A novel method for computing the derivatives of the mean and amplitude of physiological variables with respect to the parameters of a cardiovascular system model

摘要

While studying the cardiovascular system (CVS), it is frequent that only the mean andamplitude of physiological variables (pressures and volumes) are available. Computing thederivative of this discrete data with respect to the parameters of a CVS model is a necessarystep to identify these parameters. Currently, such derivatives are computed through forwarddifference approximations, hence requiring two model simulations per derivative. In thiswork, we develop a method aiming to compute the derivatives along with the modelsimulation.