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dc.contributor.advisor Kimmel, Marek
dc.creatorPankratz, Vernon Shane
dc.date.accessioned 2009-06-04T08:14:47Z
dc.date.available 2009-06-04T08:14:47Z
dc.date.issued 1999
dc.identifier.urihttps://hdl.handle.net/1911/19413
dc.description.abstract By studying the rate of recombination between genetic markers and disease genes with linkage analysis, scientists have successfully mapped the locations of disease-influencing genes to within one centiMorgan. However, one centiMorgan corresponds to a sequence of about one million base pairs of DNA, which is prohibitively large for a physical search for a specific gene. Therefore, other genetic mapping techniques are needed to define search regions that are small enough for physical mapping techniques to be feasible. One such method is called linkage disequilibrium mapping. Linkage disequilibrium can serve as a complement, or even an alternative, to linkage analysis. It is capable of estimating genetic distances that are as small as tens of kilobases of DNA, a great improvement over the resolution of linkage analysis. However, one must describe the joint transmission of disease genes and linked marker loci through many generations in order to use linkage disequilibrium for genetic mapping purposes. This thesis examines two classes of population models, Galton-Watson branching processes and Moran/Coalescent models, within the framework of linkage disequilibrium. That is, it uses moments of allele frequencies derived from these models to form approximate likelihood functions for the recombination rate. These likelihoods make it possible to estimate the location of a disease-influencing mutation, particularly when the likelihoods from several markers within a small region of DNA are combined to form a composite likelihood. Application of this composite likelihood methodology to both simulated and published data demonstrates that linkage disequilibrium mapping can be successfully used for fine-scale mapping purposes.
dc.format.extent 255 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectGenetics
Statistics
dc.title Stochastic models and linkage disequilibrium: Estimating the recombination coefficient
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Statistics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Pankratz, Vernon Shane. "Stochastic models and linkage disequilibrium: Estimating the recombination coefficient." (1999) Diss., Rice University. https://hdl.handle.net/1911/19413.


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