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Temporal filters in response to presynaptic spike trains: interplay of cellular, synaptic and short-term plasticity time scales. 响应突触前尖峰序列的时间过滤器:细胞、突触和短期可塑性时间尺度的相互作用。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-11-01 DOI: 10.1007/s10827-022-00822-y
Yugarshi Mondal, Rodrigo F O Pena, Horacio G Rotstein

Temporal filters, the ability of postsynaptic neurons to preferentially select certain presynaptic input patterns over others, have been shown to be associated with the notion of information filtering and coding of sensory inputs. Short-term plasticity (depression and facilitation; STP) has been proposed to be an important player in the generation of temporal filters. We carry out a systematic modeling, analysis and computational study to understand how characteristic postsynaptic (low-, high- and band-pass) temporal filters are generated in response to periodic presynaptic spike trains in the presence STP. We investigate how the dynamic properties of these filters depend on the interplay of a hierarchy of processes, including the arrival of the presynaptic spikes, the activation of STP, its effect on the excitatory synaptic connection efficacy, and the response of the postsynaptic cell. These mechanisms involve the interplay of a collection of time scales that operate at the single-event level (roughly, during each presynaptic interspike-interval) and control the long-term development of the temporal filters over multiple presynaptic events. These time scales are generated at the levels of the presynaptic cell (captured by the presynaptic interspike-intervals), short-term depression and facilitation, synaptic dynamics and the post-synaptic cellular currents. We develop mathematical tools to link the single-event time scales with the time scales governing the long-term dynamics of the resulting temporal filters for a relatively simple model where depression and facilitation interact at the level of the synaptic efficacy change. We extend our results and tools to account for more complex models. These include multiple STP time scales and non-periodic presynaptic inputs. The results and ideas we develop have implications for the understanding of the generation of temporal filters in complex networks for which the simple feedforward network we investigate here is a building block.

时间过滤,即突触后神经元优先选择某些突触前输入模式的能力,已被证明与信息过滤和感觉输入编码的概念有关。短期可塑性(压抑和促进);STP在时间滤波器的生成中起着重要的作用。我们进行了系统的建模、分析和计算研究,以了解在STP存在的情况下,如何响应周期性突触前尖峰序列而产生特征突触后(低、高和带通)时间滤波器。我们研究了这些过滤器的动态特性如何依赖于一系列过程的相互作用,包括突触前尖峰的到达、STP的激活、其对兴奋性突触连接效率的影响以及突触后细胞的反应。这些机制涉及在单事件水平(大致在每个突触前突间间隔期间)操作的一系列时间尺度的相互作用,并控制多个突触前事件的时间过滤器的长期发展。这些时间尺度产生于突触前细胞(被突触前突间间隔捕获)、短期抑制和促进、突触动力学和突触后细胞电流的水平。我们开发了数学工具,将单事件时间尺度与控制由此产生的时间过滤器的长期动态的时间尺度联系起来,建立了一个相对简单的模型,其中抑郁和促进在突触效能变化水平上相互作用。我们扩展我们的结果和工具来解释更复杂的模型。这些包括多个STP时间尺度和非周期性突触前输入。我们开发的结果和想法对理解复杂网络中时间滤波器的生成具有重要意义,我们在这里研究的简单前馈网络是一个构建块。
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引用次数: 4
Weight dependence in BCM leads to adjustable synaptic competition. BCM的体重依赖性导致可调节的突触竞争。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-11-01 DOI: 10.1007/s10827-022-00824-w
Albert Albesa-González, Maxime Froc, Oliver Williamson, Mark C W van Rossum

Models of synaptic plasticity have been used to better understand neural development as well as learning and memory. One prominent classic model is the Bienenstock-Cooper-Munro (BCM) model that has been particularly successful in explaining plasticity of the visual cortex. Here, in an effort to include more biophysical detail in the BCM model, we incorporate 1) feedforward inhibition, and 2) the experimental observation that large synapses are relatively harder to potentiate than weak ones, while synaptic depression is proportional to the synaptic strength. These modifications change the outcome of unsupervised plasticity under the BCM model. The amount of feed-forward inhibition adds a parameter to BCM that turns out to determine the strength of competition. In the limit of strong inhibition the learning outcome is identical to standard BCM and the neuron becomes selective to one stimulus only (winner-take-all). For smaller values of inhibition, competition is weaker and the receptive fields are less selective. However, both BCM variants can yield realistic receptive fields.

