Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding
A statistical approach is presented to model the kinetics of cell distribution in the process of ligand–receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The...
Gespeichert in:
| Veröffentlicht in: | Journal of theoretical biology 2000-10, Vol.206 (3), p.407-417 |
|---|---|
| Hauptverfasser: | , , , , , , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 417 |
|---|---|
| container_issue | 3 |
| container_start_page | 407 |
| container_title | Journal of theoretical biology |
| container_volume | 206 |
| creator | SUROVTSEV, IVAN V RAZUMOV, IVAN A NEKRASOV, VYACHESLAV M SHVALOV, ALEXANDER N SOINI, JUHANI T MALTSEV, VALERI P PETROV, ALEXANDER K LOKTEV, VALERI B CHERNYSHEV, ANDREI V |
| description | A statistical approach is presented to model the kinetics of cell distribution in the process of ligand–receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The analytical expressions for the kinetics of cell distribution have been derived in the reaction-limited approximation. In order to demonstrate the applicability of the mathematical model, the kinetics of binding the rabbit, anti-mouse IgG with Ig-receptors of the murine hybridoma cells has been measured. Anti-mouse IgG was labeled with fluorescein isothiocyanate (FITC). The kinetics of cell distribution on ligand–receptor complexes was observed during the reaction process by real-time measuring of the fluorescence and light-scattering traces of individual cells with the scanning flow cytometer. The experimental data were fitted by the mathematical model in order to obtain the binding rate constant and the initial cell distribution on the amount of receptors. |
| doi_str_mv | 10.1006/jtbi.2000.2136 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_72270648</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0022519300921362</els_id><sourcerecordid>72270648</sourcerecordid><originalsourceid>FETCH-LOGICAL-c340t-f5ca585351dd8e7513eea496c2db82b8d094a89419e0c693cee9e6624c853bb73</originalsourceid><addsrcrecordid>eNp1kLtOwzAUhi0EoqWwMqJMbCm2kzjOCOUqWoEQzJZjnxSjNC62g8TGO_CGPAnuZWBhOtLR9_8650PomOAxwZidvYXajCnGeExJxnbQkOCqSHmRk100xJjStCBVNkAH3r9Fqsozto8GEeIcUzZEaibDKyxkMEq2ycxqaE03T-IuuTcdxLVPbJNMoG2TS-ODM3UfjO0S062hR2cV-DUzNXPZ6Z-v7ydQsAzWJRem07HtEO01svVwtJ0j9HJ99Ty5TacPN3eT82mqshyHtCmULHiRFURrDmVBMgCZV0xRXXNacx2vl7zKSQVYsSpTABUwRnMVQ3VdZiN0uuldOvvegw9iYbyKl8sObO9FSWmJWc4jON6AylnvHTRi6cxCuk9BsFhpFSutYqVVrLTGwMm2ua8XoP_gG48R4BsA4n8fBpzwykCnQBsHKghtzX_dv40yiAE</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>72270648</pqid></control><display><type>article</type><title>Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding</title><source>MEDLINE</source><source>Elsevier ScienceDirect Journals</source><creator>SUROVTSEV, IVAN V ; RAZUMOV, IVAN A ; NEKRASOV, VYACHESLAV M ; SHVALOV, ALEXANDER N ; SOINI, JUHANI T ; MALTSEV, VALERI P ; PETROV, ALEXANDER K ; LOKTEV, VALERI B ; CHERNYSHEV, ANDREI V</creator><creatorcontrib>SUROVTSEV, IVAN V ; RAZUMOV, IVAN A ; NEKRASOV, VYACHESLAV M ; SHVALOV, ALEXANDER N ; SOINI, JUHANI T ; MALTSEV, VALERI P ; PETROV, ALEXANDER K ; LOKTEV, VALERI B ; CHERNYSHEV, ANDREI V</creatorcontrib><description>A statistical approach is presented to model the kinetics of cell distribution in the process of ligand–receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The analytical expressions for the kinetics of cell distribution have been derived in the reaction-limited approximation. In order to demonstrate the applicability of the mathematical model, the kinetics of binding the rabbit, anti-mouse IgG with Ig-receptors of the murine hybridoma cells has been measured. Anti-mouse IgG was labeled with fluorescein isothiocyanate (FITC). The kinetics of cell distribution on ligand–receptor complexes was observed during the reaction process by real-time measuring of the fluorescence and light-scattering traces of individual cells with the scanning flow cytometer. The experimental data were fitted by the mathematical model in order to obtain the binding rate constant and the initial cell distribution on the amount of receptors.