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Mathematical model of subthalamic nucleus neuron: Characteristic activity patterns and bifurcation analysis
Choongseok Park1, Leonid L Rubchinsky2, Sungwoo Ahn3
1Department of Mathematics and Statistics, North Carolina A&T State University, Greensboro, North Carolina 27411, USA.
Chaos (Woodbury, N.Y.)
|December 9, 2021
Summary
Parkinson's disease involves subthalamic nucleus (STN) hyperactivity. Our model reveals T-type and L-type calcium currents are crucial for STN neuron bursting, explaining disease-related rhythms.
Area of Science:
- Neuroscience
- Computational Biology
- Systems Neuroscience
Background:
- The subthalamic nucleus (STN) plays a key role in basal ganglia function and Parkinson's disease pathophysiology.
- Excessively synchronous beta rhythms in Parkinson's disease may stem from STN cell bursting under hyperpolarization.
Purpose of the Study:
- To investigate the role of specific ion currents in generating STN neuron bursting activity.
- To model STN neuron firing patterns and understand their contribution to Parkinson's disease.
Main Methods:
- Developed a conductance-based single-compartment model of an STN neuron.
- Utilized bifurcation analysis focusing on T-type calcium (CaT), L-type calcium (CaL), and hyperpolarization-activated cyclic nucleotide-gated (HCN) currents.
Main Results:
- HCN current promotes single-spike activity, not bursting, aligning with experimental data.
- CaT current is essential for characteristic bursting patterns, especially under hyperpolarizing stimuli.
- CaL current enhances and prolongs bursting patterns, demonstrating a synergistic interaction with CaT current.
Conclusions:
- The synergistic action of CaT and CaL currents enables STN neurons to exhibit salient responses to hyperpolarizing stimuli.
- These findings highlight the critical role of CaT and CaL currents in the pathophysiology of the basal ganglia in Parkinson's disease.
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