Mathematical modelling of the interactions between antibodies and virus
A mathematical model describing the interactions between viral infection and humoral immune system is proposed. The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated.
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creator | Kolev, M.K. |
description | A mathematical model describing the interactions between viral infection and humoral immune system is proposed. The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated. |
doi_str_mv | 10.1109/HSI.2008.4581465 |
format | Conference Proceeding |
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The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated.</description><identifier>ISSN: 2158-2246</identifier><identifier>ISBN: 142441542X</identifier><identifier>ISBN: 9781424415427</identifier><identifier>EISBN: 9781424415434</identifier><identifier>EISBN: 1424415438</identifier><identifier>DOI: 10.1109/HSI.2008.4581465</identifier><identifier>LCCN: 2007905110</identifier><language>eng</language><publisher>IEEE</publisher><subject>AB - antibodies ; AbsTol - absolute tolerance ; antibodies ; Biological system modeling ; Computational modeling ; CTL - cytotoxic T lymphocytes ; cytopathic virus ; humoral immunity ; Immune system ; integro-differential equations ; kinetic models ; Kinetic theory ; LCMV - lymphocytic choriomeningitis virus ; Mathematical model ; ODE - ordinary differential equations ; RelTol - relative tolerance ; Tumors ; Viruses (medical)</subject><ispartof>2008 Conference on Human System Interactions, 2008, p.365-368</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4581465$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4581465$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Kolev, M.K.</creatorcontrib><title>Mathematical modelling of the interactions between antibodies and virus</title><title>2008 Conference on Human System Interactions</title><addtitle>HSI</addtitle><description>A mathematical model describing the interactions between viral infection and humoral immune system is proposed. The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated.</description><subject>AB - antibodies</subject><subject>AbsTol - absolute tolerance</subject><subject>antibodies</subject><subject>Biological system modeling</subject><subject>Computational modeling</subject><subject>CTL - cytotoxic T lymphocytes</subject><subject>cytopathic virus</subject><subject>humoral immunity</subject><subject>Immune system</subject><subject>integro-differential equations</subject><subject>kinetic models</subject><subject>Kinetic theory</subject><subject>LCMV - lymphocytic choriomeningitis virus</subject><subject>Mathematical model</subject><subject>ODE - ordinary differential equations</subject><subject>RelTol - relative tolerance</subject><subject>Tumors</subject><subject>Viruses (medical)</subject><issn>2158-2246</issn><isbn>142441542X</isbn><isbn>9781424415427</isbn><isbn>9781424415434</isbn><isbn>1424415438</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2008</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNo1kDFPwzAUhI2gEm3JjsTiP5BgPz8n9ogqaCsVMdCBrXLiFzBKExQbEP-eSJTpvjvpbjjGrqUopBT2dvO8LUAIU6A2Ekt9xjJbTQSIUqPCc7b4N_ByweYgtckBsJyxxdSrrNDTziXLYnwXQihpjAU5Z-tHl97o6FJoXMePg6euC_0rH1o-5Tz0iUbXpDD0kdeUvol67voU6sEHihN6_hXGz3jFZq3rImUnXbL9w_1-tcl3T-vt6m6XBytSDo3zKJxC6ZGElVUtoDW6BPKKqFFkfFujLp2FtvaV0qqBUtaElXFowaglu_mbDUR0-BjD0Y0_h9Mn6heqNVEm</recordid><startdate>200805</startdate><enddate>200805</enddate><creator>Kolev, M.K.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>200805</creationdate><title>Mathematical modelling of the interactions between antibodies and virus</title><author>Kolev, M.K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i90t-2cad40a341d4e0917b02f8562ed3eec3e8dfb456a92fbd7353c261be478a49283</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2008</creationdate><topic>AB - antibodies</topic><topic>AbsTol - absolute tolerance</topic><topic>antibodies</topic><topic>Biological system modeling</topic><topic>Computational modeling</topic><topic>CTL - cytotoxic T lymphocytes</topic><topic>cytopathic virus</topic><topic>humoral immunity</topic><topic>Immune system</topic><topic>integro-differential equations</topic><topic>kinetic models</topic><topic>Kinetic theory</topic><topic>LCMV - lymphocytic choriomeningitis virus</topic><topic>Mathematical model</topic><topic>ODE - ordinary differential equations</topic><topic>RelTol - relative tolerance</topic><topic>Tumors</topic><topic>Viruses (medical)</topic><toplevel>online_resources</toplevel><creatorcontrib>Kolev, M.K.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kolev, M.K.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Mathematical modelling of the interactions between antibodies and virus</atitle><btitle>2008 Conference on Human System Interactions</btitle><stitle>HSI</stitle><date>2008-05</date><risdate>2008</risdate><spage>365</spage><epage>368</epage><pages>365-368</pages><issn>2158-2246</issn><isbn>142441542X</isbn><isbn>9781424415427</isbn><eisbn>9781424415434</eisbn><eisbn>1424415438</eisbn><abstract>A mathematical model describing the interactions between viral infection and humoral immune system is proposed. The model is formulated in terms of a system of partial integro-differential bilinear equations. The roles of the antibodies and the cytopathicity of the virus are investigated.</abstract><pub>IEEE</pub><doi>10.1109/HSI.2008.4581465</doi><tpages>4</tpages></addata></record> |
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identifier | ISSN: 2158-2246 |
ispartof | 2008 Conference on Human System Interactions, 2008, p.365-368 |
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language | eng |
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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | AB - antibodies AbsTol - absolute tolerance antibodies Biological system modeling Computational modeling CTL - cytotoxic T lymphocytes cytopathic virus humoral immunity Immune system integro-differential equations kinetic models Kinetic theory LCMV - lymphocytic choriomeningitis virus Mathematical model ODE - ordinary differential equations RelTol - relative tolerance Tumors Viruses (medical) |
title | Mathematical modelling of the interactions between antibodies and virus |
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