Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia

Abstract : This paper develops a new closed-loop firing rate regulation strategy for a population of neurons in the subthalamic nucleus, derived using a model-based analysis of the basal ganglia. The system is described using a firing rate model, in order to analyse the generation of beta-band oscillations. On this system, a proportional regulation of the firing rate reduces the gain of the subthalamo-pallidal loop in the parkinsonian case, thus impeding pathological oscillation generation. A filter with a well-chosen frequency is added to this proportional scheme, in order to avoid a potential instability of the feedback loop due to actuation and measurement delays. Our main result is a set of conditions on the parameters of the stimulation strategy that guarantee both its stability and a prescribed delay margin. A discussion on the applicability of the proposed method and a complete set of mathematical proofs is included.
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Article dans une revue
Biological Cybernetics (Modeling), Springer Verlag, 2016, 110 (1), pp.55-71. 〈10.1007/s00422-015-0678-y〉
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https://hal-centralesupelec.archives-ouvertes.fr/hal-01270695
Contributeur : William Pasillas-Lépine <>
Soumis le : lundi 8 février 2016 - 13:36:15
Dernière modification le : jeudi 5 avril 2018 - 12:30:05

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Ihab Haidar, William Pasillas-Lépine, Antoine Chaillet, Elena Panteley, Stéphane Palfi, et al.. Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia. Biological Cybernetics (Modeling), Springer Verlag, 2016, 110 (1), pp.55-71. 〈10.1007/s00422-015-0678-y〉. 〈hal-01270695〉

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