突触可塑性模型已经被用来更好地理解神经发育以及学习和记忆。一个突出的经典模型是Bienenstock-Cooper-Munro (BCM)模型,它在解释视觉皮层的可塑性方面特别成功。在这里,为了在BCM模型中包含更多的生物物理细节,我们结合了1)前馈抑制,以及2)实验观察到的大突触比弱突触相对更难增强,而突触抑制与突触强度成正比。这些修正改变了BCM模型下的无监督塑性结果。前馈抑制的数量为BCM增加了一个参数,最终决定了竞争的强度。在强抑制的极限下,学习结果与标准BCM相同,神经元只选择一个刺激(赢者通吃)。抑制值越小,竞争越弱,接受野的选择性越差。然而,这两种BCM变体都可以产生现实的接受域。
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引用次数: 2
Thalamocortical bistable switch as a theoretical model of fibromyalgia pathogenesis inferred from a literature survey. 从文献综述中推断丘脑皮质双稳态开关是纤维肌痛发病的理论模型。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-11-01 DOI: 10.1007/s10827-022-00826-8
Ilaria Demori, Giulia Giordano, Viviana Mucci, Serena Losacco, Lucio Marinelli, Paolo Massobrio, Franco Blanchini, Bruno Burlando

Fibromyalgia (FM) is an unsolved central pain processing disturbance. We aim to provide a unifying model for FM pathogenesis based on a loop network involving thalamocortical regions, i.e., the ventroposterior lateral thalamus (VPL), the somatosensory cortex (SC), and the thalamic reticular nucleus (TRN). The dynamics of the loop have been described by three differential equations having neuron mean firing rates as variables and containing Hill functions to model mutual interactions among the loop elements. A computational analysis conducted with MATLAB has shown a transition from monostability to bistability of the loop behavior for a weakening of GABAergic transmission between TRN and VPL. This involves the appearance of a high-firing-rate steady state, which becomes dominant and is assumed to represent pathogenic pain processing giving rise to chronic pain. Our model is consistent with a bulk of literature evidence, such as neuroimaging and pharmacological data collected on FM patients, and with correlations between FM and immunoendocrine conditions, such as stress, perimenopause, chronic inflammation, obesity, and chronic dizziness. The model suggests that critical targets for FM treatment are to be found among immunoendocrine pathways leading to GABA/glutamate imbalance having an impact on the thalamocortical system.

纤维肌痛(FM)是一种尚未解决的中枢性疼痛加工障碍。我们的目标是为FM的发病机制提供一个基于循环网络的统一模型,该网络涉及丘脑皮质区域,即丘脑腹后外侧区(VPL)、体感皮层(SC)和丘脑网状核(TRN)。回路的动力学用三个微分方程来描述,这些微分方程以神经元平均放电率为变量,并包含Hill函数来模拟回路元素之间的相互作用。利用MATLAB进行的计算分析表明,由于TRN和VPL之间的gaba能传输减弱,环路行为从单稳态转变为双稳态。这涉及到高射击率稳定状态的出现,它成为主导,并被认为代表引起慢性疼痛的致病性疼痛过程。我们的模型与大量文献证据一致,例如收集的FM患者的神经影像学和药理学数据,以及FM与免疫内分泌状况(如压力、围绝经期、慢性炎症、肥胖和慢性头晕)之间的相关性。该模型表明,在导致GABA/谷氨酸失衡影响丘脑皮质系统的免疫内分泌途径中,可以找到FM治疗的关键靶点。
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引用次数: 2
Probabilistic solvers enable a straight-forward exploration of numerical uncertainty in neuroscience models. 概率解算器可以直接探索神经科学模型中的数值不确定性。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-11-01 DOI: 10.1007/s10827-022-00827-7
Jonathan Oesterle, Nicholas Krämer, Philipp Hennig, Philipp Berens

