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Early reduced dopaminergic tone mediated by D3 receptor and dopamine transporter in absence epileptogenesis 失神性癫痫发生过程中由 D3 受体和多巴胺转运体介导的早期多巴胺能张力降低
Pub Date : 2024-09-18 DOI: arxiv-2409.11758
Fanny CavarecGIN, CHUGA, Philipp KraussGIN, CHUGA, Tiffany WitkowskiGIN, CHUGA, Alexis BroisatGIN, CHUGA, Catherine GhezziGIN, CHUGA, Stéphanie de GoisGIN, CHUGA, Bruno GirosGIN, CHUGA, Antoine DepaulisGIN, CHUGA, Colin DeransartGIN, CHUGA
Abstract Objective In Genetic Absence Epilepsy Rats From Strasbourg ( GAERSs), epileptogenesis takes place during brain maturation and correlates withincreased mRNA expression of D3 dopamine receptors (D3R). Whether thesealterations are the consequence of seizure repetition or contribute to thedevelopment of epilepsy remains to be clarified. Here, we addressed theinvolvement of the dopaminergic system in epilepsy onset in GAERS s. MethodsExperiments were performed using rats at different stages of brain maturationfrom three strains according to their increasing propensity to develop absenceseizures: nonepileptic control rats ( NEC s), Wistar Hannover rats, and GAERSs. Changes in dopaminergic neurotransmission were investigated using differentbehavioral and neurochemical approaches: autoradiography of D3R and dopaminetransporter, single photon emission computed tomographic imaging, acute andchronic drug effects on seizure recordings (dopaminergic agonists andantagonists), quinpirole-induced yawns and dopamine synaptosomal uptake,microdialysis, brain tissue monoamines, and brain-derived neurotrophic factorquantification. Results Autoradiography revealed an increased expression of D3Rin 14-day-old GAERS s, before absence seizure onset, that persists inadulthood, as compared to age-matched NEC s. This was confirmed by increasedyawns, a marker of D3R activity, and increased seizures when animals wereinjected with quinpirole at low doses to activate D3R. We also observed aconcomitant increase in the expression and activity of the dopamine transporterin GAERS s before seizure onset, consistent with both lowered dopamine basallevel and increased phasic responses. Significance Our data show that thedopaminergic system is persistently altered in GAERS s, which may contributenot only to behavioral comorbidities but also as an etiopathogenic factor inthe development of epilepsy. The data suggest that an imbalanced dopaminergictone may contribute to absence epilepsy development and seizure onset, as itsreversion by a chronic treatment with a dopamine stabilizer significantlysuppressed epileptogenesis. Our data suggest a potential new target forantiepileptic therapies and/or improvement of quality of life of epilepticpatients.
摘要 目的 在斯特拉斯堡遗传性失神癫痫大鼠(GAERSs)中,癫痫的发生发生在大脑成熟过程中,并与D3多巴胺受体(D3R)mRNA表达的增加有关。这些变化是癫痫反复发作的结果,还是导致癫痫发展的原因,仍有待澄清。方法根据三个品系大鼠脑成熟的不同阶段,按照它们发生缺失性癫痫发作的倾向性递增的程度,使用这三个品系的大鼠进行了实验:非癫痫对照组大鼠(NECs)、Wistar Hannover大鼠和GAERSs。采用不同的行为和神经化学方法研究了多巴胺能神经传递的变化:D3R和多巴胺转运体的自显影、单光子发射计算机断层扫描成像、急性和慢性药物对癫痫发作记录的影响(多巴胺能激动剂和拮抗剂)、喹吡罗诱导的打哈欠和多巴胺突触体摄取、微透析、脑组织单胺和脑源性神经营养因子定量。结果 自显影显示,与年龄匹配的 NECs 相比,14 天大的 GAERSs 在失神发作开始前的 D3R 表达增加,并持续到成年。我们还观察到,在癫痫发作开始前,多巴胺转运体在 GAERS 中的表达和活性同时增加,这与多巴胺基础水平降低和阶段性反应增加一致。意义 我们的数据表明,GAERSs 的多巴胺能系统持续发生改变,这不仅可能导致行为上的合并症,也可能是癫痫发病的一个致病因素。数据表明,失衡的多巴胺酮可能会导致失神性癫痫的发生和发作,因为长期使用多巴胺稳定剂可以显著抑制癫痫的发生。我们的数据为抗癫痫疗法和/或改善癫痫患者的生活质量提供了一个潜在的新靶点。
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引用次数: 0
Identifying Influential nodes in Brain Networks via Self-Supervised Graph-Transformer 通过自监督图变换器识别大脑网络中的影响节点
Pub Date : 2024-09-17 DOI: arxiv-2409.11174
