论文信息 - A Synthesis of Optimal Controls for a Model of Tumor Growth under Angiogenic Inhibitors - 字舞流文

A Synthesis of Optimal Controls for a Model of Tumor Growth under Angiogenic Inhibitors

A mathematical model for the scheduling of angiogenic inhibitors to control a vascularized tumor is considered as an optimal control problem. A complete synthesis of optimal solutions is given.

H. Schättler | U. Ledzewicz

[1] L. Wein,et al. Optimal scheduling of radiotherapy and angiogenic inhibitors , 2003, Bulletin of mathematical biology.

[2] Héctor J. Sussmann,et al. Regular Synthesis and Sufficiency Conditions for Optimality , 2000, SIAM J. Control. Optim..

[3] P. Hahnfeldt,et al. Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy. , 1999, Cancer research.

[4] R. Kerbel. A cancer therapy resistant to resistance , 1997, Nature.

[5] Martin M. Eisen,et al. Mathematical Models in Cell Biology and Cancer Chemotherapy , 1979 .

[6] A. Krener. The High Order Maximal Principle and Its Application to Singular Extremals , 1977 .

[7] V. Boltyanskii. Sufficient Conditions for Optimality and the Justification of the Dynamic Programming Method , 1966 .

[8] M. L. Chambers. The Mathematical Theory of Optimal Processes , 1965 .

[9] E. Blum,et al. The Mathematical Theory of Optimal Processes. , 1963 .

[10] L. S. Pontryagin,et al. Mathematical Theory of Optimal Processes , 1962 .