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A next generation neural mass model with neuromodulation. 具有神经调节功能的新一代神经质量模型。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-03-01 Epub Date: 2026-02-12 DOI: 10.1007/s10827-026-00920-1
Damien Depannemaecker, Chloé Duprat, Gabriele Casagrande, Marisa Saggio, Anastasios Polykarpos Athanasiadis, Marianna Angiolelli, Carola Sales Carbonell, Huifang Wang, Spase Petkoski, Pierpaolo Sorrentino, Anthony Randal McIntosh, Hiba Sheheitli, Viktor Jirsa
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引用次数: 0
The refresh rate of overhead projectors may affect the perception of fast moving objects: a modelling study. 高架投影仪的刷新率可能会影响对快速移动物体的感知:一项建模研究。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-02-27 DOI: 10.1007/s10827-026-00928-7
Jérôme Emonet, Bruno Cessac
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引用次数: 0
Co-simulation framework combining a microscopically detailed point neuron model of the hippocampal CA1 region with the macroscopic high-resolution virtual brain model. 海马CA1区微观细节点神经元模型与宏观高分辨率虚拟脑模型相结合的联合仿真框架。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-02-23 DOI: 10.1007/s10827-026-00925-w
Lorenzo Tartarini, Paul Triebkorn, Lionel Kusch, Sergio Solinas, Huifang Wang, Daniela Gandolfi, Viktor Jirsa, Jonathan Mapelli

The human brain is a complex adaptive system characterized by dynamic processes operating across multiple spatio-temporal scales. Capturing these dynamics requires computational models that can integrate different levels of resolution. In this work we present a multiscale co-simulation framework that couples whole-brain modeling with a detailed point-neuron model of the human hippocampal CA1 region. We used a high-resolution implementation of the "The Virtual Brain" (TVB), in which cortical surface mesh vertices are embedded with the Spatial Epileptor Model (SEM). At the microscale, the CA1 model captures neuronal activity at micrometer spatial and sub-millisecond temporal resolution. This integration enables the simulation of macroscale epileptic dynamics with microscale neuronal precision within anatomically grounded brain regions, facilitating cross-scale communication. These results demonstrate the potential of this approach to advance mechanism-driven, personalized medicine in clinical neuroscience.

人类大脑是一个复杂的自适应系统,其特征是在多个时空尺度上运行的动态过程。捕捉这些动态需要能够集成不同分辨率的计算模型。在这项工作中,我们提出了一个多尺度联合模拟框架,将全脑建模与人类海马CA1区域的详细点神经元模型相结合。我们使用了“虚拟大脑”(TVB)的高分辨率实现,其中皮质表面网格顶点嵌入了空间癫痫模型(SEM)。在微观尺度上,CA1模型以微米级的空间分辨率和亚毫秒级的时间分辨率捕捉神经元活动。这种整合可以在解剖学基础的大脑区域内以微观尺度的神经元精度模拟宏观癫痫动力学,促进跨尺度的交流。这些结果证明了这种方法在推进机制驱动的个性化临床神经科学医学方面的潜力。
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引用次数: 0
Introduction to the Proceedings of the CNS*2025 Meeting. CNS*2025会议论文集简介。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-02-01 DOI: 10.1007/s10827-026-00921-0
Shailesh Appukuttan, Julie S Haas, Thomas Nowotny
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引用次数: 0
34th Annual Computational Neuroscience Meeting: CNS*2025. 第34届计算神经科学年会:CNS*2025。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2026-02-01 DOI: 10.1007/s10827-025-00915-4
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引用次数: 0
Rhythm generation, robustness, and control in stick insect locomotion: modeling and analysis. 节奏虫运动中的节奏生成、鲁棒性和控制:建模和分析。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-01 Epub Date: 2025-10-02 DOI: 10.1007/s10827-025-00913-6
Zahra Aminzare, Jonathan E Rubin

