An in-host model of HIV incorporating latent infection and viral mutation. (English) Zbl 1418.37137
Summary: We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is presented which characterizes the long time behavior of the model. Finally, we study the effects of an antiretroviral drug and treatment implications.
MSC:
| 37N25 | Dynamical systems in biology |
| 92B05 | General biology and biomathematics |
| 92C20 | Neural biology |
References:
| [1] | M. Nowak, <em>Virus Dynamics: Mathematical Principles of Immunology and Virology</em>,, Oxford University Press (2000) · Zbl 1101.92028 |
| [2] | S. Pankavich, The effects of latent infection on the dynamics of HIV,, Differential Equations and Dynamical Systems, 12591 (2015) |
| [3] | C. Parkinson, Mathematical Analysis of an in-host Model of Viral Dynamics with Spatial Heterogeneity,, submitted. · Zbl 1346.35094 |
| [4] | A. Perelson, Dynamics of HIV Infection of \(CD4^+\) T cells,, Math. Biosci., 114, 81 (1993) · Zbl 0796.92016 |
| [5] | A. Perelson, Mathematical analysis of HIV-1 dynamics in vivo,, SIAM Review, 41, 3 (1999) · Zbl 1078.92502 |
| [6] | A. Perelson, Modeling the within-host dynamics of HIV infection,, BMC Biology, 11 (2013) |
| [7] | P. Roemer, Analysis and Simulation of the three-component model of HIV dynamics,, SIAM Undergraduate Research Online, 7, 89 (2014) |
| [8] | L. Rong, Emergence of HIV-1 drug resistance during antiretroviral treatment,, Bull. Math. Biol., 69, 2027 (2007) · Zbl 1298.92053 |
| [9] | L. Rong, Modeling HIV persistence, the latent reservoir, and viral blips,, Journal of Theoretical Biology, 260, 308 (2009) · Zbl 1402.92409 |
| [10] | L. Rong, Modeling Latently Infected Cell Activation: Viral and Latent Reservoir Persistence, and Viral Blips in HIV-infected Patients on Potent Therapy,, PLoS Computational Biology, 5 (2009) |
| [11] | R. Shonkwiler, An Introduction with Maple and Matlab,, in Undergraduate Texts in Mathematics: Mathematical Biology (2009) · Zbl 1311.92004 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
