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Article Dans Une Revue International Journal of Control Année : 2014

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

Résumé

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.
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Dates et versions

hal-00978760 , version 1 (14-04-2014)

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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, 2014, 87 (9), pp.1936-1956. ⟨10.1080/00207179.2014.895925⟩. ⟨hal-00978760⟩
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