Modeling Detection of HIV in Cuba
Identifieur interne : 000E43 ( Istex/Corpus ); précédent : 000E42; suivant : 000E44Modeling Detection of HIV in Cuba
Auteurs : Héctor De Arazoza ; Rachid Lounes ; Andres Sánchez ; Jorge Barrios ; Ying-Hen HsiehSource :
- Lecture Notes in Computer Science [ 0302-9743 ]
Abstract
Abstract: A nonlinear compartmental model is developed for the HIV detection system in Cuba with different types of detections, some random and others non-random. We analyze the dynamics of this system, compute the reproduction numbers, and use the data from the Cuban HIV/AIDS epidemic between 1986-2008 to fit the model. We obtain estimates for the detection-related parameters during two separate time periods to reflect the timeline of the implementation of various types of searches. The reproduction numbers for each time period are also computed from the sets of values of the parameters. We found that random screening is most important as a mean of surveillance. Moreover, local asymptotic stability for the Disease Free Equilibrium can be achieved if (i) random screening is sufficiently effective and (ii) infection by detected HIV-positive individuals is minimal. Our results highlight the importance of education for the known infectious for the purpose of preventing further infection. Fitting the 1986-2008 HIV data to obtain the model parameter estimates indicates that the HIV epidemic in Cuba is currently approaching an endemic equilibrium. A Genetic Algorithm is used.
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DOI: 10.1007/978-3-642-21498-1_66
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Modeling Detection of HIV in Cuba</title><author><name sortKey="De Arazoza, Hector" sort="De Arazoza, Hector" uniqKey="De Arazoza H" first="Héctor" last="De Arazoza">Héctor De Arazoza</name><affiliation><mods:affiliation>Facultad de Matemática y Computación, Universidad de la Habana, Cuba</mods:affiliation></affiliation><affiliation><mods:affiliation>LaboratoireMAP5, UMR-CNRS 8145, University Paris Descartes, 45 rue des Saints-Pères, 75270, Paris CEDEX 06, France</mods:affiliation></affiliation><affiliation><mods:affiliation>Laboratoire Paul Painlevé, U. 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We analyze the dynamics of this system, compute the reproduction numbers, and use the data from the Cuban HIV/AIDS epidemic between 1986-2008 to fit the model. We obtain estimates for the detection-related parameters during two separate time periods to reflect the timeline of the implementation of various types of searches. The reproduction numbers for each time period are also computed from the sets of values of the parameters. We found that random screening is most important as a mean of surveillance. Moreover, local asymptotic stability for the Disease Free Equilibrium can be achieved if (i) random screening is sufficiently effective and (ii) infection by detected HIV-positive individuals is minimal. Our results highlight the importance of education for the known infectious for the purpose of preventing further infection. Fitting the 1986-2008 HIV data to obtain the model parameter estimates indicates that the HIV epidemic in Cuba is currently approaching an endemic equilibrium. A Genetic Algorithm is used.</div></front></TEI><istex><corpusName>springer-ebooks</corpusName><author><json:item><name>Héctor de Arazoza</name><affiliations><json:string>Facultad de Matemática y Computación, Universidad de la Habana, Cuba</json:string><json:string>LaboratoireMAP5, UMR-CNRS 8145, University Paris Descartes, 45 rue des Saints-Pères, 75270, Paris CEDEX 06, France</json:string><json:string>Laboratoire Paul Painlevé, U. 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Technology</orgName><address><settlement>Madras</settlement><country key="IN">INDIA</country></address></affiliation></editor><editor><persName><forename type="first">Bernhard</forename><surname>Steffen</surname></persName><affiliation><orgName type="institution">University of Dortmund</orgName><address><settlement>Dortmund</settlement><country key="DE">GERMANY</country></address></affiliation></editor><editor><persName><forename type="first">Madhu</forename><surname>Sudan</surname></persName><affiliation><orgName type="institution">Massachusetts Institute of Technology</orgName><address><region>MA</region><country key="US">UNITED STATES</country></address></affiliation></editor><editor><persName><forename type="first">Demetri</forename><surname>Terzopoulos</surname></persName><affiliation><orgName type="institution">University of California</orgName><address><settlement>Los Angeles</settlement><region>CA</region><country key="US">UNITED STATES</country></address></affiliation></editor><editor><persName><forename type="first">Doug</forename><surname>Tygar</surname></persName><affiliation><orgName type="institution">University of California</orgName><address><settlement>Berkeley</settlement><region>CA</region><country key="US">UNITED STATES</country></address></affiliation></editor><editor><persName><forename type="first">Moshe</forename><forename type="first">Y.