Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface
In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also d...
Gespeichert in:
| Veröffentlicht in: | Journal of fluid mechanics 2014-01, Vol.738, p.492-521 |
|---|---|
| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 521 |
|---|---|
| container_issue | |
| container_start_page | 492 |
| container_title | Journal of fluid mechanics |
| container_volume | 738 |
| creator | Kuznetsov, A. V. Blinov, D. G. Avramenko, A. A. Shevchuk, I. V. Tyrinov, A. I. Kuznetsov, I. A. |
| description | In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also developed an approximate solution for morphogen transport in the nodal pit. The solutions were obtained utilizing the proper generalized decomposition (PGD) method. We compared our approximate solutions with the results of numerical simulation of flow caused by the rotation of 81 cilia, and obtained reasonable agreement in most of the flow domain. We discuss locations where agreement is less accurate. The obtained semi-analytical solutions simplify the analysis of flow and morphogen distribution in a nodal pit. |
| doi_str_mv | 10.1017/jfm.2013.588 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1642275410</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><cupid>10_1017_jfm_2013_588</cupid><sourcerecordid>3155475901</sourcerecordid><originalsourceid>FETCH-LOGICAL-c398t-96b1a1b5d02a3067563ddb0d30e432af977e251380c05fda25c40cb5f97864083</originalsourceid><addsrcrecordid>eNqF0ctu1DAUBuAIgcTQsuMBLCEkFmR6fE-WVdUCUiU2sI4cX6YeJXGwM7R5Ax6bM-0IIYTEygt__o-O_6p6Q2FLgeqLfRi3DCjfyqZ5Vm2oUG2tlZDPqw0AYzWlDF5Wr0rZAypo9ab6eTnPOT3E0SyejMn5YYjTjqRAljtPBh-We5MdCUO6J2ZySPJ8l3Z-Iks2U5lTXkicHrEf-7ymKVoyYQ7pV1Jmb2NYj4E_EEYbl5WY5VHbOESc6Ug55GCsP69eBDMU__p0nlXfbq6_Xn2qb798_Hx1eVtb3jZL3aqeGtpLB8xwUFoq7lwPjoMXnJnQau2ZpLwBCzI4w6QVYHuJF40S0PCz6v1TLq79_eDL0o2xWFzbTD4dSkeVYExLQeH_VLSC46z2SN_-RffpkCdcBJXSWoKiFNWHJ2VzKiX70M0Zfz6vHYXu2GCHDXbHBjtsEPm7U6gp1gwBP9zG8vsNayjnimp021OswQqi2_k_pv8r-Bfd_quG</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1467750611</pqid></control><display><type>article</type><title>Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface</title><source>Cambridge Journals Online</source><creator>Kuznetsov, A. V. ; Blinov, D. G. ; Avramenko, A. A. ; Shevchuk, I. V. ; Tyrinov, A. I. ; Kuznetsov, I. A.</creator><creatorcontrib>Kuznetsov, A. V. ; Blinov, D. G. ; Avramenko, A. A. ; Shevchuk, I. V. ; Tyrinov, A. I. ; Kuznetsov, I. A.</creatorcontrib><description>In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also developed an approximate solution for morphogen transport in the nodal pit. The solutions were obtained utilizing the proper generalized decomposition (PGD) method. We compared our approximate solutions with the results of numerical simulation of flow caused by the rotation of 81 cilia, and obtained reasonable agreement in most of the flow domain. We discuss locations where agreement is less accurate. The obtained semi-analytical solutions simplify the analysis of flow and morphogen distribution in a nodal pit.</description><identifier>ISSN: 0022-1120</identifier><identifier>EISSN: 1469-7645</identifier><identifier>DOI: 10.1017/jfm.2013.588</identifier><identifier>CODEN: JFLSA7</identifier><language>eng</language><publisher>Cambridge, UK: Cambridge University Press</publisher><subject>Approximation ; Biological and medical sciences ; Cellular biology ; Complex syndromes ; Computational fluid dynamics ; Embryology ; Flow ; Fluid flow ; Fluid mechanics ; Mathematical models ; Medical genetics ; Medical sciences ; Modelling ; Transport ; Vortices ; Vorticity</subject><ispartof>Journal of fluid mechanics, 2014-01, Vol.738, p.492-521</ispartof><rights>2013 Cambridge University