SELECTIVE EFFECTS OF SECRETAGOGUES ON INSULIN SECRETION: A MATHEMATICAL MODEL

Abstract-A mathematical model of the secretion of insulin from pancreatic islets of Langerhans is proposed. Previously proposed mathematical models of insulin secretion have dealt solely with glucose-stimulated release, and not with the more complex patterns of secretion (such as “off-responses”) in response to other secretagogues or combinations of secretagogues. We conclude that (1) an off-response is consistent with a compartmental model; and (2) the facilitating effect of a constant concentration of glucose on leucine-stimulated insulin secretion is consistent with a selective ffect of glucose on a single compartment of the model. Mathematical Model Compartment Insulin Secretion Off-respons