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In vitro detection of adrenocorticotropic hormone levels by fluorescence correlation spectroscopy immunoassay for mathematical modeling of glucocorticoid-mediated feedback mechanisms. 用荧光相关光谱免疫分析法体外检测促肾上腺皮质激素水平,建立糖皮质激素介导反馈机制的数学模型。
Pub Date : 2012-10-26 DOI: 10.1186/1687-4153-2012-17
Martin Gerald Puchinger, Clemens Alexander Zarzer, Philipp Kügler, Erwin Gaubitzer, Gottfried Köhler

Performing quantitative, highly sensitive measurements at a single molecule level is often necessary to address specific issues related to complex molecular and biochemical systems. For that purpose, we present a technique exploiting both the flexibility of immunoassays as well as the low operating costs and high throughput rates of the fluorescence correlation spectroscopy (FCS) method. That way we have established a quantitative measurement technique providing accurate and flexibly time resolved data of single molecules. Nanomolar changes in adrenocorticotropic hormone (ACTH) levels have been detected in a short time-frame that are caused by fast feedback actions in AtT-20 anterior pituitary glands in vitro. Especially with respect to clinical diagnostic or mathematical modeling this improved FCS setup may be of high relevance in order to accurately quantify the amounts of peptide hormones-such as ACTH-as well as signaling molecules, transcription factors, etc., being involved in intra- and extracellular reaction networks.

在单分子水平上进行定量,高灵敏度的测量通常是解决与复杂分子和生化系统相关的特定问题所必需的。为此,我们提出了一种利用免疫测定的灵活性以及荧光相关光谱(FCS)方法的低操作成本和高通量率的技术。通过这种方式,我们建立了一种定量测量技术,提供了准确灵活的单分子时间分辨数据。促肾上腺皮质激素(ACTH)水平的纳摩尔变化已在短时间内被检测到,这是由体外at -20垂体前腺的快速反馈作用引起的。特别是在临床诊断或数学建模方面,这种改进的FCS设置可能与准确量化参与细胞内和细胞外反应网络的肽激素(如acth)以及信号分子、转录因子等的数量高度相关。
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引用次数: 5
Map-invariant spectral analysis for the identification of DNA periodicities. 用于DNA周期性鉴定的不变性谱分析。
Pub Date : 2012-10-15 DOI: 10.1186/1687-4153-2012-16
Ahmad Rushdi, Jamal Tuqan, Thomas Strohmer

: Many signal processing based methods for finding hidden periodicities in DNA sequences have primarily focused on assigning numerical values to the symbolic DNA sequence and then applying spectral analysis tools such as the short-time discrete Fourier transform (ST-DFT) to locate these repeats. The key results pertaining to this approach are however obtained using a very specific symbolic to numerical map, namely the so-called Voss representation. An important research problem is to therefore quantify the sensitivity of these results to the choice of the symbolic to numerical map. In this article, a novel algebraic approach to the periodicity detection problem is presented and provides a natural framework for studying the role of the symbolic to numerical map in finding these repeats. More specifically, we derive a new matrix-based expression of the DNA spectrum that comprises most of the widely used mappings in the literature as special cases, shows that the DNA spectrum is in fact invariable under all these mappings, and generates a necessary and sufficient condition for the invariance of the DNA spectrum to the symbolic to numerical map. Furthermore, the new algebraic framework decomposes the periodicity detection problem into several fundamental building blocks that are totally independent of each other. Sophisticated digital filters and/or alternate fast data transforms such as the discrete cosine and sine transforms can therefore be always incorporated in the periodicity detection scheme regardless of the choice of the symbolic to numerical map. Although the newly proposed framework is matrix based, identification of these periodicities can be achieved at a low computational cost.

