Regulation of Bood Glucose Under the Destabilizing Factors

Student: Popova Anna

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2019

This work is aimed at analyzing the mathematical models of the “glucose-insulin” systems most used in research, the study of the theory of differential games, SDC and SDRE methods. The objective of the work is to build a control for the minimal model of Bergman, where the main task is to bring the blood glucose indicators into the normal range. A mathematical model that takes into account all the possible factors changing the behavior of glucose indicators in the human body has not yet been developed. Thus, visualization of the “glucose-insulin” systems and modeling of a successful control system will help to understand better the behavior of glucose in the blood. Such models can not only underlie further research in this area, but also help to create the latest continuous glucose monitoring systems and insulin pumps, making the diabetes control process more convenient, easier and better.

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