Wavelet analysis of gene expression (WAGE)

The wavelet transform (WT) is the mathematical operator of choice for the analysis of nonstationary signals. At the same time, it is also a modelling operator that may be used to impose functional constraints on data to unveil hidden groupings and relationships. In this work, we apply the WT to the chromosomal sequences of gene expression values measured with microarray technology. The application of the wavelet operator aims to uncover clusters of genes that interact by vicinity, either because of a shared regulatory mechanism or because of common susceptibility to environmental factors. Application of the method to data on the expression of human brain genes in neuro-degeneration validates the technique and, at the same time, illustrates the potential of the method.

[1]  I. Daubechies Orthonormal bases of compactly supported wavelets , 1988 .

[2]  V. Uversky,et al.  Nuclear Localization of α-Synuclein and Its Interaction with Histones† , 2003 .

[3]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[4]  D. Donoho,et al.  Translation-Invariant DeNoising , 1995 .

[5]  S. Ishikawa,et al.  Expression imbalance map: a new visualization method for detection of mRNA expression imbalance regions. , 2003, Physiological genomics.

[6]  M. Caligiuri,et al.  Expression profiling reveals fundamental biological differences in acute myeloid leukemia with isolated trisomy 8 and normal cytogenetics. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[7]  V. Uversky,et al.  Nuclear localization of alpha-synuclein and its interaction with histones. , 2003, Biochemistry.

[8]  A. Haar Zur Theorie der orthogonalen Funktionensysteme , 1910 .

[9]  J. Mesirov,et al.  Molecular classification of cancer: class discovery and class prediction by gene expression monitoring. , 1999, Science.

[10]  Shuichi Tsutsumi,et al.  Distinction in gene expression profiles of oligodendrogliomas with and without allelic loss of 1p , 2002, Oncogene.

[11]  G. Church,et al.  Systematic determination of genetic network architecture , 1999, Nature Genetics.

[12]  W. Wong,et al.  Transitive functional annotation by shortest-path analysis of gene expression data , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[13]  M. Graeber,et al.  CR3/43, a marker for activated human microglia: application to diagnostic neuropathology , 1994, Neuropathology and applied neurobiology.

[14]  D. Botstein,et al.  Cluster analysis and display of genome-wide expression patterns. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[15]  D. Donoho,et al.  Translation-Invariant De-Noising , 1995 .