Open AccessOptimal Control Strategy for a Fully Determined HIV Model
Author(s) -
Mohammad Shirazian,
Mohammad Hadi Farahi
Publication year - 2010
Publication title -
intelligent control and automation
Language(s) - English
Resource type - Journals
eISSN - 2153-0661
pISSN - 2153-0653
DOI - 10.4236/ica.2010.11002
Subject(s) - discretization , human immunodeficiency virus (hiv) , reverse transcriptase inhibitor , viral load , reverse transcriptase , control (management) , computer science , mathematics , mathematical optimization , medicine , virology , antiretroviral therapy , biology , artificial intelligence , mathematical analysis , biochemistry , rna , gene
This paper shows how mathematical methods can be implemented to formulate guidelines for clinical testing and monitoring of HIV/AIDS disease. First, a mathematical model for HIV infection is presented which the measurement of the CD4+T cells and the viral load counts are needed to estimate all its parameters. Next, through an analysis of model properties, the minimal number of measurement samples is obtained. In the sequel, the effect of Reverse Transcriptase enzyme Inhibitor (RTI) on HIV progression is demonstrated by using a control function. Also the total cost of treatment by this kind of drugs has been minimized. The numerical results are obtained by a numerical method in discretization issue, called AVK
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom