Asymptotic analysis of a nonlinear integro-differential system modeling the immune response
This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the c...
Gespeichert in:
Veröffentlicht in: | Computers & mathematics with applications (1987) 2014-11, Vol.68 (9), p.905-914 |
---|---|
Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 914 |
---|---|
container_issue | 9 |
container_start_page | 905 |
container_title | Computers & mathematics with applications (1987) |
container_volume | 68 |
creator | Bellouquid, A. CH-Chaoui, M. |
description | This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the competition before the onset of proliferation. The analysis gives evidence how parameters and initial conditions influence the asymptotic behaviors of solutions. |
doi_str_mv | 10.1016/j.camwa.2014.05.018 |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1660066015</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0898122114002119</els_id><sourcerecordid>1660066015</sourcerecordid><originalsourceid>FETCH-LOGICAL-c381t-48e0765fcca9a77d0d78da8850028d030d1cc8d8a7440b33b38f1a29a129efeb3</originalsourceid><addsrcrecordid>eNp9kD1PwzAQQC0EEqXwC1g8siSc43w4A0NV8SVVYoGJwXLtS3GV2MF2Qf33pJSZ4XTLeyfdI-SaQc6A1bfbXKvhW-UFsDKHKgcmTsiMiYZnTV2LUzID0YqMFQU7JxcxbgGg5AXMyPsi7ocx-WQ1VU71-2gj9R1V1HnXW4cqUOsSboLPjO06DOiSVT2N-5hwoIM3OGEbmj6Q2mHYOaQB4-hdxEty1qk-4tXfnpO3h_vX5VO2enl8Xi5WmeaCpawUCE1ddVqrVjWNAdMIo4SoAAphgINhWgsjVFOWsOZ8zUXHVNEqVrTY4ZrPyc3x7hj85w5jkoONGvteOfS7KFldA0zDqgnlR1QHH2PATo7BDirsJQN5SCm38jelPKSUUMkp5WTdHS2cvviyGGTUFp1GYwPqJI23__o_hPZ_kA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1660066015</pqid></control><display><type>article</type><title>Asymptotic analysis of a nonlinear integro-differential system modeling the immune response</title><source>Elsevier ScienceDirect Journals Complete - AutoHoldings</source><source>EZB-FREE-00999 freely available EZB journals</source><creator>Bellouquid, A. ; CH-Chaoui, M.</creator><creatorcontrib>Bellouquid, A. ; CH-Chaoui, M.</creatorcontrib><description>This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the competition before the onset of proliferation. The analysis gives evidence how parameters and initial conditions influence the asymptotic behaviors of solutions.</description><identifier>ISSN: 0898-1221</identifier><identifier>EISSN: 1873-7668</identifier><identifier>DOI: 10.1016/j.camwa.2014.05.018</identifier><language>eng</language><publisher>Elsevier Ltd</publisher><subject>Active particles ; Asymptotic analysis ; Asymptotic properties ; Biological system ; Competition ; Computer simulation ; Cytokines ; Initial conditions ; Initial value problem ; Kinetic theory ; Mathematical models ; Mutations ; Nonlinearity</subject><ispartof>Computers & mathematics with applications (1987), 2014-11, Vol.68 (9), p.905-914</ispartof><rights>2014 Elsevier Ltd</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c381t-48e0765fcca9a77d0d78da8850028d030d1cc8d8a7440b33b38f1a29a129efeb3</citedby><cites>FETCH-LOGICAL-c381t-48e0765fcca9a77d0d78da8850028d030d1cc8d8a7440b33b38f1a29a129efeb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.camwa.2014.05.018$$EHTML$$P50$$Gelsevier$$Hfree_for_read</linktohtml><link.rule.ids>314,780,784,3548,27922,27923,45993</link.rule.ids></links><search><creatorcontrib>Bellouquid, A.</creatorcontrib><creatorcontrib>CH-Chaoui, M.</creatorcontrib><title>Asymptotic analysis of a nonlinear integro-differential system modeling the immune response</title><title>Computers & mathematics with applications (1987)</title><description>This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the competition before the onset of proliferation. The analysis gives evidence how parameters and initial conditions influence the asymptotic behaviors of solutions.