Probabilistic Models Of Population Evolution

DOWNLOAD
Download Probabilistic Models Of Population Evolution PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Probabilistic Models Of Population Evolution book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Probabilistic Models Of Population Evolution
DOWNLOAD
Author : Étienne Pardoux
language : en
Publisher: Springer
Release Date : 2016-06-17
Probabilistic Models Of Population Evolution written by Étienne Pardoux and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-17 with Mathematics categories.
This expository book presents the mathematical description of evolutionary models of populations subject to interactions (e.g. competition) within the population. The author includes both models of finite populations, and limiting models as the size of the population tends to infinity. The size of the population is described as a random function of time and of the initial population (the ancestors at time 0). The genealogical tree of such a population is given. Most models imply that the population is bound to go extinct in finite time. It is explained when the interaction is strong enough so that the extinction time remains finite, when the ancestral population at time 0 goes to infinity. The material could be used for teaching stochastic processes, together with their applications. Étienne Pardoux is Professor at Aix-Marseille University, working in the field of Stochastic Analysis, stochastic partial differential equations, and probabilistic models in evolutionary biology and population genetics. He obtained his PhD in 1975 at University of Paris-Sud.
Probability Models For Dna Sequence Evolution
DOWNLOAD
Author : Rick Durrett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Probability Models For Dna Sequence Evolution written by Rick Durrett 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.
Our basic question is: Given a collection of DNA sequences, what underlying forces are responsible for the observed patterns of variability? To approach this question we introduce and analyze a number of probability models: the Wright-Fisher model, the coalescent, the infinite alleles model, and the infinite sites model. We study the complications that come from nonconstant population size, recombination, population subdivision, and three forms of natural selection: directional selection, balancing selection, and background selection. These theoretical results set the stage for the investigation of various statistical tests to detect departures from "neutral evolution." The final chapter studies the evolution of whole genomes by chromosomal inversions, reciprocal translocations, and genome duplication. Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies from the biology literature that illustrate the use of these results. This book is written for mathematicians and for biologists alike. We assume no previous knowledge of concepts from biology and only a basic knowledge of probability: a one semester undergraduate course and some familiarity with Markov chains and Poisson processes. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of six books and 125 research papers, and is the academic father of more than 30 Ph.D. students. His current interests are the use of probability models in genetics and ecology, and decreasing the mean and variance of his golf.
Handbook Of Statistical Genomics
DOWNLOAD
Author : David J. Balding
language : en
Publisher: John Wiley & Sons
Release Date : 2019-07-09
Handbook Of Statistical Genomics written by David J. Balding and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-09 with Science categories.
A timely update of a highly popular handbook on statistical genomics This new, two-volume edition of a classic text provides a thorough introduction to statistical genomics, a vital resource for advanced graduate students, early-career researchers and new entrants to the field. It introduces new and updated information on developments that have occurred since the 3rd edition. Widely regarded as the reference work in the field, it features new chapters focusing on statistical aspects of data generated by new sequencing technologies, including sequence-based functional assays. It expands on previous coverage of the many processes between genotype and phenotype, including gene expression and epigenetics, as well as metabolomics. It also examines population genetics and evolutionary models and inference, with new chapters on the multi-species coalescent, admixture and ancient DNA, as well as genetic association studies including causal analyses and variant interpretation. The Handbook of Statistical Genomics focuses on explaining the main ideas, analysis methods and algorithms, citing key recent and historic literature for further details and references. It also includes a glossary of terms, acronyms and abbreviations, and features extensive cross-referencing between chapters, tying the different areas together. With heavy use of up-to-date examples and references to web-based resources, this continues to be a must-have reference in a vital area of research. Provides much-needed, timely coverage of new developments in this expanding area of study Numerous, brand new chapters, for example covering bacterial genomics, microbiome and metagenomics Detailed coverage of application areas, with chapters on plant breeding, conservation and forensic genetics Extensive coverage of human genetic epidemiology, including ethical aspects Edited by one of the leading experts in the field along with rising stars as his co-editors Chapter authors are world-renowned experts in the field, and newly emerging leaders. The Handbook of Statistical Genomics is an excellent introductory text for advanced graduate students and early-career researchers involved in statistical genetics.
