The effect of noise on beta-cell burst period

Publication: Research - peer-reviewJournal article – Annual report year: 2006

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Bursting electrical behavior is commonly observed in a variety of nerve and endocrine cells, among these in electrically coupled beta-cells located in intact pancreatic islets. However, individual beta-cells usually display either spiking or very fast bursting behavior, and the difference between isolated and coupled cells has been suggested to be due to stochastic fluctuations of the plasma membrane ions channels, which are supposed to have a stronger effect on single cells than on cells situated in clusters (the channel sharing hypothesis). This effect of noise has previously been studied based on numerical simulations. We show here how the application of two recent methods allows an analytic treatment of the stochastic effects on the location of the saddle-node and homoclinic bifurcations, which determine the burst period. Thus, the stochastic system can be analyzed similarly to the deterministic system, but with a quantitative description of the effect of noise. This approach supports previous investigations of the channel sharing hypothesis.
Original languageEnglish
JournalS I A M Journal on Applied Mathematics
Publication date2006
Volume67
Issue2
Pages530-542
ISSN0036-1399
DOIs
StatePublished
CitationsWeb of Science® Times Cited: 11

Keywords

  • Bursting oscillations, Excitable cells, Stochastic Melnikov method, Stochastic bifurcations
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