Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
Volume 104, Issue 47, Pages 18371-18376Publisher
NATL ACAD SCIENCES
DOI: 10.1073/pnas.0709146104
Keywords
cell cycle; DNA replication initiation; N-mode singular value decomposition; oxidative stress; yeast Saccharomyces cerevisiae
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Funding
- NHGRI NIH HHS [HG004302, R01 HG004302] Funding Source: Medline
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We describe the use of a higher-order singular value decomposition (HOSVD) in transforming a data tensor of genes x x-settings,that is, different settings of the experimental variable x x Y-settings, which tabulates DNA microarray data from different studies, to a core tensor of eigenarrays x x-eigengenes x y-eigengenes. Reformulating this multilinear HOSVD such that it decomposes the data tensor into a linear superposition of all outer products of an eigenarray, an x- and a y-eigengene, that is, rank-1 subtensors, we define the significance of each subtensor in terms of the fraction of the overall information in the data tensor that it captures. We illustrate this HOSVD with an integration of genome-scale mRNA expression data from three yeast cell cycle time courses, two of which are under exposure to either hydrogen peroxide or menadione. We find that significant subtensors represent independent biological programs or experimental phenomena. The picture that emerges suggests that the conserved genes YKU70, MRE11, AIF1, and ZWF1, and the processes of retrotransposition, apoptosis, and the oxidative pentose phosphate pathway that these genes are involved in, may play significant, yet previously unrecognized, roles in the differential effects of hydrogen peroxide and menadione on cell cycle progression. A genome-scale correlation between DNA replication initiation and RNA transcription, which is equivalent to a recently discovered correlation and might be due to a previously unknown mechanism of regulation, is independently uncovered.
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