Yanqing Kang, Di Zhu, Haiyang Zhang, Enze Shi, Sigang Yu, Jinru Wu, Xuhui Wang, Xuan Liu, Geng Chen, Xi Jiang, Tuo Zhang, Shu Zhang
Studying influential nodes (I-nodes) in brain networks is of greatsignificance in the field of brain imaging. Most existing studies considerbrain connectivity hubs as I-nodes. However, this approach relies heavily onprior knowledge from graph theory, which may overlook the intrinsiccharacteristics of the brain network, especially when its architecture is notfully understood. In contrast, self-supervised deep learning can learnmeaningful representations directly from the data. This approach enables theexploration of I-nodes for brain networks, which is also lacking in currentstudies. This paper proposes a Self-Supervised Graph Reconstruction frameworkbased on Graph-Transformer (SSGR-GT) to identify I-nodes, which has three maincharacteristics. First, as a self-supervised model, SSGR-GT extracts theimportance of brain nodes to the reconstruction. Second, SSGR-GT usesGraph-Transformer, which is well-suited for extracting features from braingraphs, combining both local and global characteristics. Third, multimodalanalysis of I-nodes uses graph-based fusion technology, combining functionaland structural brain information. The I-nodes we obtained are distributed incritical areas such as the superior frontal lobe, lateral parietal lobe, andlateral occipital lobe, with a total of 56 identified across differentexperiments. These I-nodes are involved in more brain networks than otherregions, have longer fiber connections, and occupy more central positions instructural connectivity. They also exhibit strong connectivity and high nodeefficiency in both functional and structural networks. Furthermore, there is asignificant overlap between the I-nodes and both the structural and functionalrich-club. These findings enhance our understanding of the I-nodes within thebrain network, and provide new insights for future research in furtherunderstanding the brain working mechanisms.
研究大脑网络中的影响节点(I 节点)在大脑成像领域具有重要意义。现有研究大多将大脑连接枢纽视为 I 节点。然而,这种方法在很大程度上依赖于图论的先验知识,可能会忽略大脑网络的内在特征,尤其是在对其架构不甚了解的情况下。相比之下,自监督深度学习可以直接从数据中学习有意义的表征。这种方法可以探索大脑网络的 I 节点,这也是当前研究中所缺乏的。本文提出了一种基于图变换器(Graph-Transformer,SSGR-GT)的自监督图重构框架(Self-Supervised Graph Reconstruction frameworkbased on Graph-Transformer,SSGR-GT)来识别 I 节点,它有三个主要特点。首先,作为一个自监督模型,SSGR-GT 提取了大脑节点对重建的重要性。其次,SSGR-GT 使用了图变换器(Graph-Transformer),它非常适合从钎图中提取特征,同时结合了局部和全局特征。第三,I 节点的多模态分析使用了基于图的融合技术,将大脑功能和结构信息结合起来。我们获得的 I 节点分布在额叶上部、顶叶外侧和枕叶外侧等关键区域,在不同实验中共识别出 56 个。与其他区域相比,这些 I 节点参与了更多的大脑网络,具有更长的纤维连接,并占据了更多的中心位置,具有指示性连接。在功能网络和结构网络中,它们也表现出较强的连接性和较高的节点效率。此外,I 节点与结构网络和功能网络之间都有显著的重叠。这些发现加深了我们对脑网络中 I 节点的理解,为今后进一步了解大脑工作机制的研究提供了新的视角。
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引用次数: 0
Contrastive Learning in Memristor-based Neuromorphic Systems 基于 Memristor 的神经形态系统中的对比学习
Pub Date : 2024-09-17 DOI: arxiv-2409.10887
Cory Merkel, Alexander Ororbia
Spiking neural networks, the third generation of artificial neural networks,have become an important family of neuron-based models that sidestep many ofthe key limitations facing modern-day backpropagation-trained deep networks,including their high energy inefficiency and long-criticized biologicalimplausibility. In this work, we design and investigate a proof-of-conceptinstantiation of contrastive-signal-dependent plasticity (CSDP), a neuromorphicform of forward-forward-based, backpropagation-free learning. Our experimentalsimulations demonstrate that a hardware implementation of CSDP is capable oflearning simple logic functions without the need to resort to complex gradientcalculations.
