书目名称 | Mathematical Models in Cell Biology and Cancer Chemotherapy | 编辑 | Martin Eisen | 视频video | | 丛书名称 | Lecture Notes in Biomathematics | 图书封面 |  | 描述 | The purpose of this book is to show how mathematics can be applied to improve cancer chemotherapy. Unfortunately, most drugs used in treating cancer kill both normal and abnormal cells. However, more cancer cells than normal cells can be destroyed by the drug because tumor cells usually exhibit different growth kinetics than normal cells. To capitalize on this last fact, cell kinetics must be studied by formulating mathematical models of normal and abnormal cell growth. These models allow the therapeutic and harmful effects of cancer drugs to be simulated quantitatively. The combined cell and drug models can be used to study the effects of different methods of administering drugs. The least harmful method of drug administration, according to a given criterion, can be found by applying optimal control theory. The prerequisites for reading this book are an elementary knowledge of ordinary differential equations, probability, statistics, and linear algebra. In order to make this book self-contained, a chapter on cell biology and a chapter on control theory have been included. Those readers who have had some exposure to biology may prefer to omit Chapter I (Cell Biology) and only use i | 出版日期 | Book 1979 | 关键词 | Biomathematik; Control theory; Eisen; Zelle; calculus; cancer Chemotherapy; cell biology; equation; function | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-93126-0 | isbn_softcover | 978-3-540-09709-9 | isbn_ebook | 978-3-642-93126-0Series ISSN 0341-633X Series E-ISSN 2196-9981 | issn_series | 0341-633X | copyright | Springer-Verlag Berlin Heidelberg 1979 |
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