Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-02-15
Proc. Natl. Acad. Sci. 98, 1693-1698 (2001)
Physics
Condensed Matter
Statistical Mechanics
REVTex, 3 figures
Scientific paper
10.1073/pnas.98.4.1693
We describe the time evolution of gene expression levels by using a time translational matrix to predict future expression levels of genes based on their expression levels at some initial time. We deduce the time translational matrix for previously published DNA microarray gene expression data sets by modeling them within a linear framework using the characteristic modes obtained by singular value decomposition. The resulting time translation matrix provides a measure of the relationships among the modes and governs their time evolution. We show that a truncated matrix linking just a few modes is a good approximation of the full time translation matrix. This finding suggests that the number of essential connections among the genes is small.
Banavar Jayanth R.
Cieplak Marek
Fedoroff Nina V.
Holter Neal S.
Maritan Amos
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