Labelled Branching Processes With Applications To Neutral Evolution Theory
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Branching Processes In Biology
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Author : Marek Kimmel
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-10
Branching Processes In Biology written by Marek Kimmel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-10 with Mathematics categories.
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.
Labelled Branching Processes With Applications To Neutral Evolution Theory
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Author : Ziad Taïb
language : en
Publisher:
Release Date : 1987
Labelled Branching Processes With Applications To Neutral Evolution Theory written by Ziad Taïb and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Branching Processes And Neutral Evolution
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Author : Ziad Taib
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Branching Processes And Neutral Evolution written by Ziad Taib and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
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.
Stochastic Modelling In Biology Relevant Mathematical Concepts And Recent Applications
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Author : Petre Tautu
language : en
Publisher: #N/A
Release Date : 1990-12-05
Stochastic Modelling In Biology Relevant Mathematical Concepts And Recent Applications written by Petre Tautu and has been published by #N/A this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-12-05 with categories.
These proceedings focus on future prospects as well as on the present status in some important areas of applied probability and mathematical biology. Some papers have educational intentions regarding the mathematical modelling of special biological situations. The workshop was the third one in Heidelberg dealing with stochastic modelling in biology, e.g., cell biology, embryology, oncology, epidemiology and genetics.
Selected Proceedings Of The Sheffield Symposium On Applied Probability
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Author : Ishwar V. Basawa
language : en
Publisher: IMS
Release Date : 1991
Selected Proceedings Of The Sheffield Symposium On Applied Probability written by Ishwar V. Basawa and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.
The Genealogy Of Branching Processes
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Author : Neil Michael O'Connell
language : en
Publisher:
Release Date : 1993
The Genealogy Of Branching Processes written by Neil Michael O'Connell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
Progress In Population Genetics And Human Evolution
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Author : Peter Donnelly
language : en
Publisher: Springer Verlag
Release Date : 1997-02-27
Progress In Population Genetics And Human Evolution written by Peter Donnelly and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-02-27 with Mathematics categories.
This book is devoted to the collection, interpretation and analysis of population genetic data. Among the topics included here are studies on human evolutionary history, molecular techniques for generating data, statistical and computational techniques for the interpretation of such data, and stochastic models for genealogy and population structure. The chapters reflect the close interaction between experimental molecular biologists and theoreticians. The book will be useful for specialists in the area, as well as mathematicians, statisticians, computer scientists and biologists wanting a brief overview of current problems in the field.
Advances In Applied Probability
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Author :
language : en
Publisher:
Release Date : 1995
Advances In Applied Probability written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematical statistics categories.
Labeled Branching Processes With Applications To Neutral Evolution Theory
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Author : Ziad Taib
language : en
Publisher:
Release Date : 1987
Labeled Branching Processes With Applications To Neutral Evolution Theory written by Ziad Taib and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Branching processes categories.
Stochasticity In Processes
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Author : Peter Schuster
language : en
Publisher: Springer
Release Date : 2016-10-14
Stochasticity In Processes written by Peter Schuster and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-14 with Science categories.
This book has developed over the past fifteen years from a modern course on stochastic chemical kinetics for graduate students in physics, chemistry and biology. The first part presents a systematic collection of the mathematical background material needed to understand probability, statistics, and stochastic processes as a prerequisite for the increasingly challenging practical applications in chemistry and the life sciences examined in the second part. Recent advances in the development of new techniques and in the resolution of conventional experiments at nano-scales have been tremendous: today molecular spectroscopy can provide insights into processes down to scales at which current theories at the interface of physics, chemistry and the life sciences cannot be successful without a firm grasp of randomness and its sources. Routinely measured data is now sufficiently accurate to allow the direct recording of fluctuations. As a result, the sampling of data and the modeling of relevant processes are doomed to produce artifacts in interpretation unless the observer has a solid background in the mathematics of limited reproducibility. The material covered is presented in a modular approach, allowing more advanced sections to be skipped if the reader is primarily interested in applications. At the same time, most derivations of analytical solutions for the selected examples are provided in full length to guide more advanced readers in their attempts to derive solutions on their own. The book employs uniform notation throughout, and a glossary has been added to define the most important notions discussed.