The Geometry of Bursting in the Dual Oscillator Model of Pancreatic $\beta$-cells

DOI10.1137/08074427XzbMath1178.92010OpenAlexW2055283675MaRDI QIDQ5850851

Pranay Goel, Arthur S. Sherman

Publication date: 20 January 2010

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

Full work available at URL: https://doi.org/10.1137/08074427x

zbMATH Keywords

coupled oscillatorsburstingoscillationsinsulinfast-slow systemscalciumpancreatic beta-cellsdual oscillator modelcomposite bifurcation diagramsliding bars

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Medical applications (general) (92C50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Physiology (general) (92C30) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Full system bifurcation analysis of endocrine bursting models ⋮ Lessons from models of pancreatic \(\beta \) cells for engineering glucose-sensing cells ⋮ Fast–Slow Dynamics and Bifurcation Mechanism in a Novel Chaotic System

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