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-cells: mathematical model of glucose-induced insulin secretion1Institute of Systems Analysis and Computer Science, Consiglio Nazionale delle Ricerche, Rome; 2Department of Systems Analysis and Informatics, University of Rome "La Sapienza," Rome; and 3Institute of Internal Medicine, Catholic University School of Medicine, Rome, Italy
Submitted 27 November 2006 ; accepted in final form 16 April 2007
A mathematical model that represents the dynamics of intracellular insulin granules in
-cells is proposed. Granule translocation and exocytosis are controlled by signals assumed to be essentially related to ATP-to-ADP ratio and cytosolic Ca2+ concentration. The model provides an interpretation of the roles of the triggering and amplifying pathways of glucose-stimulated insulin secretion. Values of most of the model parameters were inferred from available experimental data. The numerical simulations represent a variety of experimental conditions, such as the stimulation by high K+ and by different time courses of extracellular glucose, and the predicted responses agree with published experimental data. Model capacity to represent data measured in a hyperglycemic clamp was also tested. Model parameter changes that may reflect alterations of
-cell function present in type 2 diabetes are investigated, and the action of pharmacological agents that bind to sulfonylurea receptors is simulated.
-cell; insulin secretion; insulin granule dynamics; type 2 diabetes
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