| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 403407 | Journal of Symbolic Computation | 2006 | 13 Pages |
Abstract
Statistical models for genetic linkage analysis of k locus diseases are k-dimensional subvarieties of a (3k−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 algebraic invariants are presented as determinants of 32×32-matrices of linear forms in nine unknowns, a suitable format for computations with numerical data.
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