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Analytical and Bioanalytical Chemistry

, Volume 400, Issue 2, pp 335–341 | Cite as

Lie group study of Raman spectra of the Gurken gradient in Drosophila oogenesis

  • Jen-Cheng Wang
  • Pei-Yu Wang
  • Ruo-Rung Huang
  • Wei-Chieh Lin
  • Chia-Hui Fang
  • Li-Mei Pai
  • Tzer-En NeeEmail author
Original Paper
  • 139 Downloads

Abstract

We carried out a Lie group study of the micro-Raman tissue spectra of the Gurken gradients of Drosophila oogenesis. Matrix representations (2 × 2) resulting from the polarized Raman scattering were employed to assess the roles of the ligand-receptor complexes in follicle cell. It was found that the Gurken expansion caused by overexpressing Dally-like protein (Dlp) revealed an X 1 Lie point symmetry, while the Gurken distribution in the wild-type egg showed an X 23 Lie point symmetry. The correlation between the corresponding continuous symmetry operations and the observed Gurken localization were a corroboration of the significance of the Lie group analysis by means of the reaction–diffusion equation in a prolate spheroidal coordinate system. These investigations suggested that the group-theoretical approach can be applied to characterize the fluctuating asymmetry and the developmental stability in a wide variety of organisms.

Keywords

Lie group Raman spectra Gurken Drosophila 

Notes

Acknowledgements

Many thanks go to the Microscope Facility at Chang Gung University for their excellent assistance with the confocal microscopy. We also thank the staff of the GALOIS (Group of Abel and Lie Operations in Sciences) and QUEST Laboratory (Quantum Electro-optical Science and Technology Laboratory), Graduate Institute of Electro-optical Engineering and Department of Electronic Engineering, Chang Gung University, for their technical support. This work was supported by the National Science Council of the Republic of China under Contract No. NSC 97-2112-M-182-002-MY3.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Jen-Cheng Wang
    • 1
  • Pei-Yu Wang
    • 2
  • Ruo-Rung Huang
    • 1
  • Wei-Chieh Lin
    • 1
  • Chia-Hui Fang
    • 1
  • Li-Mei Pai
    • 3
  • Tzer-En Nee
    • 1
    Email author
  1. 1.Graduate Institute of Electro-optical Engineering and Department of Electronic EngineeringChang Gung UniversityTao-YuanRepublic of China
  2. 2.Graduate Institute of Biomedical SciencesChang Gung UniversityTao-YuanRepublic of China
  3. 3.Graduate Institute of Biomedical Sciences and Department of BiochemistryChang Gung UniversityTao-YuanRepublic of China

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