Keener2001_OscillatoryInsulinSecretionModel

This a model from the article:
Diffusion induced oscillatory insulin secretion.

Keener JP. Bull Math Biol.
2001 Jul;63(4):625-41. 11497161
,
Abstract:

Oscillatory secretion of insulin has been observed in many different experimental preparations. Here we examine a mathematical model for in vitro insulin secretion from pancreatic beta cells in a flow-through reactor. The analysis shows that oscillations result because of an important interplay between flow rate of the reactor and insulin diffusion. In particular, if the ratio of flow rate to volume of the reaction bed is too large, oscillations are eliminated, in contradiction to the conclusions of Maki and Keizer (L. W. Maki and Keizer J. Mathematical analysis of a proposed mechanism for oscillatory insulin secretion in perifused HIT-15 cells. Bull. Math. Biol., 57(1995), 569-591). Furthermore, with reasonable numbers for the experimental parameters and the diffusion of insulin, the model equations do not exhibit oscillations.
This model was taken from the CellML repository
and automatically converted to SBML.
The original model was:
Keener (2001)

The original CellML model was created by:
Catherine Lloyd

[e-mail]
The University of Auckland
The Bioengineering Institute
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