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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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Published in: | PloS one 2013-06, Vol.8 (6), p.e65143 |
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description | 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. |
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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.</description><identifier>ISSN: 1932-6203</identifier><identifier>EISSN: 1932-6203</identifier><identifier>DOI: 10.1371/journal.pone.0065143</identifier><identifier>PMID: 23840317</identifier><language>eng</language><publisher>United States: Public Library of Science</publisher><subject>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</subject><ispartof>PloS one, 2013-06, Vol.8 (6), p.e65143</ispartof><rights>COPYRIGHT 2013 Public Library of Science</rights><rights>2013 Wang et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License: https://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2013 Wang et al 2013 Wang et al</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c692t-8b0bad04ab5c5a2bbaf8dc6c9df7fd8dc8cedd399453e2eec39028f3e820dfdb3</citedby><cites>FETCH-LOGICAL-c692t-8b0bad04ab5c5a2bbaf8dc6c9df7fd8dc8cedd399453e2eec39028f3e820dfdb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.proquest.com/docview/1369823269/fulltextPDF?pq-origsite=primo$$EPDF$$P50$$Gproquest$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.proquest.com/docview/1369823269?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>230,315,733,786,790,891,25783,27957,27958,37047,44625,53827,53829,75483</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/23840317$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Bökel, Christian</contributor><creatorcontrib>Wang, Jen-Cheng</creatorcontrib><creatorcontrib>Wang, Pei-Yu</creatorcontrib><creatorcontrib>Chen, Hung-Ing</creatorcontrib><creatorcontrib>Wu, Kai-Ling</creatorcontrib><creatorcontrib>Pai, Li-Mei</creatorcontrib><creatorcontrib>Nee, Tzer-En</creatorcontrib><title>Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein</title><title>PloS one</title><addtitle>PLoS One</addtitle><description>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.</description><subject>Algebra</subject><subject>Analysis</subject><subject>Animals</subject><subject>Animals, Genetically Modified</subject><subject>Apoptosis</subject><subject>Biology</subject><subject>Body Patterning - genetics</subject><subject>Cell cycle</subject><subject>Computer Science</subject><subject>Consonants (speech)</subject><subject>Coordination compounds</subject><subject>Developmental biology</subject><subject>Dimensional analysis</subject><subject>Drosophila</subject><subject>Drosophila melanogaster - embryology</subject><subject>Drosophila melanogaster - genetics</subject><subject>Drosophila melanogaster - ultrastructure</subject><subject>Drosophila Proteins - genetics</subject><subject>Drosophila Proteins - metabolism</subject><subject>Embryo, Nonmammalian</subject><subject>Embryogenesis</subject><subject>Embryonic development</subject><subject>Embryonic Development - genetics</subject><subject>Embryonic growth stage</subject><subject>Embryos</subject><subject>Engineering</subject><subject>Epidermal growth factor</subject><subject>Female</subject><subject>Fluorescence</subject><subject>Gene expression</subject><subject>Gurken protein</subject><subject>Handbooks</subject><subject>Insects</subject><subject>Lie groups</subject><subject>Materials Science</subject><subject>Mathematical functions</subject><subject>Mathematics</subject><subject>Microscopy, Confocal - methods</subject><subject>Oogenesis</subject><subject>Oogenesis - genetics</subject><subject>Oogenesis - physiology</subject><subject>Photochemical Processes</subject><subject>Physics</subject><subject>Proteins</subject><subject>Science</subject><subject>Skewed distributions</subject><subject>Spectrometry, Fluorescence - methods</subject><subject>Spectrum analysis</subject><subject>Symmetry</subject><subject>Tissue Distribution</subject><subject>Transforming Growth Factor alpha - genetics</subject><subject>Transforming Growth Factor alpha - 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Performed the experiments: TEN LMP PYW JCW KLW HIC. Analyzed the data: TEN LMP PYW JCW KLW HIC. Contributed reagents/materials/analysis tools: TEN LMP PYW JCW. Wrote the paper: TEN JCW.</notes><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.</abstract><cop>United States</cop><pub>Public Library of Science</pub><pmid>23840317</pmid><doi>10.1371/journal.pone.0065143</doi><tpages>e65143</tpages><oa>free_for_read</oa></addata></record> |
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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 |
title | Lie Group Analysis of the Photo-Induced Fluorescence of Drosophila Oogenesis with the Asymmetrically Localized Gurken Protein |
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