尖峰神经网络是第三代人工神经网络,已成为基于神经元的重要模型系列,它避开了现代反向传播训练的深度网络所面临的许多关键限制,包括其高能量低效率和长期受到批评的生物学不可能性。在这项工作中,我们设计并研究了对比信号依赖可塑性(CSDP)的概念验证,这是一种基于前向、无反向传播学习的神经形态。我们的实验模拟证明,CSDP 的硬件实现能够学习简单的逻辑函数,而无需进行复杂的梯度计算。
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引用次数: 0
Contrasformer: A Brain Network Contrastive Transformer for Neurodegenerative Condition Identification 对比变换器用于神经退行性疾病识别的脑网络对比变换器
Pub Date : 2024-09-17 DOI: arxiv-2409.10944
Jiaxing Xu, Kai He, Mengcheng Lan, Qingtian Bian, Wei Li, Tieying Li, Yiping Ke, Miao Qiao
Understanding neurological disorder is a fundamental problem in neuroscience,which often requires the analysis of brain networks derived from functionalmagnetic resonance imaging (fMRI) data. Despite the prevalence of Graph NeuralNetworks (GNNs) and Graph Transformers in various domains, applying them tobrain networks faces challenges. Specifically, the datasets are severelyimpacted by the noises caused by distribution shifts across sub-populations andthe neglect of node identities, both obstruct the identification ofdisease-specific patterns. To tackle these challenges, we proposeContrasformer, a novel contrastive brain network Transformer. It generates aprior-knowledge-enhanced contrast graph to address the distribution shiftsacross sub-populations by a two-stream attention mechanism. A cross attentionwith identity embedding highlights the identity of nodes, and three auxiliarylosses ensure group consistency. Evaluated on 4 functional brain networkdatasets over 4 different diseases, Contrasformer outperforms thestate-of-the-art methods for brain networks by achieving up to 10.8%improvement in accuracy, which demonstrates its efficacy in neurologicaldisorder identification. Case studies illustrate its interpretability,especially in the context of neuroscience. This paper provides a solution foranalyzing brain networks, offering valuable insights into neurologicaldisorders. Our code is available aturl{https://github.com/AngusMonroe/Contrasformer}.
理解神经系统疾病是神经科学领域的一个基本问题,通常需要分析从功能磁共振成像(fMRI)数据中得出的脑网络。尽管图神经网络(GNN)和图变换器在各个领域都很普遍,但将它们应用于脑部网络却面临着挑战。具体来说,数据集受到子群间分布偏移和忽略节点身份所造成的噪声的严重影响,这两者都阻碍了疾病特异性模式的识别。为了应对这些挑战,我们提出了一种新型对比脑网络转换器(Contrasformer)。它通过双流注意力机制生成事先知识增强的对比图,以解决跨亚群的分布变化问题。带有身份嵌入的交叉注意突出了节点的身份,三个辅助损失确保了群体的一致性。通过对4种不同疾病的4个大脑功能网络数据集进行评估,Contrasformer的准确率提高了10.8%,优于目前最先进的大脑网络方法,这证明了它在神经紊乱识别方面的功效。案例研究说明了它的可解释性,尤其是在神经科学领域。本文为分析大脑网络提供了一种解决方案,为神经紊乱提供了有价值的见解。我们的代码可在(url{https://github.com/AngusMonroe/Contrasformer}.
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引用次数: 0
Orienting gaze toward a visual target: Neurophysiological synthesis with epistemological considerations 将目光投向视觉目标:神经生理学综合与认识论思考
Pub Date : 2024-09-16 DOI: arxiv-2409.10189
Laurent GoffartCGGG
The appearance of an object triggers an orienting gaze movement toward itslocation. The movement consists of a rapid rotation of the eyes, the saccade,which is accompanied by a head rotation if the target eccentricity exceeds theoculomotor range, by a slow eye movement if it moves. Completing a previousreport, we explain the numerous points that lead to questioning the validity ofa one-to-one correspondence relation between measured physical values of gazeor head orientation and neuronal activity. Conflating kinematic (or dynamic)numerical values with neurophysiological recordings carries the risk ofbelieving that central neuron activity directly encodes gaze or headorientation rather than mediating changes in extraocular and neck musclecontraction. Rather than reducing mismatches between extrinsic physicalparameters (such as position or velocity errors), eye and head movements arebehavioral expressions of intrinsic processes that restore a poly-equilibrium,i.e., balances of activities opposing antagonistic visuomotor channels. Pastresults obtained in the cat and monkey left a treasure allowing a synthesis,which illustrates the tremendous complexity underlying the changes in theorientations of the eyes and head. Its aim is to serve as a guide for furtherinvestigations in marmosets or for comparison with other species.
