Phase dependence of response curves to stimulation and their relationship: from a Wilson-Cowan model to essential tremor patient data
Phase dependence of response curves to stimulation and their relationship: from a Wilson-Cowan model to essential tremor patient data
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刺激响应曲线的相位依赖性及其关系：从 Wilson-Cowan 模型到特发性震颤患者数据
DOI：
10.1101/535880
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Duchet B
中科院分区：
文献类型：
--
作者：
Duchet B
特发性震颤主要表现为上肢震颤。一种治疗选择是高频脑深部刺激，其以约130 Hz的频率向丘脑的腹侧中间核连续提供电刺激。研究人员一直在研究减少刺激，主要是为了减少副作用。一种策略是锁相脑深部电刺激，包括根据震颤的相位进行刺激，每个周期一次。在这项研究中，我们的目标是再现的相位依赖的影响，刺激患者的数据与生物启发威尔逊-考恩模型。为此，我们首先分析患者数据，并得出结论，一半的数据集的响应曲线，更好地描述了正弦曲线比直线，而相位的影响不能一致地确定在剩下的一半。使用希尔伯特相位，我们推导出相位和振幅响应的相位相关的刺激和研究它们之间的关系的线性化的稳定的焦点模型，简化的威尔逊-考恩模型在稳定的焦点制度的解析表达式。分析结果为在患者中观察到的反应曲线提供了良好的近似值，具有一致的显著性。此外，我们将完整的非线性Wilson-Cowan模型拟合到这些患者，并且我们表明该模型可以在每种情况下拟合患者震颤的动力学以及相位响应曲线，并且发现最佳拟合是每个患者的稳定病灶（在一种情况下捆绑最佳拟合）。该模型提供了令人满意的预测患者震颤将如何通过预测患者的振幅响应曲线，虽然他们没有明确地拟合锁相刺激的反应。这可以通过模型中响应曲线之间的关系与数据中发现的内容兼容来部分解释。我们还注意到，非线性威尔逊-考恩模型能够更精确地描述对刺激的反应。
Essential tremor manifests predominantly as a tremor of the upper limbs. One therapy option is high-frequency deep brain stimulation, which continuously delivers electrical stimulation to the ventral intermediate nucleus of the thalamus at about 130 Hz. Investigators have been looking at stimulating less, chiefly to reduce side effects. One strategy, phase-locked deep brain stimulation, consists of stimulating according to the phase of the tremor, once per period. In this study, we aim to reproduce the phase dependent effects of stimulation seen in patient data with a biologically inspired Wilson-Cowan model. To this end, we first analyse patient data, and conclude that half of the datasets have response curves that are better described by sinusoidal curves than by straight lines, while an effect of phase cannot be consistently identified in the remaining half. Using the Hilbert phase we derive analytical expressions for phase and amplitude responses to phase-dependent stimulation and study their relationship in the linearisation of a stable focus model, a simplification of the Wilson-Cowan model in the stable focus regime. Analytical results provide a good approximation for response curves observed in patients with consistent significance. Additionally, we fitted the full non-linear Wilson-Cowan model to these patients, and we show that the model can fit in each case to the dynamics of patient tremor as well as the phase response curve, and the best fits are found to be stable foci for each patients (tied best fit in one instance). The model provides satisfactory prediction of how patient tremor will react to phase-locked stimulation by predicting patient amplitude response curves although they were not explicitly fitted. This can be partially explained by the relationship between the response curves in the model being compatible with what is found in the data. We also note that the non-linear Wilson-Cowan model is able to describe response to stimulation more precisely than the linearisation.
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影响因子：
4.3
作者：
G. Weerasinghe;Benoit Duchet;Hayriye Cagnan;P. Brown;C. Bick;R. Bogacz
通讯作者：
G. Weerasinghe;Benoit Duchet;Hayriye Cagnan;P. Brown;C. Bick;R. Bogacz
影响因子：
2.7
作者：
Benjamini, Yoav;Krieger, Abba M.;Yekutieli, Daniel
通讯作者：
Yekutieli, Daniel
生物系统的相还原和基于相的最优控制：教程
影响因子：
1.9
作者：
Monga, Bharat;Wilson, Dan;Matchen, Tim;Moehlis, Jeff
通讯作者：
Moehlis, Jeff
神经振荡器模型的相位-幅度描述
影响因子：
2.3
作者：
K. Wedgwood;Kevin K. Lin;R. Thul;S. Coombes
通讯作者：
S. Coombes
DOI：
10.1137/17m1153261
发表时间：
2018-10
期刊：
SIAM J. Appl. Dyn. Syst.
影响因子：
--
作者：
Dan Wilson;B. Ermentrout
通讯作者：
Dan Wilson;B. Ermentrout