Stabilization of Weakly Unstable Fixed Points as a Common Dynamical Mechanism of High-Frequency Electrical Stimulation
Stabilization of Weakly Unstable Fixed Points as a Common Dynamical Mechanism of High-Frequency Electrical Stimulation
复制标题
弱不稳定固定点的稳定作为高频电刺激的常见动力学机制
DOI：
10.1038/s41598-020-62839-6
复制
发表时间：
2020
影响因子：
4.6
通讯作者：
Wilson, Dan
中科院分区：
文献类型：
--
作者：
Wilson, Dan
高频电刺激常用于治疗各种生物疾病，但其作用的动力学机制尚不清楚。在这项工作中，高频电刺激被认为是在神经系统和心脏系统的背景下。尽管这些系统之间存在固有的差异，但理论和计算模型的结果表明，在高频刺激下，行为发生可取的质变的动力机制是相同的。具体来说，在周期性放电神经元群体中观察到的去同步和心肌细胞中发生的可逆传导阻滞都是由刺激引起的分叉引起的，这种刺激改变了不稳定固定点的稳定性。利用降阶相幅建模框架，从理论角度对这一现象进行了详细描述。结果与先前发表的实验观察结果一致，并提供了额外的见解。此外，还发现正弦输入是能量最优的，可以利用周期激励来修正弱不稳定不动点的稳定性。
While high-frequency electrical stimulation often used to treat various biological diseases, it is generally difficult to understand its dynamical mechanisms of action. In this work, high-frequency electrical stimulation is considered in the context of neurological and cardiological systems. Despite inherent differences between these systems, results from both theory and computational modeling suggest identical dynamical mechanisms responsible for desirable qualitative changes in behavior in response to high-frequency stimuli. Specifically, desynchronization observed in a population of periodically firing neurons and reversible conduction block that occurs in cardiomyocytes both result from bifurcations engendered by stimulation that modifies the stability of unstable fixed points. Using a reduced order phase-amplitude modeling framework, this phenomenon is described in detail from a theoretical perspective. Results are consistent with and provide additional insight for previously published experimental observations. Also, it is found that sinusoidal input is energy-optimal for modifying the stability of weakly unstable fixed points using periodic stimulation.
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具有分段平滑动力学和复杂 Floquet 乘法器的振荡器的等稳态还原。
DOI：
10.1103/physreve.99.022210
发表时间：
2019
期刊：
Physical review. E
影响因子：
--
作者：
Dan Wilson
通讯作者：
Dan Wilson
影响因子：
--
作者：
Bronstein JM;Tagliati M;Alterman RL;Lozano AM;Volkmann J;Stefani A;Horak FB;Okun MS;Foote KD;Krack P;Pahwa R;Henderson JM;Hariz MI;Bakay RA;Rezai A;Marks WJ Jr;Moro E;Vitek JL;Weaver FM;Gross RE;DeLong MR
通讯作者：
DeLong MR
影响因子：
4.6
作者：
Roth, BJ
通讯作者：
Roth, BJ
DOI：
10.1109/robot.2003.1241801
发表时间：
2003
期刊：
2003 IEEE International Conference on Robotics and Automation (Cat. No.03CH37422)
影响因子：
--
作者：
P. Vela;J. Burdick
通讯作者：
J. Burdick
影响因子：
1.9
作者：
Pyragas, Kestutis;Novicenko, Viktor;Tass, Peter Alexander
通讯作者：
Tass, Peter Alexander