Vol. 8, No. 3, 2015

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 2, 183–362
Issue 1, 1–182

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 8 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 5 issues

Volume 7, 6 issues

Volume 6, 4 issues

Volume 5, 4 issues

Volume 4, 4 issues

Volume 3, 4 issues

Volume 2, 5 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Editors' interests
 
Subscriptions
 
ISSN (electronic): 1944-4184
ISSN (print): 1944-4176
 
Author index
To appear
 
Other MSP journals
A mathematical model for the emergence of HIV drug resistance during periodic bang-bang type antiretroviral treatment

Nicoleta Tarfulea and Paul Read

Vol. 8 (2015), No. 3, 401–420
Abstract

In treating HIV infection, strict adherence to drug therapy is crucial in maintaining a low viral load, but the high dosages required for this often have toxic side effects which make perfect adherence to antiretroviral therapy (ART) unsustainable. Moreover, even in the presence of drug therapy, ongoing viral replication can lead to the emergence of drug-resistant virus variances. We introduce a mathematical model that incorporates two viral strains, wild-type and drug-resistant, to theoretically and numerically investigate HIV pathogenesis during ART. A periodic model of bang-bang type is employed to estimate the drug efficacies. Furthermore, we numerically investigate the antiviral response and we characterize successful drugs or drug combination scenarios for both strains of the virus.

Keywords
HIV dynamics, time-varying antiretroviral treatment, drug resistance
Mathematical Subject Classification 2010
Primary: 92D30
Secondary: 92B05, 34A34
Milestones
Received: 6 July 2011
Revised: 8 August 2013
Accepted: 31 May 2014
Published: 5 June 2015

Communicated by Suzanne Lenhart
Authors
Nicoleta Tarfulea
Mathematics, Computer Science and Statistics
Purdue University Calumet
2200 169th Street
Hammond, IN 46323
United States
Paul Read
Purdue University Calumet
2200 196th Street
Hammond, IN 46323
United States