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On the Role of the Objective in the Optimization of Compartmental Models for Biomedical Therapies
Urszula Ledzewicz1,2, Heinz Schättler3
1Lodz University of Technology, 90-924 Lodz, Poland.
Abstract:
We review and discuss results obtained through an application of tools of nonlinear optimal control to biomedical problems. We discuss various aspects of the modeling of the dynamics (such as growth and interaction terms), modeling of treatment (including pharmacometrics of the drugs), and give special attention to the choice of the objective functional to be minimized. Indeed, many properties of optimal solutions are predestined by this choice which often is only made casually using some simple ad hoc heuristics. We discuss means to improve this choice by taking into account the underlying biology of the problem.
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