Stick insect stepping patterns have been studied for insights about locomotor rhythm generation and control, because the underlying neural system is relatively accessible experimentally and produces a variety of rhythmic outputs. Harnessing the experimental identification of effective interactions among neuronal units involved in stick insect stepping pattern generation, previous studies proposed computational models simulating aspects of stick insect locomotor activity. While these models generate diverse stepping patterns and transitions between them, there has not been an in-depth analysis of the mechanisms underlying their dynamics. In this study, we focus on modeling rhythm generation by the neurons associated with the protraction-retraction, levation-depression, and extension-flexion antagonistic muscle pairs of the mesothoracic (middle) leg of stick insects. Our model features a reduced central pattern generator (CPG) circuit for each joint and includes synaptic interactions among the CPGs; we also consider extensions such as the inclusion of motoneuron pools controlled by the CPG components. The resulting network is described by an 18-dimensional system of ordinary differential equations. We use fast-slow decomposition, projection into interacting phase planes, and a heavy reliance on input-dependent nullclines to analyze this model. Specifically, we identify and eludicate dynamic mechanisms capable of generating a stepping rhythm, with a sequence of biologically constrained phase relationships, in a three-joint stick insect limb model. Furthermore, we explain the robustness to parameter changes and tunability of these patterns. In particular, the model allows us to identify possible mechanisms by which neuromodulatory and top-down effects could tune stepping pattern output frequency.

竹节虫的行走模式已经被研究,以了解运动节奏的产生和控制,因为潜在的神经系统在实验上相对容易接近,并产生各种节奏输出。利用实验鉴定参与竹节虫行走模式生成的神经元单元之间的有效相互作用,先前的研究提出了模拟竹节虫运动活动方面的计算模型。虽然这些模型产生了不同的步进模式和它们之间的转换,但尚未对其动态背后的机制进行深入分析。在这项研究中,我们重点研究了竹节虫中胸椎(中)腿的伸-收、提-降和伸-屈拮抗肌对相关神经元产生的节律。我们的模型为每个关节提供了一个简化的中央模式发生器(CPG)电路,并包括CPG之间的突触相互作用;我们还考虑了扩展,如包含由CPG组件控制的运动神经元池。由此产生的网络由一个18维常微分方程系统来描述。我们使用快慢分解,投影到相互作用的相平面,并严重依赖于输入相关的空线来分析这个模型。具体而言,我们确定并阐明了能够在三关节竹节虫肢体模型中产生具有一系列生物学约束相关系的步进节奏的动力学机制。此外,我们解释了这些模式对参数变化的鲁棒性和可调性。特别是,该模型使我们能够确定神经调节和自上而下效应可以调整步进模式输出频率的可能机制。
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引用次数: 0
Differential temporal filtering in the fly optic lobe. 苍蝇视叶的差分时域滤波。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-01 Epub Date: 2025-09-26 DOI: 10.1007/s10827-025-00914-5
Alexander Borst

Visual interneurons come in many different flavors, representing luminance changes at one location as ON or OFF signals with different dynamics, ranging from purely sustained to sharply transient responses. While the functional relevance of this representation for subsequent computations like direction-selective motion detection is well understood, the mechanisms by which these differences in dynamics arise are unclear. Here, I study this question in the fly optic lobe. Taking advantage of the known connectome I simulate a network of five adjacent optical columns each comprising 65 different cell types. Each neuron is modeled as an electrically compact single compartment, conductance-based element that receives input from other neurons within its column and from its neighboring columns according to the intra- and inter-columnar connectivity matrix. The sign of the input is determined according to the known transmitter type of the presynaptic neuron and the receptor on the postsynaptic side. In addition, some of the neurons are given voltage-dependent conductances known from the fly transcriptome. As free parameters, each neuron has an input and an output gain, applied to all its input and output synapses, respectively. The parameters are adjusted such that the spatio-temporal receptive field properties of 13 out of the 65 simulated neurons match the experimentally determined ones as closely as possible. Despite the fact that all neurons have identical leak conductance and membrane capacitance, this procedure leads to a surprisingly good fit to the data, where specific neurons respond transiently while others respond in a sustained way to luminance changes. This fit critically depends on the presence of an H-current in some of the first-order interneurons, i.e., lamina cells L1 and L2: turning off the H-current eliminates the transient response nature of many neurons leaving only sustained responses in all of the examined interneurons. I conclude that the diverse dynamic response behavior of the columnar neurons in the fly optic lobe starts in the lamina and is created by their different intrinsic membrane properties. I predict that eliminating the hyperpolarization-activated current by RNAi should strongly affect the dynamics of many medulla neurons and, consequently, also higher-order functions depending on them like direction-selectivity in T4 and T5 neurons.

