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Spatial distribution of heterogeneity as a modulator of collective dynamics in pancreatic beta-cell networks and beyond. 异质性的空间分布作为胰腺β细胞网络及其他集体动力学的调制器。
Pub Date : 2023-03-24 DOI: 10.3389/fnetp.2023.1170930
Daniel Galvis, David J Hodson, Kyle C A Wedgwood

We study the impact of spatial distribution of heterogeneity on collective dynamics in gap-junction coupled beta-cell networks comprised on cells from two populations that differ in their intrinsic excitability. Initially, these populations are uniformly and randomly distributed throughout the networks. We develop and apply an iterative algorithm for perturbing the arrangement of the network such that cells from the same population are increasingly likely to be adjacent to one another. We find that the global input strength, or network drive, necessary to transition the network from a state of quiescence to a state of synchronised and oscillatory activity decreases as network sortedness increases. Moreover, for weak coupling, we find that regimes of partial synchronisation and wave propagation arise, which depend both on network drive and network sortedness. We then demonstrate the utility of this algorithm for studying the distribution of heterogeneity in general networks, for which we use Watts-Strogatz networks as a case study. This work highlights the importance of heterogeneity in node dynamics in establishing collective rhythms in complex, excitable networks and has implications for a wide range of real-world systems that exhibit such heterogeneity.

我们研究了异质性的空间分布对由两个不同内在兴奋性的细胞组成的间隙结偶联β细胞网络的集体动力学的影响。最初,这些种群均匀随机地分布在整个网络中。我们开发并应用了一种迭代算法来干扰网络的排列,使得来自同一种群的细胞越来越有可能彼此相邻。我们发现,随着网络排序的增加,将网络从静止状态过渡到同步和振荡活动状态所必需的全局输入强度或网络驱动会减少。此外,对于弱耦合,我们发现部分同步和波传播机制出现,这取决于网络驱动和网络排序。然后,我们用Watts-Strogatz网络作为案例研究,展示了该算法在研究一般网络中异质性分布方面的效用。这项工作强调了在复杂的、可兴奋的网络中建立集体节律的节点动力学异质性的重要性,并对表现出这种异质性的广泛的现实世界系统具有启示意义。
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引用次数: 1
Sleep staging in the ICU with heart rate variability and breathing signals. An exploratory cross-sectional study using deep neural networks. 利用心率变异性和呼吸信号对重症监护室进行睡眠分期。利用深度神经网络进行的探索性横断面研究。
Pub Date : 2023-02-27 eCollection Date: 2023-01-01 DOI: 10.3389/fnetp.2023.1120390
Wolfgang Ganglberger, Parimala Velpula Krishnamurthy, Syed A Quadri, Ryan A Tesh, Abigail A Bucklin, Noor Adra, Madalena Da Silva Cardoso, Michael J Leone, Aashritha Hemmige, Subapriya Rajan, Ezhil Panneerselvam, Luis Paixao, Jasmine Higgins, Muhammad Abubakar Ayub, Yu-Ping Shao, Brian Coughlin, Haoqi Sun, Elissa M Ye, Sydney S Cash, B Taylor Thompson, Oluwaseun Akeju, David Kuller, Robert J Thomas, M Brandon Westover

Introduction: To measure sleep in the intensive care unit (ICU), full polysomnography is impractical, while activity monitoring and subjective assessments are severely confounded. However, sleep is an intensely networked state, and reflected in numerous signals. Here, we explore the feasibility of estimating conventional sleep indices in the ICU with heart rate variability (HRV) and respiration signals using artificial intelligence methods Methods: We used deep learning models to stage sleep with HRV (through electrocardiogram) and respiratory effort (through a wearable belt) signals in critically ill adult patients admitted to surgical and medical ICUs, and in age and sex-matched sleep laboratory patients Results: We studied 102 adult patients in the ICU across multiple days and nights, and 220 patients in a clinical sleep laboratory. We found that sleep stages predicted by HRV- and breathing-based models showed agreement in 60% of the ICU data and in 81% of the sleep laboratory data. In the ICU, deep NREM (N2 + N3) proportion of total sleep duration was reduced (ICU 39%, sleep laboratory 57%, p < 0.01), REM proportion showed heavy-tailed distribution, and the number of wake transitions per hour of sleep (median 3.6) was comparable to sleep laboratory patients with sleep-disordered breathing (median 3.9). Sleep in the ICU was also fragmented, with 38% of sleep occurring during daytime hours. Finally, patients in the ICU showed faster and less variable breathing patterns compared to sleep laboratory patients Conclusion: The cardiovascular and respiratory networks encode sleep state information, which, together with artificial intelligence methods, can be utilized to measure sleep state in the ICU.

