Abstract：
:In this paper, two cancer therapies are investigated through their mathematical models. Namely, angiogenesis inhibition (P. Hahndfeldt, D. Panigrahy, J. Folkman, L. Hlatky, Tumor development under angiogenic signaling: a dynamical theory of tumor growth, treatment response, and postvascular dormancy, Cancer Res. 59, 1999, 4770-4775) and tumor-immune interactions with chemotherapy (L. De Pillis, W. Gu, K.R. Fister, T. Head, K. Maples, A. Murugan, T. Neal, K. Yoshida, Chemotherapy for tumors: an analysis of the dynamics and a study of quadratic and linear optimal controls. Math. Biosci. 209 (1), 2007, 292-315). The feedback protocols are determined by using a control set-valued method whose mathematical foundations are stated in (K. Kassara, A unified set-valued approach to control immunotherapy, SIAM J. Contr. Optim. 48 (2), 2009, 909-924), and which is demonstrated to be well suited for cancer control.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Kassara K,Moustafid Adoi
10.1016/j.mbs.2011.02.010subject
Has Abstractpub_date
2011-06-01 00:00:00pages
135-43issue
2eissn
0025-5564issn
1879-3134pii
S0025-5564(11)00028-9journal_volume
231pub_type
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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journal_title：Mathematical biosciences
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