Information Geometry and Population Genetics

The Mathematical Structure of the Wright-Fisher Model

AvJulian Hofrichter,Jürgen Jost

Häftad, Engelska, 2018

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Beskrivning

The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner.

Produktinformation

Utgivningsdatum:2018-07-18
Mått:155 x 235 x 19 mm
Vikt:505 g
Format:Häftad
Språk:Engelska
Serie:Understanding Complex Systems
Antal sidor:320
Förlag:Springer International Publishing AG
ISBN:9783319848051

Utforska kategorier

Matematisk statistik inom Naturvetenskap och teknik
Biovetenskap inom Naturvetenskap och teknik
Medicinsk genetik inom Medicin

Mer om författaren

J. Jost: Studies of mathematics, physics, economics and philosophy; PhD and habilitation in mathematics (University of Bonn); professor for mathematics at Ruhr-University Bonn; since 1996 director at the MPI for Mathematics in the Sciences, Leipzig, and honorary professor at the University of Leipzig; external faculty member of the Santa Fe InstituteJ. Hofrichter: Studies of mathematics and physics in Heidelberg, Granada and Muenster/Westph., diploma in mathematics; graduate studies in mathematics in Leipzig, PhD 2014; postdoctoral researcher at the MPI for Mathematics in the Sciences, LeipzigT. D. Tran: Studies of mathematics in Hanoi (Vietnam), bachelor and master degree in mathematics; graduate studies in mathematics in Leipzig, PhD 2012; postdoctoral researcher at the MPI for Mathematics in the Sciences, Leipzig

Recensioner i media

“Information Geometry and Population Genetics masterfully explores the stochastic dynamics of the progressive distribution of alleles over generations through a geometric perspective on the traditional Wright-Fisher model. … The present book is a useful piece of literature for applied biologists with a fair understanding of calculus, who are looking toward the exploration of new dimensions in research on genetic evolution.” (Ranjita Pandey, Canadian Studies in Population, Vol. 45 (1-2), 2018)

Innehållsförteckning

1. Introduction.- 2. The Wright–Fisher model.- 3. Geometric structures and information geometry.- 4. Continuous approximations.- 5. Recombination.- 6. Moment generating and free energy functionals.- 7. Large deviation theory.- 8. The forward equation.- 9. The backward equation.- 10.Applications.- Appendix.- A. Hypergeometric functions and their generalizations.- Bibliography.