简介要测量重症监护室(ICU)中的睡眠情况,全面的多导睡眠监测是不切实际的,同时活动监测和主观评估也会受到严重干扰。然而,睡眠是一种高度网络化的状态,反映在众多信号中。在此,我们探讨了利用人工智能方法通过心率变异性(HRV)和呼吸信号估算重症监护室常规睡眠指数的可行性:我们使用深度学习模型,利用心率变异(通过心电图)和呼吸努力(通过可穿戴腰带)信号对外科和内科重症监护室的成年重症患者以及年龄和性别匹配的睡眠实验室患者的睡眠进行分期:我们对重症监护室的 102 名成年患者和临床睡眠实验室的 220 名患者进行了多天多夜的研究。我们发现,在 60% 的重症监护室数据和 81% 的睡眠实验室数据中,心率变异模型和呼吸模型预测的睡眠阶段显示出一致性。在重症监护室,深部 NREM(N2 + N3)占总睡眠时间的比例降低(重症监护室为 39%,睡眠实验室为 57%,P < 0.01),REM 比例呈重尾分布,每小时睡眠的觉醒转换次数(中位数为 3.6)与睡眠实验室的睡眠呼吸紊乱患者(中位数为 3.9)相当。重症监护室的睡眠也很零碎,38%的睡眠发生在白天。最后,与睡眠实验室患者相比,重症监护室患者的呼吸模式变化更快、更少:心血管和呼吸网络编码睡眠状态信息,结合人工智能方法,可用于测量重症监护室的睡眠状态。
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引用次数: 0
Measuring pain and nociception: Through the glasses of a computational scientist. Transdisciplinary overview of methods. 测量疼痛和伤害感:通过计算科学家的眼镜。方法的跨学科概述。
Pub Date : 2023-02-10 eCollection Date: 2023-01-01 DOI: 10.3389/fnetp.2023.1099282
Ekaterina Kutafina, Susanne Becker, Barbara Namer

In a healthy state, pain plays an important role in natural biofeedback loops and helps to detect and prevent potentially harmful stimuli and situations. However, pain can become chronic and as such a pathological condition, losing its informative and adaptive function. Efficient pain treatment remains a largely unmet clinical need. One promising route to improve the characterization of pain, and with that the potential for more effective pain therapies, is the integration of different data modalities through cutting edge computational methods. Using these methods, multiscale, complex, and network models of pain signaling can be created and utilized for the benefit of patients. Such models require collaborative work of experts from different research domains such as medicine, biology, physiology, psychology as well as mathematics and data science. Efficient work of collaborative teams requires developing of a common language and common level of understanding as a prerequisite. One of ways to meet this need is to provide easy to comprehend overviews of certain topics within the pain research domain. Here, we propose such an overview on the topic of pain assessment in humans for computational researchers. Quantifications related to pain are necessary for building computational models. However, as defined by the International Association of the Study of Pain (IASP), pain is a sensory and emotional experience and thus, it cannot be measured and quantified objectively. This results in a need for clear distinctions between nociception, pain and correlates of pain. Therefore, here we review methods to assess pain as a percept and nociception as a biological basis for this percept in humans, with the goal of creating a roadmap of modelling options.

