Lumped model of terminal aortic impedance in the dog.

The aim of this study was the formulation of a minimal lumped model of the aortic impedance as seen in the abdominal aorta just downstream of the origin of renal arteries. At this location simultaneous measurements of pressure and flow were taken in four anesthetized and open-chest dogs (weight, 30.9 +/- 5.8 kg) under basal, vasodilated (sodium nitroprusside) and vasoconstricted (methoxamine) conditions. Using these measurements we identified and compared three lumped models, A, B, and C, with decreasing complexity from A to C. The frequency response of these models was given the general form of peripheral resistance, Rp, multiplied by the ratio between (a) two zeros and two poles (model A); (b) two zeros and one pole (model B); and (c) one zero and one pole (model C). Rp was calculated as the ratio of mean pressure to mean flow. The other model parameters (time constants, damping factors, and natural frequencies) were estimated by minimizing the sum of squared differences between experimental and model generated pulsatile flows. After parameter estimation, the F-test was applied to compare the goodness of data fit obtained from the three models. Results of this test and the analysis of parameter estimation errors indicated that model B was preferable with respect to models A and C. The analysis of general model performance was followed by a consideration of alternative specific model structures that are physically realizable. With the aid of a determined model structure we evaluated the overall compliance of terminal aortic circulation under a variety of vascular states induced by injection of vasoactive agents.