A mathematical model that mimics the bursting oscillations in pancreatic β-cells

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

A revised version of Rössler's dual principle is used to realize a geometrical mechanism for chaos generation. The resulting mathematical model is a singularly perturbed system with three time scales. The system is then used to mimic the glucose-induced electrical activity of pancreatic β-cells.

Original languageEnglish (US)
Pages (from-to)241-250
Number of pages10
JournalMathematical Biosciences
Volume119
Issue number2
DOIs
StatePublished - Feb 1994

Fingerprint

Singularly Perturbed Systems
Bursting
Glucose
Chaos theory
oscillation
Chaos
Time Scales
Theoretical Models
mathematical models
Mathematical Model
Oscillation
Mathematical models
glucose
Cell
cells

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

A mathematical model that mimics the bursting oscillations in pancreatic β-cells. / Deng, Bo.

In: Mathematical Biosciences, Vol. 119, No. 2, 02.1994, p. 241-250.

Research output: Contribution to journalArticle

@article{de2f2d0507204c03895bc5fa11d5c3fe,
title = "A mathematical model that mimics the bursting oscillations in pancreatic β-cells",
abstract = "A revised version of R{\"o}ssler's dual principle is used to realize a geometrical mechanism for chaos generation. The resulting mathematical model is a singularly perturbed system with three time scales. The system is then used to mimic the glucose-induced electrical activity of pancreatic β-cells.",
author = "Bo Deng",
year = "1994",
month = "2",
doi = "10.1016/0025-5564(94)90078-7",
language = "English (US)",
volume = "119",
pages = "241--250",
journal = "Mathematical Biosciences",
issn = "0025-5564",
publisher = "Elsevier Inc.",
number = "2",

}

TY - JOUR

T1 - A mathematical model that mimics the bursting oscillations in pancreatic β-cells

AU - Deng, Bo

PY - 1994/2

Y1 - 1994/2

N2 - A revised version of Rössler's dual principle is used to realize a geometrical mechanism for chaos generation. The resulting mathematical model is a singularly perturbed system with three time scales. The system is then used to mimic the glucose-induced electrical activity of pancreatic β-cells.

AB - A revised version of Rössler's dual principle is used to realize a geometrical mechanism for chaos generation. The resulting mathematical model is a singularly perturbed system with three time scales. The system is then used to mimic the glucose-induced electrical activity of pancreatic β-cells.

UR - http://www.scopus.com/inward/record.url?scp=0028308861&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028308861&partnerID=8YFLogxK

U2 - 10.1016/0025-5564(94)90078-7

DO - 10.1016/0025-5564(94)90078-7

M3 - Article

C2 - 8142698

AN - SCOPUS:0028308861

VL - 119

SP - 241

EP - 250

JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

IS - 2

ER -