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

PLoS One. 2013 Jun 19;8(6):e65143. doi: 10.1371/journal.pone.0065143. Print 2013.

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.

Publication types

  • Validation Study

MeSH terms

  • Animals
  • Animals, Genetically Modified
  • Body Patterning* / genetics
  • Drosophila Proteins / genetics
  • Drosophila Proteins / metabolism*
  • Drosophila melanogaster* / embryology
  • Drosophila melanogaster* / genetics
  • Drosophila melanogaster* / ultrastructure
  • Embryo, Nonmammalian
  • Embryonic Development / genetics
  • Female
  • Fluorescence
  • Microscopy, Confocal / methods
  • Oogenesis / genetics
  • Oogenesis / physiology*
  • Photochemical Processes
  • Spectrometry, Fluorescence / methods
  • Tissue Distribution
  • Transforming Growth Factor alpha / genetics
  • Transforming Growth Factor alpha / metabolism*

Substances

  • Drosophila Proteins
  • Transforming Growth Factor alpha
  • grk protein, Drosophila

Grants and funding

This work was supported by the National Science Council of the Republic of China under Contract No. NSC 100-2112-M-182-003-MY2. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.