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Journal articles
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.
https://hal-centralesupelec.archives-ouvertes.fr/hal-01270695
Contributor : William Pasillas-Lépine Connect in order to contact the contributor
Submitted on : Monday, February 8, 2016 - 1:36:15 PM
Last modification on : Tuesday, July 20, 2021 - 3:04:04 AM
Contributor : William Pasillas-Lépine Connect in order to contact the contributor
Submitted on : Monday, February 8, 2016 - 1:36:15 PM
Last modification on : Tuesday, July 20, 2021 - 3:04:04 AM