Sensitivity Analysis of Interaction between the Left Ventricle and the Systemic Arteries
In an earlier work (Campbell et al. 1984) we proposed that a useful interpretation of interaction between the left ventricle (LV) and systemic arteries (SA) could come from couching the relationship between them in a block diagram form. Such a representation would emphasize the relationship between system components and the flow of information within the system. With the block diagram it was possible to refer to elementary linear system concepts, to understand how a change in LV/SA properties might affect LV/SA behavior. Predictions based on these elementary considerations were compared with more detailed calculations of sensitivities derived from mathematical models of the system, and there was general agreement between the predictions and the calculations. Even though the LV/SA system was nonlinear and time varying, the simple linear block diagram analysis was useful in generating insights and hypotheses about interactions within the system. We felt that this approach would prove fruitful in relating LV/SA interaction to other cardiovascular interactions as more and more aspects of the cardiovascular system were taken into account.
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