A model for cancer chemotherapy with state-space constraints

• Type: Article in International Scientific Journal
• Date: 2005

Authors

Maria do Rosário de Pinho (Author) FEUP; Maria Margarida Ferreira (Author) FEUP; Urszula Ledzewicz (Author) Other; Heinz Schaettler (Author) Other

Journal

Title: Nonlinear Analysis : Theory, Methods & Applications

Vol. 63 No. 5

Pages: E2591-E2602

ISSN: 0362-546X

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 15 Citations

Scopus - 15 Citations

Scientific classification

FOS: Natural sciences > Mathematics

CORDIS: Technological sciences > Engineering > Control engineering

Other information

Authenticus ID: P-000-0E2

DOI: 10.1016/j.na.2005.02.004

Abstract (EN): The analysis of optimal control problems is significantly more difficult when state space constraints are imposed and thus in many modelling approaches explicit constraints are handled by including penalty terms in the objective. In this paper, we use the example of a simple model for cancer chemotherapy to compare the structure of extremals when upper limits on the total number of cancer cells are imposed (a) implicitly through a penalty term in the objective and (b) explicitly in the form of state-space constraints.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12