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Vulnerability to Asthma
Using the genome-wide screening data of the CSGA (226 families, 1'461 genotyped subjects,
323 marker loci) and Hutterite studies (129 families, 690 genotyped subjects, 365 marker loci)
we applied a genetic similarity function in order to quantify the inter-individual genetic
distances d(Xi,Xj) between feature vectors Xi, Xj made up by the allelic patterns of subjects
i, j with respect to loci L1, L2,.. Ln. Based on this similarity function, we structurally
decomposed the genetic diversity of the CSGA population in order to address the question of
ethnicity-related asthma vulnerability for genetically homogenous CSGA subgroups. The question
of ethnicity-independent asthma vulnerability was investigated with all CSGA families as
training and the Hutterite families as replication samples.
Oligogenic Models with Interactions
We evaluated the between-sib similarities which were expected to deviate from "0.5" in
affected sib pairs if the region of interest contained markers close to disease-causing genes.
The reference value "0.5" was derived by determining the parents-offspring similarities which
are always "0.5", irrespective of the affection status of parents and offspring. We found 18
vulnerability loci on chromosomes 1, 3, 4, 5, 6, 8, 12, 13 and 14, which were remarkably
reproducible in the CSGA and the Hutterite data and constituted an ethnicity-independent
oligogenic model.
Ethnicity-Independent Vulnerability
Treating the genome as a single entity we subdivided the genetic map, implicitly defined by
the M marker loci, into m segments Si each including 10 markers (i=1,2,.. m). Each segment Si
was then systematically combined with each segment Sj into a feature vector of length 20 (i≠j),
thus enabling the detection of interactions between any two loci. Based on the 20-dimensional
feature vectors and a set-theoretical similarity function we determined the distribution of
parent-offspring similarities, the distribution of between-sib similarities of affected sib
pairs, and the distribution of between-sib similarities of unaffected sib pairs. Subsequently,
the signal detection algorithm looked for significant differences between the parent-offspring
similarities and the between-sib similarities of affected sib pairs under the constraint that
no such differences showed up between the parent-offspring similarities and the between-sib
similarities of unaffected sib pairs. Those loci that contributed significantly to deviations
in the expected values of genetic similarity constituted an oligogenic model.
References
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Berger M, Stassen HH, Köhler K, Krane V, Mönks D, Wanner C, Hoffmann K, Hoffmann MM, Zimmer M,
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Genetic vector space spanned by 20 polymorphic markers on chromosomes 6, 11 and 22 reveals
differences between ethnic groups: circles designate Afro Americans (n=141), triangles NonAfro
Americans (n=111), and squares Swiss subjects (n=257). Subjects are projected onto the hyperplane
defined through the eigenvectors associated with the 2 largest eigenvalues.
Please note: population stratification can be a critically important issue in genetic studies.
For example, adverse side effects under drug treatment, the
inter-individual variation in dose, blood-level, and weight gain, are ethnicity-specific.
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