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Phase-amplitude coupling in neuronal oscillator networks 神经振荡器网络的相幅耦合
Pub Date : 2020-12-08 DOI: 10.1103/PhysRevResearch.3.023218
Yuzhen Qin, Tommaso Menara, D. Bassett, F. Pasqualetti
Phase-amplitude coupling (PAC) describes the phenomenon where the power of a high-frequency oscillation evolves with the phase of a low-frequency one. We propose a model that explains the emergence of PAC in two commonly-accepted architectures in the brain, namely, a high-frequency neural oscillation driven by an external low-frequency input and two interacting local oscillations with distinct, locally-generated frequencies. We further propose an interconnection structure for brain regions and demonstrate that low-frequency phase synchrony can integrate high-frequency activities regulated by local PAC and control the direction of information flow across distant regions.
相幅耦合(PAC)是指高频振荡的功率随低频振荡的相位变化而变化的现象。我们提出了一个模型来解释大脑中两种普遍接受的结构中PAC的出现,即由外部低频输入驱动的高频神经振荡和具有不同局部产生频率的两个相互作用的局部振荡。我们进一步提出了一个脑区互连结构,并证明低频相位同步可以整合由局部PAC调节的高频活动,并控制跨远区域的信息流方向。
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引用次数: 6
Quality of internal representation shapes learning performance in feedback neural networks 内部表征的质量决定了反馈神经网络的学习性能
Pub Date : 2020-11-11 DOI: 10.1103/PHYSREVRESEARCH.3.013176
Lee Susman, F. Mastrogiuseppe, N. Brenner, O. Barak
A fundamental feature of complex biological systems is the ability to form feedback interactions with their environment. A prominent model for studying such interactions is reservoir computing, where learning acts on low-dimensional bottlenecks. Despite the simplicity of this learning scheme, the factors contributing to or hindering the success of training in reservoir networks are in general not well understood. In this work, we study non-linear feedback networks trained to generate a sinusoidal signal, and analyze how learning performance is shaped by the interplay between internal network dynamics and target properties. By performing exact mathematical analysis of linearized networks, we predict that learning performance is maximized when the target is characterized by an optimal, intermediate frequency which monotonically decreases with the strength of the internal reservoir connectivity. At the optimal frequency, the reservoir representation of the target signal is high-dimensional, de-synchronized, and thus maximally robust to noise. We show that our predictions successfully capture the qualitative behaviour of performance in non-linear networks. Moreover, we find that the relationship between internal representations and performance can be further exploited in trained non-linear networks to explain behaviours which do not have a linear counterpart. Our results indicate that a major determinant of learning success is the quality of the internal representation of the target, which in turn is shaped by an interplay between parameters controlling the internal network and those defining the task.
复杂生物系统的一个基本特征是与环境形成反馈相互作用的能力。研究这种相互作用的一个突出模型是储层计算,其中学习作用于低维瓶颈。尽管这一学习计划很简单,但对促进或阻碍水库网络训练成功的因素一般没有很好的了解。在这项工作中,我们研究了用于生成正弦信号的非线性反馈网络,并分析了内部网络动态和目标属性之间的相互作用如何塑造学习性能。通过对线性化网络进行精确的数学分析,我们预测,当目标具有最优中频特征时,学习性能将最大化,该中频随内部储层连通性的强度单调降低。在最佳频率下,目标信号的库表示是高维的、去同步的,因此对噪声具有最大的鲁棒性。我们表明,我们的预测成功地捕获了非线性网络中性能的定性行为。此外,我们发现内部表征和性能之间的关系可以在训练有素的非线性网络中进一步利用,以解释没有线性对应的行为。我们的研究结果表明,学习成功的一个主要决定因素是目标的内部表征的质量,而目标的内部表征又由控制内部网络的参数和定义任务的参数之间的相互作用形成。
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引用次数: 12
Generalisation of neuronal excitability allows for the identification of an excitability change parameter that links to an experimentally measurable value 神经元兴奋性的普遍化允许识别与实验可测量值相关的兴奋性变化参数
Pub Date : 2020-10-31 DOI: 10.5281/zenodo.4159691
J. Broek, Guillaume Drion
Neuronal excitability is the phenomena that describes action potential generation due to a stimulus input. Commonly, neuronal excitability is divided into two classes: Type I and Type II, both having different properties that affect information processing, such as thresholding and gain scaling. These properties can be mathematically studied using generalised phenomenological models, such as the Fitzhugh-Nagumo model and the mirrored FHN. The FHN model shows that each excitability type corresponds to one specific type of bifurcation in the phase plane: Type I underlies a saddle-node on invariant cycle bifurcation, and Type II a Hopf bifurcation. The difficulty of modelling Type I excitability is that it is not only represented by its underlying bifurcation, but also should be able to generate frequency while maintaining a small depolarising current. Using the mFHN model, we show that this situation is possible without modifying the phase portrait, due to the incorporation of a slow regenerative variable. We show that in the singular limit of the mFHN model, the time-scale separation can be chosen such that there is a configuration of a classical phase portrait that allows for SNIC bifurcation, zero-frequency onset and a depolarising current, such as observed in Type I excitability. Using the definition of slow conductance, g_s, we show that these mathematical findings for excitability change are translatable to reduced conductance based models and also relates to an experimentally measurable quantity. This not only allows for a measure of excitability change, but also relates the mathematical parameters that indicate a physiological Type I excitability to parameters that can be tuned during experiments.