</description><identifier>ISSN: 0022-5193</identifier><identifier>EISSN: 1095-8541</identifier><identifier>DOI: 10.1006/jtbi.2000.2136</identifier><identifier>PMID: 10988026</identifier><language>eng</language><publisher>England: Elsevier Ltd</publisher><subject>Animals ; Computer Simulation ; Flow Cytometry ; Hybridomas - cytology ; Hybridomas - metabolism ; Immunoglobulin G - metabolism ; Mice ; Models, Biological ; Models, Statistical ; Protein Binding ; Rabbits ; Receptors, IgG - metabolism</subject><ispartof>Journal of theoretical biology, 2000-10, Vol.206 (3), p.407-417</ispartof><rights>2000 Academic Press</rights><rights>Copyright 2000 Academic Press.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c340t-f5ca585351dd8e7513eea496c2db82b8d094a89419e0c693cee9e6624c853bb73</citedby><cites>FETCH-LOGICAL-c340t-f5ca585351dd8e7513eea496c2db82b8d094a89419e0c693cee9e6624c853bb73</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1006/jtbi.2000.2136$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,777,781,3537,27905,27906,45976</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/10988026$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>SUROVTSEV, IVAN V</creatorcontrib><creatorcontrib>RAZUMOV, IVAN A</creatorcontrib><creatorcontrib>NEKRASOV, VYACHESLAV M</creatorcontrib><creatorcontrib>SHVALOV, ALEXANDER N</creatorcontrib><creatorcontrib>SOINI, JUHANI T</creatorcontrib><creatorcontrib>MALTSEV, VALERI P</creatorcontrib><creatorcontrib>PETROV, ALEXANDER K</creatorcontrib><creatorcontrib>LOKTEV, VALERI B</creatorcontrib><creatorcontrib>CHERNYSHEV, ANDREI V</creatorcontrib><title>Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding</title><title>Journal of theoretical biology</title><addtitle>J Theor Biol</addtitle><description>A statistical approach is presented to model the kinetics of cell distribution in the process of ligand–receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The analytical expressions for the kinetics of cell distribution have been derived in the reaction-limited approximation. In order to demonstrate the applicability of the mathematical model, the kinetics of binding the rabbit, anti-mouse IgG with Ig-receptors of the murine hybridoma cells has been measured. Anti-mouse IgG was labeled with fluorescein isothiocyanate (FITC). The kinetics of cell distribution on ligand–receptor complexes was observed during the reaction process by real-time measuring of the fluorescence and light-scattering traces of individual cells with the scanning flow cytometer. The experimental data were fitted by the mathematical model in order to obtain the binding rate constant and the initial cell distribution on the amount of receptors.</description><subject>Animals</subject><subject>Computer Simulation</subject><subject>Flow Cytometry</subject><subject>Hybridomas - cytology</subject><subject>Hybridomas - metabolism</subject><subject>Immunoglobulin G - metabolism</subject><subject>Mice</subject><subject>Models, Biological</subject><subject>Models, Statistical</subject><subject>Protein Binding</subject><subject>Rabbits</subject><subject>Receptors, IgG - metabolism</subject><issn>0022-5193</issn><issn>1095-8541</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2000</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp1kLtOwzAUhi0EoqWwMqJMbCm2kzjOCOUqWoEQzJZjnxSjNC62g8TGO_CGPAnuZWBhOtLR9_8650PomOAxwZidvYXajCnGeExJxnbQkOCqSHmRk100xJjStCBVNkAH3r9Fqsozto8GEeIcUzZEaibDKyxkMEq2ycxqaE03T-IuuTcdxLVPbJNMoG2TS-ODM3UfjO0S062hR2cV-DUzNXPZ6Z-v7ydQsAzWJRem07HtEO01svVwtJ0j9HJ99Ty5TacPN3eT82mqshyHtCmULHiRFURrDmVBMgCZV0xRXXNacx2vl7zKSQVYsSpTABUwRnMVQ3VdZiN0uuldOvvegw9iYbyKl8sObO9FSWmJWc4jON6AylnvHTRi6cxCuk9BsFhpFSutYqVVrLTGwMm2ua8XoP_gG48R4BsA4n8fBpzwykCnQBsHKghtzX_dv40yiAE</recordid><startdate>20001007</startdate><enddate>20001007</enddate><creator>SUROVTSEV, IVAN V</creator><creator>RAZUMOV, IVAN A</creator><creator>NEKRASOV, VYACHESLAV M</creator><creator>SHVALOV, ALEXANDER N</creator><creator>SOINI, JUHANI T</creator><creator>MALTSEV, VALERI P</creator><creator>PETROV, ALEXANDER K</creator><creator>LOKTEV, VALERI B</creator><creator>CHERNYSHEV, ANDREI V</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>20001007</creationdate><title>Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding</title><author>SUROVTSEV, IVAN V ; RAZUMOV, IVAN A ; NEKRASOV, VYACHESLAV M ; SHVALOV, ALEXANDER N ; SOINI, JUHANI T ; MALTSEV, VALERI P ; PETROV, ALEXANDER K ; LOKTEV, VALERI B ; CHERNYSHEV, ANDREI V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c340t-f5ca585351dd8e7513eea496c2db82b8d094a89419e0c693cee9e6624c853bb73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2000</creationdate><topic>Animals</topic><topic>Computer Simulation</topic><topic>Flow Cytometry</topic><topic>Hybridomas - cytology</topic><topic>Hybridomas - metabolism</topic><topic>Immunoglobulin G - metabolism</topic><topic>Mice</topic><topic>Models, Biological</topic><topic>Models, Statistical</topic><topic>Protein Binding</topic><topic>Rabbits</topic><topic>Receptors, IgG - metabolism</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>SUROVTSEV, IVAN V</creatorcontrib><creatorcontrib>RAZUMOV, IVAN A</creatorcontrib><creatorcontrib>NEKRASOV, VYACHESLAV M</creatorcontrib><creatorcontrib>SHVALOV, ALEXANDER N</creatorcontrib><creatorcontrib>SOINI, JUHANI T</creatorcontrib><creatorcontrib>MALTSEV, VALERI P</creatorcontrib><creatorcontrib>PETROV, ALEXANDER K</creatorcontrib><creatorcontrib>LOKTEV, VALERI B</creatorcontrib><creatorcontrib>CHERNYSHEV, ANDREI V</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>SUROVTSEV, IVAN V</au><au>RAZUMOV, IVAN A</au><au>NEKRASOV, VYACHESLAV M</au><au>SHVALOV, ALEXANDER N</au><au>SOINI, JUHANI T</au><au>MALTSEV, VALERI P</au><au>PETROV, ALEXANDER K</au><au>LOKTEV, VALERI B</au><au>CHERNYSHEV, ANDREI V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding</atitle><jtitle>Journal of theoretical biology</jtitle><addtitle>J Theor Biol</addtitle><date>2000-10-07</date><risdate>2000</risdate><volume>206</volume><issue>3</issue><spage>407</spage><epage>417</epage><pages>407-417</pages><issn>0022-5193</issn><eissn>1095-8541</eissn><abstract>A statistical approach is presented to model the kinetics of cell distribution in the process of ligand–receptor binding on cell surfaces. The approach takes into account the variation of the amount of receptors on cells assuming the homogeneity of monovalent binding sites and ligand molecules. The analytical expressions for the kinetics of cell distribution have been derived in the reaction-limited approximation. In order to demonstrate the applicability of the mathematical model, the kinetics of binding the rabbit, anti-mouse IgG with Ig-receptors of the murine hybridoma cells has been measured. Anti-mouse IgG was labeled with fluorescein isothiocyanate (FITC). The kinetics of cell distribution on ligand–receptor complexes was observed during the reaction process by real-time measuring of the fluorescence and light-scattering traces of individual cells with the scanning flow cytometer. The experimental data were fitted by the mathematical model in order to obtain the binding rate constant and the initial cell distribution on the amount of receptors.</abstract><cop>England</cop><pub>Elsevier Ltd</pub><pmid>10988026</pmid><doi>10.1006/jtbi.2000.2136</doi><tpages>11</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0022-5193 |
| ispartof | Journal of theoretical biology, 2000-10, Vol.206 (3), p.407-417 |
| issn | 0022-5193 1095-8541 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_72270648 |
| source | MEDLINE; Elsevier ScienceDirect Journals |
| subjects | Animals Computer Simulation Flow Cytometry Hybridomas - cytology Hybridomas - metabolism Immunoglobulin G - metabolism Mice Models, Biological Models, Statistical Protein Binding Rabbits Receptors, IgG - metabolism |
| title | Mathematical Modeling the Kinetics of Cell Distribution in the Process of Ligand–Receptor Binding |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-18T19%3A41%3A04IST&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=Mathematical%20Modeling%20the%20Kinetics%20of%20Cell%20Distribution%20in%20the%20Process%20of%20Ligand%E2%80%93Receptor%20Binding&rft.jtitle=Journal%20of%20theoretical%20biology&rft.au=SUROVTSEV,%20IVAN%20V&rft.date=2000-10-07&rft.volume=206&rft.issue=3&rft.spage=407&rft.epage=417&rft.pages=407-417&rft.issn=0022-5193&rft.eissn=1095-8541&rft_id=info:doi/10.1006/jtbi.2000.2136&rft_dat=%3Cproquest_cross%3E72270648%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=72270648&rft_id=info:pmid/10988026&rft_els_id=S0022519300921362&rfr_iscdi=true |