کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4500333 1319982 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Angiogenesis inhibition and tumor-immune interactions with chemotherapy by a control set-valued method
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Angiogenesis inhibition and tumor-immune interactions with chemotherapy by a control set-valued method
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 231, Issue 2, June 2011, Pages 135–143
نویسندگان
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