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Stochastics in Biological Systems

Branching Process Models of Cancer

Authors: Durrett, Richard

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  • The first volume published in the new series Mathematical Biosciences Institute
  • Concise and easy to understand for graduate students familiar with Poisson processes and continuous time Markov chains
  • Includes examples and theorems throughout
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eBook $24.99
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  • ISBN 978-3-319-16065-8
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Softcover $34.99
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About this book

This volume develops results on continuous time branching processes and applies them to study rate of tumor growth, extending classic work on the Luria-Delbruck distribution. As a consequence, the author calculate the probability that mutations that confer resistance to treatment are present at detection and quantify the extent of tumor heterogeneity. As applications, the author evaluate ovarian cancer screening strategies and give rigorous proofs for results of Heano and Michor concerning tumor metastasis. These notes should be accessible to students who are familiar with Poisson processes and continuous time Markov chains.

Richard Durrett is a mathematics professor at Duke University, USA. He is the author of 8 books, over 200 journal articles, and has supervised more than 40 Ph.D students. Most of his current research concerns the applications of probability to biology: ecology, genetics and most recently cancer.

About the authors

Richard Durrett is mathematics professor at Duke University, USA. He is the author of 8 books, over 200 journal articles and has supervised more than 40 Ph.D. students. Most of his current research concerns the applications of probability to biology: ecology, genetics, and most recently cancer.

Reviews

“It provides a survey of cancer modeling using multitype branching processes. … the text should be accessible for graduate students in mathematics and biology who are familiar with Poisson processes and continuous-time Markov chains.” (Matthias Meiners, zbMATH 1328.92004, 2016)


Table of contents (1 chapters)

Table of contents (1 chapters)
  • Branching Process Models of Cancer

    Pages 1-63

    Durrett, Richard

Buy this book

eBook $24.99
price for USA in USD
  • ISBN 978-3-319-16065-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $34.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Branching Process Models of Cancer
Authors
Series Title
Stochastics in Biological Systems
Series Volume
1.1
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-16065-8
DOI
10.1007/978-3-319-16065-8
Softcover ISBN
978-3-319-16064-1
Series ISSN
2364-2297
Edition Number
1
Number of Pages
VII, 63
Number of Illustrations
4 b/w illustrations, 2 illustrations in colour
Additional Information
Copublished with the Mathematical Biosciences Institute
Topics