2 edition of **Diffusion models in population genetics.** found in the catalog.

Diffusion models in population genetics.

Motoo Kimura

- 136 Want to read
- 37 Currently reading

Published
**1964**
by Methuen in London
.

Written in English

- Population genetics -- Mathematical models.

**Edition Notes**

Series | Methuen"s monographs in applied probability and statistics. Supplementary review series in applied probability -- v.2., Methuen"s monographs on applied probability and statistics -- v. 2. |

The Physical Object | |
---|---|

Pagination | 56 p. |

Number of Pages | 56 |

ID Numbers | |

Open Library | OL14074328M |

population dynamics, effectively introducing reaction-diffusion equations into theoretical ecology, paralleling Fisher’s earlier contribution to genetics. Thirdly, Skellam in particular examined reaction-diffusion models for the population density of a species in a bounded. This book will appeal to graduate students and researchers interested in theoretical population genetics and evolution. Reviews of the first edition: Ewens book will be an important reference to anyone interested in the mathematical aspects of population genetics, not only to those actually doing it, but also to anyone trying to bridge the now.

Fisher Models -- Infinitely Many Alleles Models -- The Effective Population Size -- Frequency-Dependent Selection -- Two Loci -- 4 Diffusion Theory -- Introduction -- The Forward and Backward Kolmogorov Equations -- Fixation Probabilities -- Absorption Time Properties -- The Stationary Distribution -- Demic diffusion, as opposed to trans-cultural diffusion, is a demographic term referring to a migratory model, developed by Luigi Luca Cavalli-Sforza, of population diffusion into and across an area that had been previously uninhabited by that group, possibly, but not necessarily, displacing, replacing, or intermixing with an existing population (such as has been suggested for the spread of.

Population genetics began as a reconciliation of Mendelian inheritance and biostatistics models. A key step was the work of the British biologist and statistician Ronald a series of papers starting in and culminating in his book The Genetical Theory of Natural Selection, Fisher showed that the continuous variation measured by the biometricians could be produced by the. IN November we lost one of the most important scientists of this century, Gustave Malécot. He was, in the best sense of the words, a great man. His contributions to science and mathematics began 60 years ago and continued until his death. His contributions to mathematical population geneticsCited by:

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Diffusion Models in Population Genetics Paperback – January 1, See all 2 formats and editions Hide other formats and editions. Price New from Used from Paperback "Please retry" — — $ Paperback from $ Manufacturer: Methuen & Co. You have printed the following article: Diffusion Models in Population Genetics Motoo Kimura Journal of Applied Probability, Vol.

1, No. (Dec., ), pp. Additional Physical Format: Online version: Kimura, Motoo, Diffusion models in population genetics. London, Methuen [] (OCoLC) Document Type.

Details about Diffusion Models in Population Genetics by Kimura, Motoo. Diffusion Models in Population Genetics by Kimura, Motoo. Item Information. Condition: Very Good. Price: Very Good: A book that does not look new and has been read but is in excellent condition.

No obvious damage to the cover, with the dust jacket (if applicable Seller Rating: % positive. It is highly accessible and in the meantime it goes pretty far as it ends up talking about the application of diffusion equation in population genetics (Kimura's work among others).

This book presents some important models in population genetics but as it aims to provide the tools for mathematical modelling in ecology and evolution it may under. Random influences of various factors of evolution, which may be highly important in population life, are not covered by deterministic analysis of population genetics models.

Therefore, stochastic (probability) models arise quite naturally in population genetics, reflecting conditions which are not ‘exotic’.Author: Yuri M.

Svirezhev, Vladimir P. Passekov. Kimura M. () Diffusion Models of Population Genetics in the Age of Molecular Biology. In: Gani J. (eds) The Craft of Probabilistic Modelling.

Applied Probability Cited by: 2. Stochastic models in population genetics, which lead to diffusion equations, are considered.

A method for obtaining asymptotic expansions of the solutions of these equations is presented. A numerical method is presented to solve the diffusion equation for the random genetic drift that occurs at a single unlinked locus with two alleles.

The method was designed to conserve probability, and the resulting numerical solution represents a probability distribution whose total probability is unity. We describe solutions of the diffusion equation whose total probability is unity as Cited by: Diffusion Models of Population Genetics.

Pages *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis. ebook access is temporary and does not include ownership of the ebook.

Only valid for books with an ebook version. Springer Reference Works are not included. Alan R. Templeton, in Human Population Genetics and Genomics, Population genetics is the science of genetic variation within populations of organisms.

Population genetics is concerned with the origin, amount, frequency, distribution in space and time, and phenotypic significance of that genetic variation, and with the microevolutionary forces that influence the fate of genetic variation. T1 - Mathematical Models in Population Genetics.

AU - Neuhauser, C. PY - /5/9. Y1 - /5/9. N2 - Throughout the history of population genetics, mathematical models have played an important role in elucidating the effects of mutation and selection on the genetic diversity of by: 54 Diffusion models in population genetics with special reference to fixation time of molecular mutants under mutational pressure.

55 DNA and the neutral theory 56. In a broader biological perspective, the SPOMs belong to “island models,” which have played an important role not only in population and community ecology, but also in population genetics and evolutionary studies.

These models often allow a rigorous mathematical analysis, an. population genetics is probably factorization of simple polynomial expressions, which most people are taught in high school (and then, unfortunately, forget). The text can be criticized for not introducing the reader to empirical population ge-netics.

That would roughly double the length of the book File Size: 2MB. For an historical discussion on the use of diffusion equations in genetics I recommend Kimura’s review on the topic and Felsenstein free textbook on Theoretical Population Genetics.

For a technical account it is often recommended Warren Ewens classic text, but I’ve found more useful the recent manual by Otto and Day on mathematical models.

Book is in Very Good Condition. population 15 The stepping stone model of population structure and the decrease of genetic correlation with distance 16 Diffusion models in population genetics 17 A stochastic model concerning the maintenance of genetic variability in quantitative characters 18 Attainment of quasi linkage equilibrium when.

Population Genetics, Molecular Evolution, I would rather place his work with diffusion models as his most important contribution. This collection puts together the beautiful diffusion papers written by Kimura on the subjects of fixation probability, quantitative genetics and more -- including the hard-to-get work in Applied Probability.

5/5(2). An integro-PDE model from population genetics Article in Journal of Differential Equations (6)– March with 57 Reads How we measure 'reads'. A variety of stochastic models in population genetics, which lead to diffusion equations in several dimensions, are described.

Because these equations are difficult to solve, a ray method is presented for obtaining short time asymptotic solutions of by:.

Mathematical Models in Population Genetics. Nick Barton. Institute of Science and Technology Austria, Klosterneuburg, Austria We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from Author: Nick Barton, Alison Etheridge.

In the late s and early s, Motoo Kimura and Tomoko Ohta spearheaded the application of diffusion equations, first introduced into population Cited by: THE purpose here is to discuss the limits of theoretical population genetics.

This year-old field now sits close to the heart of modern biology. Theoretical population genetics is the framework for studies of human history (R eich et al. ) and the foundation for association studies, which aim to map the genes that cause human disease Cited by: