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Unraveling the Complexity of Nano-Dispersoids in the Oxide Dispersion Strengthened Alloy 617. 揭示氧化物分散强化合金 617 中纳米分散体的复杂性。
IF 2.8 Pub Date : 2022-05-26 DOI: 10.1017/S143192762200071X
Shyam Kanta Sinha, Arup Dasgupta, M Sivakumar, Chanchal Ghosh, S Raju

Nanocrystalline oxides are mainly responsible for Ni-base oxide dispersion strengthened (ODS) superalloys excellent thermo-mechanical properties. To establish the microstructural correlations between the metallic matrix and various oxide dispersoids, we report here the atomic-scale structure and chemistry of the complex nano-oxide dispersoids. Ultrahigh-resolution Cs-aberration-corrected scanning transmission electron microscopy (STEM) based techniques have been used to resolve nano-dispersoids in the Alloy 617 ODS. These nano-oxides, interestingly, possess a variety of high-angle annular dark-field (HAADF) contrasts, that is, bright, dark, and bi-phases. Both the light and heavy atoms have been found to be present in Y–Al–O complex-oxide nanostructures in varying quantities and forming a characteristic interface with the metallic matrix. In overcoming the limitation of conventional STEM-HAADF imaging, the integrated differential phase-contrast imaging technique was employed to investigate the oxygen atoms along with other elements in the dispersoids and its interface with the matrix. The most intriguing aspect of the study is the discovery of a few atoms thick Al2O3 interlayer (shell) around a monoclinic Y–Al–O core in the Ni-matrix. On the other hand, when the dispersoid is a hexagonal type Y–Al–O complex, the interface energy is already low, maintaining a semi-coherent interface and it was devoid of a shell.

纳米氧化物是镍基氧化物分散强化(ODS)超合金具有优异热机械性能的主要原因。为了建立金属基体与各种氧化物分散体之间的微观结构相关性,我们在此报告了复杂纳米氧化物分散体的原子尺度结构和化学性质。我们采用基于 Cs 差校正的超高分辨率扫描透射电子显微镜(STEM)技术来解析合金 617 ODS 中的纳米分散体。有趣的是,这些纳米氧化物具有各种高角度环形暗场(HAADF)对比,即亮相、暗相和双相。研究发现,Y-Al-O 复氧化物纳米结构中存在不同数量的轻重原子,并与金属基体形成特征界面。为了克服传统 STEM-HAADF 成像的局限性,我们采用了综合差分相位对比成像技术来研究分散体中的氧原子和其他元素及其与基体的界面。这项研究最引人入胜之处在于,在镍基体中的单斜 Y-Al-O 核心周围发现了几原子厚的 Al2O3 夹层(壳)。另一方面,当分散体是六方型 Y-Al-O 复合物时,界面能已经很低,保持了半相干界面,没有壳。
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引用次数: 0
A Probabilistic Analysis of Shotgun Sequencing for Metagenomics 宏基因组学Shotgun测序的概率分析
Pub Date : 2022-01-13 DOI: 10.1137/22s1472437
Marlee Herring
Genome sequencing is the basis for many modern biological and medicinal studies. With recent technological advances, metagenomics has become a problem of interest. This problem entails the analysis and reconstruction of multiple DNA sequences from different sources. Shotgun genome sequencing works by breaking up long DNA sequences into shorter segments called reads. Given this collection of reads, one would like to reconstruct the original collection of DNA sequences. For experimental design in metagenomics, it is important to understand how the minimal read length necessary for reliable reconstruction depends on the number and characteristics of the genomes involved. Utilizing simple probabilistic models for each DNA sequence, we analyze the identifiability of collections of M genomes of length N in an asymptotic regime in which N tends to infinity and M may grow with N. Our first main result provides a threshold in terms of M and N so that if the read length exceeds the threshold, then a simple greedy algorithm successfully reconstructs the full collection of genomes with probability tending to one. Our second main result establishes a lower threshold in terms of M and N such that if the read length is shorter than the threshold, then reconstruction of the full collection of genomes is impossible with probability tending to one.
