{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/88217"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/88217","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Systematic and statistical variations of ommatidial area in the Drosophila eye and their effect on eye morphology","abstract":"Made available in DSpace on 2015-09-29T20:50:20Z (GMT). No. of bitstreams: 2 YANG-THESIS-2015.pdf: 10159642 bytes, checksum: 87970180d7e119b20e5160a5e4ff8486 (MD5) LICENSE.txt: 4208 bytes, checksum: 7db4e6bfeef20678faf643069a3e01eb (MD5) Previous issue date: 2015-07-23","abstract_html":"Made available in DSpace on 2015-09-29T20:50:20Z (GMT). No. of bitstreams: 2 YANG-THESIS-2015.pdf: 10159642 bytes, checksum: 87970180d7e119b20e5160a5e4ff8486 (MD5) LICENSE.txt: 4208 bytes, checksum: 7db4e6bfeef20678faf643069a3e01eb (MD5) Previous issue date: 2015-07-23","abstract_has_math":false,"creators":["Yang, Boyuan"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Theoretical & Applied Mechanics","degree_department":null,"school":null,"contributors":["Hilgenfeldt, Sascha"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2015,"date_issued":"2015-09-29T20:50:20Z","date_published":"2015-09-29T20:50:20Z","updated_at":"2026-07-22T22:26:31Z","subjects":["Systematic and Statistical Variations","Drosophila Eye Morphology","Tessellation"],"languages":["en"],"rights":["Copyright 2015 Boyuan Yang"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/88217","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Hilgenfeldt, Sascha"]},{"key":"dc:creator","label":"Author","values":["Yang, Boyuan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2015-09-29T20:50:20Z","2017-09-30T09:15:32Z","2015-08","2015-07-23","2015-8"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Theoretical & Applied Mechanics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Systematic and Statistical Variations","Drosophila Eye Morphology","Tessellation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2015 Boyuan Yang"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/88217"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Made available in DSpace on 2015-09-29T20:50:20Z (GMT). No. of bitstreams: 2 YANG-THESIS-2015.pdf: 10159642 bytes, checksum: 87970180d7e119b20e5160a5e4ff8486 (MD5) LICENSE.txt: 4208 bytes, checksum: 7db4e6bfeef20678faf643069a3e01eb (MD5) Previous issue date: 2015-07-23","Embargo set by: Seth Robbins for item 89497 Lift date: 2017-09-29T20:50:34Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","The study of metamorphosis and morphogenesis in the Drosophila fruit fly has far-reaching consequences for our fundamental understanding of these processes and wide-spread applications in biomedicine. Understanding the influence of mutations in the planar cell polarity pathway is one important aspect in this respect, and will potentially help in the treatment of diseases. The Drosophila eye consists of small units called ommatidia, shaped as regular hexagons under the balance of cell-cell adhesion and interfacial tension. Such regular hexagonal tessellations are known to obey certain topological and geometrical relations. In particular, the theory of Voronoi tilings shows that only a small magnitude of area variation is allowed before defects occur. Yet, the experiment image shows area variations far greater than this limit. A theory is proposed separating the variation into two independent parts, i.e., systematical and statistical variations. The statistical variation describes the local magnitude of disorder and should follow the variation restriction. The systematical variation describes area changes over large scales. The total variation observed in experiment is the combination of the two variations. This hypothesis is verified both in simulations and in analyzing experimental images of wild-type and mutant Drosophila retinas.","Submission published under a 24 month embargo labeled 'U of I only', the embargo will last until 2017-08-01","The student, Boyuan Yang, accepted the attached license on 2015-07-17 at 15:42.","The student, Boyuan Yang, submitted this Thesis for approval on 2015-07-17 at 16:09.","This Thesis was approved for publication on 2015-07-23 at 09:25.","DSpace SAF Submission Ingestion Package generated from Vireo submission #8545 on 2015-09-29 at 15:00:50","U of I Only Restriction Lifted for Item 89497 on 2017-09-30T09:15:32Z."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Systematic and statistical variations of ommatidial area in the Drosophila eye and their effect on eye morphology"]}]}],"canonical_facts":{"dc:contributor":["Hilgenfeldt, Sascha"],"dc:creator":["Yang, Boyuan"],"dc:date":["2015-09-29T20:50:20Z","2017-09-30T09:15:32Z","2015-08","2015-07-23","2015-8"],"dc:description":["Made available in DSpace on 2015-09-29T20:50:20Z (GMT). No. of bitstreams: 2 YANG-THESIS-2015.pdf: 10159642 bytes, checksum: 87970180d7e119b20e5160a5e4ff8486 (MD5) LICENSE.txt: 4208 bytes, checksum: 7db4e6bfeef20678faf643069a3e01eb (MD5) Previous issue date: 2015-07-23","Embargo set by: Seth Robbins for item 89497 Lift date: 2017-09-29T20:50:34Z Reason: Author requested U of Illinois access only (OA after 2yrs) in Vireo ETD system","The study of metamorphosis and morphogenesis in the Drosophila fruit fly has far-reaching consequences for our fundamental understanding of these processes and wide-spread applications in biomedicine. Understanding the influence of mutations in the planar cell polarity pathway is one important aspect in this respect, and will potentially help in the treatment of diseases. The Drosophila eye consists of small units called ommatidia, shaped as regular hexagons under the balance of cell-cell adhesion and interfacial tension. Such regular hexagonal tessellations are known to obey certain topological and geometrical relations. In particular, the theory of Voronoi tilings shows that only a small magnitude of area variation is allowed before defects occur. Yet, the experiment image shows area variations far greater than this limit. A theory is proposed separating the variation into two independent parts, i.e., systematical and statistical variations. The statistical variation describes the local magnitude of disorder and should follow the variation restriction. The systematical variation describes area changes over large scales. The total variation observed in experiment is the combination of the two variations. This hypothesis is verified both in simulations and in analyzing experimental images of wild-type and mutant Drosophila retinas.","Submission published under a 24 month embargo labeled 'U of I only', the embargo will last until 2017-08-01","The student, Boyuan Yang, accepted the attached license on 2015-07-17 at 15:42.","The student, Boyuan Yang, submitted this Thesis for approval on 2015-07-17 at 16:09.","This Thesis was approved for publication on 2015-07-23 at 09:25.","DSpace SAF Submission Ingestion Package generated from Vireo submission #8545 on 2015-09-29 at 15:00:50","U of I Only Restriction Lifted for Item 89497 on 2017-09-30T09:15:32Z."],"dc:format":["application/pdf"],"dc:identifier":["http://hdl.handle.net/2142/88217"],"dc:language":["en"],"dc:rights":["Copyright 2015 Boyuan Yang"],"dc:subject":["Systematic and Statistical Variations","Drosophila Eye Morphology","Tessellation"],"dc:title":["Systematic and statistical variations of ommatidial area in the Drosophila eye and their effect on eye morphology"],"dc:type":["text"],"thesis:degree_discipline":["Theoretical & Applied Mechanics"],"thesis:degree_level":["Thesis"],"thesis:degree_name":["M.S."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:26:31Z"}