Testing for nonlinearity in time series: the method of surrogate data
Conference proceedings on Interpretation of time series from nonlinear mechanical systems
Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital signal processing (3rd ed.): principles, algorithms, and applications
Physica D
Comparing the similarity of time-series gene expression using signal processing metrics
Computers and Biomedical Research
Analyzing time series gene expression data
Bioinformatics
Unbiased pattern detection in microarray data series
Bioinformatics
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There has been considerable interest in identifying biologically relevant genes from temporal microarray gene expression profiles using linear and nonlinear measures. The present study uses two distinct approaches namely: classical order zero-crossing count (ZCC) and Lempel-Ziv (LZ) complexity in identifying non-random patterns from temporal gene expression profiles. While the former captures the linear statistical properties of the time series such a power-spectrum, the latter has been used to capture nonlinear dynamical properties of gene expression profiles. The results presented elucidate that ZCC can perform better than LZ in identifying biologically relevant genes. The robustness of the findings are established on the given gene expression profiles as well as their noisy versions. The performance of these two techniques is demonstrated on publicly available yeast cell-cycle gene expression data. A possible explanation for the better performance of the ZCC over LZ complexity may be attributed to inherent cyclic patterns characteristic of the yeast cell-cycle experiment. Finally we discuss the biological relevance of new genes identified using ZCC not previously reported.