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First-order ultrasensitivity in phosphorylation cycles. 磷酸化循环中的一阶超灵敏度
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-02-09 eCollection Date: 2024-02-15 DOI: 10.1098/rsfs.2023.0045
Michael A Kochen, Joseph L Hellerstein, Herbert M Sauro

Cellular signal transduction takes place through a network of phosphorylation cycles. These pathways take the form of a multi-layered cascade of cycles. This work focuses on the sensitivity of single, double and n length cycles. Cycles that operate in the zero-order regime can become sensitive to changes in signal, resulting in zero-order ultrasensitivity (ZOU). Using frequency analysis, we confirm previous efforts that cascades can act as noise filters by computing the bandwidth. We show that n length cycles display what we term first-order ultrasensitivity which occurs even when the cycles are not operating in the zero-order regime. The magnitude of the sensitivity, however, has an upper bound equal to the number of cycles. It is known that ZOU can be significantly reduced in the presence of retroactivity. We show that the first-order ultrasensitivity is immune to retroactivity and that the ZOU and first-order ultrasensitivity can be blended to create systems with constant sensitivity over a wider range of signal. We show that the ZOU in a double cycle is only modestly higher compared with a single cycle. We therefore speculate that the double cycle has evolved to enable amplification even in the face of retroactivity.

细胞信号传导是通过磷酸化循环网络进行的。这些途径以多层级联循环的形式出现。这项工作的重点是单长、双长和 n 长循环的敏感性。在零阶机制下运行的循环会对信号的变化变得敏感,从而产生零阶超灵敏度(ZOU)。通过频率分析,我们证实了之前的研究成果,即级联可以通过计算带宽起到噪声滤波器的作用。我们的研究表明,n 个长度的循环显示出我们所称的一阶超灵敏度,即使循环不在零阶系统中运行,这种超灵敏度也会出现。然而,灵敏度的大小有一个与周期数相等的上限。众所周知,在存在追溯性的情况下,ZOU 可以显著降低。我们的研究表明,一阶超灵敏度不受追溯性的影响,而且 ZOU 和一阶超灵敏度可以混合使用,以创建在更大信号范围内灵敏度恒定的系统。我们的研究表明,与单周期相比,双周期的 ZOU 只略微高一些。因此,我们推测,双循环的进化是为了即使在逆反应的情况下也能实现放大。
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引用次数: 0
50 Years of metabolic control analysis 代谢控制分析 50 年
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-02-09 DOI: 10.1098/rsfs.2023.0080
Herbert M. Sauro
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引用次数: 0
50 Years of metabolic control analysis 代谢控制分析 50 年
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-02-09 DOI: 10.1098/rsfs.2023.0080
Herbert M. Sauro
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引用次数: 0
Optimal enzyme profiles in unbranched metabolic pathways. 无分支代谢途径中的最佳酶谱。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2024-02-09 eCollection Date: 2024-02-15 DOI: 10.1098/rsfs.2023.0029
Elad Noor, Wolfram Liebermeister

How to optimize the allocation of enzymes in metabolic pathways has been a topic of study for many decades. Although the general problem is complex and nonlinear, we have previously shown that it can be solved by convex optimization. In this paper, we focus on unbranched metabolic pathways with simplified enzymatic rate laws and derive analytic solutions to the optimization problem. We revisit existing solutions based on the limit of mass-action rate laws and present new solutions for other rate laws. Furthermore, we revisit a known relationship between flux control coefficients and enzyme abundances in optimal metabolic states. We generalize this relationship to models with density constraints on enzymes and metabolites, and present a new local relationship between optimal reaction elasticities and enzyme amounts. Finally, we apply our theory to derive simple kinetics-based formulae for protein allocation during bacterial growth.

几十年来,如何优化代谢途径中酶的分配一直是一个研究课题。虽然一般问题是复杂的非线性问题,但我们之前已经证明,它可以通过凸优化来解决。在本文中,我们将重点放在具有简化酶速率定律的无分支代谢途径上,并推导出优化问题的解析解。我们重新审视了基于质量作用速率定律极限的现有解法,并针对其他速率定律提出了新的解法。此外,我们还重新审视了最佳代谢状态下通量控制系数与酶丰度之间的已知关系。我们将这一关系推广到对酶和代谢物有密度限制的模型,并提出了最佳反应弹性与酶数量之间的新局部关系。最后,我们应用我们的理论推导出细菌生长过程中蛋白质分配的简单动力学公式。
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引用次数: 0
FK-means: automatic atrial fibrosis segmentation using fractal-guided K-means clustering with Voronoi-clipping feature extraction of anatomical structures. FK-means:利用分形引导的 K-means 聚类和解剖结构的 Voronoi-clipping 特征提取,自动进行心房纤维化分割。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0033
Marjan Firouznia, Markus Henningsson, Carl-Johan Carlhäll

