Haidar Ihab, Pasillas-Lépine William, Chaillet Antoine, Panteley Elena, Palfi Stéphane, Senova Suhan
Laboratoire des signaux et systèmes, CNRS - CentraleSupélec - Univ. Paris Sud, Gif-sur-Yvette, France.
ITMO University, Saint Petersburg, Russia.
Biol Cybern. 2016 Feb;110(1):55-71. doi: 10.1007/s00422-015-0678-y. Epub 2016 Feb 2.
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.
本文基于对基底神经节的模型分析，为丘脑底核中的一群神经元开发了一种新的闭环放电率调节策略。该系统采用放电率模型进行描述，以分析β波段振荡的产生。在该系统上，对帕金森病案例中的放电率进行比例调节会降低丘脑底核-苍白球环路的增益，从而抑制病理性振荡的产生。为避免由于驱动和测量延迟导致反馈回路潜在的不稳定性，在此比例调节方案中添加了一个频率选择合适的滤波器。我们的主要成果是一组关于刺激策略参数的条件，这些条件保证了其稳定性和规定的延迟裕度。文中还讨论了所提方法的适用性并给出了完整的数学证明。
