Stochastic Processes in Genetics and Evo
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Om Stochastic Processes in Genetics and Evo
The scope of this book is the field of evolutionary genetics. The book contains new methods for simulating evolution at the genomic level. It sets out applications using up to date Monte Carlo simulation methods applied in classical population genetics, and sets out new fields of quantifying mutation and selection at the Mendelian level. A serious limitation of Wright-Fisher process, the assumption that population size is constant, motivated the introduction of self regulating branching processes in this book. While providing a short review of the principles of probability and its application and using computer intensive methods whilst applying these principles, this book explains how it is possible to derive new formulas expressed in terms of matrix algebra providing new insights into the classical Wright-Fisher processes of evolutionary genetics. Also covered are the development of new methods for studying genetics and evolution, simulating nucleotide substitutions of a DNA molecule and on self regulating branching processes. Components of natural selection are studied in terms of reproductive success of each genotype whilst also studying the differential ability of genotypes to compete for resources and sexual selection. The concept of the gene is also reviewed in this book, and it provides a current definition of a gene based on very recent experiments with micro-array technologies. A development of stochastic models for simulating the evolution of model genomes concludes the studies in this book. Deserving of a place on the book shelves of workers in biomathematics, applied probability, stochastic processes and statistics, as well as in bioinformatics and phylogenetics, it will also be relevant to those interested in computer simulation, and evolutionary biologists interested in quantitative methods.Contents:An Introduction to Mathematical Probability with Applications in Mendelian GeneticsLinkage and Recombination at Multiple LociLinkage and Recombination in Large Random Mating Diploid Populations Random Mating Diploid PopulationsTwo Allele Wright-Fisher Process with Mutation and SelectionMultitype Gamete Sampling Processes, Generation of Random Numbers and Monte Carlo Simulation MethodsNucleotide Substitution Models Formulated as Markov Processes in Continuous TimeMixtures of Markov Processes as Models of Nucleotide Substitutions at Many SitesComputer Implementations and Applications of Nucleotide Substitution Models at Many Sites — Other Non-SNP Types of MutationGenealogies, Coalescence and Self-Regulating Branching ProcessesEmergence, Survival and Extinction of Mutant Types in Populations of Self Replicating Individuals Evolving From Small Founder PopulationsTwo Sex Multitype Self Regulating Branching Processes in Evolutionary GeneticsMultitype Self-Regulatory Branching Process and the Evolutionary Genetics of Age Structured Two Sex PopulationsAn Overview of the History of the Concept of a Gene and Selected Topics in Molecular GeneticsDetecting Genomic Signals of Selection and the Development of Models for Simulating the Evolution of GenomesSuggestions for Further Research, Reading and ViewingReadership: Professionals, researchers in mathematical and theoretical genetics and biology, graduate students in applied stochastic processes.