dorsal/arxiv
View SchemaResultants in Genetic Linkage Analysis
| Authors | Ingileif B. Hallgrimsdottir, Bernd Sturmfels |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0405001 |
| URL | https://arxiv.org/abs/q-bio/0405001 |
Abstract
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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"abstract": "Statistical models for genetic linkage analysis of k-locus diseases are\nk-dimensional subvarieties of a (3^k-1)-dimensional probability simplex. We\ndetermine the algebraic invariants of these models with general characteristics\nfor k=1, in particular we recover, and generalize, the Hardy-Weinberg curve.\nFor k = 2, the invariants are presented as determinants of 32x32-matrices of\nlinear forms in 9 unknowns, a suitable format for computations with numerical\ndata.",
"arxiv_id": "q-bio/0405001",
"authors": [
"Ingileif B. Hallgrimsdottir",
"Bernd Sturmfels"
],
"categories": [
"q-bio.QM",
"math.ST",
"stat.TH"
],
"title": "Resultants in Genetic Linkage Analysis",
"url": "https://arxiv.org/abs/q-bio/0405001"
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