Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein

Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells. The (2×2) matrix representations resulting from the polarized tissue spe...

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Bibliographic Details
Published in:PloS one 2013-06, Vol.8 (6), p.e65143
Main Authors: Wang, Jen-Cheng, Wang, Pei-Yu, Chen, Hung-Ing, Wu, Kai-Ling, Pai, Li-Mei, Nee, Tzer-En
Format: Article
Language:English
Subjects:
Algebra
Analysis
Animals
Animals, Genetically Modified
Apoptosis
Biology
Body Patterning - genetics
Cell cycle
Computer Science
Consonants (speech)
Coordination compounds
Developmental biology
Dimensional analysis
Drosophila
Drosophila melanogaster - embryology
Drosophila melanogaster - genetics
Drosophila melanogaster - ultrastructure
Drosophila Proteins - genetics
Drosophila Proteins - metabolism
Embryo, Nonmammalian
Embryogenesis
Embryonic development
Embryonic Development - genetics
Embryonic growth stage
Embryos
Engineering
Epidermal growth factor
Female
Fluorescence
Gene expression
Gurken protein
Handbooks
Insects
Lie groups
Materials Science
Mathematical functions
Mathematics
Microscopy, Confocal - methods
Oogenesis
Oogenesis - genetics
Oogenesis - physiology
Photochemical Processes
Physics
Proteins
Science
Skewed distributions
Spectrometry, Fluorescence - methods
Spectrum analysis
Symmetry
Tissue Distribution
Transforming Growth Factor alpha - genetics
Transforming Growth Factor alpha - metabolism
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Summary:Lie group analysis of the photo-induced fluorescence of Drosophila oogenesis with the asymmetrically localized Gurken protein has been performed systematically to assess the roles of ligand-receptor complexes in follicle cells. The (2×2) matrix representations resulting from the polarized tissue spectra were employed to characterize the asymmetrical Gurken distributions. It was found that the fluorescence of the wild-type egg shows the Lie point symmetry X 23 at early stages of oogenesis. However, due to the morphogen regulation by intracellular proteins and extracellular proteins, the fluorescence of the embryogenesis with asymmetrically localized Gurken expansions exhibits specific symmetry features: Lie point symmetry Z 1 and Lie point symmetry X 1. The novel approach developed herein was successfully used to validate that the invariant-theoretical characterizations are consonant with the observed asymmetric fluctuations during early embryological development.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0065143