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The genetic algebra for polyploidy with an arbitrary amount of double reduction

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Summary

A genetic algebra is set up for a single locus with any degree of autopolyploid inheritance and any number of alleles. The probability distribution of the number of zygotic genes which will be represented twice in a gamete may be specified arbitrarily. Chromosome and chromatid segregation appear as special cases. A canonical basis is constructed for the algebra, and the train roots are found. Different choices of parameters are discussed for the description of the underlying biological situation.

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Authors and Affiliations

  1. Lehrstuhl für Biomathematik, Universität Tübingen, Auf der Morgenstelle 28, D-7400, Tübingen, Federal Republic of Germany

    Ivar Heuch

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  1. Ivar Heuch
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Additional information

Work supported by the Alexander von Humboldt Foundation.Present address: Department of Applied Mathematics, University of Bergen, N-5014 Bergen, Norway.

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Heuch, I. The genetic algebra for polyploidy with an arbitrary amount of double reduction. J. Math. Biology 6, 343–352 (1978). https://doi.org/10.1007/BF02462999

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  • DOI: https://doi.org/10.1007/BF02462999

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