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Quantifying coupling and causality in dynamic bivariate systems: a unified framework for time-domain, spectral, and information-theoretic analysis. 量化动态二元系统中的耦合和因果关系:一个统一的时域、谱和信息论分析框架。
IF 3 Pub Date : 2026-01-06 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1687132
Laura Sparacino, Helder Pinto, Chiara Barà, Yuri Antonacci, Riccardo Pernice, Ana Paula Rocha, Luca Faes

Understanding the underlying dynamics of complex real-world systems, such as neurophysiological and climate systems, requires quantifying the functional interactions between the system units under different scenarios. This tutorial paper offers a comprehensive description to time, frequency and information-theoretic domain measures for assessing the interdependence between pairs of time series describing the dynamical activities of physical systems, supporting flexible and robust analyses of statistical dependencies and directional relationships. Classical time and frequency domain correlation-based measures, as well as directional approaches derived from the notion of Granger causality, are introduced and discussed, along with information-theoretic measures of symmetrical and directional coupling. Both linear model-based and non-linear model-free estimation approaches are thoroughly described, the latter including binning, permutation, and nearest-neighbour estimators. Special emphasis is placed on the description of a unified framework that establishes a connection between causal and symmetric, as well as spectral and information-theoretic measures. This framework enables the frequency-specific representation of information-theoretic metrics, allowing for a detailed investigation of oscillatory components in bivariate systems. The practical computation of the interaction measures is favoured by presenting a software toolbox and two exemplary applications to cardiovascular and climate data. By bridging theoretical concepts with practical tools, this work enables researchers to effectively investigate a wide range of dynamical behaviours in various real-world scenarios in Network Physiology and beyond.

理解复杂的现实世界系统的潜在动力学,如神经生理和气候系统,需要量化不同场景下系统单元之间的功能相互作用。本文全面介绍了时间、频率和信息论领域的测量方法,用于评估描述物理系统动态活动的时间序列对之间的相互依赖性,支持对统计依赖性和方向关系的灵活和稳健的分析。介绍并讨论了经典的基于时间和频域相关的度量,以及由格兰杰因果关系概念衍生的定向方法,以及对称和定向耦合的信息论度量。本文对基于线性模型的估计方法和非线性无模型估计方法进行了全面的描述,其中非线性无模型估计方法包括分箱、置换和最近邻估计。特别强调的是描述一个统一的框架,建立因果和对称之间的联系,以及频谱和信息理论的措施。该框架使信息理论度量的频率特定表示成为可能,允许对二元系统中的振荡分量进行详细研究。通过介绍一个软件工具箱和两个用于心血管和气候数据的示例应用,有利于相互作用措施的实际计算。通过将理论概念与实际工具相结合,这项工作使研究人员能够有效地研究网络生理学等各种现实世界场景中的各种动态行为。
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引用次数: 0
Evaluation of deep learning tools in medical diagnosis and treatment of cancer: research analysis of clinical and randomized clinical trials. 深度学习工具在癌症医学诊断和治疗中的评价:临床和随机临床试验的研究分析。
IF 3 Pub Date : 2026-01-05 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1578562
Rawad Hodeify

Artificial Intelligence and machine learning tools have brought a revolution in the healthcare sector. This has allowed healthcare providers, patients, and public to be at pole position -amidst the key consideration and barriers-to attain precision and personalized medicine. Deep Learning (DL) is a branch of machine learning and AI that has become transformative for healthcare and biomedicine, providing the ability to analyze large, complicated data, capture abstract patterns, and present fast and accurate predictions. DL models are based on complex neural networks that emulate biological neural networks. In this paper, our goal is to evaluate DL algorithms in clinical trials stratified per cancer type and present future perspectives on the most promising DL approaches. We systematically reviewed articles on deep learning in cancer diagnostics in studies published in the Pubmed database. The searched literature included two types of articles, clinical trials, and randomized controlled trials. The deep learning algorithms used in the targeted literature are reviewed, and then we evaluated the performance of the algorithms used in disease prediction and prognosis. We aim to highlight the promising DL approaches reported per cancer type. Finally, we present current limitations and potential recommendations in large-scale implementation of deep learning and AI in cancer care.

