Singularity of Optimal Antiangiogenic Strategies - Exception or Rule

A. Swierniak and J. Smieja (Poland)


Drug delivery and pharmacokinetics, optimal control,dynamic systems, cancer.


Six models of antiangiogenic therapy are compared and analyzed taking into account properties of strategies obtained in the process of optimization of its protocols. All of them consist of a model of tumor growth bounded by the capacity of a vascular network developed by the tumor in the process of angiogenesis and different models of dynamics of this network and they are modifications of the model proposed by Hahnfeldt et al. We analyse optimal control problems resulted from their use and we demonstrate that for five of them the optimal control has no singular arcs.

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