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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
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Abstract |
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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
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Mathematical Subject Classification 2010
Primary: 92D30
Secondary: 92B05, 34A34
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Milestones
Received: 6 July 2011
Revised: 8 August 2013
Accepted: 31 May 2014
Published: 5 June 2015
Communicated by Suzanne Lenhart
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Authors |
| Nicoleta Tarfulea | |
| Mathematics, Computer Science and
Statistics Purdue University Calumet 2200 169th Street Hammond, IN 46323 United States |
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| Paul Read | |
| Purdue University Calumet 2200 196th Street Hammond, IN 46323 United States |
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