title: Lie group study of Raman spectra of the Gurken gradient in Drosophila oogenesis.
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.
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: Ruo-Rung
authors.initials: RR
authors.lastname: Huang
authors.forename: Wei-Chieh
authors.initials: WC
authors.lastname: Lin
authors.forename: Chia-Hui
authors.initials: CH
authors.lastname: Fang
authors.forename: Li-Mei
authors.initials: LM
authors.lastname: Pai
authors.forename: Tzer-En
authors.initials: TE
authors.lastname: Nee
mesh_terms: D000818:Animals; D004330:Drosophila / Q000737:chemistry / Q000166:cytology / Q000378:metabolism*; D029721:Drosophila Proteins / Q000737:chemistry / Q000378:metabolism*; D005260:Female; D009865:Oocytes / Q000737:chemistry* / Q000166:cytology / Q000378:metabolism*; D009866:Oogenesis; D013059:Spectrum Analysis, Raman; D016211:Transforming Growth Factor alpha / Q000737:chemistry / Q000378:metabolism*
chemical_list: D029721:Drosophila Proteins; D016211:Transforming Growth Factor alpha; C083730:grk protein, Drosophila