许多基于信号处理的方法来发现DNA序列中隐藏的周期性,主要集中在为符号DNA序列分配数值,然后应用频谱分析工具,如短时离散傅立叶变换(ST-DFT)来定位这些重复序列。然而,与此方法相关的关键结果是使用非常具体的符号到数字映射,即所谓的沃斯表示获得的。因此,一个重要的研究问题是量化这些结果对选择符号到数值映射的敏感性。在本文中,提出了一种新的周期检测问题的代数方法,并为研究符号到数值映射在寻找这些重复中的作用提供了一个自然框架。更具体地说,我们推导了一种新的基于矩阵的DNA谱表达式,它包含了文献中大多数广泛使用的映射作为特例,表明DNA谱在所有这些映射下实际上是不变的,并为DNA谱对符号到数字映射的不变性提供了一个充分必要条件。此外,新的代数框架将周期性检测问题分解为几个相互完全独立的基本构件。复杂的数字滤波器和/或交替快速数据变换,如离散余弦变换和正弦变换,因此,无论选择符号到数字映射,都可以将其纳入周期性检测方案。虽然新提出的框架是基于矩阵的,但这些周期性的识别可以以较低的计算成本实现。
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引用次数: 3
Fastbreak: a tool for analysis and visualization of structural variations in genomic data. Fastbreak:一个分析和可视化基因组数据结构变化的工具。
Pub Date : 2012-10-09 DOI: 10.1186/1687-4153-2012-15
Ryan Bressler, Jake Lin, Andrea Eakin, Thomas Robinson, Richard Kreisberg, Hector Rovira, Theo Knijnenburg, John Boyle, Ilya Shmulevich

Genomic studies are now being undertaken on thousands of samples requiring new computational tools that can rapidly analyze data to identify clinically important features. Inferring structural variations in cancer genomes from mate-paired reads is a combinatorially difficult problem. We introduce Fastbreak, a fast and scalable toolkit that enables the analysis and visualization of large amounts of data from projects such as The Cancer Genome Atlas.

目前正在对数千个样本进行基因组研究,需要新的计算工具来快速分析数据以识别临床重要特征。从配对序列中推断癌症基因组的结构变异是一个组合难题。我们介绍了Fastbreak,这是一个快速且可扩展的工具包,可以对来自癌症基因组图谱等项目的大量数据进行分析和可视化。
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引用次数: 6
Model-based analysis of an adaptive evolution experiment with Escherichia coli in a pyruvate limited continuous culture with glycerol. 丙酮酸限制甘油连续培养中大肠杆菌适应进化实验的模型分析。
Pub Date : 2012-10-03 DOI: 10.1186/1687-4153-2012-14
Ronny Feuer, Katrin Gottlieb, Gero Viertel, Johannes Klotz, Steffen Schober, Martin Bossert, Oliver Sawodny, Georg Sprenger, Michael Ederer

: Bacterial strains that were genetically blocked in important metabolic pathways and grown under selective conditions underwent a process of adaptive evolution: certain pathways may have been deregulated and therefore allowed for the circumvention of the given block. A block of endogenous pyruvate synthesis from glycerol was realized by a knockout of pyruvate kinase and phosphoenolpyruvate carboxylase in E. coli. The resulting mutant strain was able to grow on a medium containing glycerol and lactate, which served as an exogenous pyruvate source. Heterologous expression of a pyruvate carboxylase gene from Corynebacterium glutamicum was used for anaplerosis of the TCA cycle. Selective conditions were controlled in a continuous culture with limited lactate feed and an excess of glycerol feed. After 200-300 generations pyruvate-prototrophic mutants were isolated. The genomic analysis of an evolved strain revealed that the genotypic basis for the regained pyruvate-prototrophy was not obvious. A constraint-based model of the metabolism was employed to compute all possible detours around the given metabolic block by solving a hierarchy of linear programming problems. The regulatory network was expected to be responsible for the adaptation process. Hence, a Boolean model of the transcription factor network was connected to the metabolic model. Our model analysis only showed a marginal impact of transcriptional control on the biomass yield on substrate which is a key variable in the selection process. In our experiment, microarray analysis confirmed that transcriptional control probably played a minor role in the deregulation of the alternative pathways for the circumvention of the block.

