On optimal delivery of combination therapy for tumors.
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.
d'Onofrio
Alberto
A
Department of Experimental Oncology, European Institute of Oncology, 20139 Milan, Italy. alberto.donofrio@ifom-ieo-campus.it
Ledzewicz
Urszula
U
Maurer
Helmut
H
Schättler
Heinz
H
D020533:Angiogenesis Inhibitors / Q000627:therapeutic use*; D000970:Antineoplastic Agents / Q000627:therapeutic use*; D004359:Drug Therapy, Combination; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000188:drug therapy*; D009716:Numerical Analysis, Computer-Assisted
D020533:Angiogenesis Inhibitors; D000970:Antineoplastic Agents