</forename><surname>Vardi</surname></persName><affiliation><orgName type="institution">Rice University</orgName><address><settlement>Houston</settlement><region>TX</region><country key="US">UNITED STATES</country></address></affiliation></editor><editor><persName><forename type="first">Gerhard</forename><surname>Weikum</surname></persName><affiliation><orgName type="institution">Max-Planck Institute of Computer Science</orgName><address><settlement>Saarbrücken</settlement><country key="DE">GERMANY</country></address></affiliation></editor><idno type="pISSN">0302-9743</idno><idno type="eISSN">1611-3349</idno><idno type="seriesID">558</idno></series></biblStruct></sourceDesc></fileDesc><profileDesc><abstract xml:lang="en"><head>Abstract</head><p>A nonlinear compartmental model is developed for the HIV detection system in Cuba with different types of detections, some random and others non-random. We analyze the dynamics of this system, compute the reproduction numbers, and use the data from the Cuban HIV/AIDS epidemic between 1986-2008 to fit the model. We obtain estimates for the detection-related parameters during two separate time periods to reflect the timeline of the implementation of various types of searches. The reproduction numbers for each time period are also computed from the sets of values of the parameters. We found that random screening is most important as a mean of surveillance. Moreover, local asymptotic stability for the Disease Free Equilibrium can be achieved if (i) random screening is sufficiently effective and (ii) infection by detected HIV-positive individuals is minimal. Our results highlight the importance of education for the known infectious for the purpose of preventing further infection. Fitting the 1986-2008 HIV data to obtain the model parameter estimates indicates that the HIV epidemic in Cuba is currently approaching an endemic equilibrium. A Genetic Algorithm is used.</p></abstract><textClass ana="subject"><keywords scheme="book-subject-collection"><list><label>SUCO11645</label><item><term>Computer Science</term></item></list></keywords></textClass><textClass ana="subject"><keywords scheme="book-subject"><list><label>I</label><item><term type="Primary">Computer Science</term></item><label>I23050</label><item><term type="Secondary" subtype="priority-1">Computational Biology/Bioinformatics</term></item><label>I2203X</label><item><term type="Secondary" subtype="priority-2">Pattern Recognition</term></item><label>I21017</label><item><term type="Secondary" subtype="priority-3">Artificial Intelligence (incl. Robotics)</term></item><label>I18030</label><item><term type="Secondary" subtype="priority-4">Data Mining and Knowledge Discovery</term></item><label>I18016</label><item><term type="Secondary" subtype="priority-5">Models and Principles</term></item><label>L15001</label><item><term type="Secondary" subtype="priority-6">Bioinformatics</term></item></list></keywords></textClass><langUsage><language ident="EN"></language></langUsage></profileDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/ark:/67375/HCB-NTK1KL45-C/fulltext.txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="corpus springer-ebooks not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" 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University</OrgName><OrgAddress><City>Lancaster</City><Country>UK</Country></OrgAddress></Affiliation><Affiliation ID="Aff2"><OrgName>Carnegie Mellon University</OrgName><OrgAddress><City>Pittsburgh</City><State>PA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff3"><OrgName>University of Surrey</OrgName><OrgAddress><City>Guildford</City><Country>UK</Country></OrgAddress></Affiliation><Affiliation ID="Aff4"><OrgName>Cornell University</OrgName><OrgAddress><City>Ithaca</City><State>NY</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff5"><OrgName>ETH Zurich</OrgName><OrgAddress><City>Zurich</City><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff6"><OrgName>Stanford University</OrgName><OrgAddress><City>Stanford</City><State>CA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff7"><OrgName>Weizmann Institute of Science</OrgName><OrgAddress><City>Rehovot</City><Country>Israel</Country></OrgAddress></Affiliation><Affiliation