Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T21:15:35.595Z Has data issue: false hasContentIssue false
  • English
  • Français

An application of the generating function to the solution of a genetic problem

Published online by Cambridge University Press:  14 July 2016

Basil Diamantis
Basil Diamantis*
Affiliation:
University of Wisconsin, Madison
Get access Rights & Permissions [Opens in a new window]

Abstract

An application of the generating function to genetics has provided the probability distribution of homozygotes obtained by self-fertilization, in the case of two linked genetic loci. The individual probabilities are functions of the frequency of genetic recombination between the two loci.

Keywords

GENERATING FUNCTIONFREQUENCY OF HOMOZYGOTESSELF-FERTILIZATIONLINKED GENETIC LOCI
Type
Short Communications
Information
Journal of Applied Probability , Volume 10 , Issue 2 , June 1973 , pp. 437 - 440
Copyright
Copyright © Applied Probability Trust 1973 

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

Diamantis, B. (1967) A mathematical investigation of the induced mutation rate which is optimum for genetic improvement. Ph.D. dissertation, p. 125. University of Minnesota, St. Paul, Minnesota.Google Scholar
Feller, W. (1960) An Introduction to Probability Theory and its Applications. Wiley, New York.Google Scholar
Haldane, J. B. S. and Waddington, C. H. (1931) Inbreeding and linkage. Genetics 16, 357–374.CrossRefGoogle ScholarPubMed
Karlin, S. (1968) Equilibrium behavior of population genetic models with non-random mating. J. Appl. Prob. 5, 231–313.Google Scholar
Kimura, M. (1963) A probability method for treating inbreeding systems, especially with linked genes. Biometrics 19, 1–17.Google Scholar
Robbins, R. B. (1918) Some applications of mathematics to breeding problems. III. Genetics 3, 375–389.Google Scholar
Wright, S. (1933b) Inbreeding and recombination. Proc. Nat. Acad. Sci. 19, 420–433.Google Scholar