Oscillations and traveling waves of calcium: a simplified model

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dc.contributor.authorSinger, Benjamin
dc.date.accessioned2013-05-09T01:53:23Z
dc.date.available2013-05-09T01:53:23Z
dc.date.issued2000
dc.description.abstractWe 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.citationSinger, B. (2000), Oscillations and traveling waves of calcium: a simplified model, Research Letters in the Information and Mathematical Sciences, 1, 79-94en
dc.identifier.issn1175-2777
dc.identifier.urihttp://hdl.handle.net/10179/4389
dc.language.isoenen
dc.publisherMassey Universityen
dc.subjectCalcium oscillationsen
dc.titleOscillations and traveling waves of calcium: a simplified modelen
dc.typeArticleen
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