Assessment of left atrial (LA) fibrosis from late gadolinium enhancement (LGE) magnetic resonance imaging (MRI) adds to the management of patients with atrial fibrillation. However, accurate assessment of fibrosis in the LA wall remains challenging. Excluding anatomical structures in the LA proximity using clipping techniques can reduce misclassification of LA fibrosis. A novel FK-means approach for combined automatic clipping and automatic fibrosis segmentation was developed. This approach combines a feature-based Voronoi diagram with a hierarchical 3D K-means fractal-based method. The proposed automatic Voronoi clipping method was applied on LGE-MRI data and achieved a Dice score of 0.75, similar to the score obtained by a deep learning method (3D UNet) for clipping (0.74). The automatic fibrosis segmentation method, which uses the Voronoi clipping method, achieved a Dice score of 0.76. This outperformed a 3D UNet method for clipping and fibrosis classification, which had a Dice score of 0.69. Moreover, the proposed automatic fibrosis segmentation method achieved a Dice score of 0.90, using manual clipping of anatomical structures. The findings suggest that the automatic FK-means analysis approach enables reliable LA fibrosis segmentation and that clipping of anatomical structures in the atrial proximity can add to the assessment of atrial fibrosis.

通过晚期钆增强(LGE)磁共振成像(MRI)评估左心房(LA)纤维化有助于心房颤动患者的治疗。然而,准确评估 LA 壁的纤维化仍具有挑战性。利用剪切技术排除 LA 附近的解剖结构可减少 LA 纤维化的误诊。我们开发了一种新颖的 FK-means 方法,用于自动剪切和自动纤维化分割。该方法将基于特征的 Voronoi 图与基于分形的分层 3D K-means 方法相结合。在 LGE-MRI 数据上应用了所提出的自动 Voronoi 剪切方法,其 Dice 得分为 0.75,与深度学习方法(3D UNet)在剪切方面获得的得分(0.74)相似。使用 Voronoi 剪切法的自动纤维化分割方法的 Dice 得分为 0.76。这一成绩优于用于剪切和纤维化分类的 3D UNet 方法,后者的 Dice 得分为 0.69。此外,所提出的自动纤维化分割方法在使用人工剪切解剖结构的情况下,Dice 得分为 0.90。研究结果表明,FK-均值自动分析方法可实现可靠的 LA 纤维化分割,而剪切心房附近的解剖结构可增加对心房纤维化的评估。
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引用次数: 0
Evaluating pro-arrhythmogenic effects of the T634S-hERG mutation: insights from a simulation study. 评估 T634S-hERG 突变的致心律失常效应:模拟研究的启示。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0035
Wei Hu, Wenfeng Zhang, Kevin Zhang, Ehab Al-Moubarak, Yihong Zhang, Stephen C Harmer, Jules C Hancox, Henggui Zhang

A mutation to serine of a conserved threonine (T634S) in the hERG K+ channel S6 pore region has been identified as a variant of uncertain significance, showing a loss-of-function effect. However, its potential consequences for ventricular excitation and arrhythmogenesis have not been reported. This study evaluated possible functional effects of the T634S-hERG mutation on ventricular excitation and arrhythmogenesis by using multi-scale computer models of the human ventricle. A Markov chain model of the rapid delayed rectifier potassium current (IKr) was reconstructed for wild-type and T634S-hERG mutant conditions and incorporated into the ten Tusscher et al. models of human ventricles at cell and tissue (1D, 2D and 3D) levels. Possible functional impacts of the T634S-hERG mutation were evaluated by its effects on action potential durations (APDs) and their rate-dependence (APDr) at the cell level; and on the QT interval of pseudo-ECGs, tissue vulnerability to unidirectional conduction block (VW), spiral wave dynamics and repolarization dispersion at the tissue level. It was found that the T634S-hERG mutation prolonged cellular APDs, steepened APDr, prolonged the QT interval, increased VW, destablized re-entry and augmented repolarization dispersion across the ventricle. Collectively, these results imply potential pro-arrhythmic effects of the T634S-hERG mutation, consistent with LQT2.

