Annals of the Russian academy of medical sciencesAnnals of the Russian academy of medical sciencesВестник Российской академии медицинских наук0869-60472414-3545"Paediatrician" Publishers LLC54610.15690/vramn.v70.i5.1441ENDOCRINOLOGY: CURRENT ISSUESАКТУАЛЬНЫЕ ВОПРОСЫ ЭНДОКРИНОЛОГИИMathematical Modeling of the Blood Glucose Regulation System in Diabetes Mellitus PatientsМатематическое моделирование системы регуляции гликемии у пациентов с сахарным диабетомKarpel’evV. A.КарпельевВ. А.
Russian Federation

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

enprt@mail.ruFilippovYu. I.ФилипповЮ. И.
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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

yuriyivanovich@gmail.comTarasovYu. V.ТарасовЮ. В.
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научный сотрудник Института диабета ФГБУ «Эндокринологический научный центр» Минздрава России Адрес: 117036, Москва, ул. Дмитрия Ульянова, д. 11

yu.v.tarasov@gmail.comBoyarskyM. D.БоярскийМ. Д.
Russian Federation

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

mia.letum@gmail.comMayorovA. Yu.МайоровА. Ю.
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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

education@endocrincentr.ruShestakovaM. V.ШестаковаМ. В.
Russian Federation

доктор медицинских наук, профессор, член-корреспондент РАН, директорИнститута 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

nephro@endocrincentr.ruDedovI. I.ДедовИ. И.
Russian Federation

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

dedov@endocrincentr.ruEndocrinology Research Centre, Moscow, Russian FederationЭндокринологический научный центр, Москва, Российская ФедерацияEndocrinology Research Centre, Moscow, Russian FederationЭндокринологический научный центр, Москва, Российская Федерация Первый Московский государственный медицинский университет им. И.М. Сеченова, Москва, Российская Федерация031220157055495600212201502122015Copyright ©; 2015, "Paediatrician" Publishers LLCCopyright ©; 2015, Издательство "Педиатръ"2015"Paediatrician" Publishers LLCИздательство "Педиатръ"https://vestnikramn.spr-journal.ru/jour/about/submissionshttps://vestnikramn.spr-journal.ru/jour/article/view/546

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.

В обзоре представлены основные математические модели биологической системы управления концентрацией глюкозы в плазме крови (упрощенно — система инсулин–глюкоза). Рассмотрено 2 крупных класса математических моделей: эмпирические и теоретические. Эмпирические модели построены на результатах обработки массивов входных данных с целью определения некоторых закономерностей и их использования для предсказания значений параметров модели в будущем (в частности, концентрации глюкозы в плазме крови) без учета законов физиологии. Теоретические модели физиологически обоснованы и условно делятся на 2 подгруппы — смешанные и полные. Смешанные модели описывают лишь ключевые физиологические закономерности, однако сохраняют способность предсказывать значения критически важных параметров системы регуляции углеводного обмена. Параметры смешанных моделей определяются на основании результатов клинических тестов. Полные модели учитывают и позволяют математически описать все доступные знания о регуляции углеводного обмена и способны моделировать систему инсулин–глюкоза при сахарном диабете. Успехи в области математического моделирования во многом определяют дальнейшее развитие медицинских технологий лечения сахарного диабета в целом и создание искусственной поджелудочной железы в частности.

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