Abstract
The problem of optimal dosage is studied for the administration of ddCyd using erythrocytes as carriers and bioreactors. The volume of erythrocytes and the initial amount of drug to be loaded have to be determined in such a way that the duration of the therapeutic effect is maximized without exceeding the toxic threshold. It is found that the optimal control is unique and it is at the upper vertex of the set of the admissible controls. A more general case is also briefly discussed.
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Magnani, M., M. Bianchi, L. Rossi and V. Stocchi. 1989a. Human red blood cells as bioreactors for the release of 2′,3′-dideoxycytidine, an inhibitor of HIV infectivity.Biochem. Biophys. Res. Commun. 164, 446–452.
Magnani, M., M. Bianchi, L. Rossi and V. Stocchi. 1989b. 2′,3′-Dideoxycytidine permeation of the human erythrocytes membrane.Biochem. Int. 19, 227–234.
Mitsuya, H. and S. Broder. 1986. Inhibition of thein vitro infectivity and cytopathic effect of human T-lymphotrophic virus type III/lymphadenopathy-associated virus (HTLV-III/LAV) by 2′,3′-dideoxynucleoside.Proc. natn. Acad. Sci. U.S.A. 83, 1911–1915.
Solimano, F., G. I. Bischi, M. Bianchi, L. Rossi and M. Magnani. 1990. A nonlinear three-compartment model for the administration of 2′,3′-dideoxycytidine by using red blood cells as bioreactors.Bull. math. Biol. 52, 785–796.
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Beretta, E., Solimano, F. An optimal time control problem for the administration of 2′,3′-dideoxycytidine by using red blood cells as bioreactors. Bltn Mathcal Biology 55, 715–730 (1993). https://doi.org/10.1007/BF02460670
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DOI: https://doi.org/10.1007/BF02460670