Dynamic Study of the Extraembryonic Vascular Network of the Chick Embryo by Fractal Analysis
Fractal analysis is widely used in many scientific fields, including the study of vascularization. It is a convenient method that defines the complexity of natural structures. The chorioallantoic membrane of the chick embryo is a standard experimental model for the study of vasculogenesis and angiog...
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Veröffentlicht in: | Journal of theoretical biology 1998-12, Vol.195 (4), p.525-532 |
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creator | Vico, Pierre G. Kyriacos, Soula Heymans, Olivier Louryan, Stéphane Cartilier, Louis |
description | Fractal analysis is widely used in many scientific fields, including the study of vascularization. It is a convenient method that defines the complexity of natural structures. The chorioallantoic membrane of the chick embryo is a standard experimental model for the study of vasculogenesis and angiogenesis. The aim of this investigation was to demonstrate that fractal geometry is more appropriate than any other method to describe and analyse the evolution of a vascular network, i.e. the extraembryonar vascular network of the chick embryo. We used an original methodology to evaluate the complexity of this network in the first stages of embryo development (day 3 until 6). We demonstrated an increase of fractal dimension, indicating an increasing complexity of the vascular tree, until an asymptotical value of about 1.70 at day 4. The fractal approach is more accurate than other usual semi-quantitative or quantitative methods evaluating the complexity of a growing vascular tree. |
doi_str_mv | 10.1006/jtbi.1998.0810 |
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It is a convenient method that defines the complexity of natural structures. The chorioallantoic membrane of the chick embryo is a standard experimental model for the study of vasculogenesis and angiogenesis. The aim of this investigation was to demonstrate that fractal geometry is more appropriate than any other method to describe and analyse the evolution of a vascular network, i.e. the extraembryonar vascular network of the chick embryo. We used an original methodology to evaluate the complexity of this network in the first stages of embryo development (day 3 until 6). We demonstrated an increase of fractal dimension, indicating an increasing complexity of the vascular tree, until an asymptotical value of about 1.70 at day 4. The fractal approach is more accurate than other usual semi-quantitative or quantitative methods evaluating the complexity of a growing vascular tree.</description><identifier>ISSN: 0022-5193</identifier><identifier>EISSN: 1095-8541</identifier><identifier>DOI: 10.1006/jtbi.1998.0810</identifier><identifier>PMID: 9837706</identifier><language>eng</language><publisher>England: Elsevier Ltd</publisher><subject>Animals ; Chick Embryo - blood supply ; Extraembryonic Membranes - growth & development ; Fractals ; Gestational Age ; Image Processing, Computer-Assisted ; Models, Biological ; Nonlinear Dynamics</subject><ispartof>Journal of theoretical biology, 1998-12, Vol.195 (4), p.525-532</ispartof><rights>1998 Academic Press</rights><rights>Copyright 1998 Academic Press.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c434t-eec6a591845a8e647fa91324184ad3f3e472cb454b913c9d233dd91a46160d6f3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0022519398908104$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/9837706$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Vico, Pierre G.</creatorcontrib><creatorcontrib>Kyriacos, Soula</creatorcontrib><creatorcontrib>Heymans, Olivier</creatorcontrib><creatorcontrib>Louryan, Stéphane</creatorcontrib><creatorcontrib>Cartilier, Louis</creatorcontrib><title>Dynamic Study of the Extraembryonic Vascular Network of the Chick Embryo by Fractal Analysis</title><title>Journal of theoretical biology</title><addtitle>J Theor Biol</addtitle><description>Fractal analysis is widely used in many scientific fields, including the study of vascularization. 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The fractal approach is more accurate than other usual semi-quantitative or quantitative methods evaluating the complexity of a growing vascular tree.