Mathematical Modeling of Evolution

Mathematical Modeling of Evolution

Author: Igor M. Rouzine

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-11-23

Total Pages: 181

ISBN-13: 3110615452

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The book will benefit a reader with a background in physical sciences and applied mathematics interested in the mathematical models of genetic evolution. In the first chapter, we analyze several thought experiments based on a basic model of stochastic evolution of a single genomic site in the presence of the factors of random mutation, directional natural selection, and random genetic drift. In the second chapter, we present a more advanced theory for a large number of linked loci. In the third chapter, we include the effect of genetic recombination into account and find out the advantage of sexual reproduction for adaptation. These models are useful for the evolution of a broad range of asexual and sexual populations, including virus evolution in a host and a host population.


One-Locus and Multi-Locus Theory and Recombination

One-Locus and Multi-Locus Theory and Recombination

Author: Igor M. Rouzine

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-11-23

Total Pages: 207

ISBN-13: 3110608197

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The book will benefit a reader with a background in physical sciences and applied mathematics interested in the mathematical models of genetic evolution. In the first chapter, we analyze several thought experiments based on a basic model of stochastic evolution of a single genomic site in the presence of the factors of random mutation, directional natural selection, and random genetic drift. In the second chapter, we present a more advanced theory for a large number of linked loci. In the third chapter, we include the effect of genetic recombination into account and find out the advantage of sexual reproduction for adaptation. These models are useful for the evolution of a broad range of asexual and sexual populations, including virus evolution in a host and a host population.


Recombination Variability and Evolution

Recombination Variability and Evolution

Author: A.B. Korol

Publisher: Springer Science & Business Media

Published: 1994-08-31

Total Pages: 384

ISBN-13: 9780412494109

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Using an interdisciplinary approach, the authors provide an adaptionist interpretation of the basic features of recombination, its evolutionary significance as a key process in reproduction and its importance in genetic mapping. The book synthesizes much recent information in the fields of evloutionary genetics of recombination, the analysis of genetic markers and breeding applications. The authors analyse recombination through a consideration of computer models, large Drosophila populations and an empirical approach to current theories. Practically-orientated readers will be interested in the discussion of a wide spectrum of mapping methods and the new algorithms proposed for genetic mapping of quantitative loci.


Population Genetics of Multiple Loci

Population Genetics of Multiple Loci

Author: Freddy B. Christiansen

Publisher:

Published: 2000-01-10

Total Pages: 392

ISBN-13:

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Population Genetics of Multiple Loci F. B. Christiansen University of Aarhus, Denmark "This is a very beautiful and powerful study of an area that Christiansen has dominated for many years." - Marcus Feldman, Stanford University, USA Population genetics thrives on the constant interaction between theoretical and empirical knowledge. In the first instance, population genetics was developed using one-locus, two-allele models for genetic variation. The simplicity of these models opened up theoretical developments in population and evolutionary genetics to biologists without specialist training in mathematics. Population genetics of multi-allelic loci is more complex and requires more mathematical insight, and its study is predominantly undertaken by mathematical biologists. Traditional formulations of multi-locus theory do not simplify by assuming two alleles per locus. In this elegant presentation the author provides a formulation of multi-locus population genetics that retains the simplicity of two-allele models. * Provides an accessible and natural extension of classical population genetics to multiple loci * Exposes the population genetic aspects of sexual reproduction * Describes the complexity of evolutionary interactions among genes * Provides the background for insight into the functioning of genetic algorithms applied in computer science * Written by a world leader in the field The book is divided into two main sections. Part I - Recombination and Segregation - includes coverage of random mating, inbreeding, migration and mixing. Part II - Selection - covers numerous phenomena involving natural selection including viability, fertility, mutation and migration. The author has successfully presented the theory in a way that is intelligible to anyone with a reasonably good background in basic mathematics and is devoted to learning multiple loci population genetics. The text is primarily aimed at advanced undergraduate and postgraduate students and researchers interested in genetics and population biology. It is also essential reading for those working or researching in biomathematics and adaptive computing.