视觉中间神经元有许多不同的口味,代表一个位置的亮度变化作为不同动态的ON或OFF信号,从纯粹的持续到急剧的瞬态响应。虽然这种表示与后续计算(如方向选择运动检测)的功能相关性得到了很好的理解,但这些动力学差异产生的机制尚不清楚。在这里,我在果蝇的视叶中研究这个问题。利用已知的连接体,我模拟了一个由五个相邻的光学柱组成的网络,每个光学柱包含65种不同的细胞类型。每个神经元都被建模为一个电紧凑的单室,基于电导的元件,根据柱内和柱间连接矩阵接收来自其列内和邻近列的其他神经元的输入。输入信号是根据已知的突触前神经元的递质类型和突触后一侧的受体来确定的。此外,一些神经元被赋予从果蝇转录组已知的电压依赖性电导。作为自由参数,每个神经元都有一个输入增益和一个输出增益,分别应用于所有的输入和输出突触。对参数进行调整,使65个模拟神经元中13个的时空感受野属性尽可能与实验确定的神经元相匹配。尽管所有神经元都具有相同的泄漏电导和膜电容,但该过程与数据的拟合程度惊人地好,其中特定神经元对亮度变化的反应是短暂的,而其他神经元对亮度变化的反应是持续的。这种拟合在很大程度上取决于h电流在一些一级中间神经元(即层状细胞L1和L2)中的存在:关闭h电流消除了许多神经元的瞬态反应性质,只在所有被检查的中间神经元中留下持续的反应。笔者认为,果蝇视叶柱状神经元的不同动态响应行为始于层,是由它们不同的内在膜特性造成的。我预测,通过RNAi消除超极化激活电流应该会强烈影响许多髓质神经元的动力学,因此也会影响依赖于它们的高阶功能,如T4和T5神经元的方向选择性。
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引用次数: 0
Postsynaptic frequency filters shaped by the interplay of synaptic short-term plasticity and cellular time scales. 突触短期可塑性和细胞时间尺度相互作用形成的突触后频率滤波器。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-01 Epub Date: 2025-10-21 DOI: 10.1007/s10827-025-00908-3
Yugarshi Mondal, Guillermo Villanueva Benito, Rodrigo F O Pena, Horacio G Rotstein

Neuronal frequency filters can be thought of as constituent building blocks underlying the ability of neuronal systems to process information, generate rhythms and perform computations. How neuronal filters are generated by the concerted activity of a multiplicity of processes (e.g., electric circuit, history-dependent) and interacting time scales within and across levels of neuronal network organization is poorly understood. In this paper, we use mathematical modeling, numerical simulations and analytical calculations of the postsynaptic response to presynaptic spike trains to address this issue in a basic feedforward network motif in the presence of synaptic short-term plasticity (STP, depression and facilitation). The network motif consists of a presynaptic spike-train, a postsynaptic passive cell, and an excitatory (AMPA) chemical synapse. The dynamics of each network component are controlled by one or more time scales. We explain the mechanisms by which the participating time scales shape the neuronal filters at the (i) synaptic update level (the target of the synaptic variable in response to presynaptic spikes), which is shaped by STP, (ii) the synaptic level, and (iii) the postsynaptic membrane potential (PSP) level. We focus on three metrics that gives rise to three types of profiles (curves of the corresponding metrics as a function of the spike-train input frequency or firing rate): (i) peak profiles, (ii) peak-to-trough amplitude profiles, and (iii) phase profiles. The effects of STP are present at the synaptic update level and are communicated to the synaptic level where they interact with the synaptic time scales. The PSP filters result from the interaction between these variables and time scales and the biophysical properties and time scales of the postsynaptic cell. Band-pass filters (BPFs) result from a combination of low-pass filters (LPFs) and high-pass filters (HPFs) operating at the same or different levels of organization. PSP BPFs can be inherited from the synaptic level (STP-mediated BPFs) or they can be generated across levels of organization due to the interaction between (i) a synaptic LPF and the PSP summation-mediated HPF (PSP peaks), and (ii) a synaptic HPF and the PSP summation-mediated LPF (PSP amplitude). These types of BPFs persist in response to more realistic presynaptic spike trains: jittered (randomly perturbed) periodic spike trains and Poisson-distributed spike trains. The response variability is frequency-dependent and is controlled by STP in a non-monotonic frequency manner. The results and lessons learned from the investigation of this basic network motif are a necessary step for the construction of a framework to analyze the mechanisms of generation of neuronal filters in networks with more complex architectures and a variety of interacting cellular, synaptic and plasticity time scales.

