Some Mathematical Models from Population Genetics

Some Mathematical Models from Population Genetics
Title Some Mathematical Models from Population Genetics PDF eBook
Author Alison Etheridge
Publisher Springer Science & Business Media
Pages 129
Release 2011-01-07
Genre Mathematics
ISBN 3642166318

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This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.

Some Mathematical Models of Population Genetics

Some Mathematical Models of Population Genetics
Title Some Mathematical Models of Population Genetics PDF eBook
Author Ebbe Thue Poulsen
Publisher
Pages
Release 1977
Genre
ISBN

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Some Mathematical Questions in Biology

Some Mathematical Questions in Biology
Title Some Mathematical Questions in Biology PDF eBook
Author Alan Hastings
Publisher American Mathematical Soc.
Pages 136
Release 1989-12-31
Genre Science
ISBN 9780821897157

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Population biology has had a long history of mathematical modeling. The 1920s and 1930s saw major strides with the work of Lotka and Volterra in ecology and Fisher, Haldane, and Wright in genetics. In recent years, much more sophisticated mathematical techniques have been brought to bear on questions in population biology. Simultaneously, advances in experimental and field work have produced a wealth of new data. While this growth has tended to fragment the field, one unifying theme is that similar mathematical questions arise in a range of biological contexts. This volume contains the proceedings of a symposium on Some Mathematical Questions in Biology, held in Chicago in 1987. The papers all deal with different aspects of population biology, but there are overlaps in the mathematical techniques used; for example, dynamics of nonlinear differential and difference equations form a common theme. The topics covered are cultural evolution, multilocus population genetics, spatially structured population genetics, chaos and the dynamics of epidemics, and the dynamics of ecological communities.

Handbook of Statistical Genomics

Handbook of Statistical Genomics
Title Handbook of Statistical Genomics PDF eBook
Author David J. Balding
Publisher John Wiley & Sons
Pages 1828
Release 2019-07-09
Genre Science
ISBN 1119429250

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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.

From Genetics to Mathematics

From Genetics to Mathematics
Title From Genetics to Mathematics PDF eBook
Author Miroslaw Lachowicz
Publisher World Scientific
Pages 242
Release 2009
Genre Science
ISBN 9812837256

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This volume contains pedagogical and elementary introductions to genetics for mathematicians and physicists as well as to mathematical models and techniques of population dynamics. It also offers a physicist''s perspective on modeling biological processes. Each chapter starts with an overview followed by the recent results obtained by authors. Lectures are self-contained and are devoted to various phenomena such as the evolution of the genetic code and genomes, age-structured populations, demography, sympatric speciation, the Penna model, Lotka-Volterra and other predator-prey models, evolutionary models of ecosystems, extinctions of species, and the origin and development of language. Authors analyze their models from the computational and mathematical points of view.

Foundations of Mathematical Genetics

Foundations of Mathematical Genetics
Title Foundations of Mathematical Genetics PDF eBook
Author Anthony William Fairbank Edwards
Publisher Cambridge University Press
Pages 138
Release 2000-01-13
Genre Science
ISBN 9780521775441

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A definitive account of the origins of modern mathematical population genetics, first published in 2000.

Mathematical Population Genetics 1

Mathematical Population Genetics 1
Title Mathematical Population Genetics 1 PDF eBook
Author Warren J. Ewens
Publisher Springer Science & Business Media
Pages 435
Release 2012-10-01
Genre Science
ISBN 038721822X

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This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.