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On optimal delivery of combination therapy for tumors |
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| Authors: | Alberto d&rsquo Onofrio,Helmut Maurer |
| Affiliation: | a Department of Experimental Oncology, European Institute of Oncology, 20139 Milan, Italy b Department of Mathematics and Statistics, Southern Illinois University - Edwardsville, Edwardsville, IL 62026-1653, USA c Institut für Numerische und Angewandte Mathematik, Westfälische Wilhelms Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany d Department of Electrical and Systems Engineering, Washington University, St. Louis, MO 63130-4899, USA |
| Abstract: | 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. |
| Keywords: | Combination therapy for tumors Anti-angiogenesis Chemotherapy Mathematical model Optimal control |
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