Optimal solutions for a model of tumor anti-angiogenesis with a penalty on the cost of treatment

• Autorzy: Urszula Ledzewicz , Vignon Oussa , Heinz Schättler
• Języki publikacji: EN

Abstrakty

EN

The scheduling of angiogenic inhibitors to control a vascularized tumor is analyzed as an optimal control problem for a mathematical model that was developed and biologically validated by Hahnfeldt et al. [Cancer Res. 59 (1999)]. Two formulations of the problem are considered. In the first one the primary tumor volume is minimized for a given amount of angiogenic inhibitors to be administered, while a balance between tumor reduction and the total amount of angiogenic inhibitors given is minimized in the second formulation. The optimal solutions to both problems are presented and compared.

Kategorie tematyczne

• 49J15: Optimal control problems involving ordinary differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2009
• Tom: 36
• Numer: 3
• Strony: 295-312

Daty

wydano

2009

Twórcy

autor

Urszula Ledzewicz

• Department of Mathematics and Statistics, Southern Illinois University at Edwardsville, Edwardsville, IL 62026-1653, U.S.A.

autor

Vignon Oussa

• Department of Mathematics and Statistics, Southern Illinois University at Edwardsville, Edwardsville, IL 62026-1653, U.S.A.

autor

Heinz Schättler

• Department of Electrical, and Systems Engineering, Washington University, St. Louis, MO 63130-4899, U.S.A.

Identyfikatory

DOI

10.4064/am36-3-4