基因组测序是许多现代生物学和医学研究的基础。随着近年来技术的进步,宏基因组学已经成为一个令人感兴趣的问题。这个问题需要分析和重建来自不同来源的多个DNA序列。霰弹枪基因组测序的工作原理是将长DNA序列分解成称为reads的较短片段。有了这些读数,人们想要重建原始的DNA序列。对于宏基因组学的实验设计,重要的是要了解可靠重建所需的最小读取长度如何取决于所涉及基因组的数量和特征。利用每个DNA序列的简单概率模型,我们分析了长度为N的M个基因组集合在N趋近于无穷大且M随N增长的渐近状态下的可识别性。我们的第一个主要结果提供了M和N的阈值,如果读取长度超过阈值,那么一个简单的贪婪算法成功地重建了概率趋近于1的完整基因组集合。我们的第二个主要结果用M和N建立了一个较低的阈值,这样,如果读取长度短于阈值,那么整个基因组集合的重建是不可能的,概率趋于1。
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引用次数: 0
A Mathematical Analysis of Reconstruction Artifacts in Radar Limited Data Tomography 雷达有限数据层析成像重建伪影的数学分析
Pub Date : 2022-01-01 DOI: 10.1137/21s1468759
Elena Martinez
. In the study of tomography, there are often missing data values. This 4 leads artifacts to present themselves in data reconstructions. We investigate this 5 problem in a bistatic radar system that has a radio transmitter in a fixed location 6 and a receiver flying around the transmitter in a circular path. Our data is collected 7 by integrating over all ellipses in a given space that have the transmitter and receiver 8 as foci. We reconstruct this numerical data and analyze the artifacts that present 9 themselves when we place objects within and outside of the receiver’s path. Our 10 research demonstrates how objects outside the receiver’s path can create artifacts 11 inside the receiver’s path and vice versa. This shows an intrinsic limitation to a 12 method that works well when the scanned region outside the receiver’s path is clear.
. 在断层扫描的研究中,经常存在数据值缺失的问题。这4导致工件在数据重构中表现出来。我们在一个双基地雷达系统中研究了这个问题,该系统在固定位置有一个无线电发射机,接收器在发射机周围以圆形路径飞行。我们的数据是通过对给定空间中以发射器和接收器为焦点的所有椭圆进行积分来收集的。我们重建这些数字数据,并分析当我们在接收器路径内外放置物体时呈现的伪影。我们的研究展示了接收者路径之外的对象如何在接收者路径内创建工件,反之亦然。这表明当接收器路径之外的扫描区域清晰时,12方法工作良好的内在局限性。
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引用次数: 0
hp Gauss-Legendre Quadrature for Layer Functions 层函数的高斯-勒让德正交
Pub Date : 2022-01-01 DOI: 10.1137/22s1514866
Kleio Liotati
. We consider the numerical approximation of integrals involving layer functions, which appear as components in the solution of singularly perturbed boundary value problems. The hp version of the Gauss-Legendre composite quadrature, from [1], is utilized in conjunction with the Spectral Boundary Layer mesh from [2]. We show that the error goes to zero exponentially fast, as the number of Gauss points increases, independently of the singular perturbation parameter. Numerical examples illustrating the theory are also presented.
. 考虑了在奇异摄动边值问题解中以分量形式出现的层函数积分的数值逼近。来自[1]的高斯-勒让德复合正交的hp版本与来自[2]的光谱边界层网格结合使用。我们表明,随着高斯点数量的增加,误差以指数速度趋于零,与奇异扰动参数无关。最后给出了数值算例。
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引用次数: 0
Neural Network Approach to NFL Position Classification 神经网络在NFL位置分类中的应用
Pub Date : 2022-01-01 DOI: 10.1137/21s1444485
Sithija Manage
With an ever-increasing captivation of the United States sports-viewing audience, the National Football League continues to produce some of the world’s most capable, physical athletes. In this work, athletes’ positions C, OG, OT, DE, and DT were categorized as on the line , while the remaining positions were categorized as not on the line . In this work, a predictive neural network is applied to classify 2,022 National Football League players into the two classifications using scouting combine data of height, weight, and 40-Yard dash time, outperforming the current standard logistic regression. The two measures utilized to compare the strength of the methods were total accuracy and area under ROC curve, with the neural network yielding a slightly higher average in both. In terms of total accuracy, the neural network had an accuracy of 0.9134 to the logistic model’s 0.9065, and in terms of area under ROC curve, the neural network had an area of 0.9578 compared to the logistic model’s 0.9567. As a head-to-head iteration-wise comparison, the neural network had a winning Win-Loss-Tie ratio of 7-2-1 and 5-5-0 in the two measures respectively.