神经元频率滤波器可以被认为是神经元系统处理信息、产生节奏和执行计算能力的基本组成部分。神经过滤器是如何通过多种过程(例如,电路,历史依赖)的协同活动以及神经网络组织内部和跨层次的相互作用时间尺度产生的,人们知之甚少。在本文中,我们使用数学建模,数值模拟和分析计算突触后对突触前尖峰序列的反应,以解决突触短期可塑性(STP,抑制和促进)存在的基本前馈网络motif中的这一问题。该网络基序由突触前spike-train、突触后被动细胞和兴奋性(AMPA)化学突触组成。每个网络组件的动态由一个或多个时间尺度控制。我们解释了参与时间尺度在(i)突触更新水平(响应突触前峰值的突触变量的目标)(STP), (ii)突触水平和(iii)突触后膜电位(PSP)水平上塑造神经元过滤器的机制。我们专注于三个指标,它们产生了三种类型的剖面(相应的指标曲线作为峰列输入频率或发射速率的函数):(i)峰值剖面,(ii)峰谷振幅剖面,(iii)相位剖面。STP的影响存在于突触更新水平,并传达到突触水平,在那里它们与突触时间尺度相互作用。PSP滤波器是这些变量和时间尺度以及突触后细胞的生物物理特性和时间尺度相互作用的结果。带通滤波器(bpf)是低通滤波器(lpf)和高通滤波器(hpf)在相同或不同的组织水平上工作的组合。PSP bpf可以从突触水平(stp介导的bpf)遗传,也可以通过(i)突触LPF和PSP累计介导的HPF (PSP峰值)之间的相互作用,以及(ii)突触HPF和PSP累计介导的LPF (PSP振幅)之间的相互作用,在组织的各个水平上产生。这些类型的bp持续响应更现实的突触前尖峰序列:抖动(随机扰动)周期性尖峰序列和泊松分布尖峰序列。响应变异性是频率相关的,由STP以非单调频率方式控制。从这一基本网络基序的研究中获得的结果和经验教训是构建一个框架的必要步骤,以分析具有更复杂结构和各种相互作用的细胞、突触和可塑性时间尺度的网络中神经元滤波器的产生机制。
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引用次数: 0
Parameter estimation of the network of FitzHugh-Nagumo neurons based on the speed-gradient and filtering. 基于速度梯度和滤波的FitzHugh-Nagumo神经元网络参数估计。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-01 Epub Date: 2025-11-22 DOI: 10.1007/s10827-025-00916-3
Aleksandra Rybalko, Alexander Fradkov

The paper addresses the problem of parameter estimation (or identification) in dynamical networks composed of an arbitrary number of FitzHugh-Nagumo neuron models with diffusive couplings between each other. It is assumed that only the membrane potential of each model is measured, while the other state variable and all derivatives remain unmeasured. Additionally, constant potential measurement errors in the membrane potential due to sensor imprecision are considered. To solve this problem, firstly, the original FitzHugh-Nagumo network is transformed into a linear regression model, where the regressors are obtained by applying a filter-differentiator to specific combinations of the measured variables. Secondly, the speed-gradient method is applied to this linear model, leading to the design of an identification algorithm for the FitzHugh-Nagumo neural network. Sufficient conditions for the asymptotic convergence of the parameter estimates to their true values are derived for the proposed algorithm. Parameter estimation for some networks is demonstrated through computer simulation. The results confirm that the sufficient conditions are satisfied in the numerical experiments conducted. Furthermore, the algorithm's capabilities for adjusting the identification accuracy and time are investigated. The proposed approach has potential applications in nervous system modeling, particularly in the context of human brain modeling. For instance, EEG signals could serve as the measured variables of the network, enabling the integration of mathematical neural models with empirical data collected by neurophysiologists.

本文研究了由任意数量的FitzHugh-Nagumo神经元模型组成的具有扩散耦合的动态网络的参数估计(或辨识)问题。假设只测量每个模型的膜电位,而其他状态变量和所有导数都不测量。此外,由于传感器的不精确,膜电位的恒定电位测量误差也被考虑在内。为了解决这一问题,首先将原始的FitzHugh-Nagumo网络转化为线性回归模型,其中回归量通过对测量变量的特定组合应用滤波微分器得到。其次,将速度梯度法应用于该线性模型,设计了FitzHugh-Nagumo神经网络的辨识算法。给出了该算法参数估计渐近收敛于真值的充分条件。通过计算机仿真验证了某些网络的参数估计。数值实验结果证实了上述充分条件。此外,还研究了该算法对识别精度和时间的调节能力。提出的方法在神经系统建模,特别是在人脑建模的背景下具有潜在的应用。例如,脑电图信号可以作为网络的测量变量,使数学神经模型与神经生理学家收集的经验数据相结合。
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引用次数: 0
Multi-scale model of neural entrainment by transcranial alternating current stimulation in realistic cortical anatomy. 真实皮质解剖中经颅交流电刺激神经夹带的多尺度模型。
IF 2 4区 医学 Q3 MATHEMATICAL & COMPUTATIONAL BIOLOGY Pub Date : 2025-12-01 Epub Date: 2025-09-08 DOI: 10.1007/s10827-025-00912-7
Xuelin Huang, Xile Wei, Jiang Wang, Guosheng Yi

