PHYSICAL MATHEMATICS SEMINAR TOPIC: ANALYSIS OF BURSTING ELECTRICAL ACTIVITY IN PANCREATIC \beta -CELLS SPEAKER: ROBERT M. MIURA Departments of Mathematical Sciences and Biomedical Engineering New Jersey Institute of Technology ABSTRACT: Pancreatic \beta -cells regulate blood glucose by secreting insulin, and they undergo bursting electrical activity (BEA) consisting of alternating active and silent phases in which the membrane potential undergoes rapid oscillations and slow changes, respectively. The rate of release of insulin as a function of glucose concentration is closely correlated to the plateau fraction, the ratio of the active phase duration to the total period of the BEA. A number of different mathematical models for BEA in pancreatic \beta -cells have been proposed and consist of three highly nonlinear ordinary differential equations for the membrane potential, a conductance variable, and the intracellular calcium concentration. In this talk, I will outline an approximate method for computing the plateau fraction for these models. Comparison of this plateau fraction with existing data permits determination of a functional dependence between a model parameter and glucose concentration, which leads to a possible reinterpretation of the data. DATE: TUESDAY, MARCH 5, 2002 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Room 2-349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139