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- W125601791 abstract "Mathematical models are often used to solve decision problems. A typical decision problem in clinical practice is that of optimal dosage of drugs, i.e. the choice of a dosage regimen in order to maintain a therapeutic level for a long time without producing serious side effects (see e.g.l). If a drug is encapsulated within a given volume of erythrocytes for treatment, the values of two parameters must be determined in order to obtain a desired result: the volume of erythrocytes prepared and the amount of the drug which is loaded inside them. In this paper an optimal control problem is formulated on the basis of a mathematical model which has been recently proposed in2 and3 to describe the administration of a drug after having encapsulated it inside erythrocytes as a non-diffusible prodrug. This model allows us to obtain an estimate of the maximum concentration of the drug in the plasma, and from this information we can recognize the set of allowable decisions (or admissible controls) which is the set of values of the control parameters which lead to therapeutic and non-toxic drug concentration in plasma. The solution of the optimal control problem indicates that in the set of admissible control parameters a unique point exists which gives the maximum time of therapeutic effect without reaching a toxic concentration. This point represents the optimal dosage strategy." @default.
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- W125601791 date "1992-01-01" @default.
- W125601791 modified "2023-09-23" @default.
- W125601791 title "An Optimal Control Problem for the Administration of a Drug by Using Red Blood Cells as Bioreactors" @default.
- W125601791 cites W1963988819 @default.
- W125601791 cites W2085459671 @default.
- W125601791 doi "https://doi.org/10.1007/978-1-4615-3030-5_31" @default.
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- W125601791 hasPublicationYear "1992" @default.
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