首页 > 最新文献

Frontiers in Computational Neuroscience最新文献

英文 中文
Computational modeling of resistance to hormone-mediated remission in childhood absence epilepsy. 儿童癫痫缺乏症激素介导缓解抵抗的计算模型。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-12 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1733650
Maliha Ahmed, Sue Ann Campbell

Childhood absence epilepsy (CAE) often resolves during adolescence, a period marked by hormonal and neurosteroid changes associated with puberty. However, remission does not occur in all individuals. To investigate this clinical heterogeneity, we developed a simplified thalamocortical model with a layered cortical structure, using deep-layer intrinsically bursting (IB) neurons to represent frontal cortex and regular spiking (RS) neurons modeling the parietal cortex. By simulating two cortical configurations, we explored how variations in neuronal composition and frontocortical connectivity influence seizure dynamics and the effectiveness of allopregnanolone (ALLO) in resolving pathological spike-wave discharges (SWDs) associated with CAE. While both models exhibited similar physiological and pathological oscillations, only the parietal-dominant network (with a higher proportion of RS neurons in layer 5) recovered from SWDs under increased frontocortical connectivity following ALLO administration. These findings suggest that neuronal composition critically modulates ALLO-mediated resolution of SWDs, providing a mechanistic link between structural connectivity and clinical outcomes in CAE, and highlighting the potential for personalized treatment strategies based on underlying network architecture.

儿童期缺失性癫痫(CAE)通常在青春期消退,这一时期的特征是与青春期相关的激素和神经类固醇的变化。然而,并不是所有的个体都能得到缓解。为了研究这种临床异质性,我们开发了一个具有分层皮质结构的简化丘脑皮质模型,使用深层内爆(IB)神经元代表额叶皮质,规则尖峰(RS)神经元模拟顶叶皮质。通过模拟两种皮质结构,我们探讨了神经元组成和额皮质连通性的变化如何影响癫痫发作动力学以及异孕酮(ALLO)在解决CAE相关病理性尖峰波放电(SWDs)方面的有效性。虽然两种模型都表现出相似的生理和病理振荡,但在ALLO给药后,在额皮质连通性增加的情况下,SWDs中只有顶叶优势网络(第5层RS神经元比例更高)恢复。这些发现表明,神经元组成对allo介导的SWDs的消退起着关键的调节作用,在CAE的结构连接和临床结果之间提供了一种机制联系,并强调了基于潜在网络结构的个性化治疗策略的潜力。
{"title":"Computational modeling of resistance to hormone-mediated remission in childhood absence epilepsy.","authors":"Maliha Ahmed, Sue Ann Campbell","doi":"10.3389/fncom.2025.1733650","DOIUrl":"10.3389/fncom.2025.1733650","url":null,"abstract":"<p><p>Childhood absence epilepsy (CAE) often resolves during adolescence, a period marked by hormonal and neurosteroid changes associated with puberty. However, remission does not occur in all individuals. To investigate this clinical heterogeneity, we developed a simplified thalamocortical model with a layered cortical structure, using deep-layer intrinsically bursting (IB) neurons to represent frontal cortex and regular spiking (RS) neurons modeling the parietal cortex. By simulating two cortical configurations, we explored how variations in neuronal composition and frontocortical connectivity influence seizure dynamics and the effectiveness of allopregnanolone (ALLO) in resolving pathological spike-wave discharges (SWDs) associated with CAE. While both models exhibited similar physiological and pathological oscillations, only the parietal-dominant network (with a higher proportion of RS neurons in layer 5) recovered from SWDs under increased frontocortical connectivity following ALLO administration. These findings suggest that neuronal composition critically modulates ALLO-mediated resolution of SWDs, providing a mechanistic link between structural connectivity and clinical outcomes in CAE, and highlighting the potential for personalized treatment strategies based on underlying network architecture.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1733650"},"PeriodicalIF":2.3,"publicationDate":"2026-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12833357/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146061069","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The impact of dynamic reversal potential on the evolution of action potential attributes during spike trains. 动态反转电位对动作电位属性演化的影响。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-09 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1740570
Ahmed A Aldohbeyb, Jozsef Vigh, Kevin L Lear

Action potentials (AP) are the basic elements of information processing in the nervous system. Understanding AP generation mechanisms is a critical step to understand how neurons encode information. However, an individual neuron might fire APs with various shapes even in response to the same stimulus, and the mechanisms responsible for this variability remain unclear. Therefore, we analyzed four AP attributes including AP rapidity and threshold during consecutive bursts from three neuron types using intracellular electrophysiological recordings. In response to consecutive current steps, the AP attributes in evoked spike trains show two distinctive patterns across different neurons: (1) The first APs from each train always have comparable properties regardless of the stimulus strength; (2) The attributes of the subsequent APs during each pulse monotonically change during the burst, where the magnitude of AP attribute change during each pulse increases with increasing stimulation strength. Various conductance-based models were explored to determine if they replicated the observed AP bursts. The observed patterns could not be replicated using the classical HH-type models, or modified HH model with cooperative Na+ gating. However, adding ion concentration dynamics to the model reproduced the AP attribute variation, and the magnitude of change during a pulse correlated with change in dynamic reversal potential (DRP), but failed to replicate the first AP attributes pattern. Then, the role of cooperative Na+ gating on neuronal firing dynamics was investigated. Inclusion of cooperative gating restored the first APs' attributes and enhanced the magnitude of modeled variation of some AP attributes to better agree with observed data. We conclude that changes in local ion concentrations could be responsible for the monotonic change in APs attributes during neuronal bursts, and cooperative gating of Na+ channels can enhance the effect. Thus, the two mechanisms could contribute to the observed variability in neuronal response.