</description><subject>Active particles</subject><subject>Asymptotic analysis</subject><subject>Asymptotic properties</subject><subject>Biological system</subject><subject>Competition</subject><subject>Computer simulation</subject><subject>Cytokines</subject><subject>Initial conditions</subject><subject>Initial value problem</subject><subject>Kinetic theory</subject><subject>Mathematical models</subject><subject>Mutations</subject><subject>Nonlinearity</subject><issn>0898-1221</issn><issn>1873-7668</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQQC0EEqXwC1g8siSc43w4A0NV8SVVYoGJwXLtS3GV2MF2Qf33pJSZ4XTLeyfdI-SaQc6A1bfbXKvhW-UFsDKHKgcmTsiMiYZnTV2LUzID0YqMFQU7JxcxbgGg5AXMyPsi7ocx-WQ1VU71-2gj9R1V1HnXW4cqUOsSboLPjO06DOiSVT2N-5hwoIM3OGEbmj6Q2mHYOaQB4-hdxEty1qk-4tXfnpO3h_vX5VO2enl8Xi5WmeaCpawUCE1ddVqrVjWNAdMIo4SoAAphgINhWgsjVFOWsOZ8zUXHVNEqVrTY4ZrPyc3x7hj85w5jkoONGvteOfS7KFldA0zDqgnlR1QHH2PATo7BDirsJQN5SCm38jelPKSUUMkp5WTdHS2cvviyGGTUFp1GYwPqJI23__o_hPZ_kA</recordid><startdate>201411</startdate><enddate>201411</enddate><creator>Bellouquid, A.</creator><creator>CH-Chaoui, M.</creator><general>Elsevier Ltd</general><scope>6I.</scope><scope>AAFTH</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201411</creationdate><title>Asymptotic analysis of a nonlinear integro-differential system modeling the immune response</title><author>Bellouquid, A. ; CH-Chaoui, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c381t-48e0765fcca9a77d0d78da8850028d030d1cc8d8a7440b33b38f1a29a129efeb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Active particles</topic><topic>Asymptotic analysis</topic><topic>Asymptotic properties</topic><topic>Biological system</topic><topic>Competition</topic><topic>Computer simulation</topic><topic>Cytokines</topic><topic>Initial conditions</topic><topic>Initial value problem</topic><topic>Kinetic theory</topic><topic>Mathematical models</topic><topic>Mutations</topic><topic>Nonlinearity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Bellouquid, A.</creatorcontrib><creatorcontrib>CH-Chaoui, M.</creatorcontrib><collection>ScienceDirect Open Access Titles</collection><collection>Elsevier:ScienceDirect:Open Access</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Computers & mathematics with applications (1987)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Bellouquid, A.</au><au>CH-Chaoui, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Asymptotic analysis of a nonlinear integro-differential system modeling the immune response</atitle><jtitle>Computers & mathematics with applications (1987)</jtitle><date>2014-11</date><risdate>2014</risdate><volume>68</volume><issue>9</issue><spage>905</spage><epage>914</epage><pages>905-914</pages><issn>0898-1221</issn><eissn>1873-7668</eissn><abstract>This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the competition before the onset of proliferation. The analysis gives evidence how parameters and initial conditions influence the asymptotic behaviors of solutions.</abstract><pub>Elsevier Ltd</pub><doi>10.1016/j.camwa.2014.05.018</doi><tpages>10</tpages><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0898-1221 |
ispartof | Computers & mathematics with applications (1987), 2014-11, Vol.68 (9), p.905-914 |
issn | 0898-1221 1873-7668 |
language | eng |
recordid | cdi_proquest_miscellaneous_1660066015 |
source | Elsevier ScienceDirect Journals Complete - AutoHoldings; EZB-FREE-00999 freely available EZB journals |
subjects | Active particles Asymptotic analysis Asymptotic properties Biological system Competition Computer simulation Cytokines Initial conditions Initial value problem Kinetic theory Mathematical models Mutations Nonlinearity |
title | Asymptotic analysis of a nonlinear integro-differential system modeling the immune response |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-09T16%3A44%3A09IST&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=Asymptotic%20analysis%20of%20a%20nonlinear%20integro-differential%20system%20modeling%20the%20immune%20response&rft.jtitle=Computers%20&%20mathematics%20with%20applications%20(1987)&rft.au=Bellouquid,%20A.&rft.date=2014-11&rft.volume=68&rft.issue=9&rft.spage=905&rft.epage=914&rft.pages=905-914&rft.issn=0898-1221&rft.eissn=1873-7668&rft_id=info:doi/10.1016/j.camwa.2014.05.018&rft_dat=%3Cproquest_cross%3E1660066015%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=1660066015&rft_id=info:pmid/&rft_els_id=S0898122114002119&rfr_iscdi=true |