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Appl. Sci. 2016, 6(8), 219; doi:10.3390/app6080219

Optimal Control of Drug Therapy in a Hepatitis B Model

1
Department of Mathematics and Computer Science, Hobart and William Smith Colleges, 300 Pulteney St., Geneva, NY 14456, USA
2
Department of Mathematics, Virginia Tech, 416 McBryde Hall, Blacksburg, VA 24061, USA
3
Department of Mathematics and Statistics, East Tennessee State University, Johnson City, TN 37614, USA
4
Department of Mathematics, University of Tennessee, Knoxville, TN 37996, USA
*
Authors to whom correspondence should be addressed.
Academic Editor: Yang Kuang
Received: 23 May 2016 / Revised: 24 July 2016 / Accepted: 26 July 2016 / Published: 3 August 2016
(This article belongs to the Special Issue Dynamical Models of Biology and Medicine)
View Full-Text   |   Download PDF [501 KB, uploaded 3 August 2016]   |  

Abstract

Combination 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. View Full-Text
Keywords: optimal control; hepatitis B; delay differential equations (DDE); immune response; drug therapy optimal control; hepatitis B; delay differential equations (DDE); immune response; drug therapy
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Forde, 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.

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