神经元兴奋性是描述由于刺激输入而产生动作电位的现象。通常,神经元的兴奋性分为两类:I型和II型,两者都有不同的特性影响信息处理,如阈值和增益缩放。这些性质可以用广义现象学模型进行数学研究,如菲茨休-南云模型和镜像FHN模型。FHN模型表明,每一种兴奋性类型对应于相平面上的一种特定类型的分岔:I型为不变循环分岔的鞍节点,II型为Hopf分岔。I型兴奋性建模的难点在于,它不仅由其潜在的分岔来表示,而且应该能够在保持小的去极化电流的情况下产生频率。使用mFHN模型,我们表明,由于纳入了缓慢再生变量,这种情况在不修改相位肖像的情况下是可能的。我们表明,在mFHN模型的奇异极限下,可以选择时间尺度分离,这样就有一个经典相位肖像的配置,允许SNIC分岔,零频率开始和去极化电流,如在I型兴奋性中观察到的。利用慢电导g_s的定义,我们证明了这些关于兴奋性变化的数学发现可以转化为基于降低电导的模型,并且还涉及到一个实验可测量的量。这不仅允许测量兴奋性变化,而且还将表明生理I型兴奋性的数学参数与可以在实验中调整的参数联系起来。
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引用次数: 0
Short term memory by transient oscillatory dynamics in recurrent neural networks 递归神经网络的瞬态振荡动态短时记忆
Pub Date : 2020-10-29 DOI: 10.1103/PhysRevResearch.3.033193
K. Ichikawa, K. Kaneko
Despite the importance of short-term memory in cognitive function, how the input information is encoded and sustained in neural activity dynamics remains elusive. Here, by training recurrent neural networks to short-term memory tasks and analyzing the dynamics, the characteristic of the short-term memory mechanism was obtained in which the input information was encoded in the amplitude of transient oscillation, rather than the stationary neural activities. This transient orbit was attracted to a slow manifold, which allowed for the discarding of irrelevant information. Strong contraction to the manifold results in the noise robustness of the transient orbit, accordingly to the memory. The generality of the result and its relevance to neural information processing were discussed.
尽管短期记忆在认知功能中的重要性,但输入信息如何在神经活动动力学中被编码和维持仍然是一个谜。本文通过对递归神经网络短期记忆任务的训练和动态分析,得到了递归神经网络短期记忆机制的特征,即输入信息编码在瞬态振荡振幅中,而不是固定的神经活动中。这个短暂的轨道被吸引到一个缓慢的流形上,这允许丢弃不相关的信息。对流形的强收缩使暂态轨道的噪声具有鲁棒性,与记忆性相适应。讨论了结果的通用性及其与神经信息处理的相关性。
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引用次数: 5
Predicting brain evoked response to external stimuli from temporal correlations of spontaneous activity 从自发活动的时间相关性预测大脑对外部刺激的诱发反应
Pub Date : 2020-09-02 DOI: 10.1103/PhysRevResearch.2.033355
Alessandro Sarracino, O. Arviv, O. Shriki, L. Arcangelis
The relation between spontaneous and stimulated global brain activity is a fundamental problem in the understanding of brain functions. This question is investigated both theoretically and experimentally within the context of nonequilibrium fluctuation-dissipation relations. We consider the stochastic coarse-grained Wilson-Cowan model in the linear noise approximation and compare analytical results to experimental data from magnetoencephalography (MEG) of human brain. The short time behavior of the autocorrelation function for spontaneous activity is characterized by a double-exponential decay, with two characteristic times, differing by two orders of magnitude. Conversely, the response function exhibits a single exponential decay in agreement with experimental data for evoked activity under visual stimulation. Results suggest that the brain response to weak external stimuli can be predicted from the observation of spontaneous activity and pave the way to controlled experiments on the brain response under different external perturbations.