在重要的代谢途径中被遗传阻断并在选择性条件下生长的菌株经历了适应性进化的过程:某些途径可能已被解除管制,因此允许绕过给定的阻断。通过敲除大肠杆菌中丙酮酸激酶和磷酸烯醇丙酮酸羧化酶,实现了内源性甘油合成丙酮酸的阻断。由此产生的突变株能够在含有甘油和乳酸的培养基上生长,作为外源丙酮酸源。利用谷氨酸棒状杆菌丙酮酸羧化酶基因的异源表达对TCA循环进行了修复。用有限的乳酸饲料和过量的甘油饲料控制连续培养的选择条件。200-300代后分离出丙酮酸原生营养突变体。对一个进化菌株的基因组分析表明,重新获得的丙酮酸原生营养的基因型基础并不明显。采用基于约束的代谢模型,通过求解层次线性规划问题,计算给定代谢块周围所有可能的弯路。预计监管网络将负责适应过程。因此,转录因子网络的布尔模型被连接到代谢模型。我们的模型分析仅显示转录控制对底物生物量产量的边际影响,而底物生物量产量是选择过程中的关键变量。在我们的实验中,微阵列分析证实,转录控制可能在规避阻滞的替代途径的解除管制中发挥了次要作用。
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引用次数: 8
Relations between the set-complexity and the structure of graphs and their sub-graphs. 图及其子图的结构与集合复杂度的关系。
Pub Date : 2012-09-21 DOI: 10.1186/1687-4153-2012-13
Tomasz M Ignac, Nikita A Sakhanenko, David J Galas

: We describe some new conceptual tools for the rigorous, mathematical description of the "set-complexity" of graphs. This set-complexity has been shown previously to be a useful measure for analyzing some biological networks, and in discussing biological information in a quantitative fashion. The advances described here allow us to define some significant relationships between the set-complexity measure and the structure of graphs, and of their component sub-graphs. We show here that modular graph structures tend to maximize the set-complexity of graphs. We point out the relationship between modularity and redundancy, and discuss the significance of set-complexity in this regard. We specifically discuss the relationship between complexity and entropy in the case of complete-bipartite graphs, and present a new method for constructing highly complex, binary graphs. These results can be extended to the case of ternary graphs, and to other multi-edge graphs, which are fundamentally more relevant to biological structures and systems. Finally, our results lead us to an approach for extracting high complexity modular graphs from large, noisy graphs with low information content. We illustrate this approach with two examples.

我们描述了一些新的概念工具,用于图的“集合复杂度”的严格的数学描述。这种集的复杂性已经被证明是分析某些生物网络和以定量方式讨论生物信息的有用度量。这里描述的进展使我们能够定义集复杂度度量与图及其组成子图的结构之间的一些重要关系。我们在这里展示了模图结构倾向于最大化图的集合复杂度。我们指出了模块化和冗余的关系,并讨论了集合复杂度在这方面的意义。我们特别讨论了完全二部图的复杂度与熵的关系,并提出了一种构造高度复杂二部图的新方法。这些结果可以推广到三元图的情况下,以及其他多边图,从根本上更相关的生物结构和系统。最后,我们的结果使我们能够从信息量低的大型噪声图中提取高复杂性模图。我们用两个例子来说明这种方法。
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引用次数: 5
Identification of CpG islands in DNA sequences using statistically optimal null filters. 利用统计上最优的零滤波器鉴定DNA序列中的CpG岛。
Pub Date : 2012-08-29 DOI: 10.1186/1687-4153-2012-12
Rajasekhar Kakumani, Omair Ahmad, Vijay Devabhaktuni

: CpG dinucleotide clusters also referred to as CpG islands (CGIs) are usually located in the promoter regions of genes in a deoxyribonucleic acid (DNA) sequence. CGIs play a crucial role in gene expression and cell differentiation, as such, they are normally used as gene markers. The earlier CGI identification methods used the rich CpG dinucleotide content in CGIs, as a characteristic measure to identify the locations of CGIs. The fact, that the probability of nucleotide G following nucleotide C in a CGI is greater as compared to a non-CGI, is employed by some of the recent methods. These methods use the difference in transition probabilities between subsequent nucleotides to distinguish between a CGI from a non-CGI. These transition probabilities vary with the data being analyzed and several of them have been reported in the literature sometimes leading to contradictory results. In this article, we propose a new and efficient scheme for identification of CGIs using statistically optimal null filters. We formulate a new CGI identification characteristic to reliably and efficiently identify CGIs in a given DNA sequence which is devoid of any ambiguities. Our proposed scheme combines maximum signal-to-noise ratio and least squares optimization criteria to estimate the CGI identification characteristic in the DNA sequence. The proposed scheme is tested on a number of DNA sequences taken from human chromosomes 21 and 22, and proved to be highly reliable as well as efficient in identifying the CGIs.