Press</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c398t-96b1a1b5d02a3067563ddb0d30e432af977e251380c05fda25c40cb5f97864083</citedby><cites>FETCH-LOGICAL-c398t-96b1a1b5d02a3067563ddb0d30e432af977e251380c05fda25c40cb5f97864083</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.cambridge.org/core/product/identifier/S0022112013005880/type/journal_article$$EHTML$$P50$$Gcambridge$$H</linktohtml><link.rule.ids>164,314,780,784,27924,27925,55628</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=28133617$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Kuznetsov, A. V.</creatorcontrib><creatorcontrib>Blinov, D. G.</creatorcontrib><creatorcontrib>Avramenko, A. A.</creatorcontrib><creatorcontrib>Shevchuk, I. V.</creatorcontrib><creatorcontrib>Tyrinov, A. I.</creatorcontrib><creatorcontrib>Kuznetsov, I. A.</creatorcontrib><title>Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface</title><title>Journal of fluid mechanics</title><addtitle>J. Fluid Mech</addtitle><description>In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also developed an approximate solution for morphogen transport in the nodal pit. The solutions were obtained utilizing the proper generalized decomposition (PGD) method. We compared our approximate solutions with the results of numerical simulation of flow caused by the rotation of 81 cilia, and obtained reasonable agreement in most of the flow domain. We discuss locations where agreement is less accurate. The obtained semi-analytical solutions simplify the analysis of flow and morphogen distribution in a nodal pit.</description><subject>Approximation</subject><subject>Biological and medical sciences</subject><subject>Cellular biology</subject><subject>Complex syndromes</subject><subject>Computational fluid dynamics</subject><subject>Embryology</subject><subject>Flow</subject><subject>Fluid flow</subject><subject>Fluid mechanics</subject><subject>Mathematical models</subject><subject>Medical genetics</subject><subject>Medical sciences</subject><subject>Modelling</subject><subject>Transport</subject><subject>Vortices</subject><subject>Vorticity</subject><issn>0022-1120</issn><issn>1469-7645</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNqF0ctu1DAUBuAIgcTQsuMBLCEkFmR6fE-WVdUCUiU2sI4cX6YeJXGwM7R5Ax6bM-0IIYTEygt__o-O_6p6Q2FLgeqLfRi3DCjfyqZ5Vm2oUG2tlZDPqw0AYzWlDF5Wr0rZAypo9ab6eTnPOT3E0SyejMn5YYjTjqRAljtPBh-We5MdCUO6J2ZySPJ8l3Z-Iks2U5lTXkicHrEf-7ymKVoyYQ7pV1Jmb2NYj4E_EEYbl5WY5VHbOESc6Ug55GCsP69eBDMU__p0nlXfbq6_Xn2qb798_Hx1eVtb3jZL3aqeGtpLB8xwUFoq7lwPjoMXnJnQau2ZpLwBCzI4w6QVYHuJF40S0PCz6v1TLq79_eDL0o2xWFzbTD4dSkeVYExLQeH_VLSC46z2SN_-RffpkCdcBJXSWoKiFNWHJ2VzKiX70M0Zfz6vHYXu2GCHDXbHBjtsEPm7U6gp1gwBP9zG8vsNayjnimp021OswQqi2_k_pv8r-Bfd_quG</recordid><startdate>20140110</startdate><enddate>20140110</enddate><creator>Kuznetsov, A. V.</creator><creator>Blinov, D. G.</creator><creator>Avramenko, A. A.</creator><creator>Shevchuk, I. V.</creator><creator>Tyrinov, A. I.</creator><creator>Kuznetsov, I. A.</creator><general>Cambridge University Press</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TB</scope><scope>7U5</scope><scope>7UA</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope></search><sort><creationdate>20140110</creationdate><title>Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface</title><author>Kuznetsov, A. V. ; Blinov, D. G. ; Avramenko, A. A. ; Shevchuk, I. V. ; Tyrinov, A. I. ; Kuznetsov, I. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c398t-96b1a1b5d02a3067563ddb0d30e432af977e251380c05fda25c40cb5f97864083</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Approximation</topic><topic>Biological and medical sciences</topic><topic>Cellular biology</topic><topic>Complex syndromes</topic><topic>Computational fluid dynamics</topic><topic>Embryology</topic><topic>Flow</topic><topic>Fluid flow</topic><topic>Fluid mechanics</topic><topic>Mathematical models</topic><topic>Medical genetics</topic><topic>Medical sciences</topic><topic>Modelling</topic><topic>Transport</topic><topic>Vortices</topic><topic>Vorticity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kuznetsov, A. V.