Optimal insulin infusion resulting from a mathematical model of blood glucose dynamics. 1989

M E Fisher, and K L Teo

Mathematical optimization techniques are applied to a simplified mathematical model of blood glucose dynamics to derive insulin infusion programs for the control of blood glucose levels in diabetic individuals. Two particular cases are discussed. First, the insulin infusion program which results in an initially high blood glucose level being reduced to acceptable levels. Second, the control of blood glucose levels following a meal, prior to which blood glucose and net blood-glycemic hormone were at their fasting levels.

UI MeSH Term Description Entries
D007332 Insulin Infusion Systems Portable or implantable devices for infusion of insulin. Includes open-loop systems which may be patient-operated or controlled by a pre-set program and are designed for constant delivery of small quantities of insulin, increased during food ingestion, and closed-loop systems which deliver quantities of insulin automatically based on an electronic glucose sensor. Pancreas, Artificial Endocrine,Programmable Implantable Insulin Pump,beta Cell, Artificial,Implantable Programmable Insulin Pump,Insulin Pump, Programmable Implantable,Pump, Programmable Implantable Insulin,Artificial Endocrine Pancreas,Artificial beta Cell,Artificial beta Cells,Cell, Artificial beta,Cells, Artificial beta,Endocrine Pancreas, Artificial,Infusion System, Insulin,Infusion Systems, Insulin,Insulin Infusion System,System, Insulin Infusion,Systems, Insulin Infusion,beta Cells, Artificial
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D001786 Blood Glucose Glucose in blood. Blood Sugar,Glucose, Blood,Sugar, Blood
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man

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