CpG二核苷酸簇也被称为CpG岛(cgi),通常位于脱氧核糖核酸(DNA)序列中基因的启动子区域。cgi在基因表达和细胞分化中起着至关重要的作用,因此,它们通常被用作基因标记。早期的CGI识别方法利用CGI中丰富的CpG二核苷酸含量作为识别CGI位置的特征度量。事实上,与非CGI相比,CGI中核苷酸G紧随核苷酸C的概率更大,这一事实被一些最新的方法所采用。这些方法使用后续核苷酸之间的转换概率差异来区分CGI和非CGI。这些转移概率随所分析的数据而变化,其中一些已经在文献中报道,有时会导致相互矛盾的结果。在本文中,我们提出了一种新的和有效的方案来识别gis使用统计最优的零滤波器。本文提出了一种新的无歧义、可靠、高效的DNA序列CGI识别特征。我们提出的方案结合最大信噪比和最小二乘优化准则来估计DNA序列中的CGI识别特性。对人类21号和22号染色体的DNA序列进行了测试,结果表明该方法具有较高的可靠性和有效性。
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引用次数: 19
Relationships between kinetic constants and the amino acid composition of enzymes from the yeast Saccharomyces cerevisiae glycolysis pathway. 酵母糖酵解途径酶的动力学常数与氨基酸组成的关系。
Pub Date : 2012-08-06 DOI: 10.1186/1687-4153-2012-11
Peteris Zikmanis, Inara Kampenusa

The kinetic models of metabolic pathways represent a system of biochemical reactions in terms of metabolic fluxes and enzyme kinetics. Therefore, the apparent differences of metabolic fluxes might reflect distinctive kinetic characteristics, as well as sequence-dependent properties of the employed enzymes. This study aims to examine possible linkages between kinetic constants and the amino acid (AA) composition (AAC) for enzymes from the yeast Saccharomyces cerevisiae glycolytic pathway. The values of Michaelis-Menten constant (KM), turnover number (kcat), and specificity constant (ksp = kcat/KM) were taken from BRENDA (15, 17, and 16 values, respectively) and protein sequences of nine enzymes (HXK, GADH, PGK, PGM, ENO, PK, PDC, TIM, and PYC) from UniProtKB. The AAC and sequence properties were computed by ExPASy/ProtParam tool and data processed by conventional methods of multivariate statistics. Multiple linear regressions were found between the log-values of kcat (3 models, 85.74% < Radj.2 <94.11%, p < 0.00001), KM (1 model, Radj.2 = 96.70%, p < 0.00001), ksp (3 models, 96.15% < Radj.2 < 96.50%, p < 0.00001), and the sets of AA frequencies (four to six for each model) selected from enzyme sequences while assessing the potential multicollinearity between variables. It was also found that the selection of independent variables in multiple regression models may reflect certain advantages for definite AA physicochemical and structural propensities, which could affect the properties of sequences. The results support the view on the actual interdependence of catalytic, binding, and structural residues to ensure the efficiency of biocatalysts, since the kinetic constants of the yeast enzymes appear as closely related to the overall AAC of sequences.

