Analysis of delay-induced basal ganglia oscillations: the role of external excitatory nuclei

Abstract : Basal ganglia are interconnected deep brain structures involved in movement generation. Their persistent beta-band oscillations (13-30Hz) are 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-rate dynamics and study their stability by relying on a delayed MIMO frequency analysis. Our analysis suggest that the PPN has an influence on the generation of pathological beta-band oscillations. These results are illustrated by simulations that confirm numerically the analytic predictions of our two main theorems.
Document type :
Journal articles
Complete list of metadatas

https://hal-supelec.archives-ouvertes.fr/hal-00978760
Contributor : William Pasillas-Lépine <>
Submitted on : Monday, April 14, 2014 - 4:25:39 PM
Last modification on : Tuesday, February 26, 2019 - 10:12:32 AM

Identifiers

Citation

Ihab Haidar, William Pasillas-Lépine, Elena Panteley, Antoine Chaillet, Stéphane Palfi, et al.. Analysis of delay-induced basal ganglia oscillations: the role of external excitatory nuclei. International Journal of Control, Taylor & Francis, 2014, 87 (9), pp.1936-1956. ⟨http://www.tandfonline.com/doi/abs/10.1080/00207179.2014.895925⟩. ⟨10.1080/00207179.2014.895925⟩. ⟨hal-00978760⟩

Share

Metrics

Record views

360