Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia.
Identifieur interne : 000329 ( Main/Exploration ); précédent : 000328; suivant : 000330Closed-loop firing rate regulation of two interacting excitatory and inhibitory neural populations of the basal ganglia.
Auteurs : Ihab Haidar [France] ; William Pasillas-Lépine [France] ; Antoine Chaillet [France] ; Elena Panteley [France] ; Stéphane Palfi [France] ; Suhan Senova [France]Source :
- Biological cybernetics [ 1432-0770 ] ; 2016.
English descriptors
- KwdEn :
- MESH :
- physiology : Basal Ganglia, Feedback, Physiological, Neural Inhibition, Neurons.
- physiopathology : Parkinson Disease.
- Humans, Models, Biological.
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.
DOI: 10.1007/s00422-015-0678-y
PubMed: 26837751
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">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.</div>
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