动作电位(AP)是神经系统信息处理的基本要素。理解AP的产生机制是理解神经元如何编码信息的关键一步。然而,单个神经元可能会对相同的刺激产生不同形状的ap,而导致这种变化的机制尚不清楚。因此,我们使用细胞内电生理记录分析了四种AP属性,包括三种神经元类型连续爆发期间的AP速度和阈值。在连续电流刺激下,不同神经元的诱发脉冲序列的AP属性表现出两种不同的模式:(1)无论刺激强度如何,每个脉冲序列的第一个AP属性总是具有可比性;(2)各脉冲后续AP属性在脉冲爆发过程中呈单调变化,且各脉冲AP属性变化幅度随刺激强度的增加而增大。研究人员探索了各种基于电导的模型,以确定它们是否复制了观测到的AP爆发。使用经典HH型模型或采用Na+协同门控的改进HH模型均无法复制所观察到的模式。然而,在模型中加入离子浓度动力学可以再现AP属性的变化,并且脉冲期间的变化幅度与动态逆转电位(DRP)的变化相关,但无法复制第一种AP属性模式。然后,研究了协同钠离子门控在神经元放电动力学中的作用。合作门控的加入恢复了第一批AP的属性,并增强了部分AP属性的模型变化幅度,使其与观测数据更加吻合。我们得出结论,局部离子浓度的变化可能是神经元爆发时ap属性单调变化的原因,而Na+通道的协同门控可以增强这种影响。因此,这两种机制可能有助于观察到神经元反应的变异性。
{"title":"The impact of dynamic reversal potential on the evolution of action potential attributes during spike trains.","authors":"Ahmed A Aldohbeyb, Jozsef Vigh, Kevin L Lear","doi":"10.3389/fncom.2025.1740570","DOIUrl":"10.3389/fncom.2025.1740570","url":null,"abstract":"<p><p>Action potentials (AP) are the basic elements of information processing in the nervous system. Understanding AP generation mechanisms is a critical step to understand how neurons encode information. However, an individual neuron might fire APs with various shapes even in response to the same stimulus, and the mechanisms responsible for this variability remain unclear. Therefore, we analyzed four AP attributes including AP rapidity and threshold during consecutive bursts from three neuron types using intracellular electrophysiological recordings. In response to consecutive current steps, the AP attributes in evoked spike trains show two distinctive patterns across different neurons: (1) The first APs from each train always have comparable properties regardless of the stimulus strength; (2) The attributes of the subsequent APs during each pulse monotonically change during the burst, where the magnitude of AP attribute change during each pulse increases with increasing stimulation strength. Various conductance-based models were explored to determine if they replicated the observed AP bursts. The observed patterns could not be replicated using the classical HH-type models, or modified HH model with cooperative Na<sup>+</sup> gating. However, adding ion concentration dynamics to the model reproduced the AP attribute variation, and the magnitude of change during a pulse correlated with change in dynamic reversal potential (DRP), but failed to replicate the first AP attributes pattern. Then, the role of cooperative Na<sup>+</sup> gating on neuronal firing dynamics was investigated. Inclusion of cooperative gating restored the first APs' attributes and enhanced the magnitude of modeled variation of some AP attributes to better agree with observed data. We conclude that changes in local ion concentrations could be responsible for the monotonic change in APs attributes during neuronal bursts, and cooperative gating of Na<sup>+</sup> channels can enhance the effect. Thus, the two mechanisms could contribute to the observed variability in neuronal response.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1740570"},"PeriodicalIF":2.3,"publicationDate":"2026-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12827510/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146046341","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bridging neuromorphic computing and deep learning for next-generation neural data interpretation. 桥接神经形态计算和深度学习的下一代神经数据解释。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-01-08 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1737839
Manyun Zhang, Tianlei Wang, Zhiyuan Zhu
{"title":"Bridging neuromorphic computing and deep learning for next-generation neural data interpretation.","authors":"Manyun Zhang, Tianlei Wang, Zhiyuan Zhu","doi":"10.3389/fncom.2025.1737839","DOIUrl":"10.3389/fncom.2025.1737839","url":null,"abstract":"","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1737839"},"PeriodicalIF":2.3,"publicationDate":"2026-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12823815/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146051169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transferable CNN-based data mining approaches for medical imaging: application to spine DXA scans for osteoporosis detection. 可转移的基于cnn的医学成像数据挖掘方法:应用于骨质疏松症检测的脊柱DXA扫描。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-30 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1712896
Awad Bin Naeem, Onur Osman, Shtwai Alsubai, Nazife Çevik, Abdelhamid Taieb Zaidi, Amir Seyyedabbasi, Jawad Rasheed

Introduction: Osteoporosis is the leading cause of sudden bone fractures. This is a silent and deadly disease that can affect any part of the body, such as the spine, hips, and knee bones.

Aim: To measure bone mineral density, dual-energy X-ray absorptiometry (DXA) scans help radiologists and other medical professionals identify early signs of osteoporosis in the spine.

Methods: A proposed 21-layer convolutional neural network (CNN) model is implemented and validated to automatically detect osteoporosis in spine DXA images. The dataset contains 174 spine DXA images, including 114 affected by osteoporosis and the rest normal or non-fractured. To improve training, the dataset is expanded using various data augmentation techniques.

Results: The classification performance of the proposed model is compared with that of four popular pre-trained models: ResNet-50, Visual Geometry Group 16 (VGG-16), VGG-19, and InceptionV3. With an F1-score of 97.16%, recall of 95.41%, classification accuracy of 97.14%, and precision of 99.04%, the proposed model consistently outperforms competing approaches.