Understanding neural computation on the mechanistic level requires models of neurons and neuronal networks. To analyze such models one typically has to solve coupled ordinary differential equations (ODEs), which describe the dynamics of the underlying neural system. These ODEs are solved numerically with deterministic ODE solvers that yield single solutions with either no, or only a global scalar error indicator on precision. It can therefore be challenging to estimate the effect of numerical uncertainty on quantities of interest, such as spike-times and the number of spikes. To overcome this problem, we propose to use recently developed sampling-based probabilistic solvers, which are able to quantify such numerical uncertainties. They neither require detailed insights into the kinetics of the models, nor are they difficult to implement. We show that numerical uncertainty can affect the outcome of typical neuroscience simulations, e.g. jittering spikes by milliseconds or even adding or removing individual spikes from simulations altogether, and demonstrate that probabilistic solvers reveal these numerical uncertainties with only moderate computational overhead.

在机制层面上理解神经计算需要神经元和神经网络的模型。要分析这种模型,通常必须求解耦合常微分方程(ode),它描述了底层神经系统的动力学。这些ODE是用确定性ODE求解器进行数值求解的,该求解器产生单个解,在精度上没有或只有全局标量误差指示器。因此,估计数值不确定性对感兴趣的数量(如峰值时间和峰值数量)的影响可能具有挑战性。为了克服这个问题,我们建议使用最近开发的基于抽样的概率求解器,它能够量化这种数值不确定性。它们既不需要详细了解模型的动力学,也不难以实现。我们表明数值不确定性可以影响典型神经科学模拟的结果,例如毫秒级的抖动尖峰,甚至从模拟中添加或删除单个尖峰,并证明概率解算器只需要适度的计算开销就可以揭示这些数值不确定性。
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引用次数: 0
Homogeneous inhibition is optimal for the phase precession of place cells in the CA1 field. 均匀抑制对于CA1区中定位细胞的相位进动是最佳的。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 Epub Date: 2023-07-05 DOI: 10.1007/s10827-023-00855-x
Georgy Vandyshev, Ivan Mysin

Place cells are hippocampal neurons encoding the position of an animal in space. Studies of place cells are essential to understanding the processing of information by neural networks of the brain. An important characteristic of place cell spike trains is phase precession. When an animal is running through the place field, the discharges of the place cells shift from the ascending phase of the theta rhythm through the minimum to the descending phase. The role of excitatory inputs to pyramidal neurons along the Schaffer collaterals and the perforant pathway in phase precession is described, but the role of local interneurons is poorly understood. Our goal is estimating of the contribution of field CA1 interneurons to the phase precession of place cells using mathematical methods. The CA1 field is chosen because it provides the largest set of experimental data required to build and verify the model. Our simulations discover optimal parameters of the excitatory and inhibitory inputs to the pyramidal neuron so that it generates a spike train with the effect of phase precession. The uniform inhibition of pyramidal neurons best explains the effect of phase precession. Among interneurons, axo-axonal neurons make the greatest contribution to the inhibition of pyramidal cells.