</creatorcontrib><creatorcontrib>Blinov, D. G.</creatorcontrib><creatorcontrib>Avramenko, A. A.</creatorcontrib><creatorcontrib>Shevchuk, I. V.</creatorcontrib><creatorcontrib>Tyrinov, A. I.</creatorcontrib><creatorcontrib>Kuznetsov, I. A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Water Resources Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection (Proquest) (PQ_SDU_P3)</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>ProQuest research library</collection><collection>ProQuest Science Journals</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Journal of fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kuznetsov, A. V.</au><au>Blinov, D. G.</au><au>Avramenko, A. A.</au><au>Shevchuk, I. V.</au><au>Tyrinov, A. I.</au><au>Kuznetsov, I. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface</atitle><jtitle>Journal of fluid mechanics</jtitle><addtitle>J. Fluid Mech</addtitle><date>2014-01-10</date><risdate>2014</risdate><volume>738</volume><spage>492</spage><epage>521</epage><pages>492-521</pages><issn>0022-1120</issn><eissn>1469-7645</eissn><coden>JFLSA7</coden><abstract>In this paper, we have developed an approximate method for modelling the flow of embryonic fluid in a ventral node. We simplified the problem as flow in a two-dimensional cavity; the effect of rotating cilia was modelled by specifying a constant vorticity at the edge of the ciliated layer. We also developed an approximate solution for morphogen transport in the nodal pit. The solutions were obtained utilizing the proper generalized decomposition (PGD) method. We compared our approximate solutions with the results of numerical simulation of flow caused by the rotation of 81 cilia, and obtained reasonable agreement in most of the flow domain. We discuss locations where agreement is less accurate. The obtained semi-analytical solutions simplify the analysis of flow and morphogen distribution in a nodal pit.</abstract><cop>Cambridge, UK</cop><pub>Cambridge University Press</pub><doi>10.1017/jfm.2013.588</doi><tpages>30</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-1120 |
| ispartof | Journal of fluid mechanics, 2014-01, Vol.738, p.492-521 |
| issn | 0022-1120 1469-7645 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1642275410 |
| source | Cambridge Journals Online |
| subjects | Approximation Biological and medical sciences Cellular biology Complex syndromes Computational fluid dynamics Embryology Flow Fluid flow Fluid mechanics Mathematical models Medical genetics Medical sciences Modelling Transport Vortices Vorticity |
| title | Approximate modelling of the leftward flow and morphogen transport in the embryonic node by specifying vorticity at the ciliated surface |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T06%3A58%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Approximate%20modelling%20of%20the%20leftward%20flow%20and%20morphogen%20transport%20in%20the%20embryonic%20node%20by%20specifying%20vorticity%20at%20the%20ciliated%20surface&rft.jtitle=Journal%20of%20fluid%20mechanics&rft.au=Kuznetsov,%20A.%20V.&rft.date=2014-01-10&rft.volume=738&rft.spage=492&rft.epage=521&rft.pages=492-521&rft.issn=0022-1120&rft.eissn=1469-7645&rft.coden=JFLSA7&rft_id=info:doi/10.1017/jfm.2013.588&rft_dat=%3Cproquest_cross%3E3155475901%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1467750611&rft_id=info:pmid/&rft_cupid=10_1017_jfm_2013_588&rfr_iscdi=true |