在健康状态下,疼痛在自然生物反馈回路中发挥着重要作用,有助于检测和预防潜在的有害刺激和情况。然而,疼痛可以成为慢性的,并作为一种病理状态,失去其信息和适应功能。有效的疼痛治疗仍然是一个很大程度上未得到满足的临床需求。一个有希望改善疼痛特征的途径,以及更有效的疼痛治疗的潜力,是通过尖端的计算方法整合不同的数据模式。使用这些方法,可以创建和利用疼痛信号的多尺度、复杂和网络模型,以造福患者。这些模型需要来自医学、生物学、生理学、心理学以及数学和数据科学等不同研究领域的专家进行合作。协作团队的高效工作需要发展共同的语言和共同的理解水平作为先决条件。满足这一需求的方法之一是提供疼痛研究领域内某些主题的易于理解的概述。在这里,我们为计算研究人员提出了一个关于人类疼痛评估主题的概述。与疼痛相关的量化对于建立计算模型是必要的。然而,正如国际疼痛研究协会(IASP)所定义的那样,疼痛是一种感官和情感体验,因此无法客观地测量和量化。这就需要明确区分伤害感受、疼痛和疼痛相关因素。因此,在这里,我们回顾了将疼痛作为一种感知进行评估的方法,并将伤害感知作为人类这种感知的生物学基础,目的是创建建模选项的路线图。
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引用次数: 0
A Network approach to find poor orthostatic tolerance by simple tilt maneuvers. 通过简单的倾斜动作发现正静态耐受性差的网络方法。
Pub Date : 2023-02-06 eCollection Date: 2023-01-01 DOI: 10.3389/fnetp.2023.1125023
John M Karemaker

The approach introduced by Network Physiology intends to find and quantify connectedness between close- and far related aspects of a person's Physiome. In this study I applied a Network-inspired analysis to a set of measurement data that had been assembled to detect prospective orthostatic intolerant subjects among people who were destined to go into Space for a two weeks mission. The advantage of this approach being that it is essentially model-free: no complex physiological model is required to interpret the data. This type of analysis is essentially applicable to many datasets where individuals must be found that "stand out from the crowd". The dataset consists of physiological variables measured in 22 participants (4f/18 m; 12 prospective astronauts/cosmonauts, 10 healthy controls), in supine, + 30° and + 70° upright tilted positions. Steady state values of finger blood pressure and derived thereof: mean arterial pressure, heart rate, stroke volume, cardiac output, systemic vascular resistance; middle cerebral artery blood flow velocity and end-tidal pCO2 in tilted position were (%)-normalized for each participant to the supine position. This yielded averaged responses for each variable, with statistical spread. All variables i.e., the "average person's response" and a set of %-values defining each participant are presented as radar plots to make each ensemble transparent. Multivariate analysis for all values resulted in obvious dependencies and some unexpected ones. Most interesting is how individual participants maintained their blood pressure and brain blood flow. In fact, 13/22 participants had all normalized Δ-values (i.e., the deviation from the group average, normalized for the standard deviation), both for +30° and +70°, within the 95% range. The remaining group demonstrated miscellaneous response patterns, with one or more larger Δ-values, however of no consequence for orthostasis. The values from one prospective cosmonaut stood out as suspect. However, early morning standing blood pressure within 12 h after return to Earth (without volume repletion) demonstrated no syncope. This study demonstrates an integrative way to model-free assess a large dataset, applying multivariate analysis and common sense derived from textbook physiology.

