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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2002
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32774302 |
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Table of Contents:
- Short and long period optimization of drug doses in the treatment of AIDS Marco A. L. Caetano Takashi Yoneyama Multidisciplinaria (Ciencias Naturales y Exactas) AIDS drugs modeling treatment simulation Numerical optimization techniques are useful in solving problems of computing the best inputs forsystems described by mathematical models and when the objectives can be stated in a quantitativeform. This work concerns the problem of optimizing the drug doses in the treatment of AIDS interms of achieving a balance between the therapeutic response and the side effects. Amathematicalmodel describing the dynamics of HIV viruses and CD4 cells is used to compute the short termoptimal drug doses in the treatments of patients with AIDS by a direct method of optimizationusing a cost function of Bolza type. The model parameters were fitted to actual published clinicaldata. In order to simplify the numerical procedures, the control law is expressed as a series andthe sub-optimal control is obtained by truncating the higher terms. When the patient reaches aclinically satisfactory state, the LQR Linear Quadratic Regulator technique is used to determinethe long period maintenance doses for the drugs. The doses computed using the LQR techniquetend to be smaller than equivalent constant-dose therapy in terms of increase in the counts ofCD4+T cells and reduction of the density of free viruses. 2002 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32774302 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.3 Vol.74