Dynamics of Cancer: Mathematical Foundations of Oncology
Dynamics of Cancer: Mathematical Foundations of Oncology
复制标题
癌症动力学：肿瘤学的数学基础
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
N. Komarova
中科院分区：
文献类型：
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作者：
D. Wodarz;N. Komarova
这本书的目的是提供一个介绍数学模型，描述肿瘤生长的动态和肿瘤细胞的演变。它可以作为高级本科或研究生课程的教科书，也可以作为研究人员的参考书。这本书有很强的进化成分，反映了癌症可以通过数学和生物学工具的结合来理性理解的观点。数学家和生物学家都可以使用它。在数学上，这本书从相对简单的常微分方程模型开始，随后探索更复杂的随机和空间模型。从生物学上讲，这本书从探索肿瘤生长的基本动力学开始，包括细胞之间的竞争性相互作用，随后转移到癌细胞的进化动力学，包括癌症发生，进展和治疗的场景。这本书最后讨论了一些高级主题，这些主题描述了一些数学概念如何用于深入了解各种问题，如表观遗传学，端粒，基因治疗和癌细胞的社会相互作用。读者群：数学生物学、数学建模、生物学、数学肿瘤学的研究人员。
The book aims to provide an introduction to mathematical models that describe the dynamics of tumor growth and the evolution of tumor cells. It can be used as a textbook for advanced undergraduate or graduate courses, and also serves as a reference book for researchers. The book has a strong evolutionary component and reflects the viewpoint that cancer can be understood rationally through a combination of mathematical and biological tools. It can be used both by mathematicians and biologists. Mathematically, the book starts with relatively simple ordinary differential equation models, and subsequently explores more complex stochastic and spatial models. Biologically, the book starts with explorations of the basic dynamics of tumor growth, including competitive interactions among cells, and subsequently moves on to the evolutionary dynamics of cancer cells, including scenarios of cancer initiation, progression, and treatment. The book finishes with a discussion of advanced topics, which describe how some of the mathematical concepts can be used to gain insights into a variety of questions, such as epigenetics, telomeres, gene therapy, and social interactions of cancer cells. Readership: Researchers in mathematical biology, mathematical modeling, biology, mathematical oncology.