自发脑活动和受刺激脑活动之间的关系是理解脑功能的一个基本问题。这个问题在非平衡波动-耗散关系的背景下进行了理论和实验研究。在线性噪声近似中考虑随机粗粒度Wilson-Cowan模型,并将分析结果与人脑脑磁图(MEG)实验数据进行比较。自发活动的自相关函数的短时间行为表现为双指数衰减,具有两个特征时间,相差两个数量级。相反,响应函数呈现单一指数衰减,与视觉刺激下诱发活动的实验数据一致。结果表明,可以通过观察自发活动来预测大脑对弱外界刺激的反应,为不同外界扰动下大脑反应的对照实验奠定了基础。
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引用次数: 13
Memory systems of the brain 大脑的记忆系统
Pub Date : 2020-09-01 DOI: 10.31219/OSF.IO/W6KN9
Alvaro Pastor
Humans have long been fascinated by how memories are formed, how they can be damaged or lost, or still seem vibrant after many years. Thus the search for the locus and organization of memory has had a long history, in which the notion that is is composed of distinct systems developed during the second half of the 20th century.A fundamental dichotomy between conscious and unconscious memory processes was first drawn based on evidences from the study of amnesiac subjects and the systematic experimental work with animals. The use of behavioral and neural measures together with imaging techniques have progressively led researchers to agree in the existence of a variety of neural architectures that support multiple memory systems.This article presents a historical lens with which to contextualize these idea on memory systems, and provides a current account for the multiple memory systems model.
长期以来,人类一直着迷于记忆是如何形成的,它们是如何被破坏或丢失的,或者在多年后仍然充满活力。因此,对记忆的轨迹和组织的研究已经有了很长的历史,在20世纪下半叶,记忆由不同的系统组成的概念得到了发展。有意识和无意识记忆过程之间的基本二分法首先是基于对失忆症受试者的研究和系统的动物实验工作的证据得出的。行为和神经测量以及成像技术的使用逐渐使研究人员同意存在多种支持多种记忆系统的神经结构。本文提供了一个历史视角,将这些思想与记忆系统联系起来,并提供了一个当前的多记忆系统模型。
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引用次数: 0
Feedback Gains modulate with Motor Memory Uncertainty 反馈增益与运动记忆不确定性调制
Pub Date : 2020-08-17 DOI: 10.51628/001C.22336
Sae Franklin, D. W. Franklin
A sudden change in dynamics produces large errors leading to increases in muscle co-contraction and feedback gains during early adaptation. We previously proposed that internal model uncertainty drives these changes, whereby the sensorimotor system reacts to the change in dynamics by upregulating stiffness and feedback gains to reduce the effect of model errors. However, these feedback gain increases have also been suggested to represent part of the adaptation mechanism. Here, we investigate this by examining changes in visuomotor feedback gains during gradual or abrupt force field adaptation. Participants grasped a robotic manipulandum and reached while a curl force field was introduced gradually or abruptly. Abrupt introduction of dynamics elicited large initial increases in kinematic error, muscle co-contraction and visuomotor feedback gains, while gradual introduction showed little initial change in these measures despite evidence of adaptation. After adaptation had plateaued, there was a change in the co-contraction and visuomotor feedback gains relative to null field movements, but no differences (apart from the final muscle activation pattern) between the abrupt and gradual introduction of dynamics. This suggests that the initial increase in feedback gains is not part of the adaptation process, but instead an automatic reactive response to internal model uncertainty. In contrast, the final level of feedback gains is a predictive tuning of the feedback gains to the external dynamics as part of the internal model adaptation. Together, the reactive and predictive feedback gains explain the wide variety of previous experimental results of feedback changes during adaptation.