人工智能和机器学习工具给医疗保健行业带来了一场革命。这使得医疗保健提供者、患者和公众在获得精确和个性化医疗的关键考虑和障碍中处于有利地位。深度学习(DL)是机器学习和人工智能的一个分支,已经成为医疗保健和生物医学的变革,提供分析大型复杂数据,捕获抽象模式以及提供快速准确预测的能力。深度学习模型基于模拟生物神经网络的复杂神经网络。在本文中,我们的目标是评估临床试验中按癌症类型分层的深度学习算法,并提出最有前途的深度学习方法的未来观点。我们系统地回顾了在Pubmed数据库中发表的关于癌症诊断中深度学习的文章。检索文献包括两种类型的文章,临床试验和随机对照试验。回顾了目标文献中使用的深度学习算法,然后评估了用于疾病预测和预后的算法的性能。我们的目标是强调有前途的DL方法报告每个癌症类型。最后,我们提出了目前在癌症治疗中大规模实施深度学习和人工智能的局限性和潜在建议。
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引用次数: 0
Coronary artery disease prediction using Bayesian-optimized support vector machine with feature selection. 基于特征选择的贝叶斯优化支持向量机预测冠心病。
IF 3 Pub Date : 2025-12-11 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1658470
Abdul Zahir Baratpur, Hamed Vahdat-Nejad, Emrah Arslan, Javad Hassannataj Joloudari, Silvia Gaftandzhieva

Introduction: Cardiovascular diseases, particularly Coronary Artery Disease (CAD), remain a leading cause of mortality worldwide. Invasive angiography, while accurate, is costly and risky. This study proposes a non-invasive, interpretable CAD prediction framework using the Z-Alizadeh Sani dataset.

Methods: A hybrid decision tree-AdaBoost method is employed to select 30 clinically relevant features. To prevent data leakage, SMOTE oversampling is applied exclusively within each training fold of a 10-fold cross-validation pipeline. The Support Vector Machine (SVM) model is optimized using Bayesian hyperparameter tuning and compared against Sea Lion Optimization Algorithm (SLOA) and grid search. SHapley Additive exPlanations (SHAP) analysis is utilized to interpret the feature contributions.

Results: The SVM_Bayesian model achieves 97.67% accuracy, 95.45% precision, 100.00% sensitivity, 97.67% F1-score, and 99.00% AUC, outperforming logistic regression (93.02% accuracy, 92.68% F1-score), random forest (95.45% accuracy, 93.33% F1-score), standard SVM (77.00% accuracy), and SLOA-optimized SVM (93.02% accuracy). Ablation studies and Wilcoxon signed-rank tests confirm the statistical superiority of the proposed model.

Discussion: SHAP analysis reveals clinically meaningful feature contributions (e.g., Typical Chest Pain, Age, EFTTE). 95% bootstrap confidence intervals and temporal generalization on an independent test set ensure robustness and prevent overfitting. Future work includes validation on external real-world datasets. This framework provides a transparent, generalizable, and clinically actionable tool for CAD risk stratification, aligned with the principles of network physiology by focusing on interconnected cardiovascular features in predicting systemic disease.

导言:心血管疾病,特别是冠状动脉疾病(CAD),仍然是世界范围内死亡的主要原因。侵入性血管造影虽然准确,但成本高且风险大。本研究提出了一个使用Z-Alizadeh Sani数据集的非侵入性、可解释的CAD预测框架。方法:采用混合决策树- adaboost方法选择30个临床相关特征。为了防止数据泄漏,SMOTE过采样只在10倍交叉验证管道的每个训练折叠中应用。采用贝叶斯超参数调优对支持向量机(SVM)模型进行了优化,并与海狮优化算法(SLOA)和网格搜索进行了比较。SHapley加性解释(SHAP)分析用于解释特征贡献。结果:SVM - bayesian模型准确率97.67%,精密度95.45%,灵敏度100.00%,F1-score 97.67%, AUC 99.00%,优于logistic回归(准确率93.02%,F1-score 92.68%)、随机森林(准确率95.45%,F1-score 93.33%)、标准SVM(准确率77.00%)和sloa优化SVM(准确率93.02%)。消融研究和Wilcoxon符号秩检验证实了所提出模型的统计优越性。讨论:SHAP分析揭示了临床有意义的特征贡献(例如,典型胸痛、年龄、EFTTE)。95%的自举置信区间和独立测试集的时间泛化确保鲁棒性并防止过拟合。未来的工作包括对外部真实世界数据集的验证。该框架为CAD风险分层提供了一个透明的、可推广的、临床可操作的工具,通过关注相互关联的心血管特征来预测全身性疾病,与网络生理学原则保持一致。
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引用次数: 0
Signal propagation in small networks of Hodgkin-Huxley neurons. 霍奇金-赫胥黎神经元小网络中的信号传播。
IF 3 Pub Date : 2025-12-02 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1729999
Tatiana R Bogatenko, Konstantin S Sergeev, Galina I Strelkova

