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Activity Number:
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289
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Type:
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Contributed
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Date/Time:
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Wednesday, August 14, 2002 : 8:30 AM to 10:20 AM
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Sponsor:
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Biometrics Section*
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| Abstract - #300995 |
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Title:
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An Algebraic Extension of Hardy-Weinberg law: Case I. Multiple Allelism
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Author(s):
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Teng Weng*+
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Affiliation(s):
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Food and Drug Administration
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Address:
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1350 Piccard Dr. HFZ-542, Rockville, Maryland, 20850, USA
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Keywords:
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genetic system ; multiple allelism ; linear algebra
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Abstract:
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By constructing a linear algebra spanned by a natural basis consisting of a set of identifiable genetic types in a given genetic system, the composition of a "population" can simply be represented by a convex combination of the basic genetic types in the system. The successive generations descending from a given initial population in the system can thus be modeled by a sequence of "products" (including "powers") involving the initial population. Examining the algebraic behavior of such sequences helps to perceive the often unseen picture of the underlying genetic dynamics. In general, if the sequence in question converges to an "idempotent element," then the sequence is said to be in Hardy-Weinberg equilibrium in an extended sense. Case I in this talk uses a multiple allelic system to illustrate the theory. Further complex cases will be introduced in the future.
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- The address information is for the authors that have a + after their name.
- Authors who are presenting talks have a * after their name.
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