Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction
For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter...
Gespeichert in:
| Veröffentlicht in: | arXiv.org 2008-06 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | arXiv.org |
| container_volume | |
| creator | Korn, C B Schwarz, U S |
| description | For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest. |
| doi_str_mv | 10.48550/arxiv.0806.4444 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_arxiv</sourceid><recordid>TN_cdi_arxiv_primary_0806_4444</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2090519433</sourcerecordid><originalsourceid>FETCH-LOGICAL-a934-9a9a2ac2b7e6cce6403226b82f611b382bcd36ce7cbd68487877196f7e08c9e43</originalsourceid><addsrcrecordid>eNotkEFLAzEQhYMgWGrvniTgeWs2ySZZb1LUChUvvS_ZZNambJOa7Kr7702tc5nh8ebx-BC6KcmSq6oi9zr-uK8lUUQseZ4LNKOMlYXilF6hRUp7QggVklYVmyH3Btpj8CaMfoCIB3eAhLsQsYG-x9ruILngsfN4N9kY7OT1wRnc9eH7AWuv-2lwRvf4GMNHhJRwO2GbQ_zpLesR7GiGfF-jy073CRb_e462z0_b1brYvL-8rh43ha4ZL2pda6oNbSUIY0BwwigVraKdKMuWKdoay4QBaVorFFdSSVnWopNAlKmBszm6Pcf-YWiO0R10nJoTjuaEIxvuzobc-HOENDT7MMZcNTWU1KQqa84Y-wVqXmRv</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2090519433</pqid></control><display><type>article</type><title>Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction</title><source>arXiv.org</source><source>Free E- Journals</source><creator>Korn, C B ; Schwarz, U S</creator><creatorcontrib>Korn, C B ; Schwarz, U S</creatorcontrib><description>For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0806.4444</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Cell adhesion ; Cell adhesion & migration ; Computational fluid dynamics ; Computer simulation ; Convection ; Couplings ; Degrees of freedom ; Fluid flow ; Physics - Biological Physics ; Quantitative Biology - Cell Behavior ; Quantitative Biology - Subcellular Processes ; Receptors ; Substrates ; Two dimensional analysis ; Two dimensional models</subject><ispartof>arXiv.org, 2008-06</ispartof><rights>2008. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,780,881,27902</link.rule.ids><backlink>$$Uhttps://doi.org/10.1209/0295-5075/83/28007$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.0806.4444$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Korn, C B</creatorcontrib><creatorcontrib>Schwarz, U S</creatorcontrib><title>Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction</title><title>arXiv.org</title><description>For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest.</description><subject>Cell adhesion</subject><subject>Cell adhesion & migration</subject><subject>Computational fluid dynamics</subject><subject>Computer simulation</subject><subject>Convection</subject><subject>Couplings</subject><subject>Degrees of freedom</subject><subject>Fluid flow</subject><subject>Physics - Biological Physics</subject><subject>Quantitative Biology - Cell Behavior</subject><subject>Quantitative Biology - Subcellular Processes</subject><subject>Receptors</subject><subject>Substrates</subject><subject>Two dimensional analysis</subject><subject>Two dimensional models</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2008</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><sourceid>GOX</sourceid><recordid>eNotkEFLAzEQhYMgWGrvniTgeWs2ySZZb1LUChUvvS_ZZNambJOa7Kr7702tc5nh8ebx-BC6KcmSq6oi9zr-uK8lUUQseZ4LNKOMlYXilF6hRUp7QggVklYVmyH3Btpj8CaMfoCIB3eAhLsQsYG-x9ruILngsfN4N9kY7OT1wRnc9eH7AWuv-2lwRvf4GMNHhJRwO2GbQ_zpLesR7GiGfF-jy073CRb_e462z0_b1brYvL-8rh43ha4ZL2pda6oNbSUIY0BwwigVraKdKMuWKdoay4QBaVorFFdSSVnWopNAlKmBszm6Pcf-YWiO0R10nJoTjuaEIxvuzobc-HOENDT7MMZcNTWU1KQqa84Y-wVqXmRv</recordid><startdate>20080627</startdate><enddate>20080627</enddate><creator>Korn, C B</creator><creator>Schwarz, U S</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>ALC</scope><scope>GOX</scope></search><sort><creationdate>20080627</creationdate><title>Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction</title><author>Korn, C B ; Schwarz, U S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a934-9a9a2ac2b7e6cce6403226b82f611b382bcd36ce7cbd68487877196f7e08c9e43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2008</creationdate><topic>Cell adhesion</topic><topic>Cell adhesion & migration</topic><topic>Computational fluid dynamics</topic><topic>Computer simulation</topic><topic>Convection</topic><topic>Couplings</topic><topic>Degrees of freedom</topic><topic>Fluid flow</topic><topic>Physics - Biological Physics</topic><topic>Quantitative Biology - Cell Behavior</topic><topic>Quantitative Biology - Subcellular Processes</topic><topic>Receptors</topic><topic>Substrates</topic><topic>Two dimensional analysis</topic><topic>Two dimensional models</topic><toplevel>online_resources</toplevel><creatorcontrib>Korn, C B</creatorcontrib><creatorcontrib>Schwarz, U S</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content 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>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv Quantitative Biology</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Korn, C B</au><au>Schwarz, U S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction</atitle><jtitle>arXiv.org</jtitle><date>2008-06-27</date><risdate>2008</risdate><eissn>2331-8422</eissn><abstract>For a cell moving in hydrodynamic flow above a wall, translational and rotational degrees of freedom are coupled by the Stokes equation. In addition, there is a close coupling of convection and diffusion due to the position-dependent mobility. These couplings render calculation of the mean encounter time between cell surface receptors and ligands on the substrate very difficult. Here we show for a two-dimensional model system how analytical progress can be achieved by treating motion in the vertical direction by an effective reaction term in the mean first passage time equation for the rotational degree of freedom. The strength of this reaction term can either be estimated from equilibrium considerations or used as a fit parameter. Our analytical results are confirmed by computer simulations and allow to assess the relative roles of convection and diffusion for different scaling regimes of interest.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.0806.4444</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | EISSN: 2331-8422 |
| ispartof | arXiv.org, 2008-06 |
| issn | 2331-8422 |
| language | eng |
| recordid | cdi_arxiv_primary_0806_4444 |
| source | arXiv.org; Free E- Journals |
| subjects | Cell adhesion Cell adhesion & migration Computational fluid dynamics Computer simulation Convection Couplings Degrees of freedom Fluid flow Physics - Biological Physics Quantitative Biology - Cell Behavior Quantitative Biology - Subcellular Processes Receptors Substrates Two dimensional analysis Two dimensional models |
| title | Mean encounter times for cell adhesion in hydrodynamic flow: analytical progress by dimensional reduction |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-09T07%3A23%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_arxiv&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Mean%20encounter%20times%20for%20cell%20adhesion%20in%20hydrodynamic%20flow:%20analytical%20progress%20by%20dimensional%20reduction&rft.jtitle=arXiv.org&rft.au=Korn,%20C%20B&rft.date=2008-06-27&rft.eissn=2331-8422&rft_id=info:doi/10.48550/arxiv.0806.4444&rft_dat=%3Cproquest_arxiv%3E2090519433%3C/proquest_arxiv%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2090519433&rft_id=info:pmid/&rfr_iscdi=true |