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Statistical Applications in Genetics and Molecular Biology

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The Cyclohedron Test for Finding Periodic Genes in Time Course Expression Studies

Jason Morton1 / Lior Pachter2 / Anne Shiu3 / Bernd Sturmfels4

1University of California, Berkeley

2University of California, Berkeley

3University of California, Berkeley

4University of California, Berkeley

Citation Information: Statistical Applications in Genetics and Molecular Biology. Volume 6, Issue 1, ISSN (Online) 1544-6115, ISSN (Print) 2194-6302, DOI: https://doi.org/10.2202/1544-6115.1286, August 2007

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The problem of finding periodically expressed genes from time course microarray experiments is at the center of numerous efforts to identify the molecular components of biological clocks. We present a new approach to this problem based on the cyclohedron test, which is a rank test inspired by recent advances in algebraic combinatorics. The test has the advantage of being robust to measurement errors, and can be used to ascertain the significance of top-ranked genes. We apply the test to recently published measurements of gene expression during mouse somitogenesis and find 32 genes that collectively are significant. Among these are previously identified periodic genes involved in the Notch/FGF and Wnt signaling pathways, as well as novel candidate genes that may play a role in regulating the segmentation clock. These results confirm that there are an abundance of exceptionally periodic genes expressed during somitogenesis. The emphasis of this paper is on the statistics and combinatorics that underlie the cyclohedron test and its implementation within a multiple testing framework.

Keywords: time course microarray; biological clock; somitogenesis; multiple testing

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