代谢途径的动力学模型在代谢通量和酶动力学方面代表了一个生化反应系统。因此,代谢通量的明显差异可能反映了所用酶的独特动力学特征以及序列依赖性特性。本研究旨在检验酿酒酵母糖酵解途径中酶的动力学常数与氨基酸(AA)组成(AAC)之间的可能联系。米氏常数(KM)、周转数(kcat)和特异性常数(ksp)的值 = kcat/KM)和UniProtKB的9种酶(HXK、GADH、PGK、PGM、ENO、PK、PDC、TIM和PYC)的蛋白质序列。AAC和序列性质通过ExPASy/ProtParam工具计算,数据通过传统的多元统计方法处理。kcat的对数值之间存在多重线性回归(3个模型,85.74%
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引用次数: 9
The role of feedback control mechanisms on the establishment of oscillatory regimes in the Ras/cAMP/PKA pathway in S. cerevisiae. 反馈控制机制在酿酒酵母Ras/cAMP/PKA通路振荡机制建立中的作用。
Pub Date : 2012-07-20 DOI: 10.1186/1687-4153-2012-10
Daniela Besozzi, Paolo Cazzaniga, Dario Pescini, Giancarlo Mauri, Sonia Colombo, Enzo Martegani

: In the yeast Saccharomyces cerevisiae, the Ras/cAMP/PKA pathway is involved in the regulation of cell growth and proliferation in response to nutritional sensing and stress conditions. The pathway is tightly regulated by multiple feedback loops, exerted by the protein kinase A (PKA) on a few pivotal components of the pathway. In this article, we investigate the dynamics of the second messenger cAMP by performing stochastic simulations and parameter sweep analysis of a mechanistic model of the Ras/cAMP/PKA pathway, to determine the effects that the modulation of these feedback mechanisms has on the establishment of stable oscillatory regimes. In particular, we start by studying the role of phosphodiesterases, the enzymes that catalyze the degradation of cAMP, which represent the major negative feedback in this pathway. Then, we show the results on cAMP oscillations when perturbing the amount of protein Cdc25 coupled with the alteration of the intracellular ratio of the guanine nucleotides (GTP/GDP), which are known to regulate the switch of the GTPase Ras protein. This multi-level regulation of the amplitude and frequency of oscillations in the Ras/cAMP/PKA pathway might act as a fine tuning mechanism for the downstream targets of PKA, as also recently evidenced by some experimental investigations on the nucleocytoplasmic shuttling of the transcription factor Msn2 in yeast cells.

在酿酒酵母中,Ras/cAMP/PKA通路参与了对营养感知和应激条件下细胞生长和增殖的调节。该通路受到多个反馈回路的严格调控,这些反馈回路由蛋白激酶A (PKA)对该通路的几个关键组分施加作用。在本文中,我们通过对Ras/cAMP/PKA通路的机制模型进行随机模拟和参数扫描分析来研究第二信使cAMP的动力学,以确定这些反馈机制的调制对稳定振荡机制的建立的影响。特别是,我们从研究磷酸二酯酶的作用开始,磷酸二酯酶是催化cAMP降解的酶,它代表了这一途径中的主要负反馈。然后,我们展示了当干扰Cdc25蛋白的数量以及改变细胞内鸟嘌呤核苷酸(GTP/GDP)的比例时cAMP振荡的结果,已知鸟嘌呤核苷酸可以调节GTPase Ras蛋白的开关。Ras/cAMP/PKA通路振荡幅度和频率的多级调控可能是PKA下游靶点的微调机制,最近对酵母细胞中转录因子Msn2的核质穿梭的一些实验研究也证明了这一点。
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引用次数: 32
Approximate maximum likelihood estimation for stochastic chemical kinetics. 随机化学动力学的近似最大似然估计。
Pub Date : 2012-07-18 DOI: 10.1186/1687-4153-2012-9
Aleksandr Andreychenko, Linar Mikeev, David Spieler, Verena Wolf

: Recent experimental imaging techniques are able to tag and count molecular populations in a living cell. From these data mathematical models are inferred and calibrated. If small populations are present, discrete-state stochastic models are widely-used to describe the discreteness and randomness of molecular interactions. Based on time-series data of the molecular populations, the corresponding stochastic reaction rate constants can be estimated. This procedure is computationally very challenging, since the underlying stochastic process has to be solved for different parameters in order to obtain optimal estimates. Here, we focus on the maximum likelihood method and estimate rate constants, initial populations and parameters representing measurement errors.

