Chemotherapy for tumors: an analysis of the dynamics and a study of quadratic and linear optimal controls.
作者： L.G. de Pillis , W. Gu , K.R. Fister , T. Head , K. Maples
DOI: 10.1016/J.MBS.2006.05.003
关键词:
摘要: … model of tumor–immune interactions with chemotherapy, and strategies for optimally administering … We establish the existence of the optimal control, and solve for the control in both …
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KolevM., Mathematical modelling of the competition between tumors and immune system considering the role of the antibodies Mathematical and Computer Modelling. ,(2003)
P. S. Schein, Saul A. Rosenberg, Paul Calabresi, Medical Oncology: Basic Principles and Clinical Management of Cancer ,(1993)
Zuzanna Szymańska, ANALYSIS OF IMMUNOTHERAPY MODELS IN THE CONTEXT OF CANCER DYNAMICS International Journal of Applied Mathematics and Computer Science. ,vol. 13, pp. 407- 418 ,(2003)
J. Couzin, Select T Cells, Given Space, Shrink Tumors Science. ,vol. 297, pp. 1973- 1973 ,(2002) , 10.1126/SCIENCE.297.5589.1973A
K. Hardy, J. Stark, Mathematical models of the balance between apoptosis and proliferation. Apoptosis. ,vol. 7, pp. 373- 381 ,(2002) , 10.1023/A:1016183731694
Michael C. Perry, The Chemotherapy Source Book ,(2001)
Raymond W. Rishel, Wendell Helms Fleming, Deterministic and Stochastic Optimal Control ,(1975)
Atsushi Ochiai, Tomoyuki Yokose, Katashi Fukao, Tatsuya Oda, Yasuyuki Aoyagi, Yuko Minami, Yukio Morishita, Tatsuo Iijima, Masayuki Noguchi, Accumulation of losses of heterozygosity and multistep carcinogenesis in pulmonary adenocarcinoma Cancer Research. ,vol. 61, pp. 7950- 7954 ,(2001)
Andreas Diefenbach, Eric R. Jensen, Amanda M. Jamieson, David H. Raulet, Rae1 and H60 ligands of the NKG2D receptor stimulate tumour immunity Nature. ,vol. 413, pp. 165- 171 ,(2001) , 10.1038/35093109
Urszula Ledzewicz, Andrzej Świerniak, Heinz Schättler, OPTIMAL CONTROL FOR A CLASS OF COMPARTMENTAL MODELS IN CANCER CHEMOTHERAPY International Journal of Applied Mathematics and Computer Science. ,vol. 13, pp. 357- 368 ,(2003)