Conclusion: The proposed paradigm would therefore be very valuable to radiologists and other medical professionals. The proposed approach's capacity to detect, monitor, and diagnose osteoporosis may reduce the risk of developing the condition.

骨质疏松症是导致突发性骨折的主要原因。这是一种无声的致命疾病,可以影响身体的任何部位,如脊柱、臀部和膝关节。目的:双能x线吸收仪(DXA)扫描测量骨矿物质密度,帮助放射科医生和其他医学专业人员识别脊柱骨质疏松症的早期迹象。方法:采用21层卷积神经网络(CNN)模型实现并验证脊柱DXA图像骨质疏松的自动检测。该数据集包含174个脊柱DXA图像,其中114个受骨质疏松症影响,其余正常或未骨折。为了改进训练,使用各种数据增强技术扩展数据集。结果:将该模型的分类性能与四种流行的预训练模型ResNet-50、Visual Geometry Group 16 (VGG-16)、VGG-19和InceptionV3进行了比较。该模型的f1得分为97.16%,召回率为95.41%,分类准确率为97.14%,精度为99.04%,始终优于竞争方法。结论:所提出的范例对放射科医生和其他医学专业人员非常有价值。提出的方法的能力,检测,监测和诊断骨质疏松症可能会降低发展的风险条件。
{"title":"Transferable CNN-based data mining approaches for medical imaging: application to spine DXA scans for osteoporosis detection.","authors":"Awad Bin Naeem, Onur Osman, Shtwai Alsubai, Nazife Çevik, Abdelhamid Taieb Zaidi, Amir Seyyedabbasi, Jawad Rasheed","doi":"10.3389/fncom.2025.1712896","DOIUrl":"10.3389/fncom.2025.1712896","url":null,"abstract":"<p><strong>Introduction: </strong>Osteoporosis is the leading cause of sudden bone fractures. This is a silent and deadly disease that can affect any part of the body, such as the spine, hips, and knee bones.</p><p><strong>Aim: </strong>To measure bone mineral density, dual-energy X-ray absorptiometry (DXA) scans help radiologists and other medical professionals identify early signs of osteoporosis in the spine.</p><p><strong>Methods: </strong>A proposed 21-layer convolutional neural network (CNN) model is implemented and validated to automatically detect osteoporosis in spine DXA images. The dataset contains 174 spine DXA images, including 114 affected by osteoporosis and the rest normal or non-fractured. To improve training, the dataset is expanded using various data augmentation techniques.</p><p><strong>Results: </strong>The classification performance of the proposed model is compared with that of four popular pre-trained models: ResNet-50, Visual Geometry Group 16 (VGG-16), VGG-19, and InceptionV3. With an F1-score of 97.16%, recall of 95.41%, classification accuracy of 97.14%, and precision of 99.04%, the proposed model consistently outperforms competing approaches.</p><p><strong>Conclusion: </strong>The proposed paradigm would therefore be very valuable to radiologists and other medical professionals. The proposed approach's capacity to detect, monitor, and diagnose osteoporosis may reduce the risk of developing the condition.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1712896"},"PeriodicalIF":2.3,"publicationDate":"2025-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12797949/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145970555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fractal memory structure in the spatiotemporal learning rule. 时空学习规则中的分形记忆结构。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-16 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1641519
Takemori Orima, Ichiro Tsuda, Minoru Tsukada, Hiromichi Tsukada, Yoshihiko Horio

The spatiotemporal learning rule (STLR) can reproduce synaptic plasticity in the hippocampus. Analysis of the synaptic weights in the network with the STLR is challenging. Consequently, our previous research only focused on the network's outputs. However, a detailed analysis of the STLR requires focusing on the synaptic weights themselves. To address this issue, we mapped the synaptic weights to a distance space and analyzed the characteristics of the STLR. The results indicate that the synaptic weights form a fractal-like structure in Euclidean distance space. Furthermore, three analytical approaches-multi-dimensional scaling, estimating fractal dimension, and modeling with an iterated function system-demonstrate that the STLR forms a fractal structure in the synaptic weights through fractal coding. These findings contribute to clarifying the learning mechanisms in the hippocampus.

时空学习规则(spatial - temporal learning rule, STLR)可在海马体内复制突触可塑性。用STLR分析网络中的突触权值具有挑战性。因此,我们之前的研究只关注网络的输出。然而,对STLR的详细分析需要关注突触权重本身。为了解决这个问题,我们将突触权重映射到距离空间,并分析了STLR的特征。结果表明,突触权值在欧几里得距离空间中形成一个分形结构。此外,通过多维标度、分形维数估计和迭代函数系统建模三种分析方法表明,通过分形编码,STLR在突触权值上形成了分形结构。这些发现有助于阐明海马体的学习机制。
{"title":"Fractal memory structure in the spatiotemporal learning rule.","authors":"Takemori Orima, Ichiro Tsuda, Minoru Tsukada, Hiromichi Tsukada, Yoshihiko Horio","doi":"10.3389/fncom.2025.1641519","DOIUrl":"10.3389/fncom.2025.1641519","url":null,"abstract":"<p><p>The spatiotemporal learning rule (STLR) can reproduce synaptic plasticity in the hippocampus. Analysis of the synaptic weights in the network with the STLR is challenging. Consequently, our previous research only focused on the network's outputs. However, a detailed analysis of the STLR requires focusing on the synaptic weights themselves. To address this issue, we mapped the synaptic weights to a distance space and analyzed the characteristics of the STLR. The results indicate that the synaptic weights form a fractal-like structure in Euclidean distance space. Furthermore, three analytical approaches-multi-dimensional scaling, estimating fractal dimension, and modeling with an iterated function system-demonstrate that the STLR forms a fractal structure in the synaptic weights through fractal coding. These findings contribute to clarifying the learning mechanisms in the hippocampus.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1641519"},"PeriodicalIF":2.3,"publicationDate":"2025-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12748222/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145877866","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
State-dependent filtering as a mechanism toward visual robustness. 状态依赖过滤作为一种视觉鲁棒性机制。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-10 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1699179
Jing Yan, Yunxuan Feng, Wei P Dai, Yaoyu Zhang