最近的实验成像技术能够标记和计数活细胞中的分子群。从这些数据推导和校准数学模型。如果存在小种群,则广泛使用离散状态随机模型来描述分子相互作用的离散性和随机性。根据分子居群的时间序列数据,可以估计出相应的随机反应速率常数。这个过程在计算上非常具有挑战性,因为为了获得最佳估计,必须解决不同参数的潜在随机过程。在这里,我们关注最大似然方法,估计速率常数、初始总体和代表测量误差的参数。
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引用次数: 26
Statistical discovery of site inter-dependencies in sub-molecular hierarchical protein structuring. 亚分子分层蛋白质结构中位点相互依赖关系的统计发现。
Pub Date : 2012-07-13 DOI: 10.1186/1687-4153-2012-8
Kirk K Durston, David Ky Chiu, Andrew Kc Wong, Gary Cl Li

Unlabelled:

Background: Much progress has been made in understanding the 3D structure of proteins using methods such as NMR and X-ray crystallography. The resulting 3D structures are extremely informative, but do not always reveal which sites and residues within the structure are of special importance. Recently, there are indications that multiple-residue, sub-domain structural relationships within the larger 3D consensus structure of a protein can be inferred from the analysis of the multiple sequence alignment data of a protein family. These intra-dependent clusters of associated sites are used to indicate hierarchical inter-residue relationships within the 3D structure. To reveal the patterns of associations among individual amino acids or sub-domain components within the structure, we apply a k-modes attribute (aligned site) clustering algorithm to the ubiquitin and transthyretin families in order to discover associations among groups of sites within the multiple sequence alignment. We then observe what these associations imply within the 3D structure of these two protein families.

Results: The k-modes site clustering algorithm we developed maximizes the intra-group interdependencies based on a normalized mutual information measure. The clusters formed correspond to sub-structural components or binding and interface locations. Applying this data-directed method to the ubiquitin and transthyretin protein family multiple sequence alignments as a test bed, we located numerous interesting associations of interdependent sites. These clusters were then arranged into cluster tree diagrams which revealed four structural sub-domains within the single domain structure of ubiquitin and a single large sub-domain within transthyretin associated with the interface among transthyretin monomers. In addition, several clusters of mutually interdependent sites were discovered for each protein family, each of which appear to play an important role in the molecular structure and/or function.

Conclusions: Our results demonstrate that the method we present here using a k-modes site clustering algorithm based on interdependency evaluation among sites obtained from a sequence alignment of homologous proteins can provide significant insights into the complex, hierarchical inter-residue structural relationships within the 3D structure of a protein family.

无标签:背景:利用核磁共振和 X 射线晶体学等方法了解蛋白质的三维结构已经取得了很大进展。由此产生的三维结构信息量极大,但并不总能揭示结构中哪些位点和残基特别重要。最近,有迹象表明,通过分析蛋白质家族的多序列比对数据,可以推断出蛋白质较大三维共识结构中的多残基、亚域结构关系。这些相关位点的内部依赖性群组被用来表示三维结构中的层次性残基间关系。为了揭示结构中单个氨基酸或子域成分之间的关联模式,我们在泛素和转hyretin家族中应用了k-modes属性(对齐位点)聚类算法,以发现多序列比对中各组位点之间的关联。然后,我们观察这些关联在这两个蛋白质家族的三维结构中意味着什么:我们开发的 k 模式位点聚类算法根据归一化互信息度量最大化了组内相互依存关系。所形成的聚类与亚结构成分或结合和界面位置相对应。以泛素和转甲状腺素蛋白家族的多序列排列为试验平台,应用这种以数据为导向的方法,我们找到了许多有趣的相互依赖位点关联。然后将这些聚类排列成聚类树图,发现泛素单结构域中有四个结构子域,而转酪蛋白中有一个大的子域与转酪蛋白单体之间的界面有关。此外,每个蛋白质家族都发现了几个相互依存的位点群,每个位点群似乎都在分子结构和/或功能中发挥着重要作用:我们的研究结果表明,我们在此介绍的基于同源蛋白质序列比对中获得的位点间相互依存性评估的 k-模式位点聚类算法,可以为深入了解蛋白质家族三维结构中复杂的、分层的残基间结构关系提供重要信息。
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引用次数: 0
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