Resultants in Genetic Linkage Analysis

Details Resultants in Genetic Linkage Analysis Resultants in Genetic Linkage Analysis

2004-05-01

arxiv.org/abs/q-bio/0405001v2

Biology

Quantitative Biology

Quantitative Methods

To appear in the Journal of Symbolic Computation, special issue on Computational Algebraic Statistics. 16 pages, 3 figures

Scientific paper

Statistical models for genetic linkage analysis of k-locus diseases are k-dimensional subvarieties of a (3^k-1)-dimensional probability simplex. We determine the algebraic invariants of these models with general characteristics for k=1, in particular we recover, and generalize, the Hardy-Weinberg curve. For k = 2, the invariants are presented as determinants of 32x32-matrices of linear forms in 9 unknowns, a suitable format for computations with numerical data.

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