动态的突然变化会产生很大的误差,导致肌肉共同收缩的增加和早期适应过程中的反馈增益。我们之前提出,内部模型的不确定性驱动了这些变化,因此感觉运动系统通过上调刚度和反馈增益来对动态变化做出反应,以减少模型误差的影响。然而,这些反馈增益的增加也被认为是适应机制的一部分。在这里,我们通过检查在逐渐或突然力场适应过程中视觉运动反馈增益的变化来研究这一点。参与者在逐渐或突然引入旋度力场的情况下,抓住一个机器人操纵杆并到达。突然引入动力学引起了运动学误差、肌肉共收缩和视觉运动反馈增益的大量初始增加,而逐渐引入这些措施显示了很少的初始变化,尽管有适应的证据。在适应达到平台期后,相对于零场运动,共收缩和视觉运动反馈增益发生了变化,但突然和逐渐引入动态之间没有差异(除了最终的肌肉激活模式)。这表明反馈增益的初始增加不是适应过程的一部分,而是对内部模型不确定性的自动反应。相反,反馈增益的最终水平是对外部动态反馈增益的预测性调整,作为内部模型适应的一部分。总之,反应性和预测性反馈增益解释了适应过程中反馈变化的各种各样的先前实验结果。
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引用次数: 5
Simple RGC: ImageJ Plugins for Counting Retinal Ganglion Cells and Determining the Transduction Efficiency of Viral Vectors in Retinal Wholemounts 简单的RGC: ImageJ插件用于计数视网膜神经节细胞和确定病毒载体在视网膜整体的转导效率
Pub Date : 2020-08-14 DOI: 10.5334/jors.342
Tiger Cross, Rasika Navarange, Joon-ho Son, William Burr, Arjun Singh, Kelvin Zhang, M. Rusu, Konstantinos Gkoutzis, A. Osborne, Bart Nieuwenhuis Department of Computing, I. -. London, John van Geest Centre for Brain Repair, Department of Clinical Neurosciences, U. Cambridge, L. Systems, Netherlands Institute for Neuroscience, R. Arts, Sciences
Simple RGC consists of a collection of ImageJ plugins to assist researchers investigating retinal ganglion cell (RGC) injury models in addition to helping assess the effectiveness of treatments. The first plugin named RGC Counter accurately calculates the total number of RGCs from retinal wholemount images. The second plugin named RGC Transduction measures the co-localisation between two channels making it possible to determine the transduction efficiencies of viral vectors and transgene expression levels. The third plugin named RGC Batch is a batch image processor to deliver fast analysis of large groups of microscope images. These ImageJ plugins make analysis of RGCs in retinal wholemounts easy, quick, consistent, and less prone to unconscious bias by the investigator. The plugins are freely available from the ImageJ update site this https URL.
Simple RGC包括一系列ImageJ插件,以帮助研究人员调查视网膜神经节细胞(RGC)损伤模型,并帮助评估治疗的有效性。第一个名为RGC计数器的插件准确地计算了视网膜整体图像中RGC的总数。第二个插件名为RGC Transduction,测量两个通道之间的共定位,从而可以确定病毒载体的转导效率和转基因表达水平。第三个插件名为RGC Batch,它是一个批处理图像处理器,可以快速分析大量显微镜图像。这些ImageJ插件使视网膜整体中rgc的分析变得简单、快速、一致,并且不容易受到研究者无意识偏见的影响。这些插件可以从ImageJ更新站点的https URL免费获得。
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引用次数: 8
Poincaré Return Maps in Neural Dynamics: Three Examples 神经动力学中的poincarcars返回图:三个例子
Pub Date : 2020-07-08 DOI: 10.1007/978-3-030-60107-2_3
M. Kolomiets, A. Shilnikov
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引用次数: 0
Synchronization malleability in neural networks under a distance-dependent coupling 距离依赖耦合下神经网络的同步延展性
Pub Date : 2020-06-05 DOI: 10.1103/physrevresearch.2.043309
R. Budzinski, K. L. Rossi, B. Boaretto, T. L. Prado, S. R. Lopes
We investigate the synchronization features of a network of spiking neurons under a distance-dependent coupling following a power-law model. The interplay between topology and coupling strength leads to the existence of different spatiotemporal patterns, corresponding to either non-synchronized or phase-synchronized states. Particularly interesting is what we call synchronization malleability, in which the system depicts significantly different phase synchronization degrees for the same parameters as a consequence of a different ordering of neural inputs. We analyze the functional connectivity of the network by calculating the mutual information between neuronal spike trains, allowing us to characterize the structures of synchronization in the network. We show that these structures are dependent on the ordering of the inputs for the parameter regions where the network presents synchronization malleability and we suggest that this is due to a balance between local and global effects.
我们研究了一个基于幂律模型的距离依赖耦合下的尖峰神经元网络的同步特征。拓扑结构和耦合强度之间的相互作用导致了不同时空模式的存在,对应于非同步或相同步状态。特别有趣的是我们所说的同步延展性,在这种情况下,对于相同的参数,系统描述了显著不同的相位同步度,这是神经输入顺序不同的结果。我们通过计算神经元尖峰序列之间的互信息来分析网络的功能连通性,使我们能够表征网络中的同步结构。我们表明,这些结构依赖于网络呈现同步延展性的参数区域的输入顺序,我们认为这是由于局部和全局效应之间的平衡。
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引用次数: 4
期刊
arXiv: Neurons and Cognition
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