A two-stage sequential Prony-Marquardt technique successfully determines parameters of a modified Windkessel model to characterize the hemodynamic properties of the left ventricle and systemic load.
An identification scheme is developed for the determination of several parameters of a modified "Windkessel" model of the systemic arterial system for an individual patient undergoing cardiac catheterization. The scheme utilizes a modification of the Prony method 10, 11 as a "starter method" to determine good nominal values for the model parameters being varied. These values then serve as input to a well-known iterative nonlinear least-squares identification method (Marquardt method 14) which then converges rapidly to frmal values of the parameters. Solution of the model equations with these parameter values yields the best fit in a least-squares sense of model-generated and observed aortic and brachial artery pressures. This two stage or sequential Prony-Marquardt technique represents an extension of our previous work associated with the analysis of multiexponential decay curves 18, and is applied here to the identification of parameters associated with the humam arterial system. When coupled with a method of determining the contractile mechanics of the left ventricle (eg., the ventricular elastance concept l-5), this identification scheme permits a functional characterization of the hemodynamic properties of the left ventricle and its systemic load, for an individual subject.
Clark et al. (Tue,) conducted a other in Patients undergoing cardiac catheterization. Two-stage sequential Prony-Marquardt technique was evaluated on Best fit of model-generated and observed aortic and brachial artery pressures. A two-stage sequential Prony-Marquardt technique successfully determines parameters of a modified Windkessel model to characterize the hemodynamic properties of the left ventricle and systemic load.
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