Two models for coupled pancreatic β cells are used to investigate excited wave propagation in spatially inhomogeneous islets of Langerhans. The application concerns spatial variation of glucose concentration across the islet. A comprehensive model of coupled cells shows that wave blocking occurs as the conductance of adenosine triphosphate regulated potassium channels increases, corresponding to spatially decreasing glucose concentration. A simplified model based on a perturbed version of Fisher’s equation has been investigated using perturbation theory. We show that the perturbed Fisher’s equation likewise can exhibit wave blocking.
- inhomogeneous media
- nonlinear excitation waves
- propagation failure
- Calcium waves
Pedersen, M. G., & Sørensen, M. P. (2008). Wave-Block Due to a Threshold Gradient Underlies Limited Coordination in Pancreatic Islets. Journal of Biological Physics, 34(3-4), 425-432. https://doi.org/10.1007/s10867-008-9069-0