物体的出现会引发对其位置的定向注视运动。这种运动包括眼球的快速转动,即囊状移动,如果目标的偏心率超过眼球运动的范围,则伴随着头部的转动,如果目标移动,则伴随着眼球的缓慢移动。作为对之前报告的补充,我们解释了导致人们质疑凝视或头部方向的物理测量值与神经元活动之间一一对应关系有效性的诸多问题。将运动学(或动态)数值与神经生理学记录混为一谈,有可能让人误以为中枢神经元活动直接编码凝视或头部定向,而不是介导眼外肌和颈部肌肉收缩的变化。眼动和头动不是减少外在物理参数之间的不匹配(如位置或速度误差),而是内在过程的行为表现,它恢复了多平衡,即对立视觉运动通道活动的平衡。过去在猫和猴子身上获得的结果为我们提供了一个综合的宝库,它说明了眼睛和头部方向变化背后的巨大复杂性。其目的是为进一步研究狨猴或与其他物种进行比较提供指导。
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引用次数: 0
Hippocampal synchronization in a realistic CA1 neuron model 在逼真的 CA1 神经元模型中实现海马同步
Pub Date : 2024-09-16 DOI: arxiv-2409.10431
Alessandro Fiasconaro, Michele Migliore
This work delves into studying the synchronization in two realistic neuronmodels using Hodgkin-Huxley dynamics. Unlike simplistic point-like models,excitatory synapses are here randomly distributed along the dendrites,introducing strong stochastic contributions into their signal propagation. Tofocus on the role of different excitatory positions, we use two copies of thesame neuron whose synapses are located at different distances from the soma andare exposed to identical Poissonian distributed current pulses. Thesynchronization is investigated through a specifically defined spikingcorrelation function, and its behavior is analyzed as a function of severalparameters: inhibition weight, distance from the soma of one synaptic group,excitatory inactivation delay, and weight of the excitatory synapses.
这项研究利用霍奇金-赫胥黎动力学深入研究了两个现实神经元模型中的同步问题。与简单的点状模型不同,这里的兴奋性突触沿树突随机分布,在信号传播中引入了强烈的随机贡献。为了重点研究不同兴奋位置的作用,我们使用了同一神经元的两个拷贝,它们的突触与体部的距离不同,并暴露在相同的泊松分布电流脉冲下。我们通过一个特别定义的尖峰相关函数来研究这种同步性,并将其行为作为几个参数的函数进行分析:抑制权重、一个突触组距神经元体的距离、兴奋失活延迟和兴奋突触权重。
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引用次数: 0
Effects of synapse location, delay and background stochastic activity on synchronising hippocampal CA1 neurons 突触位置、延迟和背景随机活动对海马 CA1 神经元同步化的影响
Pub Date : 2024-09-16 DOI: arxiv-2409.10460
Alessandro Fiasconaro, Michele Migliore
We study the synchronisation of neurons in a realistic model under theHodgkin-Huxley dynamics. To focus on the role of the different locations of theexcitatory synapses, we use two identical neurons where the set of inputsignals is grouped at two different distances from the soma. The system isintended to represent a CA1 hippocampal neuron in which the synapses arrivingfrom the CA3 neurons of the trisynaptic pathway appear to be localised in theapical dendritic region and are, in principle, either proximal or distal to thesoma. Synchronisation is studied using a specifically defined spikingcorrelation function as a function of various parameters such as the distancefrom the soma of one of the synaptic groups, the inhibition weight and theassociated activation delay. We found that the neurons' spiking activitydepends nonmonotonically on the relative dendritic location of the synapses andtheir inhibitory weight, whereas the synchronisation measure always decreaseswith inhibition, and strongly depends on its activation time delay. Thebackground activity on the somas results essentially independent on thefluctuation intensity and strongly support the importance of the balancebetween inhibition and excitation for neuronal synchronization.
