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

DOI10.1186/S13408-015-0017-6zbMath1361.92017OpenAlexW2152443420WikidataQ39219372 ScholiaQ39219372MaRDI QIDQ282671

Carmen C. Canavier, Na Yu

Publication date: 12 May 2016

Published in: The Journal of Mathematical Neuroscience (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13408-015-0017-6

zbMATH Keywords

Hopf bifurcationspikingCa\(^{2+}\) channelmidbrain dopamine neurons

Mathematics Subject Classification ID

Neural biology (92C20) Bifurcation theory for ordinary differential equations (34C23)

Related Items (1)

Multi-timescale analysis of midbrain dopamine neuronal firing activities

Uses Software

• XPPAUT
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Cites Work

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• Sodium dynamics underlying burst firing and putative mechanisms for the regulation of the firing pattern in midbrain dopamine neurons: A computational approach
• Topological and phenomenological classification of bursting oscillations
• Mixed-Mode Oscillations with Multiple Time Scales
• 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
• MATCONT
• NEURAL EXCITABILITY, SPIKING AND BURSTING

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