Comparison of six models of antiangiogenic therapy

Volume 36 / 2009

Andrzej Świerniak Applicationes Mathematicae 36 (2009), 333-348 MSC: 93C10, 92C50, 49N90, 93C95, 37N25. DOI: 10.4064/am36-3-6


Six models of antiangiogenic therapy are compared and analyzed from control-theoretic point of view. 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 are based on the idea proposed by Hahnfeldt et al. Moreover, we analyse optimal control problems resulting from their use in treatment protocol design.


  • Andrzej ŚwierniakInstitute of Automatic Control
    Silesian University of Technology
    Akademicka 16
    44-100 Gliwice, Poland

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