On optimal delivery of combination therapy for tumors

Alberto d'Onofrio, Urszula Ledzewicz, Helmut Maurer, Heinz Schättler

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)13-26
Number of pages14
JournalMathematical Biosciences
Issue number1
Publication statusPublished - Nov 2009


  • Anti-angiogenesis
  • Chemotherapy
  • Combination therapy for tumors
  • Mathematical model
  • Optimal control

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Applied Mathematics
  • Modelling and Simulation
  • Statistics and Probability
  • Medicine(all)


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