Mathematical Modeling of the Blood Glucose Regulation System in Diabetes Mellitus Patients

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Abstract

Interest in the mathematical modeling of the carbohydrate metabolism regulation system increases in recent years. This is associated with a «closed loop» insulin pump development (it controls an insulin infusion depending on the blood glucose level). To create an algorithm for the automatic control of insulin (and other hormones) infusion using an insulin pump it is necessary to accurately predict glycaemia level. So, the primary objective of mathematical modeling is to predict the blood glucose level changes, caused by the wide range of external factors. This review discusses the main mathematical models of blood glucose level control physiological system (simplified insulin–glucose system). The two major classes of models — empirical and theoretical — are described in detail. The ideal mathematical model of carbohydrate metabolism regulatory system is absent. However, the success in the field of blood glucose level control modeling and simulating is essential for the further development of diabetes prevention and treatment technologies, and creating an artificial pancreas in particular.

About the authors

V. A. Karpel’ev

Endocrinology Research Centre, Moscow, Russian Federation

Author for correspondence.
Email: enprt@mail.ru

научный сотрудник Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11

Russian Federation

Yu. I. Filippov

Endocrinology Research Centre, Moscow, Russian Federation

Email: yuriyivanovich@gmail.com

научный сотрудник отделения программного обучения и лечения Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11, тел.: +7 (926) 329-47-23

Russian Federation

Yu. V. Tarasov

Endocrinology Research Centre, Moscow, Russian Federation

Email: yu.v.tarasov@gmail.com

научный сотрудник Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11

Russian Federation

M. D. Boyarsky

Endocrinology Research Centre, Moscow, Russian Federation

Email: mia.letum@gmail.com

научный сотрудник Института диабета ФГБУ «Эндокринологический научный Центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11

Russian Federation

A. Yu. Mayorov

Endocrinology Research Centre, Moscow, Russian Federation

Email: education@endocrincentr.ru

доктор медицинских наук, заведующий отделением программного обучения и лечения Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России; доцент кафедры диабетологии и эндокринологии педиатрического факультета Первого МГМУ им. И.М. Сеченова Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11, тел.: +7 (499) 124-35-00

Russian Federation

M. V. Shestakova

Endocrinology Research Centre, Moscow, Russian Federation

Email: nephro@endocrincentr.ru

доктор медицинских наук, профессор, член-корреспондент РАН, директор
Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России, заведующая кафедрой эндокринологии и диабетологии педиатрического факультета Первого МГМУ им. И.М. Сеченова Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11

Russian Federation

I. I. Dedov

Endocrinology Research Centre, Moscow, Russian Federation

Email: dedov@endocrincentr.ru

академик РАН, директор ФГБУ «Эндокринологический научный центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11, тел.: +7 (499) 124-43-00

Russian Federation

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