We construct a heuristic model of calcium oscillations in pancreatic acinar cells. The model is
based on the two-state model of Sneyd et al. (Sneyd, J., A. LeBeau and D. Yule, 2000, Traveling
waves of calcium in pancreatic acinar cells: model construction and bifurcation analysis, Physica D,
in press) and is similar in spirit to the FitzHugh reduction of the Hodgkin-Huxley equations. The
simpli¯ed model successfully reproduces the oscillatory behavior and wave behaviour of the more
complex model. In particular, the simpli¯ed model provides an example of a simple, physiologically
relevant model that has a T-point and an associated spiral branch of homoclinic orbits.
Singer, B. (2000), Oscillations and traveling waves of calcium: a simplified model, Research Letters in the Information and Mathematical Sciences, 1, 79-94