## The effect of noise on beta-cell burst period

Publication: Research - peer-review › Journal article – Annual report year: 2006

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**The effect of noise on beta-cell burst period.** / Pedersen, Morten Gram; Sørensen, Mads Peter.

Publication: Research - peer-review › Journal article – Annual report year: 2006

### Harvard

*S I A M Journal on Applied Mathematics*, vol 67, no. 2, pp. 530-542. DOI: 10.1137/060655663

### APA

*S I A M Journal on Applied Mathematics*,

*67*(2), 530-542. DOI: 10.1137/060655663

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### MLA

*S I A M Journal on Applied Mathematics*. 2006, 67(2). 530-542. Available: 10.1137/060655663

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TY - JOUR

T1 - The effect of noise on beta-cell burst period

AU - Pedersen,Morten Gram

AU - Sørensen,Mads Peter

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

KW - Bursting oscillations

KW - Excitable cells

KW - Stochastic Melnikov method

KW - Stochastic bifurcations

U2 - 10.1137/060655663

DO - 10.1137/060655663

M3 - Journal article

VL - 67

SP - 530

EP - 542

JO - S I A M Journal on Applied Mathematics

T2 - S I A M Journal on Applied Mathematics

JF - S I A M Journal on Applied Mathematics

SN - 0036-1399

IS - 2

ER -