Robustness, defined as a system's ability to maintain functional reliability in the face of perturbations, is achieved through its capacity to filter external disturbances using internal priors encoded in its structure and states. While biophysical neural networks are widely recognized for their robustness, the precise mechanisms underlying this resilience remain poorly understood. In this study, we explore how orientation-selective neurons arranged in a one-dimensional ring network respond to perturbations, with the aim of uncovering insights into the robustness of visual subsystems in the brain. By analyzing the steady-state dynamics of a rate-based network, we characterize how the activation state of neurons influences the network's response to disturbances. Our results demonstrate that the activation state of neurons, rather than their firing rates alone, governs the network's sensitivity to perturbations. We further show that lateral connectivity modulates this effect by shaping the response profile across spatial frequency components. These findings suggest a state-dependent filtering mechanism that contributes to the robustness of visual circuits, offering theoretical insight into how different components of perturbations are selectively modulated within the network.

鲁棒性,定义为系统在面对扰动时保持功能可靠性的能力,是通过其使用编码在其结构和状态中的内部先验来过滤外部干扰的能力来实现的。虽然生物物理神经网络因其稳健性而得到广泛认可,但这种弹性背后的确切机制仍然知之甚少。在这项研究中,我们探索了定向选择神经元如何排列在一维环形网络中对扰动做出反应,目的是揭示大脑中视觉子系统的鲁棒性。通过分析基于速率的网络的稳态动力学,我们描述了神经元的激活状态如何影响网络对干扰的响应。我们的结果表明,神经元的激活状态,而不是它们的放电率,决定了网络对扰动的敏感性。我们进一步表明,横向连接通过塑造跨空间频率分量的响应曲线来调节这种效应。这些发现表明了一种状态依赖的过滤机制,有助于视觉电路的鲁棒性,为如何在网络中选择性地调制扰动的不同组成部分提供了理论见解。
{"title":"State-dependent filtering as a mechanism toward visual robustness.","authors":"Jing Yan, Yunxuan Feng, Wei P Dai, Yaoyu Zhang","doi":"10.3389/fncom.2025.1699179","DOIUrl":"10.3389/fncom.2025.1699179","url":null,"abstract":"<p><p>Robustness, defined as a system's ability to maintain functional reliability in the face of perturbations, is achieved through its capacity to filter external disturbances using internal priors encoded in its structure and states. While biophysical neural networks are widely recognized for their robustness, the precise mechanisms underlying this resilience remain poorly understood. In this study, we explore how orientation-selective neurons arranged in a one-dimensional ring network respond to perturbations, with the aim of uncovering insights into the robustness of visual subsystems in the brain. By analyzing the steady-state dynamics of a rate-based network, we characterize how the activation state of neurons influences the network's response to disturbances. Our results demonstrate that the activation state of neurons, rather than their firing rates alone, governs the network's sensitivity to perturbations. We further show that lateral connectivity modulates this effect by shaping the response profile across spatial frequency components. These findings suggest a state-dependent filtering mechanism that contributes to the robustness of visual circuits, offering theoretical insight into how different components of perturbations are selectively modulated within the network.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1699179"},"PeriodicalIF":2.3,"publicationDate":"2025-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12728028/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145833550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Neurocognition, cerebellar functions and psychiatric features in spinocerebellar ataxia type 34: a case series. 脊髓小脑共济失调34型的神经认知、小脑功能和精神特征:一个病例系列。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-09 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1710961
Maurizio Cundari, Lena Kirchhoff, Susanna Vestberg, Danielle van Westen, Sigurd Dobloug, Karin Markenroth Bloch, Markus Nilsson, Linda Wennberg, Boel Hansson, Nikos Priovoulos, Anders Rasmussen, Sorina Gorcenco
<p><strong>Objective: </strong>This study primarily aimed to comprehensively characterize the neurological, neuroradiological and neurocognitive profiles, as well psychiatric features of individuals with Spinocerebellar Ataxia Type 34 (SCA34) associated with pathogenic variants in the <i>ELOVL4</i> gene. Secondarily, we investigated the relationship between neurocognitive functions and cerebellar morphology in individuals with SCA34 by correlating structural changes to cognitive performance. Given involvement of the cerebellum in SCA34, our findings will contribute to a broader understanding of the role of the cerebellum in cognition.</p><p><strong>Methods: </strong>Four individuals (52 f, 72 m, 76 m, 76 f) underwent DNA testing using Next-Generation Sequencing and detailed assessment of neurocognitive functions. The test battery evaluated all six cognitive domains: verbal functions, executive functions, attention and processing speed, learning and memory, visuospatial perception and abilities, and social cognition. In addition, cerebellar and motor functions were evaluated using Finger Tapping, Prism Adaptation, and the Motor Speed subtest of the Delis-Kaplan executive function system (D-KEFS). Test results were compared with each individual's estimated premorbid cognitive level, determined from their highest educational attainment or occupational status prior to disease onset. Psychiatric symptoms related to anxiety, depression, and sleep were reported using clinical scales. The Scale for the Assessment and Rating of Ataxia (SARA) was used to assess ataxia severity. Two individuals and one matched control underwent high-resolution 7T MRI to characterize cerebellar morphology.</p><p><strong>Results: </strong>Neurocognitive assessments identified cognitive and motor dysfunction across all individuals, including distinct neurocognitive impairments consistent with cerebellar cognitive-affective syndrome (CCAS), along with additional deficits in learning, visual and verbal episodic memory, emotion recognition-a component of social cognition. Anxiety and sleep disturbance, but not depression, were observed in both female participants. High-resolution 7 T MRI revealed structural cerebellar alterations, with moderate to severe bilateral cerebellar atrophy, including the vermis and multiple lobules (Crus II, VIIb, VIIIa, VIIIb, IX), as well as atrophy of the middle and superior cerebellar peduncles, accompanied by mild pontine atrophy. Genetic analyses confirmed the involvement of <i>ELOVL4</i>-related disruptions in long-chain fatty acid biosynthesis, offering insight into the molecular underpinnings of cerebellar degeneration in SCA34.</p><p><strong>Conclusion: </strong>Individuals with SCA34 show cerebellar degeneration accompanied by cognitive, motor, and social-affective impairments consistent with CCAS. Atrophy of the vermis, multiple lobules, and cerebellar peduncles align with these deficits, highlighting the cerebellum's key role in cognition.
