BSU Bulletin. Mathematics, Informatics
Bibliographic description:
OPTIMIZATION FORMALIZATION OF DIABETES TREATMENT PROCEDURE // BSU Bulletin. Mathematics, Informatics. - 2023. №2. . - С. 49-54.
Title:
OPTIMIZATION FORMALIZATION OF DIABETES TREATMENT PROCEDURE
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A formalization of the problem associated with diabetes therapy based on successive injections of insulin in order to minimize the quadratic deviation of the cur- rent glucose concentration from the normal level is given. Modeling of this procedure is carried out in a continuous-discrete version in the terminology of optimal control. The phase system is described by differential equations, permissible controls, phase constraints and the target functional are formalized in discrete time on a given grid of values. As a result, a special quadratic programming problem is constructed, which allows an effective solution in a finite number of iterations.
Keywords:
diabetes treatment procedure, optimization in continuous-discrete time, quadratic programming problem.
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