</description><subject>Animals</subject><subject>Chick Embryo - blood supply</subject><subject>Extraembryonic Membranes - growth & development</subject><subject>Fractals</subject><subject>Gestational Age</subject><subject>Image Processing, Computer-Assisted</subject><subject>Models, Biological</subject><subject>Nonlinear Dynamics</subject><issn>0022-5193</issn><issn>1095-8541</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kDtPwzAURi0EKqWwsiF5YkuxY8eJR1TKQ0Iw8JiQLMe-EYY8wHaA_HtSWtiYrnS_cz_pHoQOKZlTQsTJSyzdnEpZzElByRaaUiKzpMg43UZTQtI0yahku2gvhBdCiORMTNBEFizPiZiip7Oh1Y0z-C72dsBdheMz4OVX9Bqa0g9dO2aPOpi-1h7fQPzs_Osvtnh25hUvfzhcDvjcaxN1jU9bXQ_BhX20U-k6wMFmztDD-fJ-cZlc315cLU6vE8MZjwmAETqTtOCZLkDwvNKSspSPC21ZxYDnqSl5xstxbaRNGbNWUs0FFcSKis3Q8br3zXfvPYSoGhcM1LVuoeuDygklmRRsBOdr0PguBA-VevOu0X5QlKiVTrXSqVY61UrneHC0ae7LBuwfvvE35sU6h_G9DwdeBeOgNWCdBxOV7dx_1d8sE4Pi</recordid><startdate>19981221</startdate><enddate>19981221</enddate><creator>Vico, Pierre G.</creator><creator>Kyriacos, Soula</creator><creator>Heymans, Olivier</creator><creator>Louryan, Stéphane</creator><creator>Cartilier, Louis</creator><general>Elsevier Ltd</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>19981221</creationdate><title>Dynamic Study of the Extraembryonic Vascular Network of the Chick Embryo by Fractal Analysis</title><author>Vico, Pierre G. ; Kyriacos, Soula ; Heymans, Olivier ; Louryan, Stéphane ; Cartilier, Louis</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c434t-eec6a591845a8e647fa91324184ad3f3e472cb454b913c9d233dd91a46160d6f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Animals</topic><topic>Chick Embryo - blood supply</topic><topic>Extraembryonic Membranes - growth & development</topic><topic>Fractals</topic><topic>Gestational Age</topic><topic>Image Processing, Computer-Assisted</topic><topic>Models, Biological</topic><topic>Nonlinear Dynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vico, Pierre G.</creatorcontrib><creatorcontrib>Kyriacos, Soula</creatorcontrib><creatorcontrib>Heymans, Olivier</creatorcontrib><creatorcontrib>Louryan, Stéphane</creatorcontrib><creatorcontrib>Cartilier, Louis</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of theoretical biology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vico, Pierre G.</au><au>Kyriacos, Soula</au><au>Heymans, Olivier</au><au>Louryan, Stéphane</au><au>Cartilier, Louis</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamic Study of the Extraembryonic Vascular Network of the Chick Embryo by Fractal Analysis</atitle><jtitle>Journal of theoretical biology</jtitle><addtitle>J Theor Biol</addtitle><date>1998-12-21</date><risdate>1998</risdate><volume>195</volume><issue>4</issue><spage>525</spage><epage>532</epage><pages>525-532</pages><issn>0022-5193</issn><eissn>1095-8541</eissn><abstract>Fractal analysis is widely used in many scientific fields, including the study of vascularization. It is a convenient method that defines the complexity of natural structures. The chorioallantoic membrane of the chick embryo is a standard experimental model for the study of vasculogenesis and angiogenesis. The aim of this investigation was to demonstrate that fractal geometry is more appropriate than any other method to describe and analyse the evolution of a vascular network, i.e. the extraembryonar vascular network of the chick embryo. We used an original methodology to evaluate the complexity of this network in the first stages of embryo development (day 3 until 6). We demonstrated an increase of fractal dimension, indicating an increasing complexity of the vascular tree, until an asymptotical value of about 1.70 at day 4. The fractal approach is more accurate than other usual semi-quantitative or quantitative methods evaluating the complexity of a growing vascular tree.</abstract><cop>England</cop><pub>Elsevier Ltd</pub><pmid>9837706</pmid><doi>10.1006/jtbi.1998.0810</doi><tpages>8</tpages></addata></record> |
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subjects | Animals Chick Embryo - blood supply Extraembryonic Membranes - growth & development Fractals Gestational Age Image Processing, Computer-Assisted Models, Biological Nonlinear Dynamics |
title | Dynamic Study of the Extraembryonic Vascular Network of the Chick Embryo by Fractal Analysis |
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