The study of neuron models and their networks is a riveting topic for many researchers worldwide because it allows to glimpse the fundamental processes using accessible methodology. The paper considers dynamics of small networks of Hodkin-Huxley neurons, namely a chain of three neurons and a small-world-like network of seven neurons. The ensembles of neurons are represented by systems of ordinary differential equations, so the research has been conducted numerically. It has been found that complex quasi-periodic and chaotic regimes may arise in the systems, and the existense of such regimes is caused by the inner parameters of the systems, such as individual currents of the neurons and the coupling between them. This research contributes to the fundamental understanding of signal propagation in networks of neuron models and may provide insight into the physiology of real neuronal systems.

神经元模型及其网络的研究对全世界的许多研究人员来说是一个引人入胜的话题,因为它允许使用可访问的方法来瞥见基本过程。本文考虑了Hodkin-Huxley神经元小网络的动力学,即三个神经元链和七个神经元的小世界网络。神经元集合用常微分方程组来表示,因此对其进行了数值研究。系统中可能出现复杂的拟周期和混沌状态,这种状态的存在是由系统的内部参数引起的,如神经元的单个电流和它们之间的耦合。本研究有助于对神经元模型网络中信号传播的基本理解,并可能为真实神经元系统的生理学提供见解。
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引用次数: 0
Towards standardizing mitral transcatheter edge-to-edge repair with deep-learning algorithm: a comprehensive multi-model strategy. 面向二尖瓣经导管边缘到边缘修复标准化的深度学习算法:综合多模型策略。
IF 3 Pub Date : 2025-11-25 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1701758
Silvia Corona, Théo Godefroy, Olivier Tastet, Denis Corbin, Thomas Modine, Stephan von Bardeleben, Frédéric Lesage, Walid Ben Ali

Background: Severe mitral valve regurgitation requires comprehensive evaluation for optimal treatment. Initial screening uses transthoracic echocardiography (TTE), followed by transesophageal echocardiography (TEE) to determine eligibility for adequate intervention. Mitral Transcatheter Edge-to-Edge Repair (M-TEER) indications are based on detailed and quality valve and sub-valvular apparatus assessment, including anatomy and regurgitation pathophysiology.

Aim: To develop AI algorithms for standardizing M-TEER eligibility assessment using TTE and TEE echocardiograms, supporting all stages of mitral valve regurgitation evaluation to assist non-expert centers throughout the entire process, from severe mitral valve regurgitation diagnostic to M-TEER procedure.

Methods: Three deep learning algorithms were developed using echocardiographic data from M-TEER patients performed at Montreal Heart Institute (2018-2025). 1. ECHO-PREP was trained to identify key diagnostic views in TTE (n = 530) and diagnostic and procedural views in TEE (n = 2,222) examinations to determine the level of quality images needed to do a M-TEER. 2. 4D TEE segmentation with automated mitral valve area (MVA) quantification (n = 221), and 3. 2D TEE scallop-level segmentation of leaflets and sub-valvular structures (n = 992).

Results: Preliminary results on test sets showed 95.7% accuracy in TTE view classification and 91% accuracy for TEE view classification. The 4D segmentation module demonstrated excellent agreement with manual MVA measurements (R = 0.84, p < 0.001), successfully discriminating patients undergoing M-TEER from those referred for surgical replacement (p = 0.046 for AI predictions). The 2D scallop-level analysis achieved a mean Dice score of 0.534 across 11 anatomical structures, with better performance in commonly represented configurations (e.g., A2-P2, P1-A2-P3).

Conclusion: ECHO-PREP demonstrates the feasibility of an integrated AI-assisted workflow for MR assessment, combining quality control, dynamic 4D valve quantification, and scallop-level anatomy interpretation. These results support the potential of AI to standardize M-TEER eligibility, reduce inter-observer variability, and provide decision support across centers with different levels of expertise.

