Branching Process Models of Cancer

Nonfiction, Science & Nature, Mathematics, Applied, Statistics
Cover of the book Branching Process Models of Cancer by Richard Durrett, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Richard Durrett ISBN: 9783319160658
Publisher: Springer International Publishing Publication: June 20, 2015
Imprint: Springer Language: English
Author: Richard Durrett
ISBN: 9783319160658
Publisher: Springer International Publishing
Publication: June 20, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Computer Vision – ACCV 2018 by Richard Durrett
Cover of the book Interpreting Charles Taylor’s Social Theory on Religion and Secularization by Richard Durrett
Cover of the book The Future Foreign Correspondent by Richard Durrett
Cover of the book Model Checking Software by Richard Durrett
Cover of the book Bridging the Innovation Gap by Richard Durrett
Cover of the book Soft Computing Applications by Richard Durrett
Cover of the book Grate-Fired Energy Crop Conversion by Richard Durrett
Cover of the book Breaking the Ice by Richard Durrett
Cover of the book Fundamentals of Robotic Mechanical Systems by Richard Durrett
Cover of the book Instance-Specific Algorithm Configuration by Richard Durrett
Cover of the book Medicalizing Counselling by Richard Durrett
Cover of the book Carpal Tunnel Syndrome and Related Median Neuropathies by Richard Durrett
Cover of the book Semigroup Methods for Evolution Equations on Networks by Richard Durrett
Cover of the book Avant-garde Orientalism by Richard Durrett
Cover of the book Applied Clinical Pharmacokinetics and Pharmacodynamics of Psychopharmacological Agents by Richard Durrett
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy