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Optimal Control of Drug Therapy in a Hepatitis B Model

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dc.contributor.authorForde, Jonathan E.en
dc.contributor.authorCiupe, Stanca M.en
dc.contributor.authorCintron-Arias, Arielen
dc.contributor.authorLenhart, Suzanneen
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-09-20T18:27:14Zen
dc.date.available2017-09-20T18:27:14Zen
dc.date.issued2016-08-03en
dc.date.updated2017-09-20T18:27:14Zen
dc.description.abstractCombination antiviral drug therapy improves the survival rates of patients chronically infected with hepatitis B virus by controlling viral replication and enhancing immune responses. Some of these drugs have side effects that make them unsuitable for long-term administration. To address the trade-off between the positive and negative effects of the combination therapy, we investigated an optimal control problem for a delay differential equation model of immune responses to hepatitis virus B infection. Our optimal control problem investigates the interplay between virological and immunomodulatory effects of therapy, the control of viremia and the administration of the minimal dosage over a short period of time. Our numerical results show that the high drug levels that induce immune modulation rather than suppression of virological factors are essential for the clearance of hepatitis B virus.en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationForde, J.E.; Ciupe, S.M.; Cintron-Arias, A.; Lenhart, S. Optimal Control of Drug Therapy in a Hepatitis B Model. Appl. Sci. 2016, 6, 219.en
dc.identifier.doihttps://doi.org/10.3390/app6080219en
dc.identifier.urihttp://hdl.handle.net/10919/79288en
dc.language.isoenen
dc.publisherMDPIen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectoptimal controlen
dc.subjecthepatitis Ben
dc.subjectdelay differential equations (DDE)en
dc.subjectimmune responseen
dc.subjectdrug therapyen
dc.titleOptimal Control of Drug Therapy in a Hepatitis B Modelen
dc.title.serialApplied Sciencesen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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