An optimal control approach to cancer treatment under immunological activity

• Autorzy: Urszula Ledzewicz , Mohammad Naghnaeian , Heinz Schättler
• Języki publikacji: EN

Abstrakty

EN

Mathematical models for cancer treatment that include immunological activity are considered as an optimal control problem with an objective that is motivated by a separatrix of the uncontrolled system. For various growth models on the cancer cells the existence and optimality of singular controls is investigated. For a Gompertzian growth function a synthesis of controls that move the state into the region of attraction of a benign equilibrium point is developed.

Kategorie tematyczne

• 92C50: Medical applications (general)
• 49K15: Problems involving ordinary differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2011
• Tom: 38
• Numer: 1
• Strony: 17-31

Daty

wydano

2011

Twórcy

autor

Urszula Ledzewicz

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

autor

Mohammad Naghnaeian

• 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/am38-1-2