Resultants in genetic linkage analysis

• Autores: Bernd Sturmfels, Ingileif B. Hallgrímsdóttir
• Localización: Journal of symbolic computation, ISSN 0747-7171, Vol. 41, Nº 2, 2006, págs. 125-137
• Idioma: inglés
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• Resumen

  • 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.