ID="Aff8"><OrgName>University of Bern</OrgName><OrgAddress><City>Bern</City><Country>Switzerland</Country></OrgAddress></Affiliation><Affiliation ID="Aff9"><OrgName>Indian Institute of Technology</OrgName><OrgAddress><City>Madras</City><Country>India</Country></OrgAddress></Affiliation><Affiliation ID="Aff10"><OrgName>University of Dortmund</OrgName><OrgAddress><City>Dortmund</City><Country>Germany</Country></OrgAddress></Affiliation><Affiliation ID="Aff11"><OrgName>Massachusetts Institute of Technology</OrgName><OrgAddress><State>MA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff12"><OrgName>University of California</OrgName><OrgAddress><City>Los Angeles</City><State>CA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff13"><OrgName>University of California</OrgName><OrgAddress><City>Berkeley</City><State>CA</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff14"><OrgName>Rice University</OrgName><OrgAddress><City>Houston</City><State>TX</State><Country>USA</Country></OrgAddress></Affiliation><Affiliation ID="Aff15"><OrgName>Max-Planck Institute of Computer Science</OrgName><OrgAddress><City>Saarbrücken</City><Country>Germany</Country></OrgAddress></Affiliation></EditorGroup></SeriesHeader><Book Language="En"><BookInfo BookProductType="Proceedings" ContainsESM="No" Language="En" MediaType="eBook" NumberingDepth="2" NumberingStyle="ContentOnly" OutputMedium="All" TocLevels="0"><BookID>978-3-642-21498-1</BookID><BookTitle>Advances in Computational Intelligence</BookTitle><BookSubTitle>11th International Work-Conference on Artificial Neural Networks, IWANN 2011, Torremolinos-Málaga, Spain, June 8-10, 2011, Proceedings, Part II</BookSubTitle><BookVolumeNumber>6692</BookVolumeNumber><BookSequenceNumber>6692</BookSequenceNumber><BookDOI>10.1007/978-3-642-21498-1</BookDOI><BookTitleID>270656</BookTitleID><BookPrintISBN>978-3-642-21497-4</BookPrintISBN><BookElectronicISBN>978-3-642-21498-1</BookElectronicISBN><BookChapterCount>85</BookChapterCount><BookCopyright><CopyrightHolderName>Springer Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2011</CopyrightYear></BookCopyright><BookSubjectGroup><BookSubject Code="I" Type="Primary">Computer Science</BookSubject><BookSubject Code="I23050" Priority="1" Type="Secondary">Computational Biology/Bioinformatics</BookSubject><BookSubject Code="I2203X" Priority="2" Type="Secondary">Pattern Recognition</BookSubject><BookSubject Code="I21017" Priority="3" Type="Secondary">Artificial Intelligence (incl. 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DisplayOrder="Western"><GivenName>Gonzalo</GivenName><FamilyName>Joya</FamilyName></EditorName><Contact><Email>gjoya@uma.es</Email></Contact></Editor><Affiliation ID="Aff16"><OrgDivision>Departament d’Enginyeria Electrònica</OrgDivision><OrgName>Universitat Politècnica de Catalunya (UPC)</OrgName><OrgAddress><Street>Campus Nord, Edificio C4, c/ Gran Capità s/n</Street><Postcode>08034</Postcode><City>Barcelona</City><Country>Spain</Country></OrgAddress></Affiliation><Affiliation ID="Aff17"><OrgDivision>Department of Computer Architecture and Computer Technology</OrgDivision><OrgName>University of Granada</OrgName><OrgAddress><Street>C/ Periodista Daniel Saucedo Aranda</Street><Postcode>18071</Postcode><City>Granada</City><Country>Spain</Country></OrgAddress></Affiliation><Affiliation ID="Aff18"><OrgDivision>Departamento Tecnologia Eletrónica</OrgDivision><OrgName>Universidad de Málaga</OrgName><OrgAddress><Street>Campus de Teatinos</Street><Postcode>29071</Postcode><City>Málaga</City><Country>Spain</Country></OrgAddress></Affiliation></EditorGroup></BookHeader><Part ID="Part10"><PartInfo TocLevels="0"><PartID>10</PartID><PartSequenceNumber>10</PartSequenceNumber><PartTitle>Biological and Bio-inspired Dynamical Systems</PartTitle><PartChapterCount>8</PartChapterCount><PartContext><SeriesID>558</SeriesID><BookTitle>Advances in Computational Intelligence</BookTitle></PartContext></PartInfo><Chapter ID="Chap66" Language="En"><ChapterInfo ChapterType="OriginalPaper" ContainsESM="No" NumberingDepth="2" NumberingStyle="ContentOnly" TocLevels="0"><ChapterID>66</ChapterID><ChapterDOI>10.1007/978-3-642-21498-1_66</ChapterDOI><ChapterSequenceNumber>66</ChapterSequenceNumber><ChapterTitle Language="En">Modeling Detection of HIV in Cuba</ChapterTitle><ChapterFirstPage>524</ChapterFirstPage><ChapterLastPage>531</ChapterLastPage><ChapterCopyright><CopyrightHolderName>Springer-Verlag Berlin Heidelberg</CopyrightHolderName><CopyrightYear>2011</CopyrightYear></ChapterCopyright><ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant><AbstractGrant Grant="OpenAccess"></AbstractGrant><BodyPDFGrant Grant="Restricted"></BodyPDFGrant><BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant><BibliographyGrant Grant="Restricted"></BibliographyGrant><ESMGrant Grant="Restricted"></ESMGrant></ChapterGrants><ChapterContext><SeriesID>558</SeriesID><PartID>10</PartID><BookID>978-3-642-21498-1</BookID><BookTitle>Advances in Computational Intelligence</BookTitle></ChapterContext></ChapterInfo><ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff19 Aff20 Aff22"><AuthorName DisplayOrder="Western"><GivenName>Héctor</GivenName><Particle>de</Particle><FamilyName>Arazoza</FamilyName></AuthorName><Contact><Email>arazoza@matcom.uh.cu</Email></Contact></Author><Author AffiliationIDS="Aff20"><AuthorName DisplayOrder="Western"><GivenName>Rachid</GivenName><FamilyName>Lounes</FamilyName></AuthorName><Contact><Email>rachid.lounes@parisdescartes.fr</Email></Contact></Author><Author AffiliationIDS="Aff19"><AuthorName DisplayOrder="Western"><GivenName>Andres</GivenName><FamilyName>Sánchez</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff19"><AuthorName DisplayOrder="Western"><GivenName>Jorge</GivenName><FamilyName>Barrios</FamilyName></AuthorName></Author><Author AffiliationIDS="Aff21"><AuthorName DisplayOrder="Western"><GivenName>Ying-Hen</GivenName><FamilyName>Hsieh</FamilyName></AuthorName><Contact><Email>hsieh@mail.cmu.edu.tw</Email></Contact></Author><Affiliation ID="Aff19"><OrgDivision>Facultad de Matemática y Computación</OrgDivision><OrgName>Universidad de la Habana</OrgName><OrgAddress><Country>Cuba</Country></OrgAddress></Affiliation><Affiliation ID="Aff20"><OrgDivision>LaboratoireMAP5, UMR-CNRS 8145</OrgDivision><OrgName>University Paris Descartes</OrgName><OrgAddress><Street>45 rue des Saints-Pères</Street><Postcode>75270</Postcode><City>Paris CEDEX 06</City><Country>France</Country></OrgAddress></Affiliation><Affiliation ID="Aff21"><OrgDivision>Department of Public Health and Center for Infectious Disease Education and Research</OrgDivision><OrgName>China Medical University Taichung</OrgName><OrgAddress><City>Taichung</City><Country>Taiwan</Country></OrgAddress></Affiliation><Affiliation ID="Aff22"><OrgDivision>Laboratoire Paul Painlevé</OrgDivision><OrgName>U. Lille 1</OrgName><OrgAddress><Postcode>59655</Postcode><City>Villeneuve d’Ascq Cedex</City><Country>France</Country></OrgAddress></Affiliation></AuthorGroup><Abstract ID="Abs1" Language="En"><Heading>Abstract</Heading><Para>A nonlinear compartmental model is developed for the HIV detection system in Cuba with different types of detections, some random and others non-random. We analyze the dynamics of this system, compute the reproduction numbers, and use the data from the Cuban HIV/AIDS epidemic between 1986-2008 to fit the model. We obtain estimates for the detection-related parameters during two separate time periods to reflect the timeline of the implementation of various types of searches. The reproduction numbers for each time period are also computed from the sets of values of the parameters. We found that random screening is most important as a mean of surveillance. Moreover, local asymptotic stability for the Disease Free Equilibrium can be achieved if (i) random screening is sufficiently effective and (ii) infection by detected HIV-positive individuals is minimal. Our results highlight the importance of education for the known infectious for the purpose of preventing further infection. Fitting the 1986-2008 HIV data to obtain the model parameter estimates indicates that the HIV epidemic in Cuba is currently approaching an endemic equilibrium. A Genetic Algorithm is used.</Para></Abstract></ChapterHeader><NoBody></NoBody></Chapter></Part></Book></Series></Publisher></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Modeling Detection of HIV in Cuba</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Modeling Detection of HIV in Cuba</title></titleInfo><name type="personal"><namePart type="given">Héctor</namePart><namePart type="family">de Arazoza</namePart><affiliation>Facultad de Matemática y Computación, Universidad de la Habana, Cuba</affiliation><affiliation>LaboratoireMAP5, UMR-CNRS 8145, University Paris Descartes, 45 rue des Saints-Pères, 75270, Paris CEDEX 06, France</affiliation><affiliation>Laboratoire Paul Painlevé, U. Lille 1, 59655, Villeneuve d’Ascq Cedex, France</affiliation><affiliation>E-mail: arazoza@matcom.uh.cu</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Rachid</namePart><namePart type="family">Lounes</namePart><affiliation>LaboratoireMAP5, UMR-CNRS 8145, University Paris Descartes, 45 rue des Saints-Pères, 75270, Paris CEDEX 06, France</affiliation><affiliation>E-mail: rachid.lounes@parisdescartes.fr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Andres</namePart><namePart type="family">Sánchez</namePart><affiliation>Facultad de Matemática y Computación, Universidad de la Habana, Cuba</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Jorge</namePart><namePart type="family">Barrios</namePart><affiliation>Facultad de Matemática y Computación, Universidad de la Habana, Cuba</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">Ying-Hen</namePart><namePart type="family">Hsieh</namePart><affiliation>Department of Public Health and Center for Infectious Disease Education and Research, China Medical University Taichung, Taichung, Taiwan</affiliation><affiliation>E-mail: hsieh@mail.cmu.edu.tw</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre displayLabel="OriginalPaper" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" type="conference" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-BFHXPBJJ-3">conference</genre><originInfo><publisher>Springer Berlin Heidelberg</publisher><place><placeTerm type="text">Berlin, Heidelberg</placeTerm></place><dateIssued encoding="w3cdtf">2011</dateIssued><copyrightDate encoding="w3cdtf">2011</copyrightDate></originInfo><language><languageTerm type="code" authority="rfc3066">en</languageTerm><languageTerm type="code" authority="iso639-2b">eng</languageTerm></language><abstract lang="en">Abstract: A nonlinear compartmental model is developed for the HIV detection system in Cuba with different types of detections, some random and others non-random. We analyze the dynamics of this system, compute the reproduction numbers, and use the data from the Cuban HIV/AIDS epidemic between 1986-2008 to fit the model. We obtain estimates for the detection-related parameters during two separate time periods to reflect the timeline of the implementation of various types of searches. The reproduction numbers for each time period are also computed from the sets of values of the parameters. We found that random screening is most important as a mean of surveillance. Moreover, local asymptotic stability for the Disease Free Equilibrium can be achieved if (i) random screening is sufficiently effective and (ii) infection by detected HIV-positive individuals is minimal. Our results highlight the importance of education for the known infectious for the purpose of preventing further infection. Fitting the 1986-2008 HIV data to obtain the model parameter estimates indicates that the HIV epidemic in Cuba is currently approaching an endemic equilibrium. A Genetic Algorithm is used.</abstract><relatedItem type="host"><titleInfo><title>Advances in Computational Intelligence</title><subTitle>11th International Work-Conference on Artificial Neural Networks, IWANN 2011, Torremolinos-Málaga, Spain, June 8-10, 2011, Proceedings, Part II</subTitle></titleInfo><name type="personal"><namePart type="given">Joan</namePart><namePart type="family">Cabestany</namePart><affiliation>Departament d’Enginyeria Electrònica, Universitat Politècnica de Catalunya (UPC), Campus Nord, Edificio C4, c/ Gran Capità s/n, 08034, Barcelona, Spain</affiliation><affiliation>E-mail: cabestan@eel.upc.es</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Ignacio</namePart><namePart type="family">Rojas</namePart><affiliation>Department of Computer Architecture and Computer Technology, University of Granada, C/ Periodista Daniel Saucedo Aranda, 18071, Granada, Spain</affiliation><affiliation>E-mail: irojas@ugr.es</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart type="given">Gonzalo</namePart><namePart type="family">Joya</namePart><affiliation>Departamento Tecnologia Eletrónica, Universidad de Málaga, Campus de Teatinos, 29071, Málaga, Spain</affiliation><affiliation>E-mail: gjoya@uma.es</affiliation><role><roleTerm type="text">editor</roleTerm></role></name><genre type="book-series" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0G6R5W5T-Z">book-series</genre><originInfo><publisher>Springer</publisher><copyrightDate encoding="w3cdtf">2011</copyrightDate><issuance>monographic</issuance></originInfo><subject><genre>Book-Subject-Collection</genre><topic authority="SpringerSubjectCodes" authorityURI="SUCO11645">Computer Science</topic></subject><subject><genre>Book-Subject-Group</genre><topic authority="SpringerSubjectCodes" authorityURI="I">Computer Science</topic><topic authority="SpringerSubjectCodes" authorityURI="I23050">Computational Biology/Bioinformatics</topic><topic authority="SpringerSubjectCodes" authorityURI="I2203X">Pattern Recognition</topic><topic authority="SpringerSubjectCodes" authorityURI="I21017">Artificial Intelligence (incl. 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