Journal article
Optimal control in HIV chemotherapy with termination viral load and latent reservoir
Mathematical biosciences and engineering : MBE, Vol.16(2), pp.619-635
01/14/2019
Handle:
https://hdl.handle.net/2376/101675
PMID: 30861659
Abstract
Although a number of cost-e ective strategies have been proposed for the chemotherapy of HIV infection, the termination level of viral load and latent reservoir is barely considered. However, the viral load at the termination time is an important biomarker because suppressing viral load to below the detection limit is a major objective of current antiretroviral therapy. The pool size of latently infected cells at the termination time may also play a critical role in predicting a rapid viral rebound to the pretreatment level or post-treatment control. In this work, we formulate an optimal control problem by incorporating the termination level in terms of viral load, latently and productively infected T cells into an existing HIV model. The necessary condition for this optimal system is derived using the Pontryagin's maximum principle. Numerical analysis is carried out using Runge-Kutta 4 method for the forward-backward sweep. Our results suggest that introducing the termination viral load into the control provides a better strategy in HIV chemotherapy.
Metrics
5 Record Views
Details
- Title
- Optimal control in HIV chemotherapy with termination viral load and latent reservoir
- Creators
- Damilola Olabode - Department of Mathematics and Statistics, Washington State University, Pullman, WA 99164, USALibin RongXueying Wang
- Publication Details
- Mathematical biosciences and engineering : MBE, Vol.16(2), pp.619-635
- Academic Unit
- Mathematics and Statistics, Department of
- Publisher
- United States
- Identifiers
- 99900546686301842
- Language
- English
- Resource Type
- Journal article