Automatic insulin correction system

Diabetes is one of the leading causes of death. This is due to the individual nature of the course of the disease. The algorithm of the therapy procedure is determined by the doctor based on ideas about the dynamics of the glycemic regulation process. The development of adequate models of glycemia and algorithms for insulin administration, which allow taking into account the current state of the patient, is an urgent task. The aim of the work is to develop the theory of mathematical modeling of complex systems and to develop an adaptive algorithm for the operation of an implantable insulin dispenser based on the proposed model of the dynamics of glucose levels in human blood. To substantiate the model of glycemia, methods of structural and parametric identification of models of homeostatic systems in the class of differential and integral equations were used, which makes it possible to obtain a model that reproduces the data of experimental studies. Numerical experiments have shown the effectiveness of the proposed model of human blood glucose dynamics for developing an algorithm for normalizing glycemia using an implantable insulin dispenser. The advantage of the proposed algorithm is the ability to maintain the patient's blood glucose level regardless of the diet. As a result of numerical experiments, the effectiveness of the developed model of the dynamics of the level of glucose in human blood was shown in the case of its known dynamics.