Perturbation Techniques for Models of Bursting Electrical Activity in Pancreatic $\beta $-Cells

DOI10.1137/0152094zbMath0767.34038OpenAlexW2065680993MaRDI QIDQ4037670

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Publication date: 16 May 1993

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0152094

zbMATH Keywords

bifurcationlimit cyclemathematical modelsMelnikov's methodpancreatic \(\beta\)-cellsglucose concentrationperiodic bursting electrical activityplateau fractionleading-order perturbation problemsSherman-Rinzel-Keizer modelinsulin responseintracellular ionic concentrationsionic flow through the cellular membraneLiénard differential equation coupled to a single first-order differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Biophysics (92C05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

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