位置细胞是海马神经元,编码动物在太空中的位置。对位置细胞的研究对于理解大脑神经网络对信息的处理至关重要。位置细胞尖峰序列的一个重要特征是相位进动。当动物在场地中奔跑时,场地细胞的放电从θ节律的上升期通过最小值转移到下降期。对沿Schaffer络和穿孔通路的锥体神经元的兴奋性输入在相位进动中的作用进行了描述,但对局部中间神经元的作用知之甚少。我们的目标是使用数学方法估计场CA1中间神经元对位置细胞相位进动的贡献。之所以选择CA1字段,是因为它提供了构建和验证模型所需的最大实验数据集。我们的模拟发现了锥体神经元兴奋性和抑制性输入的最佳参数,从而使其产生具有相位进动影响的尖峰序列。锥体神经元的均匀抑制最好地解释了相位进动的影响。在中间神经元中,轴突神经元对锥体细胞的抑制作用最大。
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引用次数: 0
Hierarchical processing underpins competition in tactile perceptual bistability. 分级处理是触觉-知觉双稳态竞争的基础。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 Epub Date: 2023-05-19 DOI: 10.1007/s10827-023-00852-0
Farzaneh Darki, Andrea Ferrario, James Rankin

Ambiguous sensory information can lead to spontaneous alternations between perceptual states, recently shown to extend to tactile perception. The authors recently proposed a simplified form of tactile rivalry which evokes two competing percepts for a fixed difference in input amplitudes across antiphase, pulsatile stimulation of the left and right fingers. This study addresses the need for a tactile rivalry model that captures the dynamics of perceptual alternations and that incorporates the structure of the somatosensory system. The model features hierarchical processing with two stages. The first and the second stages of model could be located at the secondary somatosensory cortex (area S2), or in higher areas driven by S2. The model captures dynamical features specific to the tactile rivalry percepts and produces general characteristics of perceptual rivalry: input strength dependence of dominance times (Levelt's proposition II), short-tailed skewness of dominance time distributions and the ratio of distribution moments. The presented modelling work leads to experimentally testable predictions. The same hierarchical model could generalise to account for percept formation, competition and alternations for bistable stimuli that involve pulsatile inputs from the visual and auditory domains.

模糊的感官信息会导致感知状态之间的自发变化,最近显示这种变化延伸到触觉。作者最近提出了一种简化形式的触觉对抗,它唤起了两种相互竞争的感知,即在左手和右手手指的反相脉动刺激中输入振幅的固定差异。这项研究解决了对触觉竞争模型的需求,该模型捕捉感知变化的动态,并结合了体感系统的结构。该模型的特点是分两个阶段进行分层处理。模型的第一和第二阶段可以位于次级体感皮层(S2区域),或者位于S2驱动的更高区域。该模型捕捉了触觉竞争感知特有的动态特征,并产生了感知竞争的一般特征:支配时间的输入强度依赖性(Levelt命题II)、支配时间分布的短尾偏斜度和分布矩的比率。所提出的建模工作导致了可通过实验测试的预测。同样的层次模型可以广义地解释双稳态刺激的感知形成、竞争和交替,双稳态刺激涉及来自视觉和听觉领域的脉动输入。
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引用次数: 0
Comparing performance between a deep neural network and monkeys with bilateral removals of visual area TE in categorizing feature-ambiguous stimuli. 比较深度神经网络和双侧去除视觉区域TE的猴子在对特征模糊刺激进行分类方面的表现。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 Epub Date: 2023-05-17 DOI: 10.1007/s10827-023-00854-y
Narihisa Matsumoto, Mark A G Eldridge, J Megan Fredericks, Kaleb A Lowe, Barry J Richmond

In the canonical view of visual processing the neural representation of complex objects emerges as visual information is integrated through a set of convergent, hierarchically organized processing stages, ending in the primate inferior temporal lobe. It seems reasonable to infer that visual perceptual categorization requires the integrity of anterior inferior temporal cortex (area TE). Many deep neural networks (DNNs) are structured to simulate the canonical view of hierarchical processing within the visual system. However, there are some discrepancies between DNNs and the primate brain. Here we evaluated the performance of a simulated hierarchical model of vision in discriminating the same categorization problems presented to monkeys with TE removals. The model was able to simulate the performance of monkeys with TE removals in the categorization task but performed poorly when challenged with visually degraded stimuli. We conclude that further development of the model is required to match the level of visual flexibility present in the monkey visual system.

