Comparison of six models of antiangiogenic therapy

• Autorzy: Andrzej Świerniak
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 49N90: Applications of optimal control and differential games
• 93C10: Nonlinear systems
• 93C95: Applications
• 92C50: Medical applications (general)
• 37N25: Dynamical systems in biology \SeeMainly{\SbjNo 92-XX, but also \SbjNo 91-XX}

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 3
• Strony: 333-348

Daty

wydano

2009

Twórcy

autor

Andrzej Świerniak

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

Identyfikatory

DOI

10.4064/am36-3-6