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Featured Research
John Burns - In this research we considered a parameter estimation problem for delay differential equations that are typical in the bioscience. The problem was motivated by a model of the dynamics of the intracellular development cycle of Chlamydia Trachomatis and can be formulated as an inverse problem for a system of retarded delay equations. My co-workers and I have derived the continuous sensitivity equations which are described by a system of neutral delay equations. We have shown that these equations are well-posed and used these sensitivities to compute gradients in the optimization loop for the parameter estimation problem. This research also provided new insight into how one might use continuous sensitivity equations in the design of experiments.Click here for more information.