我们研究了在霍奇金-赫胥黎动力学条件下神经元同步的现实模型。为了重点研究兴奋性突触的不同位置所起的作用,我们使用了两个相同的神经元,在这两个神经元中,一组输入信号被组合在离神经元体的两个不同距离上。该系统意在代表一个 CA1 海马神经元,在该神经元中,从三突触通路的 CA3 神经元到达的突触似乎被定位在锥状树突区域,原则上,这些突触要么靠近瘤体,要么远离瘤体。我们使用一个特定定义的尖峰相关函数来研究同步性,该函数是各种参数的函数,如与其中一个突触群的基底的距离、抑制权重和相关激活延迟。我们发现,神经元的尖峰活动非单调地依赖于突触的相对树突位置及其抑制权重,而同步度量总是随着抑制而降低,并强烈依赖于其激活时间延迟。体部的背景活动基本上不受波动强度的影响,这有力地证明了抑制和兴奋之间的平衡对神经元同步的重要性。
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引用次数: 0
Self-Attention Limits Working Memory Capacity of Transformer-Based Models 自我关注限制了变压器模型的工作记忆能力
Pub Date : 2024-09-16 DOI: arxiv-2409.10715
Dongyu Gong, Hantao Zhang
Recent work on Transformer-based large language models (LLMs) has revealedstriking limits in their working memory capacity, similar to what has beenfound in human behavioral studies. Specifically, these models' performancedrops significantly on N-back tasks as N increases. However, there is still alack of mechanistic interpretability as to why this phenomenon would arise.Inspired by the executive attention theory from behavioral sciences, wehypothesize that the self-attention mechanism within Transformer-based modelsmight be responsible for their working memory capacity limits. To test thishypothesis, we train vanilla decoder-only transformers to perform N-back tasksand find that attention scores gradually aggregate to the N-back positions overtraining, suggesting that the model masters the task by learning a strategy topay attention to the relationship between the current position and the N-backposition. Critically, we find that the total entropy of the attention scorematrix increases as N increases, suggesting that the dispersion of attentionscores might be the cause of the capacity limit observed in N-back tasks.
最近对基于变换器的大型语言模型(LLMs)的研究发现,这些模型的工作记忆能力有惊人的极限,这与人类行为研究中发现的情况类似。具体来说,随着 N 的增加,这些模型在 N 回溯任务中的表现会明显下降。受行为科学中执行注意理论的启发,我们假设基于变形金刚的模型中的自我注意机制可能是造成其工作记忆容量限制的原因。为了验证这一假设,我们训练香草解码器转换器执行N-后退任务,结果发现注意力分数在训练过程中逐渐聚集到N-后退位置,这表明模型通过学习一种策略来掌握任务,即注意当前位置和N-后退位置之间的关系。重要的是,我们发现注意力分数矩阵的总熵随着N的增加而增加,这表明注意力分数的分散可能是在N-back任务中观察到的容量限制的原因。
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引用次数: 0
Fairness, not Emotion, Drives Socioeconomic Decision Making 驱动社会经济决策的是公平而非情感
Pub Date : 2024-09-16 DOI: arxiv-2409.10322
Rudra Mukhopadhyay, Sourin Chatterjee, Koel Das
Emotion and fairness play a key role in mediating socioeconomic decisions inhumans; however, the underlying neurocognitive mechanism remains largelyunknown. In this study, we explored the interplay between proposers' emotionsand fairness of offer magnitudes in rational decision-making. Employing atime-bound UG paradigm, 40 (male, age: 18-20) participants were exposed tothree distinct proposers' emotions (Happy, Neutral, and Disgusted) followed byone of the three offer ranges (Low, Intermediate, Maximum). Our findings show arobust influence of fairness of offer on acceptance rates, with the impact ofemotions obtained only within the low offer range. The increment of the offeramount resulted in shorter reaction times, while emotional stimuli resulted inprolonged reaction times. A multilevel generalized linear model showed offer asthe dominant predictor of trial-specific responses. Subsequent agglomerativeclustering grouped participants into five primary clusters based on responsesmodulated by emotions/offers. The Drift Diffusion Model based on the clusteringfurther corroborated our findings. Emotion-sensitive markers, including N170and LPP, demonstrated the participants' effect on facial expressions; however,facial emotions had minimal effect on subsequent socioeconomic decisions. Ourstudy suggests that, in general, participants gave more preference to thefairness of the offer with a slight effect of emotions in decision-making. Weshow that though emotion is perceived and has an effect on decision-makingtime, people mostly prioritise financial gain and fairness of offer. Moreover,it establishes a connection between reaction time and responses and furtherdives deep into individualistic decision-making processes revealing differentcognitive strategies.
