On optimal delivery of combination therapy for tumors

Math Biosci. 2009 Nov;222(1):13-26. doi: 10.1016/j.mbs.2009.08.004. Epub 2009 Aug 23.


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.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Angiogenesis Inhibitors / therapeutic use*
  • Antineoplastic Agents / therapeutic use*
  • Drug Therapy, Combination
  • Humans
  • Models, Biological*
  • Neoplasms / drug therapy*
  • Numerical Analysis, Computer-Assisted


  • Angiogenesis Inhibitors
  • Antineoplastic Agents