"Pancreatic Beta-Cell Models"
Chapter in "Case Studies in Mathematical Modeling"
Web page for the book
Unofficial gzipped PostScript Version with Exercises (177K); (PDF version) (314K).
The figures in the chapter can be reproduced using the files below,
which are inputs for Bard Ermentrout's
interactive program for solving ODEs. They are also
human-readable and easily translated into formats usable by other
differential equation solvers. For a list of other solvers,
- Basic Model (Figs. 1 - 7, 11)
- Extended Model with Endoplasmic Reticulum for muscarinic bursting (Fig. 9).
- Bi-phasic Transient (Fig. 10) with model from
R. Bertram, P. Smolen, A. Sherman, D. Mears, I. Atwater, F. Martin,
and B. Soria. 1995. A role for calcium-release activated current (CRAC)
in cholinergic modulation of electrical activity in pancreatic beta-cells.
Biophys. J. 68:2323-2332. [PubMed]
[Lab reprint list].
- Two Parameter Diagram (Fig. 8) and phase plane sketches (Fig. 4) are
R. Bertram, M. Butte, T. Kiemel, and A. Sherman. 1995. Topological
and phenomenological classification of bursting mechanisms. Bull. Math.
Biol. 57:413-439. [PubMed]
[Lab Reprint List]).
- Example of a bursting model with a
Non-Planar Fast Subsystem (Ex. 10).
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Last Updated 07/07/05