网络生理学(Network Physiology)引入的方法旨在发现和量化人的生理组中远近相关方面之间的联系。在这项研究中,我将受网络启发的分析方法应用到一组测量数据中,这组数据是为了在即将进入太空执行两周任务的人中发现潜在的正压不耐受受试者。这种方法的优点是基本上不需要模型:不需要复杂的生理模型来解释数据。这种类型的分析基本上适用于许多必须找到 "脱颖而出 "的个体的数据集。数据集包括在仰卧、+ 30°和+ 70°直立倾斜姿势下测量的 22 名参与者(4f/18m;12 名准宇航员/宇航员,10 名健康对照组)的生理变量。每位参与者在倾斜姿势下的手指血压稳态值及其衍生值:平均动脉压、心率、每搏量、心输出量、全身血管阻力;大脑中动脉血流速度和潮气末二氧化碳浓度均(%)归一化为仰卧姿势。这样就得出了每个变量的平均响应,并进行了统计传播。所有变量,即 "平均人的反应 "和一组定义每个参与者的百分比值,都以雷达图的形式呈现,使每个集合都很透明。对所有数值进行多元分析后,得出了明显的相关性和一些意想不到的相关性。最有趣的是个别参与者是如何保持血压和脑血流量的。事实上,有 13/22 名参与者的所有归一化 Δ 值(即与组平均值的偏差,按标准偏差归一化),无论是 +30° 还是 +70°,都在 95% 的范围内。剩下的一组则表现出不同的反应模式,有一个或多个较大的Δ值,但对正位没有影响。一名未来宇航员的数值值得怀疑。然而,返回地球后 12 小时内的清晨站立血压(未补充血容量)显示没有晕厥。这项研究展示了一种综合方法,通过应用多变量分析和生理学教科书中的常识,对大型数据集进行无模型评估。
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引用次数: 0
Predicting alveolar ventilation heterogeneity in pulmonary fibrosis using a non-uniform polyhedral spring network model. 利用非均匀多面体弹簧网络模型预测肺纤维化的肺泡通气异质性
Pub Date : 2023-02-01 eCollection Date: 2023-01-01 DOI: 10.3389/fnetp.2023.1124223
Joseph K Hall, Jason H T Bates, Dylan T Casey, Erzsébet Bartolák-Suki, Kenneth R Lutchen, Béla Suki

Pulmonary Fibrosis (PF) is a deadly disease that has limited treatment options and is caused by excessive deposition and cross-linking of collagen leading to stiffening of the lung parenchyma. The link between lung structure and function in PF remains poorly understood, although its spatially heterogeneous nature has important implications for alveolar ventilation. Computational models of lung parenchyma utilize uniform arrays of space-filling shapes to represent individual alveoli, but have inherent anisotropy, whereas actual lung tissue is isotropic on average. We developed a novel Voronoi-based 3D spring network model of the lung parenchyma, the Amorphous Network, that exhibits more 2D and 3D similarity to lung geometry than regular polyhedral networks. In contrast to regular networks that show anisotropic force transmission, the structural randomness in the Amorphous Network dissipates this anisotropy with important implications for mechanotransduction. We then added agents to the network that were allowed to carry out a random walk to mimic the migratory behavior of fibroblasts. To model progressive fibrosis, agents were moved around the network and increased the stiffness of springs along their path. Agents migrated at various path lengths until a certain percentage of the network was stiffened. Alveolar ventilation heterogeneity increased with both percent of the network stiffened, and walk length of the agents, until the percolation threshold was reached. The bulk modulus of the network also increased with both percent of network stiffened and path length. This model thus represents a step forward in the creation of physiologically accurate computational models of lung tissue disease.

肺纤维化(PF)是一种致命的疾病,治疗方法有限,其原因是胶原蛋白过度沉积和交联导致肺实质变硬。尽管肺纤维化的空间异质性对肺泡通气有重要影响,但人们对肺纤维化中肺部结构和功能之间的联系仍然知之甚少。肺实质的计算模型利用空间填充形状的均匀阵列来表示单个肺泡,但具有固有的各向异性,而实际肺组织平均是各向同性的。我们开发了一种基于 Voronoi 的新型肺实质三维弹簧网络模型--无定形网络,与常规多面体网络相比,它在二维和三维上与肺的几何形状更为相似。与显示各向异性力传导的常规网络不同,无定形网络的结构随机性消散了这种各向异性,对机械传导产生了重要影响。然后,我们在网络中加入了可进行随机行走的物质,以模拟成纤维细胞的迁移行为。为了模拟渐进性纤维化,我们在网络中移动药剂,并增加其路径上弹簧的硬度。试剂以不同的路径长度迁移,直到网络中一定比例的区域变得僵硬为止。肺泡通气异质性随着网络僵化百分比和探针移动长度的增加而增加,直至达到渗滤阈值。网络的体积模量也随着网络硬化百分比和路径长度的增加而增加。因此,该模型代表着在创建肺组织疾病生理学精确计算模型方面向前迈进了一步。
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引用次数: 0
The role of pulse timing in cardiac defibrillation. 脉冲定时在心脏除颤中的作用。
Pub Date : 2023-01-04 eCollection Date: 2022-01-01 DOI: 10.3389/fnetp.2022.1007585
Joshua Steyer, Thomas Lilienkamp, Stefan Luther, Ulrich Parlitz

