9783319160641-3319160648-Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series (1.1))

Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series (1.1))

ISBN-13: 9783319160641
ISBN-10: 3319160648
Edition: 2015
Author: Durrett, Richard
Publication date: 2015
Publisher: Springer
Format: Paperback 70 pages
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Book details

ISBN-13: 9783319160641
ISBN-10: 3319160648
Edition: 2015
Author: Durrett, Richard
Publication date: 2015
Publisher: Springer
Format: Paperback 70 pages

Summary

Acknowledged authors Durrett, Richard wrote Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series (1.1)) comprising 70 pages back in 2015. Textbook and eTextbook are published under ISBN 3319160648 and 9783319160641. Since then Branching Process Models of Cancer (Mathematical Biosciences Institute Lecture Series (1.1)) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

Description

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.

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