Transcranial alternating current stimulation (tACS) enables non-invasive modulation of brain activity, holding promise for cognitive research and clinical applications. However, it remains unclear how the spiking activity of cortical neurons is modulated by specific electric field (E-field) distributions. Here, we use a multi-scale computational framework that integrates an anatomically accurate head model with morphologically realistic neuron models to simulate the responses of layer 5 pyramidal cells (L5 PCs) to the E-fields generated by conventional M1-SO tACS. Neural entrainment is quantified by calculating the phase-locking value (PLV) and preferred phase (PPh). We find that the tACS-induced E-field distributions across the L5 surface of interest (SOI) are heterogeneous, resulting in diverse neural entrainment of L5 PCs due to their sensitivities to the direction and intensity of the E-fields. Both PLV and PPh follow a smooth cosine dependency on the E-field polar angle, with minimal sensitivity to the azimuthal angle. PLV exhibits a positive linear dependence on the E-field intensity. However, PPh either increases or decreases logarithmically with E-field intensity that depends on the E-field direction. Correlation analysis reveals that neural entrainment can be largely explained by the normal component of the E-field or by somatic polarization, especially for E-field directed outward relative to the cortical surface. Moreover, cell morphology plays a crucial role in shaping the diverse neural entrainment to tACS. Although the uniform E-field extracted at the soma provides a good approximation for modeling tACS at the cellular level, the non-uniform E-field distribution should be considered for investigating more accurate cellular mechanisms of tACS. These findings highlight the crucial roles of heterogeneous E-field distributions, cell morphology, and E-field non-uniformity in modulating neuronal spiking activity by tACS in realistic neuroanatomy, deepening our understanding of the cellular mechanism underlying tACS. Our work bridges macroscopic brain stimulation with microscopic neural activity, which benefits the development of brain models and derived clinical applications relying on model-driven brain stimulation with tACS-induced weak E-fields.

经颅交流电刺激(tACS)实现了大脑活动的非侵入性调节,为认知研究和临床应用带来了希望。然而,目前还不清楚皮层神经元的尖峰活动是如何被特定的电场(E-field)分布所调节的。在这里,我们使用了一个多尺度计算框架,将解剖学上精确的头部模型与形态学上真实的神经元模型相结合,来模拟第5层锥体细胞(L5 PCs)对传统M1-SO tac产生的电场的反应。通过计算锁相值(PLV)和首选相位(PPh)来量化神经夹带。我们发现tacs诱导的L5感兴趣面(SOI)上的电场分布是不均匀的,由于L5 pc对电场方向和强度的敏感性,导致L5 pc的神经夹带是不同的。PLV和PPh都遵循一个平滑的余弦依赖于e场极角,对方位角的敏感性最小。PLV与电场强度呈线性正相关。然而,PPh随电场强度呈对数增加或减少,这取决于电场方向。相关分析表明,神经夹带在很大程度上可以用电场的正常成分或体细胞极化来解释,特别是相对于皮层表面向外的电场。此外,细胞形态在形成对tACS的不同神经夹带中起着至关重要的作用。尽管在胞体处提取的均匀电场为在细胞水平上模拟tACS提供了很好的近似,但为了研究更准确的tACS细胞机制,应考虑非均匀电场分布。这些发现强调了在现实神经解剖学中,异质电场分布、细胞形态和电场不均匀性在tACS调节神经元尖峰活动中的重要作用,加深了我们对tACS细胞机制的理解。我们的工作将宏观脑刺激与微观神经活动联系起来,这有利于依靠tacs诱导的弱电场驱动的模型脑刺激的发展和衍生的临床应用。
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引用次数: 0
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Journal of Computational Neuroscience
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