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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.
Pages
63 pages
Collection
Mathematical Biosciences Institute Lecture Series
Parution
2015-06-20
Marque
Springer
EAN papier
9783319160641
EAN PDF
9783319160658

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
6
Taille du fichier
870 Ko
Prix
31,64 €
EAN EPUB
9783319160658

Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
6
Taille du fichier
911 Ko
Prix
31,64 €