Short and long period optimization of drug doses in the treatment of AIDS
An. acad. bras. ciênc
; 74(3): 379-392, Sept. 2002. ilus, tab, graf
Article
em En
| LILACS
| ID: lil-320132
Biblioteca responsável:
BR1.1
RESUMO
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 treatments of patients with AIDS by a direct method of optimization using a cost function of Bolza type. The model parameters were fitted to actual published clinical data. In order to simplify the numerical procedures, the control law is expressed as a series and the sub-optimal control is obtained by truncating the higher terms. When the patient reaches a clinically satisfactory state, the LQR - Linear Quadratic Regulator technique is used to determine the long period maintenance doses for the drugs. The doses computed using the LQR technique tend to be smaller than equivalent constant-dose therapy in terms of increase in the counts of CD4+T cells and reduction of the density of free viruses
Texto completo:
1
Coleções:
01-internacional
Base de dados:
LILACS
Assunto principal:
Síndrome da Imunodeficiência Adquirida
/
Inibidores da Protease de HIV
/
Inibidores da Transcriptase Reversa
/
Fármacos Anti-HIV
/
Modelos Teóricos
Tipo de estudo:
Prognostic_studies
Limite:
Humans
Idioma:
En
Revista:
An. acad. bras. ciênc
Assunto da revista:
CIENCIA
Ano de publicação:
2002
Tipo de documento:
Article
País de afiliação:
Brasil