Several new risk factors for Crohn's disease have been identified in recent genome-wide association studies. To advance gene discovery further we have combined the data from three studies (a total of 3,230 cases and 4,829 controls) and performed replication in 3,664 independent cases with a mixture of population-based and family-based controls. The results strongly confirm 11 previously reported loci and provide genome-wide significant evidence for 21 new loci, including the regions containing STAT3, JAK2, ICOSLG, CDKAL1, and ITLN1. The expanded molecular understanding of the basis of disease offers promise for informed therapeutic development. NIH-PA Author ManuscriptNIH-PA Author Manuscript NIH-PA Author ManuscriptThe first genome-wide association studies (GWAS) have identified many common variants associated with complex diseases, and have rapidly expanded our knowledge of the genetic architecture of these traits. Progress in Crohn's disease (CD), a common idiopathic inflammatory bowel disease (IBD) with high heritability (λ s ∼ 20-35), has been especially striking, with recent GWAS publications increasing the number of confirmed associated loci from two to more than ten 1 . The results have identified new pathogenic mechanisms of IBD and promise to advance fundamentally our understanding of CD biology. These recent discoveries highlight, for instance, the key importance of autophagy and innate immunity 2-5 as determinants of the dysregulated host-bacterial interactions implicated in disease pathogenesis. Furthermore, genetic associations have been shown to be shared between CD and other auto-inflammatory conditions -for example, IL23R variants 6 are also associated with psoriasis 7 and ankylosing spondylitis 8 , and PTPN2 variants with type 1 diabetes 3,5 . As in other complex diseases, restricted sample sizes have resulted in early CD studies focusing on only the strongest effects, which turn out to explain only a fraction of the heritability of disease.We recently published three separate GWA scans for CD in European-derived populationsthe details of which are shown in Table 1 4,5,9 . Motivated by the need for larger datasets to improve power to detect loci of modest effect, we carried out a genome-wide meta-analysis from our three CD scans. These analyses, together with a replication study in an equivalently sized, independent panel, have enabled us to identify at genome-wide levels of significance 21 novel Crohn's disease susceptibility genes and loci. This brings the total number of independent loci conclusively associated with Crohn's disease to more than 30 and provides unprecedented insight into both CD pathogenesis as well as the general genetic architecture of a multifactorial disease. Results Meta-analysis of three genome-wide association scansThe combined GWAS study samples (Table 1) consisted of 3,230 cases and 4,829 controls, all of European descent. While the individual scans did identify new risk factors, they were only well-powered to discover common alleles with odds-ratios (ORs) a...

To identify novel susceptibility loci for Crohn disease (CD), we undertook a genome-wide association study with more than 300,000 SNPs characterized in 547 patients and 928 controls. We found three chromosome regions that provided evidence of disease association with p-values between 10−6 and 10−9. Two of these (IL23R on Chromosome 1 and CARD15 on Chromosome 16) correspond to genes previously reported to be associated with CD. In addition, a 250-kb region of Chromosome 5p13.1 was found to contain multiple markers with strongly suggestive evidence of disease association (including four markers with p < 10−7). We replicated the results for 5p13.1 by studying 1,266 additional CD patients, 559 additional controls, and 428 trios. Significant evidence of association (p < 4 × 10−4) was found in case/control comparisons with the replication data, while associated alleles were over-transmitted to affected offspring (p < 0.05), thus confirming that the 5p13.1 locus contributes to CD susceptibility. The CD-associated 250-kb region was saturated with 111 SNP markers. Haplotype analysis supports a complex locus architecture with multiple variants contributing to disease susceptibility. The novel 5p13.1 CD locus is contained within a 1.25-Mb gene desert. We present evidence that disease-associated alleles correlate with quantitative expression levels of the prostaglandin receptor EP4, PTGER4, the gene that resides closest to the associated region. Our results identify a major new susceptibility locus for CD, and suggest that genetic variants associated with disease risk at this locus could modulate cis-acting regulatory elements of PTGER4.

We herein demonstrate that in the Holstein-Friesian dairy cattle population, microsatellites are as polymorphic on the X chromosome as on the autosomes but that the level of linkage disequilibrium between these markers is higher on the X chromosome than on the autosomes. The latter observation is not compatible with the small male-to-female ratio that prevails in this population and results in a higher gonosomal than autosomal effective population size. It suggests that the X chromosome undergoes distinct selective or mutational forces. We describe and characterize a novel Markovian approach to exploit this linkage disequilibrium to compute the probability that two chromosomes are identical-by-descent conditional on flanking marker data. We use the ensuing probabilities in a restricted maximum-likelihood approach to search for quantitative trait loci (QTL) affecting 48 traits of importance to the dairy industry and provide evidence for the presence of QTL affecting 5 of these traits on the bovine X chromosome.

We study the existence of natural and projectively equivariant quantizations for differential operators acting between order 1 vector bundles over a smooth manifold M . To that aim, we make use of the Thomas-Whitehead approach of projective structures and construct a Casimir operator depending on a projective Cartan connection. We attach a scalar parameter to every space of differential operators, and prove the existence of a quantization except when this parameter belongs to a discrete set of resonant values.

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