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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. ..."
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
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Neuron or other electrically excitable cell;
Substantia nigra pars compacta DA cell;
I L high threshold;
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Substantia nigra pars compacta DA cell
I L high threshold
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