Branching process models of cancer [electronic resource]

• 作者： Durrett, Richard.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Mathematical Biosciences Institute lecture series,
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Mathematical Biosciences Institute lecture series,v.1
• 主題： Cancer--Mathematical models , Branching processes , Mathematics , Probability Theory and Stochastic Processes. , Mathematical and Computational Biology. , Cancer Research.
• ISBN： 9783319160658 (electronic bk.) 、 9783319160641 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: 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.
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