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