目的:本研究主要旨在全面表征与ELOVL4基因致病变异相关的脊髓小脑性共济失调34型(SCA34)患者的神经学、神经放射学和神经认知特征以及精神特征。其次,我们通过将结构变化与认知表现相关联,研究了SCA34患者的神经认知功能与小脑形态之间的关系。考虑到小脑参与SCA34,我们的发现将有助于更广泛地理解小脑在认知中的作用。方法:采用新一代测序技术对4名个体(52英尺,72米,76米,76英尺)进行DNA检测,并详细评估神经认知功能。测试评估了所有六个认知领域:语言功能、执行功能、注意力和处理速度、学习和记忆、视觉空间感知和能力,以及社会认知。此外,采用手指敲击、棱镜适应和Delis-Kaplan执行功能系统(D-KEFS)的运动速度子测试对小脑和运动功能进行评估。测试结果比较了每个人发病前的估计认知水平,这是根据他们发病前的最高受教育程度或职业状况确定的。使用临床量表报告与焦虑、抑郁和睡眠相关的精神症状。使用共济失调评定量表(SARA)评定共济失调的严重程度。两名个体和一名匹配的对照组接受了高分辨率7T MRI来表征小脑形态。结果:神经认知评估确定了所有个体的认知和运动功能障碍,包括与小脑认知情感综合征(CCAS)一致的明显神经认知障碍,以及学习、视觉和言语情景记忆、情感识别(社会认知的一个组成部分)方面的额外缺陷。两名女性参与者都有焦虑和睡眠障碍,但没有抑郁。高分辨率7 T MRI显示小脑结构性改变,伴中重度双侧小脑萎缩,包括蚓部及多个小叶(II、VIIb、viia、VIIb、IX),小脑中上蒂萎缩,伴轻度脑桥萎缩。遗传分析证实,elovl4相关的破坏参与了长链脂肪酸生物合成,为SCA34小脑变性的分子基础提供了见解。结论:sc34患者表现为小脑变性,伴有认知、运动和社会情感障碍,与CCAS一致。蚓部、多小叶和小脑蒂的萎缩与这些缺陷一致,突出了小脑在认知中的关键作用。脂肪酸生物合成中elovl4相关的破坏提供了对SCA34分子基础的深入了解。总之,这些发现促进了我们对小脑病理如何导致遗传性共济失调中复杂的神经认知和精神症状的理解。
{"title":"Neurocognition, cerebellar functions and psychiatric features in spinocerebellar ataxia type 34: a case series.","authors":"Maurizio Cundari, Lena Kirchhoff, Susanna Vestberg, Danielle van Westen, Sigurd Dobloug, Karin Markenroth Bloch, Markus Nilsson, Linda Wennberg, Boel Hansson, Nikos Priovoulos, Anders Rasmussen, Sorina Gorcenco","doi":"10.3389/fncom.2025.1710961","DOIUrl":"10.3389/fncom.2025.1710961","url":null,"abstract":"&lt;p&gt;&lt;strong&gt;Objective: &lt;/strong&gt;This study primarily aimed to comprehensively characterize the neurological, neuroradiological and neurocognitive profiles, as well psychiatric features of individuals with Spinocerebellar Ataxia Type 34 (SCA34) associated with pathogenic variants in the &lt;i&gt;ELOVL4&lt;/i&gt; gene. Secondarily, we investigated the relationship between neurocognitive functions and cerebellar morphology in individuals with SCA34 by correlating structural changes to cognitive performance. Given involvement of the cerebellum in SCA34, our findings will contribute to a broader understanding of the role of the cerebellum in cognition.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Methods: &lt;/strong&gt;Four individuals (52 f, 72 m, 76 m, 76 f) underwent DNA testing using Next-Generation Sequencing and detailed assessment of neurocognitive functions. The test battery evaluated all six cognitive domains: verbal functions, executive functions, attention and processing speed, learning and memory, visuospatial perception and abilities, and social cognition. In addition, cerebellar and motor functions were evaluated using Finger Tapping, Prism Adaptation, and the Motor Speed subtest of the Delis-Kaplan executive function system (D-KEFS). Test results were compared with each individual's estimated premorbid cognitive level, determined from their highest educational attainment or occupational status prior to disease onset. Psychiatric symptoms related to anxiety, depression, and sleep were reported using clinical scales. The Scale for the Assessment and Rating of Ataxia (SARA) was used to assess ataxia severity. Two individuals and one matched control underwent high-resolution 7T MRI to characterize cerebellar morphology.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Results: &lt;/strong&gt;Neurocognitive assessments identified cognitive and motor dysfunction across all individuals, including distinct neurocognitive impairments consistent with cerebellar cognitive-affective syndrome (CCAS), along with additional deficits in learning, visual and verbal episodic memory, emotion recognition-a component of social cognition. Anxiety and sleep disturbance, but not depression, were observed in both female participants. High-resolution 7 T MRI revealed structural cerebellar alterations, with moderate to severe bilateral cerebellar atrophy, including the vermis and multiple lobules (Crus II, VIIb, VIIIa, VIIIb, IX), as well as atrophy of the middle and superior cerebellar peduncles, accompanied by mild pontine atrophy. Genetic analyses confirmed the involvement of &lt;i&gt;ELOVL4&lt;/i&gt;-related disruptions in long-chain fatty acid biosynthesis, offering insight into the molecular underpinnings of cerebellar degeneration in SCA34.&lt;/p&gt;&lt;p&gt;&lt;strong&gt;Conclusion: &lt;/strong&gt;Individuals with SCA34 show cerebellar degeneration accompanied by cognitive, motor, and social-affective impairments consistent with CCAS. Atrophy of the vermis, multiple lobules, and cerebellar peduncles align with these deficits, highlighting the cerebellum's key role in cognition. ","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1710961"},"PeriodicalIF":2.3,"publicationDate":"2025-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12722519/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145827316","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
GAME-Net: an ensemble deep learning framework integrating Generative Autoencoders and attention mechanisms for automated brain tumor segmentation in MRI. GAME-Net:一个集成了生成式自动编码器和注意机制的集成深度学习框架,用于MRI自动脑肿瘤分割。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-08 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1702902
Ihtisham Ul Haq, Abid Iqbal, Muhammad Anas, Fahad Masood, Ali S Alzahrani, Mohammed Al-Naeem

