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Branching process models of cancer[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	616.9940015118
書名/作者:	Branching process models of cancer/ by Richard Durrett.
作者:	Durrett, Richard.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	vii, 63 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Cancer - Mathematical models.
標題:	Branching processes.
標題:	Mathematics.
標題:	Probability Theory and Stochastic Processes.
標題:	Mathematical and Computational Biology.
標題:	Cancer Research.
ISBN:	9783319160658 (electronic bk.)
ISBN:	9783319160641 (paper)
摘要、提要註:	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 authors calculate the probability that mutations that confer resistance to treatment are present at detection and quantify the extent of tumor heterogeneity. As applications, the authors 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. 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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-16065-8

Branching process models of cancer[electronic resource] /
Durrett, Richard.

Branching process models of cancer[electronic resource] /by Richard Durrett. - Cham :Springer International Publishing :2015. - vii, 63 p. :ill., digital ;24 cm. - Mathematical biosciences institute lecture series ;v.1. - Mathematical biosciences institute lecture series ;v.1..

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 authors calculate the probability that mutations that confer resistance to treatment are present at detection and quantify the extent of tumor heterogeneity. As applications, the authors 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. 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.

ISBN: 9783319160658 (electronic bk.)

Standard No.: 10.1007/978-3-319-16065-8doiSubjects--Topical Terms:

511339
Cancer
--Mathematical models.

LC Class. No.: RC267

Dewey Class. No.: 616.9940015118

Branching process models of cancer[electronic resource] /
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