随着越来越多的美国体育观众着迷,美国国家橄榄球联盟继续培养出一些世界上最有能力、身体素质最好的运动员。在这项工作中,运动员的C、OG、OT、DE和DT位置被归类为在线,其余位置被归类为非在线。在这项工作中,应用预测神经网络,利用身高、体重和40码冲刺时间的球探组合数据,将2022名美国国家橄榄球联盟球员分为两类,优于目前标准的逻辑回归。用于比较两种方法的强度的两个指标是总精度和ROC曲线下的面积,神经网络在这两个方面的平均值略高。在总准确率方面,神经网络的准确率为0.9134,而logistic模型的准确率为0.9065;在ROC曲线下面积方面,神经网络的准确率为0.9578,而logistic模型的准确率为0.9567。作为正面迭代比较,神经网络在两个度量中的胜败比分别为7-2-1和5-5-0。
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引用次数: 0
The Effects of Seasonality on Competition for a Limiting Resource 季节性对有限资源竞争的影响
Pub Date : 2022-01-01 DOI: 10.1137/21s1458132
Lluc Briganti Wiprachtiger
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引用次数: 0
An Agent-Based Model of COVID-19 on the Diamond Princess Cruise Ship 基于agent的钻石公主号邮轮COVID-19模型
Pub Date : 2022-01-01 DOI: 10.1137/21s1462520
Naomi A. Rankin
. We model the COVID-19 outbreak and shipboard quarantine with a 3-D agent-based simulation of a SEIR model which preserves the ratios of crew, passengers, and shipboard space. The stochastic model captures the movement patterns of passengers and crew members on-board the ship, as well as how this movement changed once quarantine is established. The study includes the derivation of the basic reproduction number based on contact numbers and transmission rates. We capture the number of contacts between two people when they remain within the model equivalent of a 3-foot radius for 60 minutes and the transmission probability per contact. We show that, based on the measured reproduction number, an outbreak is bound to occur in the majority of simulations even with quarantine imposed on the ship. We also show that most infection on board occurs by others of the same group (passenger or crew), with passengers causing the majority of infections.
. 我们通过基于3d代理的SEIR模型模拟COVID-19爆发和船上隔离,该模型保留了船员、乘客和船上空间的比例。随机模型捕捉了船上乘客和船员的运动模式,以及这种运动在隔离建立后的变化。该研究包括基于接触数和传播率的基本繁殖数的推导。当两个人在相当于3英尺半径的模型内停留60分钟时,我们捕获他们之间的接触次数以及每次接触的传播概率。我们表明,根据测量的繁殖数量,即使在船上实施隔离,在大多数模拟中也必然会发生疫情。我们还显示,船上的大多数感染发生在同一群体的其他人(乘客或机组人员)身上,其中乘客造成的感染最多。
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引用次数: 0
Accelerating Parameter Inference in Diffusion-Reaction Models of Glioblastoma Using Physics-Informed Neural Networks 利用物理信息神经网络加速胶质母细胞瘤扩散反应模型的参数推断
Pub Date : 2022-01-01 DOI: 10.1137/22s1472814
Andy Zhu
Glioblastoma is an aggressive brain tumor with cells that infiltrate and proliferate rapidly into surrounding brain tissue. Current mathematical models of glioblastoma growth capture this behavior using partial differential equations (PDEs) that are simulated via numerical solvers—a highly-efficient im-plementation can take about 80 seconds to complete a single forward evaluation. However, clinical applications of tumor modeling are often framed as inverse problems that require sophisticated numerical methods and, if implemented naively, can lead to prohibitively long runtimes that render them inadequate for clinical settings. Recently, physics-informed neural networks (PINNs) have emerged as a novel method in scientific machine learning for solving nonlinear PDEs. Compared to traditional solvers, PINNs leverage unsupervised deep learning methods to minimize residuals across mesh-free domains, enabling greater flexibility while avoiding the need for complex grid constructions. Here, we describe and implement a general method for solving time-dependent diffusion-reaction PDE models of glioblastoma and inferring biophysical parameters from numerical data via PINNs. We evaluate the PINNs over patient-specific geometries, accounting for individual variations with diffusion mobilities derived from pre-operative MRI scans. Using synthetic data, we demonstrate the performance of our algorithm in patient-specific geometries. We show that PINNs are capable of solving parameter inference inverse problems in approximately one hour, expediting previous approaches by 20–40 times owing to the robust interpolation capabilities of machine learning algorithms. We anticipate this method may be sufficiently accurate and efficient for clinical usage, potentially rendering personalized treatments more accessible in standard-of-care medical protocols.
