Journal
MATHEMATICAL BIOSCIENCES
Volume 222, Issue 1, Pages 13-26Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.mbs.2009.08.004
Keywords
Combination therapy for tumors; Anti-angiogenesis; Chemotherapy; Mathematical model; Optimal control
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Funding
- European Union [026996]
- National Science Foundation [DMS 0707404, DMS 0707410]
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A mathematical model for the scheduling of angiogenic inhibitors in combination with a chemotherapeutic agent is formulated. Conditions are given that allow tumor eradication under constant infusion therapies. Then the optimal scheduling of a vessel disruptive agent in combination with a cytotoxic drug is considered as an optimal control problem. Both theoretical and numerical results on the structure of optimal controls are presented. (C) 2009 Elsevier Inc. All rights reserved.
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