We applied the method to data generated from the forward model and compared the resulting estimated dynamics with the actual dynamics of the forward model, which were either precisely known or easily determined. We found that the estimated dynamics corresponded to the actual dynamics and that this correspondence was robust to forward model uncertainty. We also demonstrated the sensitivity of the method in detecting small changes in parameters characterizing autonomic function in the forward model. These results provide confidence in the performance of the cardiovascular system identification method when applied to experimental data.

The coronary bed and its role in the cardiovascular system: a review and an introductory single-branch model

To investigate cardiovascular haemodynamics under normal and pathological conditions, a closed-loop model of the cardiovascular system already presented in the literature, has been complemented by a model of the coronary bed. Oxygen available to the myocardium is strictly related to the coronary blood flow; we have developed threshold criteria which correlate cardiac output with the coronary flow. The system utilizes control systems related to the cardiac contractility and frequency, and imitates feedback mechanisms peculiar to the heart. The work exemplifies the autoregulation of events that occur when the equilibrium of the system is disturbed. It is suggested that the heart plays an active role in trying to restore the haemodynamic parameters to their physiological values.

Sensitivity analysis of the systemic circulation with a view to computer simulation and parameter estimation

A sensitivity analysis study has been performed on a seven-parameter model of the systemic vascular bed in order to obtain structure reductions appropriate for simulation and estimation. This analysis considers separately the systolic and diastolic transfer functions between arterial and venous pressures in order to divide a non-linear problem in two distinct linear problems. The results obtained refer to nominal parameter values corresponding to normal circulatory conditions in man and supply guide-lines for an application-oriented selection of reduced models. Simple resistance-compliance models are preferred because the inertial effects appear to have only slight influence. In particular, the choice of a five-parameter model seems to be convenient for simulation purposes. An additional structure reduction is suggested to reach reliable results in parameter estimation problems. The resulting model is characterized by three elements: peripheral resistance, arterial compliance and venous compliance.