背景:严重的二尖瓣返流需要综合评估以确定最佳治疗方法。最初的筛查使用经胸超声心动图(TTE),然后是经食管超声心动图(TEE)来确定适当干预的资格。二尖瓣经导管边缘到边缘修复(M-TEER)的适应症是基于详细和高质量的瓣膜和瓣下器官评估,包括解剖和反流病理生理学。目的:开发使用TTE和TEE超声心动图标准化M-TEER资格评估的人工智能算法,支持二尖瓣反流评估的所有阶段,以协助非专业中心在整个过程中,从严重二尖瓣反流诊断到M-TEER程序。方法:使用蒙特利尔心脏研究所(2018-2025)M-TEER患者的超声心动图数据开发了三种深度学习算法。1. 对ECHO-PREP进行训练,以识别TTE (n = 530)的关键诊断视图和TEE (n = 2222)的诊断和程序视图,以确定进行M-TEER所需的质量图像水平。2. 2 .使用自动二尖瓣面积(MVA)量化的4D TEE分割(n = 221);小叶和瓣下结构的二维TEE扇贝水平分割(n = 992)。结果:测试集的初步结果显示,TTE视图分类准确率为95.7%,TEE视图分类准确率为91%。4D分割模块与人工MVA测量结果非常吻合(R = 0.84, p < 0.001),成功区分了接受M-TEER手术的患者和接受手术替代的患者(AI预测p = 0.046)。2D扇贝水平分析在11个解剖结构中获得了0.534的平均Dice分数,在常见的构型(例如A2-P2, P1-A2-P3)中表现更好。结论:ECHO-PREP证明了集成ai辅助MR评估工作流程的可行性,该流程结合了质量控制、动态4D阀量化和扇贝级解剖解释。这些结果支持人工智能标准化M-TEER资格的潜力,减少观察者之间的差异,并为具有不同专业水平的中心提供决策支持。
{"title":"Towards standardizing mitral transcatheter edge-to-edge repair with deep-learning algorithm: a comprehensive multi-model strategy.","authors":"Silvia Corona, Théo Godefroy, Olivier Tastet, Denis Corbin, Thomas Modine, Stephan von Bardeleben, Frédéric Lesage, Walid Ben Ali","doi":"10.3389/fnetp.2025.1701758","DOIUrl":"10.3389/fnetp.2025.1701758","url":null,"abstract":"<p><strong>Background: </strong>Severe mitral valve regurgitation requires comprehensive evaluation for optimal treatment. Initial screening uses transthoracic echocardiography (TTE), followed by transesophageal echocardiography (TEE) to determine eligibility for adequate intervention. Mitral Transcatheter Edge-to-Edge Repair (M-TEER) indications are based on detailed and quality valve and sub-valvular apparatus assessment, including anatomy and regurgitation pathophysiology.</p><p><strong>Aim: </strong>To develop AI algorithms for standardizing M-TEER eligibility assessment using TTE and TEE echocardiograms, supporting all stages of mitral valve regurgitation evaluation to assist non-expert centers throughout the entire process, from severe mitral valve regurgitation diagnostic to M-TEER procedure.</p><p><strong>Methods: </strong>Three deep learning algorithms were developed using echocardiographic data from M-TEER patients performed at Montreal Heart Institute (2018-2025). 1. ECHO-PREP was trained to identify key diagnostic views in TTE (n = 530) and diagnostic and procedural views in TEE (n = 2,222) examinations to determine the level of quality images needed to do a M-TEER. 2. 4D TEE segmentation with automated mitral valve area (MVA) quantification (n = 221), and 3. 2D TEE scallop-level segmentation of leaflets and sub-valvular structures (n = 992).</p><p><strong>Results: </strong>Preliminary results on test sets showed 95.7% accuracy in TTE view classification and 91% accuracy for TEE view classification. The 4D segmentation module demonstrated excellent agreement with manual MVA measurements (R = 0.84, p < 0.001), successfully discriminating patients undergoing M-TEER from those referred for surgical replacement (p = 0.046 for AI predictions). The 2D scallop-level analysis achieved a mean Dice score of 0.534 across 11 anatomical structures, with better performance in commonly represented configurations (e.g., A2-P2, P1-A2-P3).</p><p><strong>Conclusion: </strong>ECHO-PREP demonstrates the feasibility of an integrated AI-assisted workflow for MR assessment, combining quality control, dynamic 4D valve quantification, and scallop-level anatomy interpretation. These results support the potential of AI to standardize M-TEER eligibility, reduce inter-observer variability, and provide decision support across centers with different levels of expertise.</p>","PeriodicalId":73092,"journal":{"name":"Frontiers in network physiology","volume":"5 ","pages":"1701758"},"PeriodicalIF":3.0,"publicationDate":"2025-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12685852/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145727722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Termination of figure-of-eight reentry via resonant feedback pacing. 通过共振反馈起搏终止8字形再入。
IF 3 Pub Date : 2025-11-19 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1692372
Navneet Roshan, Rupamanjari Majumder

