| 書(shū)目名稱(chēng) | Mathematical Oncology 2013 | | 編輯 | Alberto d‘Onofrio,Alberto Gandolfi | | 視頻video | http://file.papertrans.cn/627/626482/626482.mp4 | | 概述 | Highlights the most significant recent results in the field of mathematical oncology.Contains interdisciplinary contributions by bio mathematicians, computational and theoretical biologists, biophysic | | 叢書(shū)名稱(chēng) | Modeling and Simulation in Science, Engineering and Technology | | 圖書(shū)封面 |  | | 描述 | .With chapters on free boundaries, constitutive equations, stochastic dynamics, nonlinear diffusion–consumption, structured populations, and applications of optimal control theory, this volume presents the most significant recent results in the field of mathematical oncology. It highlights the work of world-class research teams, and explores how different researchers approach the same problem in various ways..Tumors are complex entities that present numerous challenges to the mathematical modeler. First and foremost, they grow. Thus their spatial mean field description involves a free boundary problem. Second, their interiors should be modeled as nontrivial porous media using constitutive equations. Third, at the end of anti-cancer therapy, a small number of malignant cells remain, making the post-treatment dynamics inherently stochastic. Fourth, the growth parameters of macroscopic tumors are non-constant, as are the parameters of anti-tumor therapies. Changes in these parameters may induce phenomena that are mathematically equivalent to phase transitions. Fifth, tumor vascular growth is random and self-similar. Finally, the drugs used in chemotherapy diffuse and are taken up by t | | 出版日期 | Book 2014 | | 關(guān)鍵詞 | Anticancer therapy; Mathematical biology and medicine; Mathematical modeling; Stochasticity; Systems bio | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4939-0458-7 | | isbn_softcover | 978-1-4939-4803-1 | | isbn_ebook | 978-1-4939-0458-7Series ISSN 2164-3679 Series E-ISSN 2164-3725 | | issn_series | 2164-3679 | | copyright | Springer Science+Business Media New York 2014 |
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