Mixed mode oscillations as a mechanism for pseudo-plateau bursting

DOI10.1007/s10827-010-0226-7zbMath1246.34053OpenAlexW2077420456WikidataQ35150509 ScholiaQ35150509MaRDI QIDQ2637957

Richard Bertram, Joël Tabak, Theodore Vo, Martin Wechselberger

Publication date: 13 September 2010

Published in: Journal of Computational Neuroscience (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc3151174

zbMATH Keywords

bifurcation analysisslow-fast systemcanardconductance-based modelmixed mode oscillationpituitary cellpseudo-plateau burst

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Qualitative investigation and simulation of ordinary differential equation models (34C60) Biological rhythms and synchronization (92B25) Canard solutions to ordinary differential equations (34E17)

Related Items (17)

À propos de canards (Apropos canards) ⋮ Multi-mode attractors and spatio-temporal canards ⋮ Weak-noise-induced transitions with inhibition and modulation of neural oscillations ⋮ Bifurcation and Spike Adding Transition in Chay–Keizer Model ⋮ Multi-timescale systems and fast-slow analysis ⋮ Deconstructing the integrated oscillator model for pancreatic \(\beta \)-cells ⋮ Emergence of Canard induced mixed mode oscillations in a slow-fast dynamics of a biophysical excitable model ⋮ Bursting Oscillations and Mixed-Mode Oscillations in Driven Liénard System ⋮ The dynamics underlying pseudo-plateau bursting in a pituitary cell model ⋮ Mixed-Mode Oscillations in Coupled FitzHugh–Nagumo Oscillators: Blow-Up Analysis of Cusped Singularities ⋮ Ion channels and the diversity of spontaneous firing in anterior pituitary corticotrophs: a dynamical analysis ⋮ A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells ⋮ M-current expands the range of gamma frequency inputs to which a neuronal target entrains ⋮ Mixed-Mode Oscillations Due to a Singular Hopf Bifurcation in a Forest Pest Model ⋮ Models in neuroendocrinology ⋮ Delayed loss of stability due to the slow passage through Hopf bifurcations in reaction–diffusion equations ⋮ Understanding anomalous delays in a model of intracellular calcium dynamics

Uses Software

• XPPAUT

Cites Work

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