Sudden cardiac death (SCD) is often precipitated by reentrant arrhythmias such as ventricular tachycardia (VT) and ventricular fibrillation (VF), whose underlying dynamics are frequently sustained by spiral waves of electrical activity. Disrupting these waves can restore normal rhythm, but conventional low-energy pacing strategies are often ineffective in VF, where high-frequency, multi-wave interactions dominate. Resonant feedback-controlled antitachycardia pacing (rF-ATP), which times global electrical stimuli based on real-time feedback from the tissue, has been shown to robustly terminate single spirals under diverse conditions. However, its impact on interacting spiral waves-arguably a more realistic substrate for life-threatening arrhythmias-remains unexplored. Here, we use numerical simulations to investigate the effect of rF-ATP on figure-of-eight reentry, a clinically relevant configuration consisting of two counter-rotating spirals. We show that rF-ATP consistently terminates this pattern, regardless of feedback point location, through two distinct dynamical pathways: mutual collision of phase singularities or annihilation at inexcitable boundaries. We further demonstrate the method's efficacy across variations in feedback point and spiral arrangement, indicating robustness to geometrical and positional heterogeneity. These results highlight rF-ATP as a promising low-energy intervention for complex reentrant structures and provide mechanistic insight into feedback-driven control of multi-core spiral wave dynamics in cardiac tissue.

心源性猝死(SCD)通常是由室性心动过速(VT)和心室颤动(VF)等再入性心律失常引起的,其潜在的动力学通常由电活动的螺旋波维持。干扰这些波可以恢复正常的心律,但传统的低能量起搏策略在室频中往往无效,其中高频多波相互作用占主导地位。共振反馈控制的抗心动过速起搏(rF-ATP)是一种基于组织实时反馈的全局电刺激计时技术,已被证明可以在多种条件下稳定地终止单螺旋。然而,它对相互作用的螺旋波(可能是危及生命的心律失常的更现实的基质)的影响仍未被探索。在这里,我们使用数值模拟来研究rF-ATP对8字形再入的影响,8字形再入是由两个反向旋转的螺旋组成的临床相关构型。研究表明,无论反馈点的位置如何,rF-ATP始终通过两种不同的动力学途径终止这种模式:相位奇点的相互碰撞或在不可激发边界处的湮灭。我们进一步证明了该方法在反馈点和螺旋排列变化中的有效性,表明了对几何和位置异质性的鲁棒性。这些结果突出了rF-ATP作为一种有前途的低能量干预复杂的可重入结构,并为心脏组织中多核螺旋波动力学的反馈驱动控制提供了机制见解。
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引用次数: 0
Analysing complex excitation patterns in cardiac tissue using wave event networks. 用波事件网络分析心脏组织的复杂兴奋模式。
IF 3 Pub Date : 2025-11-18 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1674919
Hans Friedrich Von Koeller, Alexander Schlemmer, Stefan Luther, Yannic Döring, Niels Voigt, Ulrich Parlitz

Cardiac dynamics is governed by complex electrical wave patterns, with disruptions leading to pathological conditions like atrial or ventricular fibrillation. Experimentally electrical excitation waves can be made visible by optical mapping using fluorescent dyes. While this imaging technique has enabled detailed studies of cardiac wave dynamics, the manual analysis of activation and phase maps often limits the ability to systematically identify and quantify wave patterns. This study employs a wave tracking algorithm that constructs a graph-based representation of wave dynamics. With that the algorithm detects key events such as wave emergence, splitting, and merging. Applied to both simulated cardiac tissue and experimental data from cell cultures, the algorithm identifies and quantifies wave patterns as wave event networks. Initial results demonstrate its utility in filtering for and focusing on dominant dynamics, providing a robust tool for analyzing cardiac wave patterns. This approach offers potential applications, e.g., to study the effects of external stimuli on cardiac excitation patterns and to better understand the mechanisms involved.

