Dynamics of Cancer.pdf

Dynamics of Cancer

Dominik Wodarz


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.

xii Dynamics of cancer: mathematical foundations ofoncology 10.3 Three regimes: a two-step process, stochastic tunneling, and a nearly-deterministic regime 150 10.4 Thetransition matrix 151 10.5 Mathematicaltheory 152 10.5.1 The Kolmogorov forward equation in the absence of intermediate mutantfixation 152 10.5.2 Theprobability generatingfunction 153 10.5.3 The method of characteristics …

9.98 MB DATEIGRÖSSE
9814566365 ISBN
Englisch SPRACHE
Dynamics of Cancer.pdf

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Sofia Voigt

Spatiotemporal Dynamics of Intratumoral … 17.10.2013 · The complex interactions between tumors and their microenvironment remain to be elucidated. Combining large-scale approaches, we examined the spatio-temporal dynamics of 28 different immune cell types (immunome) infiltrating tumors. We found that the immune infiltrate composition changed at each tumor stage and that particular cells had a major impact on survival. …

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