Branching Process Models of Cancer

Richard Durrett

ISBN 10: 3319160648 / ISBN 13: 9783319160641

Published by Springer International Publishing, Springer International Publishing, 2015

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9783319160641

Bibliographic Details

• Title: Branching Process Models of Cancer
• Publisher: Springer International Publishing, Springer International Publishing
• Publication Date: 2015
• Language: English
• ISBN 10: 3319160648
• ISBN 13: 9783319160641
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 5D millimeters 235 millimeters width by 155 millimeters height by 5 millimeters depth
• Weight: 138 grams

About this title

Synopsis

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 Author

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.