心脏动力学是由复杂的电波模式控制的,干扰会导致心房或心室颤动等病理状况。实验上,电激发波可以通过使用荧光染料的光学映射而可见。虽然这种成像技术可以对心波动力学进行详细的研究,但人工分析激活和相位图往往限制了系统识别和量化心波模式的能力。本研究采用了一种波浪跟踪算法,该算法构建了基于图形的波浪动力学表示。该算法检测关键事件,如波的出现,分裂和合并。该算法应用于模拟心脏组织和细胞培养的实验数据,识别并量化波事件网络的波模式。初步结果表明,它在过滤和关注主导动力学方面的效用,为分析心波模式提供了一个强大的工具。这种方法提供了潜在的应用,例如,研究外部刺激对心脏兴奋模式的影响,并更好地了解所涉及的机制。
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引用次数: 0
Metastability in the mixing/demixing of two species with reciprocally concentration-dependent diffusivity. 具有浓度依赖扩散系数的两种物质混合/分离的亚稳态。
IF 3 Pub Date : 2025-11-17 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1612495
Alexander B Neiman, Xiaochen Dong, Benjamin Lindner

It has been shown before that two species of diffusing particles can separate from each other by the mechanism of reciprocally concentration-dependent diffusivity: the presence of one species amplifies the diffusion coefficient of the respective other one, causing the two densities of particles to separate spontaneously. In a minimal model, this could be observed with a quadratic dependence of the diffusion coefficient on the density of the other species. Here, we consider a more realistic sigmoidal dependence as a logistic function on the other particle's density averaged over a finite sensing radius. The sigmoidal dependence accounts for the saturation effects of the diffusion coefficients, which cannot grow without bounds. We show that sigmoidal (logistic) cross-diffusion leads to a new regime in which a homogeneous disordered (well-mixed) state and a spontaneously separated ordered (demixed) state coexist, forming two long-lived metastable configurations. In systems with a finite number of particles, random fluctuations induce repeated transitions between these two states. By tracking an order parameter that distinguishes mixed from demixed phases, we measure the corresponding mean residence in each state and demonstrate that one lifetime increases and the other decreases as the logistic coupling parameter is varied. The system thus displays typical features of a first-order phase transition, including hysteresis for large particle numbers. In addition, we compute the correlation time of the order parameter and show that it exhibits a pronounced maximum within the bistable parameter range, growing exponentially with the total particle number.

以前已经证明,两种扩散粒子可以通过浓度依赖的扩散系数相互分离:一种粒子的存在放大了另一种粒子的扩散系数,导致两种密度的粒子自发分离。在最小模型中,这可以用扩散系数对其他物种密度的二次依赖来观察。在这里,我们考虑一个更现实的s型依赖,作为一个逻辑函数对其他粒子的密度平均在有限的传感半径。s型依赖关系解释了扩散系数的饱和效应,扩散系数不能无界增长。我们证明了s型交叉扩散导致了一种新的状态,在这种状态下,均匀无序(良好混合)状态和自发分离的有序(去混合)状态共存,形成了两种长寿命的亚稳态构型。在粒子数量有限的系统中,随机波动会导致这两种状态之间的反复转变。通过跟踪区分混合相和非混合相的顺序参数,我们测量了每个状态下相应的平均驻留时间,并证明了随着逻辑耦合参数的变化,一个寿命增加,另一个寿命减少。因此,该系统显示了一阶相变的典型特征,包括大粒子数的滞后。此外,我们计算了序参量的相关时间,并表明它在双稳态参数范围内表现出明显的最大值,随着总粒子数的增加呈指数增长。
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引用次数: 0
The precision principle: driving biological self-organization. 精确原理:驱动生物自组织。
IF 3 Pub Date : 2025-11-12 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1678473
Raymond Roy, Kiranpreet Sidhu, Gabriel Byczynski, Amedeo D'Angiulli, Birgitta Dresp-Langley

