Diffusion of Calcium and Metabolites

This is supplementary material for:

K. Tsaneva-Atanasova, C. L. Zimliki, R. Bertram, and A. Sherman, 2006. Diffusion of calcium and metabolites in pancreatic islets: Killing oscillat ions with a pitchfork, Biophys. J., 90:3434--3446. [PubMed]

The models in this paper show that oscillations can be killed by a pitchfork bifurcation when cells are coupled through the slow negative feedback variable, which is calcium, for a simple electrical oscillator, and G6P, for a glycolytic oscillator.

XPP files by figure:

• Morris-Lecar-like Beta-Cell Model: Oscillator Death by Calcium Diffusion (Figure 1)
• Morris-Lecar-like Beta-Cell Model: Bistability (Figure 3)
• Glycolytic Oscillator Model (Figure 6a)
• Combined Glycolytic/Electrical Beta-Cell Model: Uncoupled (Figure 7a)
• Combined Glycolytic/Electrical Beta-Cell Model: Coupled by FBP (Figure 7b)
• Combined Glycolytic/Electrical Beta-Cell Model: Coupled by FBP and G6P (Figure 7c)
• Combined Glycolytic/Electrical Beta-Cell Model: Conversion from Slow to Fast by Glucose Removal and Readdition (Figure 8)
  (Compare to experimental data, Figure 11:
  taken from:

  R. Bertram, L. Satin, M. Zhang, P. Smolen, and A. Sherman. 2004. Calcium and glycolysis mediate multiple bursting modes in pancreatic islets, Biophys. J., 87:3074-3087. [PubMed.]
  Note error in the published legend, which referred to the wrong figure in the above paper.) .

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