Branching Processes And Neutral Evolution PDF Download
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Author | : Ziad Taib |
Publisher | : Springer Science & Business Media |
Total Pages | : 120 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3642515363 |
Download Branching Processes and Neutral Evolution Book in PDF, ePub and Kindle
The Galton-Watson branching process has its roots in the problem of extinction of family names which was given a precise formulation by F. Galton as problem 4001 in the Educational Times (17, 1873). In 1875, an attempt to solve this problem was made by H. W. Watson but as it turned out, his conclusion was incorrect. Half a century later, R. A. Fisher made use of the Galton-Watson process to determine the extinction probability of the progeny of a mutant gene. However, it was J. B. S. Haldane who finally gave the first sketch of the correct conclusion. J. B. S. Haldane also predicted that mathematical genetics might some day develop into a "respectable branch of applied mathematics" (quoted in M. Kimura & T. Ohta, Theoretical Aspects of Population Genetics. Princeton, 1971). Since the time of Fisher and Haldane, the two fields of branching processes and mathematical genetics have attained a high degree of sophistication but in different directions. This monograph is a first attempt to apply the current state of knowledge concerning single-type branching processes to a particular area of mathematical genetics: neutral evolution. The reader is assumed to be familiar with some of the concepts of probability theory, but no particular knowledge of branching processes is required. Following the advice of an anonymous referee, I have enlarged my original version of the introduction (Chapter Zero) in order to make it accessible to a larger audience. G6teborg, Sweden, November 1991.
Author | : Ziad Taïb |
Publisher | : |
Total Pages | : 157 |
Release | : 1987 |
Genre | : |
ISBN | : |
Download Labelled Branching Processes with Applications to Neutral Evolution Theory Book in PDF, ePub and Kindle
Author | : Ziad Taib |
Publisher | : |
Total Pages | : 158 |
Release | : 1987 |
Genre | : Branching processes |
ISBN | : 9789170323300 |
Download Labeled Branching Processes with Applications to Neutral Evolution Theory Book in PDF, ePub and Kindle
Author | : Motoo Kimura |
Publisher | : Cambridge University Press |
Total Pages | : 388 |
Release | : 1983 |
Genre | : Science |
ISBN | : 9780521317931 |
Download The Neutral Theory of Molecular Evolution Book in PDF, ePub and Kindle
This book is the first comprehensive treatment of this subject.
Author | : Daniah Tahir |
Publisher | : |
Total Pages | : |
Release | : 2019 |
Genre | : |
ISBN | : 9789150627657 |
Download Multi-trait Branching Models with Applications to Species Evolution Book in PDF, ePub and Kindle
Author | : Patsy Haccou |
Publisher | : Cambridge University Press |
Total Pages | : 342 |
Release | : 2005-05-19 |
Genre | : Mathematics |
ISBN | : 9780521832205 |
Download Branching Processes Book in PDF, ePub and Kindle
This book covers the mathematical idea of branching processes, and tailors it for a biological audience.
Author | : Ruibo Zhang |
Publisher | : |
Total Pages | : 0 |
Release | : 2022 |
Genre | : |
ISBN | : |
Download Branching Process Models for Cancer Evolution Book in PDF, ePub and Kindle
We study a multi-type branching process model associated with a transitional network between types. In particular, we are interested in determining the waiting time to each type in the network, employing an approximation of the process by its large time limit. We first present a literature review of results on large time limits and classify the dynamics of branching processes by their mean value matrices. For the special case when the transitional network is a single pathway, we present two approaches regarding approximating the waiting time for each type. To apply our theory to a real world problem, we use a multi-type branching process to model the development of colorectal cancer from initially healthy tissue. The model incorporates a complex sequence of driver gene alterations, some of which result in immediate growth advantage, while others have initially neutral effects. We derive analytic estimates for the sizes of premalignant subpopulations, and use these results to compute the waiting time distributions of novel driver mutations.
Author | : Charles Swanton |
Publisher | : Perspectives Cshl |
Total Pages | : 350 |
Release | : 2017 |
Genre | : Medical |
ISBN | : 9781621821434 |
Download Cancer Evolution Book in PDF, ePub and Kindle
Tumor progression is driven by mutations that confer growth advantages to different subpopulations of cancer cells. As a tumor grows, these subpopulations expand, accumulate new mutations, and are subjected to selective pressures from the environment, including anticancer interventions. This process, termed clonal evolution, can lead to the emergence of therapy-resistant tumors and poses a major challenge for cancer eradication efforts. Written and edited by experts in the field, this collection from Cold Spring Harbor Perspectives in Medicine examines cancer progression as an evolutionary process and explores how this way of looking at cancer may lead to more effective strategies for managing and treating it. The contributors review efforts to characterize the subclonal architecture and dynamics of tumors, understand the roles of chromosomal instability, driver mutations, and mutation order, and determine how cancer cells respond to selective pressures imposed by anticancer agents, immune cells, and other components of the tumor microenvironment. They compare cancer evolution to organismal evolution and describe how ecological theories and mathematical models are being used to understand the complex dynamics between a tumor and its microenvironment during cancer progression. The authors also discuss improved methods to monitor tumor evolution (e.g., liquid biopsies) and the development of more effective strategies for managing and treating cancers (e.g., immunotherapies). This volume will therefore serve as a vital reference for all cancer biologists as well as anyone seeking to improve clinical outcomes for patients with cancer.
Author | : Marek Kimmel |
Publisher | : Springer Science & Business Media |
Total Pages | : 242 |
Release | : 2002-05-10 |
Genre | : Mathematics |
ISBN | : 038795340X |
Download Branching Processes in Biology Book in PDF, ePub and Kindle
Biological examples of branching processes from molecular and cellular biology are introduced in this volume, as well as from the fields of human evolution and medicine. It will interest scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, and others. 54 illustrations.
Author | : Patsy Haccou |
Publisher | : Cambridge University Press |
Total Pages | : 332 |
Release | : 2007-11-05 |
Genre | : Science |
ISBN | : 9780521539852 |
Download Branching Processes Book in PDF, ePub and Kindle
Biology takes a special place among the other natural sciences because biological units, be they pieces of DNA, cells or organisms, reproduce more or less faithfully. As for any other biological processes, reproduction has a large random component. The theory of branching processes was developed especially as a mathematical counterpart to this most fundamental of biological processes. This active and rich research area allows us to make predictions about both extinction risks and the development of population composition, and also uncovers aspects of a population's history from its current genetic composition. Branching processes play an increasingly important role in models of genetics, molecular biology, microbiology, ecology and evolutionary theory. This book presents this body of mathematical ideas for a biological audience, but should also be enjoyable to mathematicians.