In this perspective, we introduce the Precision Principle as a unifying theoretical framework to explain self-organization across biological systems. Drawing from neurobiology, systems theory, and computational modeling, we propose that precision, understood as constraint-driven coherence, is the key force shaping the architecture, function, and evolution of nervous systems. We identify three interrelated domains: Structural Precision (efficient, modular wiring), Functional Precision (adaptive, context-sensitive circuit deployment), and Evolutionary Precision (selection-guided architectural refinement). Each domain is grounded in local operations such as spatial and temporal averaging, multiplicative co-activation, and threshold gating, which enable biological systems to achieve robust organization without centralized control. Within this framework, we introduce the Precision Coefficient, P z = C z - α R z , which formalizes the balance between network coherence and resource cost and serves as a simple quantitative outline of the principle. Conceptually, this formalism aligns with established learning mechanisms: Hebbian reinforcement provides the local substrate for weight changes, while winner-take-all and k-winners competition selectively eliminates weaker synapses, together increasing C z and reducing redundancy within R z . Rather than framing the theory in opposition to existing models, we aim to establish the Precision Principle as an original, integrative lens for understanding how systems sustain efficiency, flexibility, and resilience. We hope the framework inspires new research into neural plasticity, development, and artificial systems, by centering internal coherence, not prediction or control, as the primary driver of self-organizing intelligence.

从这个角度来看,我们引入精确原理作为一个统一的理论框架来解释生物系统的自组织。从神经生物学、系统理论和计算建模中,我们提出精确度,理解为约束驱动的一致性,是塑造神经系统结构、功能和进化的关键力量。我们确定了三个相互关联的领域:结构精度(高效、模块化布线)、功能精度(自适应、上下文敏感的电路部署)和进化精度(选择引导的架构优化)。每个域都以局部操作为基础,如空间和时间平均、乘法共激活和阈值门控,这些操作使生物系统能够在没有集中控制的情况下实现健壮的组织。在此框架内,我们引入了精度系数P z = C z - α R z,它形式化了网络一致性和资源成本之间的平衡,并作为原理的简单定量轮廓。从概念上讲,这种形式主义与已建立的学习机制相一致:Hebbian强化为权重变化提供了局部基础,而赢家通吃和k-赢家竞争选择性地消除了较弱的突触,共同增加了cz并减少了rz内的冗余。我们的目标不是建立与现有模型相反的理论,而是将精确度原则作为理解系统如何保持效率、灵活性和弹性的原始的、综合的视角。我们希望通过将内部一致性(而不是预测或控制)作为自组织智能的主要驱动因素,该框架能够激发对神经可塑性、发育和人工系统的新研究。
{"title":"The precision principle: driving biological self-organization.","authors":"Raymond Roy, Kiranpreet Sidhu, Gabriel Byczynski, Amedeo D'Angiulli, Birgitta Dresp-Langley","doi":"10.3389/fnetp.2025.1678473","DOIUrl":"https://doi.org/10.3389/fnetp.2025.1678473","url":null,"abstract":"<p><p>In this perspective, we introduce the <i>Precision Principle</i> as a unifying theoretical framework to explain self-organization across biological systems. Drawing from neurobiology, systems theory, and computational modeling, we propose that precision, understood as constraint-driven coherence, is the key force shaping the architecture, function, and evolution of nervous systems. We identify three interrelated domains: Structural Precision (efficient, modular wiring), Functional Precision (adaptive, context-sensitive circuit deployment), and Evolutionary Precision (selection-guided architectural refinement). Each domain is grounded in local operations such as spatial and temporal averaging, multiplicative co-activation, and threshold gating, which enable biological systems to achieve robust organization without centralized control. Within this framework, we introduce the <i>Precision Coefficient</i>, <math><mrow><mi>P</mi> <mrow> <mfenced><mrow><mi>z</mi></mrow> </mfenced> </mrow> <mo>=</mo> <mi>C</mi> <mrow> <mfenced><mrow><mi>z</mi></mrow> </mfenced> </mrow> <mo>-</mo> <mi>α</mi> <mi>R</mi> <mrow> <mfenced><mrow><mi>z</mi></mrow> </mfenced> </mrow> </mrow> </math> , which formalizes the balance between network coherence and resource cost and serves as a simple quantitative outline of the principle. Conceptually, this formalism aligns with established learning mechanisms: Hebbian reinforcement provides the local substrate for weight changes, while winner-take-all and k-winners competition selectively eliminates weaker synapses, together increasing <math><mrow><mi>C</mi> <mrow> <mfenced><mrow><mi>z</mi></mrow> </mfenced> </mrow> </mrow> </math> and reducing redundancy within <math><mrow><mi>R</mi> <mrow> <mfenced><mrow><mi>z</mi></mrow> </mfenced> </mrow> </mrow> </math> . Rather than framing the theory in opposition to existing models, we aim to establish the <i>Precision Principle</i> as an original, integrative lens for understanding how systems sustain efficiency, flexibility, and resilience. We hope the framework inspires new research into neural plasticity, development, and artificial systems, by centering internal coherence, not prediction or control, as the primary driver of self-organizing intelligence.</p>","PeriodicalId":73092,"journal":{"name":"Frontiers in network physiology","volume":"5 ","pages":"1678473"},"PeriodicalIF":3.0,"publicationDate":"2025-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC12647112/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145643724","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Case Report: network physiology markers of inter-muscular interactions indicate reversal of age decline with exercise training. 病例报告:肌肉间相互作用的网络生理标记表明运动训练可以逆转年龄下降。
IF 3 Pub Date : 2025-11-07 eCollection Date: 2025-01-01 DOI: 10.3389/fnetp.2025.1686723
Sergi Garcia-Retortillo, Óscar Abenza, Ladda Thiamwong, Rui Xie, Michelle Gordon, Plamen Ch Ivanov, Tina E Brinkley