在视觉处理的经典观点中,复杂物体的神经表示是随着视觉信息通过一组收敛的、分层组织的处理阶段整合而出现的,最终在灵长类动物的下颞叶结束。似乎可以合理地推断,视觉感知分类需要前颞下皮层(TE区)的完整性。许多深度神经网络(DNN)的结构是为了模拟视觉系统中层次处理的规范视图。然而,DNN和灵长类动物的大脑之间存在一些差异。在这里,我们评估了一个模拟的视觉层次模型在区分去除TE的猴子遇到的相同分类问题方面的性能。该模型能够模拟去除TE的猴子在分类任务中的表现,但在受到视觉退化刺激的挑战时表现不佳。我们得出的结论是,需要进一步开发该模型,以匹配猴子视觉系统中存在的视觉灵活性水平。
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引用次数: 0
Selective neural stimulation by leveraging electrophysiological differentiation and using pre-pulsing and non-rectangular waveforms. 利用电生理分化以及预脉冲和非矩形波形,进行选择性神经刺激。
IF 1.5 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 Epub Date: 2022-04-13 DOI: 10.1007/s10827-022-00818-8
Bemin Ghobreal, Farzan Nadim, Mesut Sahin

Efforts on selective neural stimulation have concentrated on segregating axons based on their size and geometry. Nonetheless, axons of the white matter or peripheral nerves may also differ in their electrophysiological properties. The primary objective of this study was to investigate the possibility of selective activation of axons by leveraging an assumed level of diversity in passive (Cm & Gleak) and active membrane properties (Ktemp & Gnamax). First, the stimulus waveforms with hyperpolarizing (HPP) and depolarizing pre-pulsing (DPP) were tested on selectivity in a local membrane model. The default value of membrane capacitance (Cm) was found to play a critical role in sensitivity of the chronaxie time (Chr) and rheobase (Rhe) to variations of all the four membrane parameters. Decreasing the default value of Cm, and thus the passive time constant of the membrane, amplified the sensitivity to the active parameters, Ktemp and GNamax, on Chr. The HPP waveform could selectively activate neurons even if they were diversified by membrane leakage (Gleak) only, and produced higher selectivity than DPP when parameters are varied in pairs. Selectivity measures were larger when the passive parameters (Cm & Gleak) were varied together, compared to the active parameters. Second, this novel mechanism of selectivity was investigated with non-rectangular waveforms for the stimulating phase (and HPP) in the same local membrane model. Simulation results suggest that Kt2 is the most selective waveform followed by Linear and Gaussian waveforms. Traditional rectangular pulse was among the least selective of all. Finally, a compartmental axon model confirmed the main findings of the local model that Kt2 is the most selective, but rank ordered the other waveforms differently. These results suggest a potentially novel mechanism of stimulation selectivity, leveraging electrophysiological variations in membrane properties, that can lead to various neural prosthetic applications.

选择性神经刺激的工作主要集中在根据轴突的大小和几何形状对其进行分离。然而,白质或周围神经的轴突在电生理特性上也可能存在差异。本研究的主要目的是利用被动膜特性(Cm 和 Gleak)和主动膜特性(Ktemp 和 Gnamax)的假定多样性水平,研究选择性激活轴突的可能性。首先,在局部膜模型中测试了超极化(HPP)和去极化预脉动(DPP)刺激波形的选择性。结果发现,膜电容(Cm)的默认值对计时时间(Chr)和流变基(Rhe)对所有四个膜参数变化的敏感性起着关键作用。降低 Cm 的默认值,从而降低膜的被动时间常数,会放大主动参数 Ktemp 和 GNamax 对 Chr 的敏感性。 HPP 波形可以选择性地激活神经元,即使它们只因膜泄漏(Gleak)而多样化,当参数成对变化时,其选择性高于 DPP。与主动参数相比,当被动参数(Cm 和 Gleak)一起变化时,选择性更强。其次,在相同的局部膜模型中,对刺激阶段(和 HPP)的非矩形波形研究了这种新的选择性机制。模拟结果表明,Kt2 是选择性最强的波形,其次是线性波形和高斯波形。传统矩形脉冲的选择性最小。最后,分区轴突模型证实了局部模型的主要发现,即 Kt2 的选择性最强,但对其他波形的排序有所不同。这些结果表明,利用膜特性的电生理变化,一种潜在的新型刺激选择性机制可能会带来各种神经假体应用。
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引用次数: 0
Transmission of delta band (0.5-4 Hz) oscillations from the globus pallidus to the substantia nigra pars reticulata in dopamine depletion. 多巴胺耗竭时从苍白球到黑质网状部的δ带(0.5-4 Hz)振荡的传输。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 Epub Date: 2023-06-02 DOI: 10.1007/s10827-023-00853-z
Timothy C Whalen, John E Parker, Aryn H Gittis, Jonathan E Rubin