hERG K+ 通道 S6 孔区域中一个保守苏氨酸(T634S)的丝氨酸突变已被确定为意义不确定的变异,显示出功能缺失效应。然而,其对心室兴奋和心律失常发生的潜在影响尚未见报道。本研究通过使用人体心室的多尺度计算机模型,评估了 T634S-hERG 突变对心室兴奋和心律失常发生的可能功能影响。针对野生型和 T634S-hERG 突变体重建了快速延迟整流钾电流(IKr)的马尔可夫链模型,并将其纳入 Tusscher 等人的十个人类心室模型的细胞和组织(一维、二维和三维)层面。通过在细胞水平上对动作电位持续时间(APDs)及其速率依赖性(APDr)的影响,以及在组织水平上对伪心电图的 QT 间期、组织对单向传导阻滞(VW)的脆弱性、螺旋波动力学和复极化弥散的影响,评估了 T634S-hERG 突变可能产生的功能影响。研究发现,T634S-hERG 突变可延长细胞 APDs、使 APDr 变陡、延长 QT 间期、增加 VW、破坏再入路和扩大整个心室的复极化弥散。总之,这些结果表明 T634S-hERG 突变具有潜在的促心律失常效应,与 LQT2 一致。
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引用次数: 0
Pirfenidone increases transverse tubule length in the infarcted rat myocardium. 吡非尼酮能增加梗死大鼠心肌横向小管的长度。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0047
Hussam Moammer, Jizhong Bai, Timothy L M Jones, Marie Ward, Caroyln Barrett, David J Crossman

Transverse (t)-tubule remodelling is a prominent feature of heart failure with reduced ejection fraction (HFrEF). In our previous research, we identified an increased amount of collagen within the t-tubules of HFrEF patients, suggesting fibrosis could contribute to the remodelling of t-tubules. In this research, we tested this hypothesis in a rodent model of myocardial infarction induced heart failure that was treated with the anti-fibrotic pirfenidone. Confocal microscopy demonstrated loss of t-tubules within the border zone region of the infarct. This was documented as a reduction in t-tubule frequency, area, length, and transverse elements. Eight weeks of pirfenidone treatment was able to significantly increase the area and length of the t-tubules within the border zone. Echocardiography showed no improvement with pirfenidone treatment. Surprisingly, pirfenidone significantly increased the thickness of the t-tubules in the remote left ventricle of heart failure animals. Dilation of t-tubules is a common feature in heart failure suggesting this may negatively impact function but there was no functional loss associated with pirfenidone treatment. However, due to the relatively short duration of treatment compared to that used clinically, the impact of long-term treatment on t-tubule structure should be investigated in future studies.

横向(t)微管重塑是射血分数降低型心力衰竭(HFrEF)的一个显著特征。在我们之前的研究中,我们发现高射血分数心力衰竭患者的 t 型微管内胶原含量增加,这表明纤维化可能是 t 型微管重塑的原因之一。在这项研究中,我们在使用抗纤维化药物吡非尼酮治疗的心肌梗死诱发心力衰竭啮齿动物模型中检验了这一假设。共聚焦显微镜显示了心肌梗死边界区内 t 型微管的缺失。这表现为 t 型微管频率、面积、长度和横向元素的减少。吡非尼酮治疗八周后,边界区内 t 型微管的面积和长度明显增加。超声心动图检查结果显示,吡非尼酮治疗并无改善。令人惊讶的是,吡非尼酮能明显增加心力衰竭动物远端左心室中 t 型微管的厚度。t-微管扩张是心力衰竭的一个常见特征,这可能会对功能产生负面影响,但吡非尼酮治疗并没有导致功能丧失。然而,由于治疗持续时间与临床治疗时间相比相对较短,长期治疗对t-微管结构的影响应在今后的研究中进行调查。
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引用次数: 0
Simultaneous data assimilation and cardiac electrophysiology model correction using differentiable physics and deep learning. 利用可微分物理学和深度学习同时进行数据同化和心脏电生理学模型校正。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0043
Victoriya Kashtanova, Mihaela Pop, Ibrahim Ayed, Patrick Gallinari, Maxime Sermesant

Modelling complex systems, like the human heart, has made great progress over the last decades. Patient-specific models, called 'digital twins', can aid in diagnosing arrhythmias and personalizing treatments. However, building highly accurate predictive heart models requires a delicate balance between mathematical complexity, parameterization from measurements and validation of predictions. Cardiac electrophysiology (EP) models range from complex biophysical models to simplified phenomenological models. Complex models are accurate but computationally intensive and challenging to parameterize, while simplified models are computationally efficient but less realistic. In this paper, we propose a hybrid approach by leveraging deep learning to complete a simplified cardiac model from data. Our novel framework has two components, decomposing the dynamics into a physics based and a data-driven term. This construction allows our framework to learn from data of different complexity, while simultaneously estimating model parameters. First, using in silico data, we demonstrate that this framework can reproduce the complex dynamics of cardiac transmembrane potential even in the presence of noise in the data. Second, using ex vivo optical data of action potentials (APs), we demonstrate that our framework can identify key physical parameters for anatomical zones with different electrical properties, as well as to reproduce the AP wave characteristics obtained from various pacing locations. Our physics-based data-driven approach may improve cardiac EP modelling by providing a robust biophysical tool for predictions.

