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

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• 作者：Ihab Haidar ; William Pasillas-Lépine ; Antoine Chaillet…
• 关键词：Neural oscillations ; Firing rate models ; Time ; delay systems ; Basal ganglia ; Parkinson’s disease ; Deep brain stimulation ; Closed ; loop stimulation
• 刊名：Biological Cybernetics
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：110
• 期：1
• 页码：55-71
• 全文大小：1,223 KB
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• 作者单位：Ihab Haidar (1)
  William Pasillas-Lépine (1)
  Antoine Chaillet (1)
  Elena Panteley (1) (5)
  Stéphane Palfi (2) (3) (4)
  Suhan Senova (2) (3) (4)
  
  1. Laboratoire des signaux et systèmes, CNRS – CentraleSupélec – Univ. Paris Sud, Gif-sur-Yvette, France
  5. ITMO University, Saint Petersburg, Russia
  2. AP-HP, Hôpital H. Mondor, Service de Neurochirurgie, Créteil, France
  3. IMRB, Inserm, U955, Equipe 14, Créteil, France
  4. Faculté de médecine, Université Paris Est, Créteil, France
  
• 刊物类别：Biomedical and Life Sciences
• 刊物主题：Biomedicine
  Neurosciences
  Computer Application in Life Sciences
  Neurobiology
  Bioinformatics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0770

文摘

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. Keywords Neural oscillations Firing rate models Time-delay systems Basal ganglia Parkinson’s disease Deep brain stimulation Closed-loop stimulation