Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-26T21:09:51.403Z Has data issue: false hasContentIssue false
  • English
  • Français

Biometric and chromosome algebras

Part of: Other nonassociative rings and algebras

Published online by Cambridge University Press:  14 July 2016

Philip Holgate
Philip Holgate*
Affiliation:
Birkbeck College
*
∗Postal address: Department of Mathematics and Statistics, Birkbeck College, University of London, Malet St, London WC1E 7HX, UK.
Get access Rights & Permissions [Opens in a new window]

Abstract

This note continues the development of the infinite-dimensional genetic algebra approach to problems of population genetics. Two algebras are studied. One describes the familiar problem of a quantitative characteristic, and the other provides a way of treating the whole chromosome as an entity.

Keywords

POPULATION GENETICSGENETIC ALGEBRABIOMETRICAL GENETICSRECOMBINATION

MSC classification

Primary: 17D92: Genetic algebras
Secondary: 92D10: Genetics
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 2 , June 1992 , pp. 247 - 254
Copyright
Copyright © Applied Probability Trust 1992 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Holgate, P. (1979) Canonical multiplication in the genetic algebra for linked loci. Linear Alg. Appl. 26, 281–287.CrossRefGoogle Scholar
[2] Holgate, P. (1981) Population algebras. J. R. Statist. Soc. B43, 1–19.Google Scholar
[3] Holgate, P. (1984) Free non-associative principal train algebras. Proc. Edinburgh Math. Soc. (2) 27, 313–319.Google Scholar
[4] Holgate, P. (1989) Some infinite dimensional genetic algebras. Cahiers Math. 38, 35–45.Google Scholar
[5] Reiersøl, O. (1962) Genetic algebras studied recursively and by means of differential operators. Math. Scandinavica 10, 25–44.CrossRefGoogle Scholar
[6] Ringwood, G. A. (1985) Hypergeometric algebras and mendelian genetics. Nieuw Arch. Wiskunde (4) 3, 69–83.Google Scholar
[7] Ringwood, G. A. (1985) The structure of Poisson algebras. IMA J. Math. Appl. Med. Biol. 2, 69–73.CrossRefGoogle Scholar
[8] Wörz-Busekros, A. (1980) Algebras in Genetics. Lecture Notes in Biomathematics 36, Springer-Verlag, New York.Google Scholar