Oscillations and traveling waves of calcium: a simplified model
dc.contributor.author | Singer, Benjamin | |
dc.date.accessioned | 2013-05-09T01:53:23Z | |
dc.date.available | 2013-05-09T01:53:23Z | |
dc.date.issued | 2000 | |
dc.description.abstract | 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. | en |
dc.identifier.citation | Singer, B. (2000), Oscillations and traveling waves of calcium: a simplified model, Research Letters in the Information and Mathematical Sciences, 1, 79-94 | en |
dc.identifier.issn | 1175-2777 | |
dc.identifier.uri | http://hdl.handle.net/10179/4389 | |
dc.language.iso | en | en |
dc.publisher | Massey University | en |
dc.subject | Calcium oscillations | en |
dc.title | Oscillations and traveling waves of calcium: a simplified model | en |
dc.type | Article | en |
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