A phantom bursting mechanism for episodic bursting

DOI10.1007/s11538-008-9335-0zbMath1147.92304OpenAlexW2130293530WikidataQ51872387 ScholiaQ51872387MaRDI QIDQ954303

Wendy P. Cimbora, Joseph Rhoads, Richard Bertram

Publication date: 10 November 2008

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-008-9335-0

zbMATH Keywords

neuronspancreatic isletsbeta-cellselectrical oscillationsendocrine cells

Mathematics Subject Classification ID

Neural biology (92C20) Biophysics (92C05) Cell biology (92C37)

Related Items (6)

Emergence of Canard induced mixed mode oscillations in a slow-fast dynamics of a biophysical excitable model ⋮ Dynamical analysis of bursting oscillations in the Chay-Keizer model with three time scales ⋮ Transitions between bursting modes in the integrated oscillator model for pancreatic \(\beta\)-cells ⋮ Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster ⋮ Lessons from models of pancreatic \(\beta \) cells for engineering glucose-sensing cells ⋮ Stopping waves: geometric analysis of coupled bursters in an asymmetric excitation field

Uses Software

• XPPAUT

Cites Work

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• A calcium-based phantom bursting model for pancreatic islets
• Topological and phenomenological classification of bursting oscillations
• The transition from bursting to continuous spiking in excitable membrane models
• Properties of a Bursting Model with Two Slow Inhibitory Variables
• Simulating, Analyzing, and Animating Dynamical Systems
• The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
• Bursting

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