Parkinson's disease (PD) and animal models of PD feature enhanced oscillations in several frequency bands in the basal ganglia (BG). Past research has emphasized the enhancement of 13-30 Hz beta oscillations. Recently, however, oscillations in the delta band (0.5-4 Hz) have been identified as a robust predictor of dopamine loss and motor dysfunction in several BG regions in mouse models of PD. In particular, delta oscillations in the substantia nigra pars reticulata (SNr) were shown to lead oscillations in motor cortex (M1) and persist under M1 lesion, but it is not clear where these oscillations are initially generated. In this paper, we use a computational model to study how delta oscillations may arise in the SNr due to projections from the globus pallidus externa (GPe). We propose a network architecture that incorporates inhibition in SNr from oscillating GPe neurons and other SNr neurons. In our simulations, this configuration yields firing patterns in model SNr neurons that match those measured in vivo. In particular, we see the spontaneous emergence of near-antiphase active-predicting and inactive-predicting neural populations in the SNr, which persist under the inclusion of STN inputs based on experimental recordings. These results demonstrate how delta oscillations can propagate through BG nuclei despite imperfect oscillatory synchrony in the source site, narrowing down potential targets for the source of delta oscillations in PD models and giving new insight into the dynamics of SNr oscillations.

帕金森病(PD)和帕金森病动物模型的特征是基底神经节(BG)中几个频带的振荡增强。过去的研究强调了13-30Hzβ振荡的增强。然而,最近,在PD小鼠模型中,δ带(0.5-4 Hz)的振荡已被确定为多巴胺损失和几个BG区域运动功能障碍的有力预测因子。特别是,黑质网状部(SNr)的δ振荡被证明会导致运动皮层(M1)的振荡,并在M1损伤下持续存在,但尚不清楚这些振荡最初是在哪里产生的。在本文中,我们使用一个计算模型来研究由于苍白球(GPe)的投影,SNr中可能会出现德尔塔振荡。我们提出了一种网络结构,该结构结合了振荡GPe神经元和其他SNr神经元对SNr的抑制。在我们的模拟中,这种配置在模型SNr神经元中产生的放电模式与体内测量的相匹配。特别是,我们在SNr中看到了近反相主动预测和非主动预测神经群体的自发出现,这些神经群体在基于实验记录的STN输入的情况下持续存在。这些结果表明,尽管震源位置的振荡同步性不完美,但德尔塔振荡如何通过BG核传播,缩小了PD模型中德尔塔振荡源的潜在目标,并对SNr振荡的动力学提供了新的见解。
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引用次数: 0
Correction to: Probabilistic solvers enable a straight-forward exploration of numerical uncertainty in neuroscience models. 更正:概率求解器能够直接探索神经科学模型中的数值不确定性。
IF 1.2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2022-08-01 DOI: 10.1007/s10827-023-00856-w
Jonathan Oesterle, Nicholas Krämer, Philipp Hennig, Philipp Berens
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引用次数: 1
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Journal of Computational Neuroscience
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