Introduction: Accurate and early identification of brain tumors is essential for improving therapeutic planning and clinical outcomes. Manual segmentation of Magnetic Resonance Imaging (MRI) remains time-consuming and subject to inter-observer variability. Computational models that combine Artificial Intelligence and biomedical imaging offer a pathway toward objective and efficient tumor delineation. The present study introduces a deep learning framework designed to enhance brain tumor segmentation performance.

Methods: A comprehensive ensemble architecture was developed by integrating Generative Autoencoders with Attention Mechanisms (GAME), Convolutional Neural Networks, and attention-augmented U-Net segmentation modules. The dataset comprised 5,880 MRI images sourced from the BraTS 2023 benchmark distribution accessed via Kaggle, partitioned into training, validation, and testing subsets. Preprocessing included intensity normalization, augmentation, and unsupervised feature extraction. Tumor segmentation employed an attention-based U-Net, while tumor classification utilized a CNN coupled with Transformer-style self-attention. The Generative Autoencoder performed unsupervised representation learning to refine feature separability and enhance robustness to MRI variability.

Results: The proposed framework achieved notable performance improvements across multiple evaluation metrics. The segmentation module produced a Dice Coefficient of 0.85 and a Jaccard Index of 0.78. The classification component yielded an accuracy of 87.18 percent, sensitivity of 88.3 percent, specificity of 86.5 percent, and an AUC-ROC of 0.91. The combined use of generative modeling, attention mechanisms, and ensemble learning improved tumor localization, boundary delineation, and false positive suppression compared with conventional architectures.

Discussion: The findings indicate that enriched representation learning and attention-driven feature refinement substantially elevate segmentation accuracy on heterogeneous MRI data. The integration of unsupervised learning within the pipeline supported improved generalization across variable imaging conditions. The demonstrated performance suggests strong potential for clinical utility, although broader validation across external datasets is recommended to further substantiate generalizability.

