Computational Mathematics and Scientific Computing Seminar

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Pharmaceutical companies commonly use ordinary and delay differential equations to analyze pharmacokinetic and pharmacodynamic data. Recently, new models which make use of distributed delays have been proposed. However, their numerical integration is quite a challenging task. There exist efficient codes for the numerical treatment of stiff and differential-algebraic problems (e.g., Radau5), as well as in the case where these equations present discrete delays (e.g., Radar5), but such codes are not able to treat distributed delays. This talk aims to present a method that permits a direct application of the mentioned codes to a class of problems having a right-hand side with distributed delay terms (a special kind of integro differential equations). As an illustrative example, it will be considered a model for chemotherapy-induced myelosuppression.