Abstract : Basal ganglia are interconnected deep brain structures involved in movement generation. Their oscillations in the beta band (13-30Hz) is known to be linked to Parkinson's disease motor symptoms. In this paper, we provide conditions under which these oscillations may occur, by explicitly considering the role of the pedunculopontine nucleus (PPN). We analyze the existence of equilibria in the associated firing-rates dynamics , and study their stability by relying on a delayed MIMO frequency analysis. The results are illustrated by simulations.
https://hal-supelec.archives-ouvertes.fr/hal-00742100
Contributor : Antoine Chaillet
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Submitted on : Monday, November 19, 2012 - 8:15:49 AM
Last modification on : Thursday, April 26, 2018 - 2:41:03 PM
Long-term archiving on : Thursday, February 21, 2013 - 11:09:05 AM
Ihab Haidar, William Pasillas-Lépine, Elena Panteley, Antoine Chaillet. Basal ganglia oscillations: the role of delays and external excitatory nuclei. 12th European Control Conference (ECC 2013), Jul 2013, Zurich, Switzerland. pp.1-6. ⟨hal-00742100v3⟩
