Application of Optimal Control to a System Describing Tumor Anti-Angiogenesis
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چکیده
We describe the structure of optimal trajectories for a mathematical model for minimizing the tumor volume under anti-angiogenic treatment. The model under consideration was developed by Hahnfeldt, Panigrahy, Folkman and Hlatky in [6] and has an optimal singular arc that determines the form of optimal protocols. The most typical scenario of optimal controls is given by first giving full dose treatment until the system reaches the singular arc, then follow the singular arc until all available inhibitors have been exhausted with a final uncontrolled segment along which the tumor volume attains its minimum. Keywords— optimal control, mathematical models for cancer treatments, anti-angiogenic therapy
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تاریخ انتشار 2006