2002
DOI: 10.1590/s0001-37652002000300002 View full text |Buy / Rent full text
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Abstract: Numerical optimization techniques are useful in solving problems of computing the best inputs for systems described by mathematical models and when the objectives can be stated in a quantitative form. This work concerns the problem of optimizing the drug doses in the treatment of AIDS in terms of achieving a balance between the therapeutic response and the side effects. A mathematical model describing the dynamics of HIV viruses and CD4 cells is used to compute the short term optimal drug doses in the treatmen… Show more

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“…In [33,34,35] all effects of a HAART medication are combined and represented by one control variable in the model. In [2,11,17,21,28] dynamical multidrug therapies based on RTIs and PIs are designed. In these proposed therapies the dosage of both medications can change independently of each other and can either be continuous or on-off types.…”
Section: Introductionmentioning
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“…In [33,34,35] all effects of a HAART medication are combined and represented by one control variable in the model. In [2,11,17,21,28] dynamical multidrug therapies based on RTIs and PIs are designed. In these proposed therapies the dosage of both medications can change independently of each other and can either be continuous or on-off types.…”
Section: Introductionmentioning
“…In these proposed therapies the dosage of both medications can change independently of each other and can either be continuous or on-off types. Studies of continuously varying medical therapies have been more common, see, e.g., [1,3,9,10,11,13,14,17,18,20,22,28,30]. More recently, the on-off type of treatment, which is also known as a structured treatment interruption (STI), has attracted a lot of attention in the medical literature (see for example, [1,2,4] and the references therein).…”
Section: Introductionmentioning
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“…The chosen performance index tries to make a compromise between the side effects and the therapeutic effects, reflected by the CD4 count and a the viral load and it has been used before in [3]: The biological interpretation of the proposed cost functional is that the two first terms out of integral represent the target of maximizing non-infected CD4 cells and also to minimize the viral load after a pre-specified time horizon.…”
Section: -Direct Methodsmentioning
“…Also, it is possible to use optimal control theory to reduce the side effects during a short-term treatment scheme while adequate therapeutic results are obtained (see [2]). Caetano & Yoneyama also carried out a comparative study and two optimization methods [3]. Responses corresponding to the actual observed data and simulation data were compared in terms of long-term period and shortterm period drug administration strategies.…”
Section: -Introductionmentioning