情感和公平性在调解人类的社会经济决策中起着关键作用;然而,其背后的神经认知机制在很大程度上仍不为人所知。在本研究中,我们探讨了理性决策中提议者的情绪和提议幅度的公平性之间的相互作用。我们采用有时间限制的 UG 范式,让 40 名参与者(男性,年龄:18-20 岁)在三种不同的提议者情绪(快乐、中性和厌恶)以及三种提议范围(低、中、高)中的一种情绪下进行决策。我们的研究结果表明,提议的公平性对接受率的影响很大,只有在低提议范围内才会受到情绪的影响。报价金额的增加导致反应时间缩短,而情绪刺激则导致反应时间延长。多层次广义线性模型显示,提议是预测特定试验反应的主要因素。随后的聚类分析根据受情绪/提议影响的反应将参与者分为五个主要群组。基于聚类的漂移扩散模型进一步证实了我们的发现。包括 N170 和 LPP 在内的情绪敏感标记显示了参与者对面部表情的影响;然而,面部情绪对后续社会经济决策的影响微乎其微。我们的研究表明,总体而言,参与者更倾向于考虑报价的公平性,情绪对决策的影响微乎其微。这表明,虽然情绪会被感知并对决策时间产生影响,但人们大多会优先考虑经济收益和报价的公平性。此外,该研究还建立了反应时间与反应之间的联系,并进一步深入研究了个体化决策过程,揭示了不同的认知策略。
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引用次数: 0
Towards a Quantitative Theory of Digraph-Based Complexes and its Applications in Brain Network Analysis 基于数图的复合体定量理论及其在脑网络分析中的应用
Pub Date : 2024-09-15 DOI: arxiv-2409.09862
Heitor Baldo
In this work, we developed new mathematical methods for analyzing networktopology and applied these methods to the analysis of brain networks. Morespecifically, we rigorously developed quantitative methods based on complexesconstructed from digraphs (digraph-based complexes), such as path complexes anddirected clique complexes (alternatively, we refer to these complexes as"higher-order structures," or "higher-order topologies," or "simplicialstructures"), and, in the case of directed clique complexes, also methods basedon the interrelations between the directed cliques, what we called "directedhigher-order connectivities." This new quantitative theory for digraph-basedcomplexes can be seen as a step towards the formalization of a "quantitativesimplicial theory." Subsequently, we used these new methods, such ascharacterization measures and similarity measures for digraph-based complexes,to analyze the topology of digraphs derived from brain connectivity estimators,specifically the estimator known as information partial directed coherence(iPDC), which is a multivariate estimator that can be considered arepresentation of Granger causality in the frequency-domain, particularlyestimated from electroencephalography (EEG) data from patients diagnosed withleft temporal lobe epilepsy, in the delta, theta and alpha frequency bands, totry to find new biomarkers based on the higher-order structures andconnectivities of these digraphs. In particular, we attempted to answer thefollowing questions: How does the higher-order topology of the brain networkchange from the pre-ictal to the ictal phase, from the ictal to the post-ictalphase, at each frequency band and in each cerebral hemisphere? Does theanalysis of higher-order structures provide new and better biomarkers forseizure dynamics and also for the laterality of the seizure focus than theusual graph theoretical analyses?
在这项工作中,我们开发了分析网络拓扑的新数学方法,并将这些方法应用于大脑网络分析。更具体地说,我们严格开发了基于由数字图构建的复合体(基于数字图的复合体)的定量方法,如路径复合体和有向簇复合体(我们也将这些复合体称为 "高阶结构 "或 "高阶拓扑 "或 "简单结构"),对于有向簇复合体,我们还开发了基于有向簇之间相互关系的方法,我们称之为 "有向高阶连接性"。这一新的基于数图的复合体定量理论可以看作是向 "定量简约理论 "正规化迈出的一步。随后,我们利用这些新方法,如基于数图的复合体的特征量度和相似性量度,分析了从大脑连通性估计器(特别是被称为信息部分有向一致性(iPDC)的估计器)中得出的数图拓扑结构、iPDC是一种多变量估计器,可视为格兰杰因果关系在频域的呈现,特别是从诊断为左颞叶癫痫患者的脑电图(EEG)数据中估计出的δ、θ和α频段的数据,试图根据这些数图的高阶结构和连接性找到新的生物标记物。我们尤其试图回答以下问题:从发作前到发作期,从发作期到发作后,在每个频段和每个大脑半球,大脑网络的高阶拓扑结构是如何变化的?与通常的图论分析相比,对高阶结构的分析是否能为癫痫动态以及癫痫灶的侧向性提供新的、更好的生物标记?
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引用次数: 0
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arXiv - QuanBio - Neurons and Cognition
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