Multiobjective Optimal Control of HIV Dynamics
Joint Authors
Zarei, Hassan
Kamyad, Ali Vahidian
Effati, Sohrab
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-24
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
Various aspects of the interaction of HIV with the human immune system can be modeled by a system of ordinary differential equations.
This model is utilized, and a multiobjective optimal control problem (MOOCP) is proposed to maximize the CD4+ T cells population and minimize both the viral load and drug costs.
The weighted sum method is used, and continuous Pareto optimal solutions are derived by solving the corresponding optimality system.
Moreover, a model predictive control (MPC) strategy is applied, with the final goal of implementing Pareto optimal structured treatment interruptions (STI) protocol.
In particular, by using a fuzzy approach, the MOOCP is converted to a single-objective optimization problem to derive a Pareto optimal solution which among other Pareto optimal solutions has the best satisfaction performance.
Then, by using an embedding method, the problem is transferred into a modified problem in an appropriate space in which the existence of solution is guaranteed by compactness of the space.
The metamorphosed problem is approximated by a linear programming (LP) model, and a piecewise constant solution which shows the desired combinations of reverse transcriptase inhibitor (RTI) and protease inhibitor (PI) drug efficacies is achieved.
American Psychological Association (APA)
Zarei, Hassan& Kamyad, Ali Vahidian& Effati, Sohrab. 2011. Multiobjective Optimal Control of HIV Dynamics. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-29.
https://search.emarefa.net/detail/BIM-481394
Modern Language Association (MLA)
Zarei, Hassan…[et al.]. Multiobjective Optimal Control of HIV Dynamics. Mathematical Problems in Engineering No. 2010 (2010), pp.1-29.
https://search.emarefa.net/detail/BIM-481394
American Medical Association (AMA)
Zarei, Hassan& Kamyad, Ali Vahidian& Effati, Sohrab. Multiobjective Optimal Control of HIV Dynamics. Mathematical Problems in Engineering. 2011. Vol. 2010, no. 2010, pp.1-29.
https://search.emarefa.net/detail/BIM-481394
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481394