准确和早期识别脑肿瘤对改善治疗计划和临床结果至关重要。人工分割的磁共振成像(MRI)仍然是耗时和受观察者之间的变化。结合人工智能和生物医学成像的计算模型为客观有效的肿瘤描绘提供了一条途径。本研究介绍了一个旨在提高脑肿瘤分割性能的深度学习框架。方法:将生成式自动编码器与注意机制(GAME)、卷积神经网络和注意增强U-Net分割模块集成在一起,构建了一个综合集成架构。该数据集包括5880张MRI图像,这些图像来自通过Kaggle访问的BraTS 2023基准分布,分为训练、验证和测试子集。预处理包括强度归一化、增强和无监督特征提取。肿瘤分割使用了基于注意力的U-Net,而肿瘤分类使用了CNN加上transformer风格的自注意力。生成式自动编码器执行无监督表示学习,以改进特征可分离性并增强对MRI可变性的鲁棒性。结果:提出的框架在多个评估指标上取得了显著的性能改进。分割模块产生的骰子系数为0.85,Jaccard指数为0.78。分类成分的准确度为87.18%,灵敏度为88.3%,特异性为86.5%,AUC-ROC为0.91。与传统架构相比,生成建模、注意机制和集成学习的结合使用改善了肿瘤定位、边界描绘和假阳性抑制。讨论:研究结果表明,丰富的表征学习和注意驱动的特征细化大大提高了异构MRI数据的分割精度。管道中无监督学习的集成支持了不同成像条件下的改进泛化。所展示的性能表明具有很强的临床应用潜力,尽管建议在外部数据集上进行更广泛的验证,以进一步证实其普遍性。
{"title":"GAME-Net: an ensemble deep learning framework integrating Generative Autoencoders and attention mechanisms for automated brain tumor segmentation in MRI.","authors":"Ihtisham Ul Haq, Abid Iqbal, Muhammad Anas, Fahad Masood, Ali S Alzahrani, Mohammed Al-Naeem","doi":"10.3389/fncom.2025.1702902","DOIUrl":"10.3389/fncom.2025.1702902","url":null,"abstract":"<p><strong>Introduction: </strong>Accurate and early identification of brain tumors is essential for improving therapeutic planning and clinical outcomes. Manual segmentation of Magnetic Resonance Imaging (MRI) remains time-consuming and subject to inter-observer variability. Computational models that combine Artificial Intelligence and biomedical imaging offer a pathway toward objective and efficient tumor delineation. The present study introduces a deep learning framework designed to enhance brain tumor segmentation performance.</p><p><strong>Methods: </strong>A comprehensive ensemble architecture was developed by integrating Generative Autoencoders with Attention Mechanisms (GAME), Convolutional Neural Networks, and attention-augmented U-Net segmentation modules. The dataset comprised 5,880 MRI images sourced from the BraTS 2023 benchmark distribution accessed via Kaggle, partitioned into training, validation, and testing subsets. Preprocessing included intensity normalization, augmentation, and unsupervised feature extraction. Tumor segmentation employed an attention-based U-Net, while tumor classification utilized a CNN coupled with Transformer-style self-attention. The Generative Autoencoder performed unsupervised representation learning to refine feature separability and enhance robustness to MRI variability.</p><p><strong>Results: </strong>The proposed framework achieved notable performance improvements across multiple evaluation metrics. The segmentation module produced a Dice Coefficient of 0.85 and a Jaccard Index of 0.78. The classification component yielded an accuracy of 87.18 percent, sensitivity of 88.3 percent, specificity of 86.5 percent, and an AUC-ROC of 0.91. The combined use of generative modeling, attention mechanisms, and ensemble learning improved tumor localization, boundary delineation, and false positive suppression compared with conventional architectures.</p><p><strong>Discussion: </strong>The findings indicate that enriched representation learning and attention-driven feature refinement substantially elevate segmentation accuracy on heterogeneous MRI data. The integration of unsupervised learning within the pipeline supported improved generalization across variable imaging conditions. The demonstrated performance suggests strong potential for clinical utility, although broader validation across external datasets is recommended to further substantiate generalizability.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1702902"},"PeriodicalIF":2.3,"publicationDate":"2025-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12719480/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145818570","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A neural network model combining the successor representation and actor-critic methods reveals effective biological use of the representation. 神经网络模型结合了后继表示和行动者批评方法,揭示了该表示的有效生物利用。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-11-26 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1647462
Takayuki Tsurumi, Kenji Morita

In learning goal-directed behavior, state representation is important for adapting to the environment and achieving goals. A predictive state representation called successive representation (SR) has recently attracted attention as a candidate for state representation in animal brains, especially in the hippocampus. The relationship between the SR and the animal brain has been studied, and several neural network models for computing the SR have been proposed based on the findings. However, studies on implementation of the SR involving action selection have not yet advanced significantly. Therefore, we explore possible mechanisms by which the SR is utilized biologically for action selection and learning optimal action policies. The actor-critic architecture is a promising model of animal behavioral learning in terms of its correspondence to the anatomy and function of the basal ganglia, so it is suitable for our purpose. In this study, we construct neural network models for behavioral learning using the SR. By using them to perform reinforcement learning, we investigate their properties. Specifically, we investigated the effect of using different state representations for the actor and critic in the actor-critic method, and also compared the actor-critic method with Q-learning and SARSA. We found the difference between the effect of using the SR for the actor and the effect of using the SR for the critic in the actor-critic method, and observed that using the SR in conjunction with one-hot encoding makes it possible to learn with the benefits of both representations. These results suggest the possibility that the striatum can learn using multiple state representations complementarily.

