Optimal Control of Drug Therapy in a Hepatitis B Model
| dc.contributor.author | Forde, Jonathan E. | en |
| dc.contributor.author | Ciupe, Stanca M. | en |
| dc.contributor.author | Cintron-Arias, Ariel | en |
| dc.contributor.author | Lenhart, Suzanne | en |
| dc.contributor.department | Mathematics | en |
| dc.date.accessioned | 2017-09-20T18:27:14Z | en |
| dc.date.available | 2017-09-20T18:27:14Z | en |
| dc.date.issued | 2016-08-03 | en |
| dc.date.updated | 2017-09-20T18:27:14Z | en |
| dc.description.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. | en |
| dc.description.version | Published version | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | 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. | en |
| dc.identifier.doi | https://doi.org/10.3390/app6080219 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/79288 | en |
| dc.language.iso | en | en |
| dc.publisher | MDPI | en |
| dc.rights | Creative Commons Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject | optimal control | en |
| dc.subject | hepatitis B | en |
| dc.subject | delay differential equations (DDE) | en |
| dc.subject | immune response | en |
| dc.subject | drug therapy | en |
| dc.title | Optimal Control of Drug Therapy in a Hepatitis B Model | en |
| dc.title.serial | Applied Sciences | en |
| dc.type | Article - Refereed | en |
| dc.type.dcmitype | Text | en |