Branching Process Models of Cancer

Durrett, Richard

ISBN 10: 3319160648 / ISBN 13: 9783319160641

Editore: Springer 2015-07, 2015

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Codice articolo 6666-IUK-9783319160641

Dati bibliografici

• Titolo: Branching Process Models of Cancer
• Editore: Springer 2015-07
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 3319160648
• ISBN 13: 9783319160641
• Rilegatura: PF
• Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

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.