A rich and complex dynamics emerges between the subthalamic nucleus and the globus pallidus externa in the basal ganglia

Authors

  • Julián Hurtado-López Departamento de Matemáticas y Estadística, Universidad Autónoma de Occidente, Cali, Colombia
  • Andres Felipe Amador-Rodriguez Departamento de Ciencias Naturales y Matemáticas, Pontificia Universidad Javeriana, Cali, Colombia
  • David Fernando Ramirez-Moreno Departamento de Física, Universidad Autónoma de Occidente, Cali, Colombia

DOI:

https://doi.org/10.33044/revuma.2893

Abstract

Oscillatory nature of basal ganglia activity is highly tied with some movement disorders. We study, through bifurcation analysis and computer simulations, the appearance of abnormal oscillations in an already proposed reduced neural circuit model of the subthalamic nucleus and globus pallidus loop. The results show that the model exhibits stable steady states associated to normal activity and oscillatory activity corresponding to the often termed "tremor frequency" oscillations due to their coherence with parkinsonian tremor observed in patients with Parkinson's disease.

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Published

2023-04-25

Issue

Vol. 64 No. 2 (2023): Special Volume: Mathematical Congress of the Americas 2021

Section

Article

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Copyright (c) 2023 Julián Hurtado-López, Andres Felipe Amador, David Fernando Ramírez

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