过去几十年来,复杂系统(如人体心脏)建模取得了长足进步。被称为 "数字双胞胎 "的特定患者模型可以帮助诊断心律失常和个性化治疗。然而,建立高度准确的预测性心脏模型需要在数学复杂性、测量参数化和预测验证之间取得微妙的平衡。心脏电生理学(EP)模型既有复杂的生物物理模型,也有简化的现象学模型。复杂的模型精确度高,但计算量大,参数化难度高;简化的模型计算效率高,但现实性较差。在本文中,我们提出了一种混合方法,利用深度学习从数据中完成简化的心脏模型。我们的新颖框架由两部分组成,将动力学分解为基于物理的项和数据驱动的项。这种结构允许我们的框架从不同复杂度的数据中学习,同时估算模型参数。首先,我们利用硅学数据证明,即使在数据存在噪声的情况下,该框架也能再现心脏跨膜电位的复杂动态。其次,利用动作电位(APs)的体外光学数据,我们证明了我们的框架可以识别具有不同电特性的解剖区域的关键物理参数,并重现从不同起搏位置获得的 AP 波特征。我们基于物理学的数据驱动方法为预测提供了一个强大的生物物理工具,可改善心脏 EP 建模。
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引用次数: 0
Modifications of long-term heart rate variability produced in an experimental model of diet-induced metabolic syndrome. 饮食诱发代谢综合征实验模型中长期心率变异性的改变。
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0030
W M Lozano, J E Ortiz-Guzmán, O Arias-Mutis, A Bizy, P Genovés, L Such-Miquel, A Alberola, F J Chorro, M Zarzoso, C J Calvo

Metabolic syndrome (MetS) has been linked to a higher prevalence of cardiac arrhythmias, the most frequent being atrial fibrillation, but the mechanisms are not well understood. One possible underlying mechanism may be an abnormal modulation of autonomic nervous system activity, which can be quantified by analysing heart rate variability (HRV). Our aim was to investigate the modifications of long-term HRV in an experimental model of diet-induced MetS to identify the early changes in HRV and the link between autonomic dysregulation and MetS components. NZW rabbits were randomly assigned to control (n = 10) or MetS (n = 10) groups, fed 28 weeks with high-fat, high-sucrose diet. 24-hour recordings were used to analyse HRV at week 28 using time-domain, frequency-domain and nonlinear analyses. Time-domain analysis showed a decrease in RR interval and triangular index (Ti). In the frequency domain, we found a decrease in the low frequency band. Nonlinear analyses showed a decrease in DFA-α1 and DFA-α2 (detrended fluctuations analysis) and maximum multiscale entropy. The strongest association between HRV parameters and markers of MetS was found between Ti and mean arterial pressure, and Ti and left atrial diameter, which could point towards the initial changes induced by the autonomic imbalance in MetS.

代谢综合征(MetS)与较高的心律失常发病率有关,其中最常见的是心房颤动,但其发病机制尚不十分清楚。一个可能的潜在机制可能是自律神经系统活动的异常调节,这可以通过分析心率变异性(HRV)来量化。我们的目的是研究饮食诱导 MetS 实验模型中长期心率变异的变化,以确定心率变异的早期变化以及自律神经失调与 MetS 成分之间的联系。NZW 兔子被随机分配到对照组(n = 10)或 MetS 组(n = 10),以高脂肪、高蔗糖饮食喂养 28 周。使用时域、频域和非线性分析方法对第28周的心率变异进行24小时记录分析。时域分析表明,RR间期和三角形指数(Ti)有所下降。在频域,我们发现低频段有所下降。非线性分析显示 DFA-α1 和 DFA-α2(去趋势波动分析)以及最大多尺度熵有所下降。心率变异参数与 MetS 标志物之间最密切的联系存在于 Ti 与平均动脉压、Ti 与左心房直径之间,这可能表明 MetS 中自律神经失衡引起了最初的变化。
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引用次数: 0
Chamber-specific wall thickness features in human atrial fibrillation. 人类心房颤动的室壁厚度特征
IF 4.4 3区 生物学 Q1 Biochemistry, Genetics and Molecular Biology Pub Date : 2023-12-15 eCollection Date: 2023-12-06 DOI: 10.1098/rsfs.2023.0044
Jichao Zhao, James Kennelly, Aaqel Nalar, Anuradha Kulathilaka, Roshan Sharma, Jieyun Bai, Ning Li, Vadim V Fedorov

