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Talk abstract:
A mathematical caricature of multiple slow calcium processes
in a model exhibiting bursting
Mark Pernarowski, University of Montana
A recent model of bursting electrical activity in the
pancreatic beta cell is examined. A nondimensionalized version of
this model has two slow calcium processes one of which describes a slow
inactivation of voltage-gated channels. From a mathematical
perspective the model is bistable and has two-dimensional slow subsystems.
Numerical computations on the model will be used to show
how the bursting cycle can be described and a rough outline of
a perturbation construction of the cycle will be given.
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