title: Shaped singular spectrum analysis for quantifying gene expression, with application to the early Drosophila embryo.
abstract: In recent years, with the development of automated microscopy technologies, the volume and complexity of image data on gene expression have increased tremendously. The only way to analyze quantitatively and comprehensively such biological data is by developing and applying new sophisticated mathematical approaches. Here, we present extensions of 2D singular spectrum analysis (2D-SSA) for application to 2D and 3D datasets of embryo images. These extensions, circular and shaped 2D-SSA, are applied to gene expression in the nuclear layer just under the surface of the Drosophila (fruit fly) embryo. We consider the commonly used cylindrical projection of the ellipsoidal Drosophila embryo. We demonstrate how circular and shaped versions of 2D-SSA help to decompose expression data into identifiable components (such as trend and noise), as well as separating signals from different genes. Detection and improvement of under- and overcorrection in multichannel imaging is addressed, as well as the extraction and analysis of 3D features in 3D gene expression patterns.
authors.affiliation: Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky Pr. 28, Peterhof, St. Petersburg 198504, Russia.
authors.forename: Alex
authors.identifier: 0000-0002-2317-8587
authors.initials: A
authors.lastname: Shlemov
authors.affiliation: Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky Pr. 28, Peterhof, St. Petersburg 198504, Russia.
authors.forename: Nina
authors.identifier: 0000-0003-1400-8209
authors.initials: N
authors.lastname: Golyandina
authors.affiliation: Mathematics Department, British Columbia Institute of Technology, 3700 Willingdon Avenue, Burnaby, BC, Canada V5G 3H2.
authors.forename: David
authors.initials: D
authors.lastname: Holloway
authors.affiliation: Computer Science and CEWIT, SUNY Stony Brook, 1500 Stony Brook Road, Stony Brook, NY 11794, USA ; The Sechenov Institute of Evolutionary Physiology & Biochemistry, Torez Pr. 44, St. Petersburg 194223, Russia.
authors.forename: Alexander
authors.identifier: 0000-0002-0509-6203
authors.initials: A
authors.lastname: Spirov
mesh_terms: D000818:Animals; D029721:Drosophila Proteins / Q000096:biosynthesis*; D004331:Drosophila melanogaster / Q000235:genetics* / Q000254:growth & development; D004625:Embryo, Nonmammalian; D047108:Embryonic Development / Q000235:genetics*; D020869:Gene Expression Profiling; D018507:Gene Expression Regulation, Developmental; D021621:Imaging, Three-Dimensional; D013057:Spectrum Analysis
chemical_list: D029721:Drosophila Proteins