ArticleJournal of computational neuroscience2010
Mixed mode oscillations as a mechanism for pseudo-plateau bursting.
Article in Journal of computational neuroscience, 2010. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 14 papers.
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Who cites it
14 citing papers in PubMed.
- Article
- Mixed-mode oscillations in a three-timescale coupled Morris-Lecar system.Chaos (Woodbury, N.Y.) · 2024Article
- Conversion of spikers to bursters in pituitary cell networks: Is it better to disperse for maximum exposure or circle the wagons?PLoS computational biology · 2024Article
- Deconstructing the integrated oscillator model for pancreatic β-cells.Mathematical biosciences · 2023Article
- Emergence of Mixed Mode Oscillations in Random Networks of Diverse Excitable Neurons: The Role of Neighbors and Electrical Coupling.Frontiers in computational neuroscience · 2020Article
- M-Current Expands the Range of Gamma Frequency Inputs to Which a Neuronal Target Entrains.Journal of mathematical neuroscience · 2018Article
- Weak-noise-induced transitions with inhibition and modulation of neural oscillations.Biological cybernetics · 2018Article
- Early afterdepolarizations in cardiac action potentials as mixed mode oscillations due to a folded node singularity.PloS one · 2018Article
- Noise-enhanced coding in phasic neuron spike trains.PloS one · 2017Article
- From global to local: exploring the relationship between parameters and behaviors in models of electrical excitability.Journal of computational neuroscience · 2016Article
- A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells.Journal of computational neuroscience · 2014Article
- The relationship between two fast/slow analysis techniques for bursting oscillations.Chaos (Woodbury, N.Y.) · 2012Article
- CROSS-CURRENTS BETWEEN BIOLOGY AND MATHEMATICS: THE CODIMENSION OF PSEUDO-PLATEAU BURSTING.Discrete and continuous dynamical systems. Series A · 2012Article
- The dynamics underlying pseudo-plateau bursting in a pituitary cell model.Journal of mathematical neuroscience · 2011Article
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4 authors.
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Abstract
We combine bifurcation analysis with the theory of canard-induced mixed mode oscillations to investigate the dynamics of a novel form of bursting. This bursting oscillation, which arises from a model of the electrical activity of a pituitary cell, is characterized by small impulses or spikes riding on top of an elevated voltage plateau. Oscillations with these characteristics have been called "pseudo-plateau bursting". Unlike standard bursting, the subsystem of fast variables does not possess a stable branch of periodic spiking solutions, and in the case studied here the standard fast/slow analysis provides little information about the underlying dynamics. We demonstrate that the bursting is actually a canard-induced mixed mode oscillation, and use canard theory to characterize the dynamics of the oscillation. We also use bifurcation analysis of the full system of equations to extend the results of the singular analysis to the physiological regime. This demonstrates that the combination of these two analysis techniques can be a powerful tool for understanding the pseudo-plateau bursting oscillations that arise in electrically excitable pituitary cells and isolated pancreatic beta-cells.
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