A Biologist S Guide To Mathematical Modeling In Ecology And Evolution
DOWNLOAD
Author : Sarah P. Otto
language : en
Publisher: Princeton University Press
Release Date : 2011-09-19
A Biologist S Guide To Mathematical Modeling In Ecology And Evolution written by Sarah P. Otto and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-19 with Science categories.
Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available
Artificial Intelligence And Computational Intelligence
DOWNLOAD
Author : Hepu Deng
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-12
Artificial Intelligence And Computational Intelligence written by Hepu Deng 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 2011-09-12 with Computers categories.
This three-volume proceedings contains revised selected papers from the Second International Conference on Artificial Intelligence and Computational Intelligence, AICI 2011, held in Taiyuan, China, in September 2011. The total of 265 high-quality papers presented were carefully reviewed and selected from 1073 submissions. The topics of Part I covered are: applications of artificial intelligence; applications of computational intelligence; automated problem solving; biomedical inforamtics and computation; brain models/cognitive science; data mining and knowledge discovering; distributed AI and agents; evolutionary programming; expert and decision support systems; fuzzy computation; fuzzy logic and soft computing; and genetic algorithms.
The Evolution Of Life
DOWNLOAD
Author : Corinne Fortin
language : en
Publisher: John Wiley & Sons
Release Date : 2024-06-11
The Evolution Of Life written by Corinne Fortin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-11 with Education categories.
The aim of this collective work is to give an account of the topicality and dynamics of new research in the didactics of evolution, by articulating francophone and international work. The various contributions pursue a reflection on the challenges of teaching and learning about evolution, based on historical, epistemological and societal approaches. The themes addressed illustrate the vitality and diversity of research issues in educational sciences, from primary school to university. Structured around different theoretical fields (problematization, didactics of the curriculum, nature of science, etc.), this book explores the content, teaching and learning processes and approaches, teaching practices, as well as pre-service and in-service teacher training, with a view to both intelligibility and feasibility.
The Ecology And Evolution Of Invasive Populations
DOWNLOAD
Author : Ben Phillips
language : en
Publisher: Oxford University Press
Release Date : 2025-02-27
The Ecology And Evolution Of Invasive Populations written by Ben Phillips and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-27 with Science categories.
Invasive populations are ubiquitous and invariably carry consequences. A gene for herbicide resistance spreads; a tumour grows in a loved one's body; an agricultural pest sweeps across the country; a new pathogen proliferates around the world. All of these are invasive populations — populations of genes, cells, or organisms spreading without control and having massive impact. Our collective desire to understand how invasive populations spread has inspired a rich body of basic theory developed from foundations laid in physics and statistics over a century ago. This theory has, however, often failed to explain real patterns in nature because a key consideration has been missing — evolution. The last few decades have seen a growing awareness that evolution plays out on timescales that matter to many systems. The recent emergence of evolutionary thinking in invasion biology has generated important new ideas and has enriched our understanding not only of invasions but of ecology and evolution more broadly. This accessible textbook introduces these new ideas. It provides both a survey of the field — a story about the history and development of our understanding — as well as a synthesis of the new developments. There are many titles on biological invasions that typically take a purely ecological viewpoint, whilst those texts in which evolution does feature have tended to concentrate on adaptation to new environments. This book instead focuses on the intimate interplay between ecological and evolutionary processes as populations spread through time and space. The Ecology and Evolution of Invasive Populations is an advanced textbook aimed at graduate students and researchers in ecology and evolutionary biology seeking a broad, up-to-date, and authoritative overview of the field. The study of biological invasions is no longer a specialized sub-discipline of ecology; this book will also be of relevance to a far broader academic readership from disciplines ranging across physics, mathematics, and medicine.
Population Dynamics Algebraic And Probabilistic Approach
DOWNLOAD
Author : Utkir A Rozikov
language : en
Publisher: World Scientific
Release Date : 2020-04-22
Population Dynamics Algebraic And Probabilistic Approach written by Utkir A Rozikov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-22 with Science categories.
A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.
Mathematical Modeling In The Social And Life Sciences
DOWNLOAD
Author : Michael Olinick
language : en
Publisher: John Wiley & Sons
Release Date : 2014-05-05
Mathematical Modeling In The Social And Life Sciences written by Michael Olinick and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-05 with Mathematics categories.
The goal of this book is to encourage the teaching and learning of mathematical model building relatively early in the undergraduate program. The text introduces the student to a number of important mathematical topics and to a variety of models in the social sciences, life sciences, and humanities.