在目标导向行为学习中,状态表征对于适应环境和实现目标具有重要意义。一种被称为连续表征(SR)的预测状态表征最近引起了人们的关注,因为它是动物大脑,特别是海马体中状态表征的候选。在此基础上,提出了几种计算动物脑的神经网络模型。然而,涉及行动选择的社会责任实施研究尚未取得显著进展。因此,我们探索了SR在生物上被用于行动选择和学习最佳行动策略的可能机制。演员-评论家结构是一种很有前途的动物行为学习模型,因为它与基底神经节的解剖结构和功能相对应,所以它适合我们的目的。在这项研究中,我们使用sr构建了用于行为学习的神经网络模型。通过使用它们进行强化学习,我们研究了它们的性质。具体来说,我们研究了演员-评论家方法中演员和评论家使用不同状态表征的效果,并将演员-评论家方法与Q-learning和SARSA进行了比较。我们发现在演员-评论家方法中,对演员使用SR的效果与对评论家使用SR的效果之间存在差异,并观察到将SR与单热编码结合使用可以利用两种表示的好处进行学习。这些结果表明纹状体可以互补地使用多种状态表征进行学习。
{"title":"A neural network model combining the successor representation and actor-critic methods reveals effective biological use of the representation.","authors":"Takayuki Tsurumi, Kenji Morita","doi":"10.3389/fncom.2025.1647462","DOIUrl":"10.3389/fncom.2025.1647462","url":null,"abstract":"<p><p>In learning goal-directed behavior, state representation is important for adapting to the environment and achieving goals. A predictive state representation called successive representation (SR) has recently attracted attention as a candidate for state representation in animal brains, especially in the hippocampus. The relationship between the SR and the animal brain has been studied, and several neural network models for computing the SR have been proposed based on the findings. However, studies on implementation of the SR involving action selection have not yet advanced significantly. Therefore, we explore possible mechanisms by which the SR is utilized biologically for action selection and learning optimal action policies. The actor-critic architecture is a promising model of animal behavioral learning in terms of its correspondence to the anatomy and function of the basal ganglia, so it is suitable for our purpose. In this study, we construct neural network models for behavioral learning using the SR. By using them to perform reinforcement learning, we investigate their properties. Specifically, we investigated the effect of using different state representations for the actor and critic in the actor-critic method, and also compared the actor-critic method with Q-learning and SARSA. We found the difference between the effect of using the SR for the actor and the effect of using the SR for the critic in the actor-critic method, and observed that using the SR in conjunction with one-hot encoding makes it possible to learn with the benefits of both representations. These results suggest the possibility that the striatum can learn using multiple state representations complementarily.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1647462"},"PeriodicalIF":2.3,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12689929/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145741795","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simplex polynomial in complex networks and its applications to compute the Euler characteristic. 单纯形多项式在复杂网络中的应用及其计算欧拉特性。
IF 2.3 4区 医学 Q2 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-11-26 eCollection Date: 2025-01-01 DOI: 10.3389/fncom.2025.1685586
Zhaoyang Wang, Xianghui Fu, Bo Deng, Yang Chen, Haixing Zhao

In algebraic topology, a k-dimensional simplex is defined as a convex polytope consisting of k + 1 vertices. If spatial dimensionality is not considered, it corresponds to the complete graph with k + 1 vertices in graph theory. The alternating sum of the number of simplices across dimensions yields a topological invariant known as the Euler characteristic, which has gained significant attention due to its widespread application in fields such as topology, homology theory, complex systems, and biology. The most common method for calculating the Euler characteristic is through simplicial decomposition and the Euler-Poincaré formula. In this study, we introduce a new "subgraph" polynomial, termed the simplex polynomial, and explore some of its properties. Using those properties, we provide a new method for computing the Euler characteristic and prove the existence of the Euler characteristic as an arbitrary integer by constructing the corresponding simplicial complex structure. When the Euler characteristic is 1, we determined a class of corresponding simplicial complex structures. Moreover, for three common network structures, we present the recurrence relations for their simplex polynomials and their corresponding Euler characteristics. Finally, at the end of this study, three basic questions are raised for the interested readers to study deeply.

在代数拓扑中,k维单纯形被定义为由k + 1个顶点组成的凸多面体。如果不考虑空间维度,则对应于图论中具有k + 1个顶点的完全图。简单数在不同维度上的交替总和产生了一个被称为欧拉特征的拓扑不变量,由于其在拓扑学、同调理论、复杂系统和生物学等领域的广泛应用,它已经获得了显著的关注。计算欧拉特性最常用的方法是通过简单分解和欧拉-庞卡罗公式。在这项研究中,我们引入了一个新的“子图”多项式,称为单纯形多项式,并探讨了它的一些性质。利用这些性质,我们提供了一种计算欧拉特征的新方法,并通过构造相应的简单复结构来证明欧拉特征作为任意整数的存在性。当欧拉特征为1时,我们确定了一类相应的简单复杂结构。此外,对于三种常见的网络结构,我们给出了它们的单纯多项式的递推关系及其相应的欧拉特征。最后,在本研究的最后,提出了三个基本问题,供有兴趣的读者深入研究。
{"title":"Simplex polynomial in complex networks and its applications to compute the Euler characteristic.","authors":"Zhaoyang Wang, Xianghui Fu, Bo Deng, Yang Chen, Haixing Zhao","doi":"10.3389/fncom.2025.1685586","DOIUrl":"10.3389/fncom.2025.1685586","url":null,"abstract":"<p><p>In algebraic topology, a <i>k</i>-dimensional simplex is defined as a convex polytope consisting of <i>k</i> + 1 vertices. If spatial dimensionality is not considered, it corresponds to the complete graph with <i>k</i> + 1 vertices in graph theory. The alternating sum of the number of simplices across dimensions yields a topological invariant known as the Euler characteristic, which has gained significant attention due to its widespread application in fields such as topology, homology theory, complex systems, and biology. The most common method for calculating the Euler characteristic is through simplicial decomposition and the Euler-Poincaré formula. In this study, we introduce a new \"subgraph\" polynomial, termed the simplex polynomial, and explore some of its properties. Using those properties, we provide a new method for computing the Euler characteristic and prove the existence of the Euler characteristic as an arbitrary integer by constructing the corresponding simplicial complex structure. When the Euler characteristic is 1, we determined a class of corresponding simplicial complex structures. Moreover, for three common network structures, we present the recurrence relations for their simplex polynomials and their corresponding Euler characteristics. Finally, at the end of this study, three basic questions are raised for the interested readers to study deeply.</p>","PeriodicalId":12363,"journal":{"name":"Frontiers in Computational Neuroscience","volume":"19 ","pages":"1685586"},"PeriodicalIF":2.3,"publicationDate":"2025-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12689876/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145741829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"医学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
期刊
Frontiers in Computational Neuroscience
全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1