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 d...

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Veröffentlicht in:	Mathematical biosciences 2009-11, Vol.222 (1), p.13-26
Hauptverfasser:	d’Onofrio, Alberto, Ledzewicz, Urszula, Maurer, Helmut, Schättler, Heinz
Format:	Artikel
Sprache:	eng
Schlagworte:	Angiogenesis Inhibitors - therapeutic use Anti-angiogenesis Antineoplastic Agents - therapeutic use Chemotherapy Combination therapy for tumors Drug Therapy, Combination Humans Mathematical model Models, Biological Neoplasms - drug therapy Numerical Analysis, Computer-Assisted Optimal control
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Zusammenfassung:	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.
ISSN:	0025-5564 1879-3134
DOI:	10.1016/j.mbs.2009.08.004