Life-threatening cardiac arrhythmias require immediate defibrillation. For state-of-the-art shock treatments, a high field strength is required to achieve a sufficient success rate for terminating the complex spiral wave (rotor) dynamics underlying cardiac fibrillation. However, such high energy shocks have many adverse side effects due to the large electric currents applied. In this study, we show, using 2D simulations based on the Fenton-Karma model, that also pulses of relatively low energy may terminate the chaotic activity if applied at the right moment in time. In our simplified model for defibrillation, complex spiral waves are terminated by local perturbations corresponding to conductance heterogeneities acting as virtual electrodes in the presence of an external electric field. We demonstrate that time series of the success rate for low energy shocks exhibit pronounced peaks which correspond to short intervals in time during which perturbations aiming at terminating the chaotic fibrillation state are (much) more successful. Thus, the low energy shock regime, although yielding very low temporal average success rates, exhibits moments in time for which success rates are significantly higher than the average value shown in dose-response curves. This feature might be exploited in future defibrillation protocols for achieving high termination success rates with low or medium pulse energies.

危及生命的心律失常需要立即除颤。对于最先进的电击治疗,需要高电场强度才能达到足够的成功率,以终止心颤背后复杂的螺旋波(转子)动力学。然而,这种高能量电击会因施加的大电流而产生许多不良副作用。在本研究中,我们使用基于芬顿-卡尔马模型的二维模拟显示,如果在适当的时机使用能量相对较低的脉冲,也可以终止混沌活动。在我们简化的除颤模型中,复杂的螺旋波是由局部扰动终止的,这种局部扰动与在外部电场作用下作为虚拟电极的传导异质性相对应。我们证明,低能量电击成功率的时间序列表现出明显的峰值,这些峰值与旨在终止混沌纤颤状态的扰动(更)成功的短时间间隔相对应。因此,低能量冲击机制虽然产生的时间平均成功率很低,但在某些时间段,成功率明显高于剂量-反应曲线显示的平均值。未来的除颤方案可能会利用这一特点,用低或中等脉冲能量实现较高的终止成功率。
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引用次数: 0
On the significance of estimating cardiorespiratory coupling strength in sports medicine. 运动医学中估算心肺耦合强度的意义。
Pub Date : 2023-01-04 eCollection Date: 2022-01-01 DOI: 10.3389/fnetp.2022.1114733
Raphael Martins de Abreu, Beatrice Cairo, Alberto Porta

The estimation of cardiorespiratory coupling (CRC) is attracting interest in sports physiology as an important tool to characterize cardiac neural regulation genuinely driven by respiration. When applied in sports medicine, cardiorespiratory coupling measurements can provide information on the effects of training, pre-competition stress, as well as cardiovascular adjustments during stressful stimuli. Furthermore, since the cardiorespiratory coupling is strongly affected by physical activity, the study of the cardiorespiratory coupling can guide the application of specific training methods to optimize the coupling between autonomic activity and heart with possible effects on performance. However, a consensus about the physiological mechanisms, as well as methodological gold standard methods to quantify the cardiorespiratory coupling, has not been reached yet, thus limiting its application in experimental settings. This review supports the relevance of assessing cardiorespiratory coupling in the sports medicine, examines the possible physiological mechanisms involved, and lists a series of methodological approaches. cardiorespiratory coupling strength seems to be increased in athletes when compared to sedentary subjects, in addition to being associated with positive physiological outcomes, such as a possible better interaction of neural subsystems to cope with stressful stimuli. Moreover, cardiorespiratory coupling seems to be influenced by specific training modalities, such as inspiratory muscle training. However, the impact of cardiorespiratory coupling on sports performance still needs to be better explored through ad hoc physical exercise tests and protocols. In addition, this review stresses that several bivariate and multivariate methods have been proposed to assess cardiorespiratory coupling, thus opening new possibilities in estimating cardiorespiratory interactions in athletes.