胶质母细胞瘤是一种侵袭性脑肿瘤,其细胞浸润并迅速增殖到周围脑组织。目前胶质母细胞瘤生长的数学模型使用偏微分方程(PDEs)捕获这种行为,该方程通过数值求解器模拟-一种高效的实现-可以花费大约80秒来完成单个正向评估。然而,肿瘤建模的临床应用通常被框定为需要复杂数值方法的逆问题,如果天真地实施,可能导致运行时间过长,使其不适合临床设置。近年来,物理信息神经网络(pinn)已成为解决非线性偏微分方程的科学机器学习的一种新方法。与传统的求解器相比,pinn利用无监督深度学习方法来最小化无网格域的残差,从而实现更大的灵活性,同时避免了对复杂网格结构的需求。在这里,我们描述并实现了一种求解胶质母细胞瘤时间依赖性扩散反应PDE模型的通用方法,并通过pinn从数值数据推断生物物理参数。我们评估了患者特定几何形状的pinn,计算了术前MRI扫描得出的扩散活动性的个体差异。使用合成数据,我们演示了算法在特定于患者的几何形状中的性能。我们表明,pinn能够在大约一个小时内解决参数推理逆问题,由于机器学习算法的鲁棒插值能力,将以前的方法加快了20-40倍。我们预计这种方法在临床使用中可能足够准确和有效,有可能使个性化治疗在标准医疗方案中更容易获得。
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引用次数: 3
The Effect of Academic Performance on Athletic Success in Collegiate Athletic Programs 大学体育项目中学业成绩对运动成功的影响
Pub Date : 2022-01-01 DOI: 10.1137/22s1491216
Derek Brickley
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引用次数: 0
Characterising Dark Matter Substructure in Gravitational Lens Galaxies with Deep Learning 用深度学习表征引力透镜星系中的暗物质子结构
Pub Date : 2022-01-01 DOI: 10.1137/22s1478033
Owen J. Scutt
. We investigate the novel application of two sequential convolutional neural networks (CNNs) for the char-acterisation of dark matter substructure in lensing galaxies from galaxy-galaxy strong gravitational lensing images. In our configuration, an initial CNN predicts the number of substructures from a gravitationally lensed image and then this number, along with the same image, is input to a second CNN which predicts the power-law slope of the substructure mass distribution function. We have trained and tested the CNNs on simulated images created by lensing a galaxy-like light distribution with a foreground galaxy mass. We find that training and testing the CNNs on images created with a fixed lens geometry allows the number of substructures and the mass function power-law slope to be retrieved well. We then explore the effect of reducing the resolution of images such that the image pixel scale is halved finding that the accuracy of the number of predicted substructures decreases by only 7% while the accuracy of the predicted mass function slope decreases by 25%. When we allow variation in lens geometry between images in the test set, to mimic more physically motivated lens samples, we observe a decrease in accuracy of the number of predicted substructures and the mass function slope of 57% and 81% respectively. We attribute this significant degradation in predicting the mass function power-law slope to the degradation in the performance of the number-predicting CNN by comparing with predictions of the slope that are made when the CNN is given the true number of substructures. We discuss future possible improvements and the impact of the computing hardware available for this work.
. 我们研究了两个序列卷积神经网络(cnn)在从星系-星系强引力透镜图像中表征透镜星系中暗物质子结构的新应用。在我们的配置中,初始CNN从引力透镜图像中预测子结构的数量,然后将该数字与相同的图像一起输入到第二个CNN中,该CNN预测子结构质量分布函数的幂律斜率。我们已经在模拟图像上训练和测试了cnn,这些模拟图像是由星系状的光分布与前景星系质量透镜产生的。我们发现,在使用固定透镜几何形状创建的图像上训练和测试cnn,可以很好地检索子结构的数量和质量函数幂律斜率。然后,我们探索降低图像分辨率的影响,使图像像素尺度减半,发现预测子结构数量的准确性仅降低了7%,而预测质量函数斜率的准确性降低了25%。当我们允许测试集中图像之间透镜几何形状的变化,以模拟更多的物理动机透镜样本时,我们观察到预测子结构数量的准确性和质量函数斜率分别下降了57%和81%。我们将这种预测质量函数幂律斜率的显著下降归因于数量预测CNN性能的下降,通过与给定子结构的真实数量时对斜率的预测进行比较。我们讨论了未来可能的改进以及可用于这项工作的计算硬件的影响。
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引用次数: 0
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SIAM undergraduate research online
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