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

Ihab Haidar 1 William Pasillas-Lépine 2 Elena Panteley 2 Antoine Chaillet 2 Stéphane Palfi 3, 4 Suhan Senova 3
1 L2S - Laboratoire des signaux et systèmes
2 Division Systèmes - L2S
L2S - Laboratoire des signaux et systèmes : 1289
3 Service de neuro-chirurgie
4 I2BM - Institut d'Imagerie BioMédicale
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.
Keywords : Parkinson's disease basal ganglia firing-rate models Stability of time-delayed systems Callier-Desoer class Nyquist criterion neural oscillations
Type de document :
Article dans une revue
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〉
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https://hal-supelec.archives-ouvertes.fr/hal-00978760
Contributeur : William Pasillas-Lépine <>
Soumis le : lundi 14 avril 2014 - 16:25:39
Dernière modification le : mardi 8 mai 2018 - 08:36:01

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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, 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〉

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