心肺耦合(CRC)作为描述真正由呼吸驱动的心脏神经调节的重要工具,正在引起运动生理学的兴趣。应用于运动医学时,心肺耦合测量可提供有关训练效果、赛前压力以及压力刺激时心血管调节的信息。此外,由于心肺耦合受体力活动的影响很大,对心肺耦合的研究可以指导应用特定的训练方法,优化自律神经活动与心脏之间的耦合,从而对运动表现产生可能的影响。然而,人们尚未就心肺耦合的生理机制以及量化心肺耦合的金标准方法达成共识,因此限制了心肺耦合在实验环境中的应用。这篇综述支持在运动医学中评估心肺耦合的相关性,研究了其中可能涉及的生理机制,并列出了一系列方法学方法。与久坐不动的受试者相比,运动员的心肺耦合强度似乎有所提高,此外,心肺耦合还与积极的生理结果有关,如神经子系统可能更好地相互作用,以应对压力刺激。此外,心肺耦合似乎会受到特定训练模式的影响,如吸气肌训练。然而,心肺耦合对运动表现的影响仍需通过专门的体育锻炼测试和方案进行更好的探索。此外,本综述还强调,已经提出了几种双变量和多变量方法来评估心肺耦合,从而为估计运动员的心肺相互作用提供了新的可能性。
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引用次数: 0
Editorial: The effect of heterogeneity of the network of alveolar wall tissue on airflow, interstitial flow and lung biology. 肺泡壁组织网络的异质性对气流、间质流动和肺生物学的影响。
Pub Date : 2023-01-01 DOI: 10.3389/fnetp.2023.1272172
Akira Tsuda, Frank S Henry
Over inhalation, oxygen-rich air is drawn into the alveolar cavity by the expansion of the alveolar volume. The volume expansion results in an increase in the alveolar surface area. Because septal tissue is essentially incompressible, stretching of the alveolar surface area results in a thinning of the alveolar wall thickness. The reverse process happens over exhalation; that is, the surface area decreases and the wall thickness increases. The cyclic motion of the alveolar walls plays an important role in influencing the motion of fluid in the interstitial space (i.e., the space between the alveolar epithelium and vascular endothelium). The capillary network surrounding the alveoli is extensive but it does not provide a continuous, uniform, layer. Hence, the thickness and mechanical properties of the alveolar walls are not uniform. On the thin side (Figure 1), the epithelium and endothelium share one common basal lamina. This structural arrangement maximizes gas diffusion, and helps prevent fluid accumulation. On the thick side (Figure 1), extracellular matrix structurally stabilizes the septa, contributing to the mechanical properties of the alveolar walls. Dickie et al. (2007), Dickie et al. (2009) and Tsuda et al. (2019) showed that the structure of the alveolar wall changes over time. Specifically, they found that the alveolar barrier of developing lungs is more easily compromised and susceptible to foreign material influx than that of adult lungs. Interstitial fluid delivers nutrients and oxygen to cells and transports organic wastes, damaged cells, and foreign invaders (nano particles, bacteria, viruses, etc.) from the interstitial space (Choi et al., 2010). Fluid enters the interstitium from the capillaries at the arterial end of the capillary bed and leaves at the venous end. The pressure gradient driving this flow varies along the interstitium, and is a combination of hydrostatic and plasma oncotic pressure between the capillaries and the interstitium. Albumin is responsible for the majority the plasma oncotic pressure (Waddell, 2009). The variation of flow along the interstitium provides another element to the heterogeneity in the alveolar wall. Another source of heterogeneity in the alveolar wall is that the alveolar epithelium is composed of flat and thin Type I pneumocytes, and cuboidal Type II pneumocytes (Figure 1). The former covers most of the alveolar surface and is ideal for gas exchange and the latter plays a crucial role in producing and secreting pulmonary surfactant, which OPEN ACCESS
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引用次数: 0
DFA as a window into postural dynamics supporting task performance: does choice of step size matter? DFA作为支持任务表现的姿势动力学的窗口:步长选择重要吗?
Pub Date : 2023-01-01 DOI: 10.3389/fnetp.2023.1233894
Patric C Nordbeck, Valéria Andrade, Paula L Silva, Nikita A Kuznetsov

