Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments

  title={Bang-bang and singular controls in a mathematical model for combined anti-angiogenic and chemotherapy treatments},
  author={Urszula Ledzewicz and Helmut Maurer and Heinz Sch{\"a}ttler},
  journal={Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference},
A mathematical model for the scheduling of a combination of anti-angiogenic and chemotherapeutic agents is considered as a multi-input optimal control problem. Numerical results that are based on an explicit equation for a singular control confirm as optimal a structure of protocols that administer the anti-angiogenic agent according to the optimal monotherapy control and the cytotoxic agent at maximum dose at the end of therapy. 

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