Persistent atrial fibrillation (AF) is not effectively treated due to a lack of adequate tools for identifying patient-specific AF substrates. Recent studies revealed that in 30-50% of patients, persistent AF is maintained by localized drivers not only in the left atrium (LA) but also in the right atrium (RA). The chamber-specific atrial wall thickness (AWT) features underlying AF remain elusive, though the important role of AWT in AF is widely acknowledged. We aimed to provide direct evidence of the existence of distinguished RA and LA AWT features underlying AF drivers by analysing functionally and structurally mapped human hearts ex vivo. Coronary-perfused intact human atria (n = 7, 47 ± 14 y.o.; two female) were mapped using panoramic near-infrared optical mapping during pacing-induced AF. Then the hearts were imaged at approximately 170 µm3 resolution by 9.4 T gadolinium-enhanced MRI. The heart was segmented, and 3D AWT throughout atrial chambers was estimated and analysed. Optical mapping identified six localized RA re-entrant drivers in four hearts and four LA drivers in three hearts. All RA AF drivers were anchored to the pectinate muscle junctions with the crista terminalis or atrial walls. The four LA AF drivers were in the posterior LA. RA (n = 4) with AF drivers were thicker with greater AWT variation than RA (n = 3) without drivers (5.4 ± 2.6 mm versus 5.0 ± 2.4 mm, T-test p < 0.05; F-test p < 0.05). Furthermore, AWT in RA driver regions was thicker and varied more than in RA non-driver regions (5.1 ± 2.5 mm versus 4.4 ± 2.2 mm, T-test p < 0.05; F-test p < 0.05). On the other hand, LA (n = 3) with drivers was thinner than the LA (n = 4) without drivers. In particular, LA driver regions were thinner than the rest of LA regions (3.4 ± 1.0 mm versus 4.2 ± 1.0 mm, T-test p < 0.05). This study demonstrates chamber-specific AWT features of AF drivers. In RA, driver regions are thicker and have more variable AWT than non-driver regions. By contrast, LA drivers are thinner than non-drivers. Robust evaluation of patient-specific AWT features should be considered for chamber-specific targeted ablation.

由于缺乏识别患者特异性房颤基质的适当工具,持续性房颤(AF)未能得到有效治疗。最近的研究表明,在 30-50% 的患者中,持续性房颤不仅由左心房(LA)的局部驱动因素维持,也由右心房(RA)的局部驱动因素维持。尽管人们普遍承认心房壁厚度(AWT)在房颤中的重要作用,但房颤的心房壁厚度(AWT)特征仍难以确定。我们的目的是通过分析功能和结构映射的体外人体心脏,提供直接证据证明房颤驱动因素的心房和洛杉矶心房壁厚度特征存在差异。在起搏诱导房颤期间,使用全景近红外光学绘图法绘制了冠状动脉灌注的完整人类心房(n = 7,47 ± 14 岁,其中两名女性)。然后用 9.4 T 钆增强磁共振成像技术以约 170 µm3 的分辨率对心脏进行成像。对心脏进行分割,并估算和分析整个心房腔的 3D AWT。光学图谱在四颗心脏中发现了六个局部的 RA 再入驱动器,在三颗心脏中发现了四个 LA 驱动器。所有 RA 房颤驱动器都固定在栉状肌与嵴末端或心房壁的交界处。四个 LA 房颤驱动器位于 LA 后部。有房颤驱动器的 RA(n = 4)比无驱动器的 RA(n = 3)更厚,AWT 变化更大(5.4 ± 2.6 mm 对 5.0 ± 2.4 mm,T 检验 p < 0.05;F 检验 p < 0.05)。此外,RA驱动区的AWT比RA非驱动区更粗且变化更大(5.1 ± 2.5 mm对4.4 ± 2.2 mm,T检验 p < 0.05;F检验 p < 0.05)。另一方面,有驱动因素的 LA(n = 3)比无驱动因素的 LA(n = 4)薄。特别是,LA 驱动区比 LA 其他区域更薄(3.4 ± 1.0 mm 对 4.2 ± 1.0 mm,T 检验 p <0.05)。该研究显示了房颤驱动区的室特异性 AWT 特征。在 RA 中,驱动区比非驱动区更厚,AWT 变化更大。相比之下,LA 驱动区比非驱动区更薄。在进行特定腔室靶向消融时,应考虑对患者特异性 AWT 特征进行全面评估。
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引用次数: 0
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