Introduction: Detrended Fluctuation Analysis (DFA) has been used to investigate self-similarity in center of pressure (CoP) time series. For fractional gaussian noise (fGn) signals, the analysis returns a scaling exponent, DFA-α, whose value characterizes the temporal correlations as persistent, random, or anti-persistent. In the study of postural control, DFA has revealed two time scaling regions, one at the short-term and one at the long-term scaling regions in the diffusion plots, suggesting different types of postural dynamics. Much attention has been given to the selection of minimum and maximum scales, but the choice of spacing (step size) between the window sizes at which the fluctuation function is evaluated may also affect the estimates of scaling exponents. The aim of this study is twofold. First, to determine whether DFA can reveal postural adjustments supporting performance of an upper limb task under variable demands. Second, to compare evenly-spaced DFA with two different step sizes, 0.5 and 1.0 in log2 units, applied to CoP time series. Methods: We analyzed time series of anterior-posterior (AP) and medial-lateral (ML) CoP displacement from healthy participants performing a sequential upper limb task under variable demand. Results: DFA diffusion plots revealed two scaling regions in the AP and ML CoP time series. The short-term scaling region generally showed hyper-diffusive dynamics and long-term scaling revealed mildly persistent dynamics in the ML direction and random-like dynamics in the AP direction. There was a systematic tendency for higher estimates of DFA-α and lower estimates for crossover points for the 0.5-unit step size vs. 1.0-unit size. Discussion: Results provide evidence that DFA-α captures task-related differences between postural adjustments in the AP and ML directions. Results also showed that DFA-α estimates and crossover points are sensitive to step size. A step size of 0.5 led to less variable DFA-α for the long-term scaling region, higher estimation for the short-term scaling region, lower estimate for crossover points, and revealed anomalous estimates at the very short range that had implications for choice of minimum window size. We, therefore, recommend the use of 0.5 step size in evenly spaced DFAs for CoP time series similar to ours.

摘要采用去趋势波动分析(DFA)对压力中心(CoP)时间序列的自相似性进行了研究。对于分数高斯噪声(fGn)信号,分析返回缩放指数DFA-α,其值表征时间相关性为持久、随机或反持久。在姿势控制的研究中,DFA在扩散图中显示了两个时间标度区域,一个在短期标度区域,一个在长期标度区域,表明不同类型的姿势动力学。对于最小和最大尺度的选择已经给予了大量的关注,但是在评估波动函数的窗口大小之间的间隔(步长)的选择也可能影响缩放指数的估计。这项研究的目的是双重的。首先,确定DFA是否可以揭示在可变需求下上肢任务的姿势调整支持性能。其次,比较两种不同步长(log2单位为0.5和1.0)的均匀间隔DFA应用于CoP时间序列。方法:我们分析了健康参与者在可变需求下执行顺序上肢任务的前后(AP)和中外侧(ML) CoP位移的时间序列。结果:DFA扩散图显示AP和ML CoP时间序列有两个标度区。短期标度区普遍表现为超弥漫性动态,长期标度区表现为轻度持续的ML方向动态和随机的AP方向动态。与1.0单位步长相比,0.5单位步长有较高的DFA-α估计值和较低的交叉点估计值的系统趋势。讨论:结果提供了证据,DFA-α捕获了AP和ML方向的姿势调整之间的任务相关差异。结果还表明,DFA-α估计和交叉点对步长很敏感。步长为0.5导致长期标度区域的DFA-α变量较小,短期标度区域的估计值较高,交叉点的估计值较低,并且在非常短的范围内揭示了异常估计值,这对最小窗口大小的选择有影响。因此,我们建议在类似于我们的CoP时间序列的等间隔dfa中使用0.5步长。
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引用次数: 0
Assessing cardiorespiratory interactions via lagged joint symbolic dynamics during spontaneous and controlled breathing. 通过滞后关节符号动力学评估自主呼吸和控制呼吸期间的心肺相互作用。
Pub Date : 2023-01-01 DOI: 10.3389/fnetp.2023.1211848
Beatrice Cairo, Vlasta Bari, Francesca Gelpi, Beatrice De Maria, Alberto Porta

