Singular Spectrum Analysis of Gene Expression Profiles of Early Drosophila embryo: Exponential-in-Distance Patterns

We present investigation of gene expression profiles by means of singular spectrum analysis (SSA). The biological problem under investigation is the decomposition of bicoid protein profiles of Drosophila melanogaster into the sum of a signal and noise, where the former consists of an exponential-in-distance pattern and is close to constant nonspecific component, or "background." The signal processing problems addressed are (i) trend extraction from a noisy signal, (ii) batch processing of similar data, and (iii) analytical approximation of the signal components by the sum of exponential and constant-like functions. The proposed methods are evaluated on the given 17 series.