Phase plane reveals two slow variables in midbrain dopamine neuron bursts (Yu and Canavier, 2015)

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"Midbrain dopamine neurons exhibit a novel type of bursting that we call “inverted square wave bursting” when exposed to Ca2+-activated small conductance (SK) K+ channel blockers in vitro. This type of bursting has three phases: hyperpolarized silence, spiking, and depolarization block. We find that two slow variables are required for this type of bursting, and we show that the three-dimensional bifurcation diagram for inverted square wave bursting is a folded surface with upper (depolarized) and lower (hyperpolarized) branches. ..."
1 . Yu N, Canavier CC (2015) A Mathematical Model of a Midbrain Dopamine Neuron Identifies Two Slow Variables Likely Responsible for Bursts Evoked by SK Channel Antagonists and Terminated by Depolarization Block. J Math Neurosci 5:5 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s): Substantia nigra pars compacta dopaminergic cell;
Channel(s): I Na,t; I L high threshold; I K; I h; I K,Ca;
Gap Junctions:
Gene(s): HERG KCNH2;
Simulation Environment: MATLAB;
Model Concept(s): Bursting; Calcium dynamics;
Search NeuronDB for information about:  Substantia nigra pars compacta dopaminergic cell; I Na,t; I L high threshold; I K; I h; I K,Ca;
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