Introduction: Joint symbolic analysis (JSA) can be utilized to describe interactions between time series while accounting for time scales and nonlinear features. JSA is based on the computation of the rate of occurrence of joint patterns built after symbolization. Lagged JSA (LJSA) is obtained from the more classical JSA by introducing a delay/lead between patterns built over the two series and combined to form the joint scheme, thus monitoring coordinated patterns at different lags. Methods: In the present study, we applied LJSA for the assessment of cardiorespiratory coupling (CRC) from heart period (HP) variability and respiratory activity (R) in 19 healthy subjects (age: 27-35 years; 8 males, 11 females) during spontaneous breathing (SB) and controlled breathing (CB). The R rate of CB was selected to be indistinguishable from that of SB, namely, 15 breaths·minute-1 (CB15), or slower than SB, namely, 10 breaths·minute-1 (CB10), but in both cases, very rapid interactions between heart rate and R were known to be present. The ability of the LJSA approach to follow variations of the coupling strength was tested over a unidirectionally or bidirectionally coupled stochastic process and using surrogate data to test the null hypothesis of uncoupling. Results: We found that: i) the analysis of surrogate data proved that HP and R were significantly coupled in any experimental condition, and coupling was not more likely to occur at a specific time lag; ii) CB10 reduced CRC strength at the fastest time scales while increasing that at intermediate time scales, thus leaving the overall CRC strength unvaried; iii) despite exhibiting similar R rates and respiratory sinus arrhythmia, SB and CB15 induced different cardiorespiratory interactions; iv) no dominant temporal scheme was observed with relevant contributions of HP patterns either leading or lagging R. Discussion: LJSA is a useful methodology to explore HP-R dynamic interactions while accounting for time shifts and scales.

联合符号分析(JSA)可以用来描述时间序列之间的相互作用,同时考虑时间尺度和非线性特征。JSA是基于符号化后建立的关节模式出现率的计算。滞后JSA (LJSA)是从更经典的JSA中获得的,通过在两个系列上构建的模式之间引入延迟/超前,并组合成联合方案,从而在不同滞后的情况下监视协调模式。方法:在本研究中,我们应用LJSA从心期(HP)变异性和呼吸活动(R)评估19名健康受试者(年龄:27-35岁;自发呼吸(SB)和控制呼吸(CB)时,男性8例,女性11例。选择CB的R率与SB的R率难以区分,即15次呼吸·分钟-1 (CB15),或比SB慢,即10次呼吸·分钟-1 (CB10),但在这两种情况下,心率和R之间都存在非常快速的相互作用。LJSA方法跟踪耦合强度变化的能力在单向或双向耦合随机过程中进行了测试,并使用替代数据来检验不耦合的零假设。结果:我们发现:i)对替代数据的分析证明HP和R在任何实验条件下都是显著耦合的,并且在特定的时间滞后下不会更容易发生耦合;ii) CB10在最快时间尺度上降低了CRC强度,而在中间时间尺度上增加了CRC强度,从而使CRC整体强度保持不变;iii)尽管表现出相似的R率和呼吸性窦性心律失常,但SB和CB15诱导的心肺相互作用不同;讨论:LJSA是一种有用的方法,可以在考虑时移和尺度的情况下,探索HP- r动态相互作用。
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引用次数: 0
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Frontiers in network physiology
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