Aging is associated with a decline in inter-muscular coordination and overall functional capacity. While the benefits of exercise on individual physiological systems are well established, it remains unclear whether regular training can also enhance inter-muscular network interactions and counteract age-related decline. Using a Network Physiology approach, this Case Report investigates the effects of a home-based exercise program on inter-muscular coordination in two older adults. Two older adults (aged 69 and 73) completed a 12-week program that included twice-weekly virtual group sessions, and one weekly session of moderate-intensity aerobic exercise (30 min). Before and after the intervention, participants underwent a maximal cardiopulmonary exercise test (CPET) on a motorized treadmill. During the CPET, surface electromyography (EMG) was recorded from the left and right rectus femoris and biceps femoris. Inter-muscular coordination was quantified using the Amplitude-Amplitude Cross-Frequency Coupling (ACFC) method. Ten time series of EMG band power were extracted for each muscle, representing distinct neuromuscular processes. Pearson's cross-correlation was then computed for each pair of EMG band power time series across all muscles. Pre-Intervention, both participants showed low overall link strength across all sub-networks. Post-Intervention, there was a pronounced (∼400%) increase in average link strength across all sub-networks in both participants, primarily reflecting enhanced synchronization between distinct frequency bands across the rectus femoris and biceps femoris. These preliminary findings suggest that structured exercise may enhance inter-muscular network coordination in older adults. ACFC-derived network measures offer a promising tool for detecting early age-related decline and evaluating neuromuscular adaptations to exercise interventions.

衰老与肌肉间协调能力和整体功能能力的下降有关。虽然运动对个人生理系统的好处已经得到了很好的证实,但定期训练是否也能增强肌肉间网络的相互作用,并抵消与年龄相关的衰退,目前还不清楚。使用网络生理学方法,本病例报告调查了两名老年人的家庭运动计划对肌肉间协调的影响。两名年龄分别为69岁和73岁的老年人完成了一项为期12周的计划,其中包括每周两次的虚拟小组会议和每周一次的中等强度有氧运动(30分钟)。在干预前后,参与者在电动跑步机上进行了最大心肺运动测试(CPET)。在CPET期间,从左右股直肌和股二头肌记录表面肌电图(EMG)。肌间协调性采用幅幅交叉频率耦合(ACFC)方法进行量化。每个肌肉提取10个时间序列的肌电带功率,代表不同的神经肌肉过程。然后计算所有肌肉的每对肌电带功率时间序列的Pearson互相关。干预前,两个参与者在所有子网络中都表现出较低的整体链接强度。干预后,两名参与者所有子网络的平均连接强度显著(~ 400%)增加,主要反映了股直肌和股二头肌不同频段之间的同步增强。这些初步发现表明,有组织的锻炼可以增强老年人肌肉间网络的协调。acfc衍生的网络测量为检测早期年龄相关的衰退和评估神经肌肉对运动干预的适应性提供了一个有前途的工具。
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Frontiers in network physiology
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