17th International Symposium on
Mathematical Theory of Networks and Systems
Kyoto International Conference Hall, Kyoto, Japan, July 24-28, 2006

MTNS 2006 Paper Abstract

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Paper MoP11.4

Ledzewicz, Urszula (Southern Illinois Univ.), Schaettler, Heinz (Washington Univ.)

Application of Optimal Control to a System Describing Tumor Anti-Angiogenesis

Scheduled for presentation during the Mini-Symposium "Recent Developments in Optimal Control: Theory and Applications" (MoP11), Monday, July 24, 2006, 16:35−17:00, Room 104a

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on March 28, 2024

Keywords Optimal control, Medical applications, Control of nonlinear systems

Abstract

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 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.