Genetic Recombination

Genetic Recombination

Author: Alan S. Waldman

Publisher: Springer Science & Business Media

Published: 2008-02-03

Total Pages: 259

ISBN-13: 1592597610

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Genetic recombination, in the broadest sense, can be defined as any process in which DNA sequences interact and undergo a transfer of information, producing new “recombinant” sequences that contain information from each of the original molecules. All organisms have the ability to carry out recombination, and this striking universality speaks to the essential role recombination plays in a variety of biological processes fundamentally important to the maintenance of life. Such processes include DNA repair, regulation of gene expression, disease etiology, meiotic chromosome segregation, and evolution. One important aspect of recombination is that it typically occurs only between sequences that display a high degree of sequence identity. The stringent requirement for homology helps to ensure that, under normal circumstances, a cell is protected from deleterious rearrangements since a swap of genetic information between two nearly identical sequences is not expected to dramatically alter a genome. Recombination between dissimilar sequences, which does happen on occasion, may have such harmful consequences as chromosomal translocations, deletions, or inversions. For many organisms, it is also important that recombination rates are not too high lest the genome become destabilized. Curiously, certain organisms, such as the trypanosome parasite, actually use a high rate of recombination at a particular locus in order to switch antigen expression continually and evade the host immune system effectively.


Human Population Genetics

Human Population Genetics

Author: P.P. Majumder

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 558

ISBN-13: 1461529700

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J. B. S. Haldane, R. A. Fisher and Sewall Wright simultaneously, and largely independently, laid the foundations of population genetics and the mathematical theory of evolution. Hal dane was born on November 5, 1892. Although he primarily worked at the University College London (UCL), in 1957 he resigned from the UCL and joined the Indian Statistical Institute, Calcutta (India) as a Research Professor. In celebration of his birth centenary, the Indian Statistical Institute organized an International Conference on Human Genetics from 15 to 19 December, 1992. The prime motive in holding this Conference was to bring together a group of scientists - geneticists, anthropologists, clinicians and statisticians - to evaluate the impact of Haldane's contributions to various areas of human genetics, and also to review recent developments in the subject. Session and lecture themes were so chosen that they covered areas theoretical and applied, classical and emerging. Speakers were then identified and invited to deliver lectures on these themes. Manuscripts of all invited presentations and a selected number of contributed presentations were considered for inclusion in this Proceed ings Volume. Each manuscript was reviewed by at least one Conference participant, which resulted in revision of several manuscripts and rejection of some. This volume is a collection of the manuscripts which have been 'accepted' after the review-process. The Conference began with the "J. B. S. Haldane Centenary Lecture" delivered by C. R. Rao.


Development of Microbial Ecological Theory: Stability, Plasticity, and Evolution of Microbial Ecosystems

Development of Microbial Ecological Theory: Stability, Plasticity, and Evolution of Microbial Ecosystems

Author: Shin Haruta

Publisher: Frontiers Media SA

Published: 2017-06-01

Total Pages: 158

ISBN-13: 2889451690

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“How can we develop microbial ecological theory?” The development of microbial ecological theory has a long way to reach its goal. Advances in microbial ecological techniques provide novel insights into microbial ecosystems. Articles in this book are challenging to determine the central and general tenets of the ecological theory that describes the features of microbial ecosystems. Their achievements expand the frontiers of current microbial ecology and propose the next step. Assemblage of these diverse articles hopefully helps to go on this long journey with many avenues for advancement of microbial ecology.


Introduction to Bioinformatics

Introduction to Bioinformatics

Author: Stephen A. Krawetz

Publisher: Springer Science & Business Media

Published: 2003-01-31

Total Pages: 776

ISBN-13: 9781588290649

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CD-ROM contains: chapter illustrations -- full and trial versions of programs.