title: Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein.
abstract: 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.
authors.affiliation: Graduate Institute of Electro-Optical Engineering and Department of Electronic Engineering, Chang Gung University, Kwei-Shan, Tao-Yuan 333, Taiwan, Republic of China.
authors.forename: Jen-Cheng
authors.initials: JC
authors.lastname: Wang
authors.forename: Pei-Yu
authors.initials: PY
authors.lastname: Wang
authors.forename: Hung-Ing
authors.initials: HI
authors.lastname: Chen
authors.forename: Kai-Ling
authors.initials: KL
authors.lastname: Wu
authors.forename: Li-Mei
authors.initials: LM
authors.lastname: Pai
authors.forename: Tzer-En
authors.initials: TE
authors.lastname: Nee
mesh_terms: D000818:Animals; D030801:Animals, Genetically Modified; D019521:Body Patterning / Q000235:genetics; D029721:Drosophila Proteins / Q000235:genetics / Q000378:metabolism*; D004331:Drosophila melanogaster / Q000196:embryology / Q000235:genetics / Q000648:ultrastructure; D004625:Embryo, Nonmammalian; D047108:Embryonic Development / Q000235:genetics; D005260:Female; D005453:Fluorescence; D018613:Microscopy, Confocal / Q000379:methods; D009866:Oogenesis / Q000235:genetics / Q000502:physiology*; D055668:Photochemical Processes; D013050:Spectrometry, Fluorescence / Q000379:methods; D014018:Tissue Distribution; D016211:Transforming Growth Factor alpha / Q000235:genetics / Q000378:metabolism*
chemical_list: D029721:Drosophila Proteins; D016211:Transforming Growth Factor alpha; C083730:grk protein, Drosophila