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Segmentation and morphological analysis of amyloid fibrils from cryo-EM image data 冷冻电镜图像中淀粉样蛋白原纤维的分割与形态学分析
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2023-02-07 DOI: 10.1186/s13362-023-00131-8
Matthias Weber, M. Neumann, Matthias Schmidt, P. B. Pfeiffer, Akanksha Bansal, M. Fändrich, Volker Schmidt
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引用次数: 0
Deep Learning and Medical Applications 深度学习和医学应用
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2023-01-01 DOI: 10.1007/978-981-99-1839-3
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引用次数: 0
A hybrid compartmental model with a case study of COVID-19 in Great Britain and Israel. 以英国和以色列COVID-19病例为例的混合区隔模型。
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2023-01-01 DOI: 10.1186/s13362-022-00130-1
Greta Malaspina, Stevo Racković, Filipa Valdeira

Given the severe impact of COVID-19 on several societal levels, it is of crucial importance to model the impact of restriction measures on the pandemic evolution, so that governments are able to make informed decisions. Even though there have been countless attempts to propose diverse models since the rise of the outbreak, the increase in data availability and start of vaccination campaigns calls for updated models and studies. Furthermore, most of the works are focused on a very particular place or application and we strive to attain a more general model, resorting to data from different countries. In particular, we compare Great Britain and Israel, two highly different scenarios in terms of vaccination plans and social structure. We build a network-based model, complex enough to model different scenarios of government-mandated restrictions, but generic enough to be applied to any population. To ease the computational load we propose a decomposition strategy for our model.

鉴于COVID-19对多个社会层面的严重影响，建立限制措施对大流行演变影响的模型至关重要，以便政府能够做出明智的决策。尽管自疫情爆发以来已经有无数人试图提出不同的模型，但数据可用性的增加和疫苗接种运动的开始要求更新模型和研究。此外，大多数作品都集中在一个非常特定的地方或应用，我们努力获得一个更一般的模型，借助于来自不同国家的数据。特别地，我们比较了英国和以色列，两个在疫苗接种计划和社会结构方面截然不同的国家。我们建立了一个基于网络的模型，它足够复杂，可以模拟政府强制限制的不同场景，但又足够通用，可以应用于任何人群。为了减轻计算负荷，我们提出了模型的分解策略。
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引用次数: 1
Reduced order multirate schemes in industrial circuit simulation 工业电路仿真中的降阶多速率方案
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-08-20 DOI: 10.1186/s13362-022-00127-w
Bannenberg, Marcus W. F. M., Ciccazzo, Angelo, Günther, Michael
In this paper the industrial application of Reduced Order Multirate (ROMR) schemes is presented. This paper contains the mathematical foundations of the ROMR schemes and elaborates on the construction of these schemes using specific Model Order Reduction (MOR) techniques. Especially the Maximum Entropy Snapshot Sampling method for generating a reduced basis and reduction by Gauß–Newton with Approximated Tensors (GNAT). This basis generation method is also used for generating the basis for the gappy hyper-reduction method used for nonlinear function evaluation. For the multirate integration part, a Backward Differentation Formula approach to integration is used in conjunction with a coupled-slowest-first multirate approach. After introducing the numerical approach to industrial circuit simulation validation experiments are performed. First a simple academic model is used, and then an industrial test case is simulated as presented by STMicroelectronics. A significant speedup in simulation time is achieved whilst accuracy and convergence is kept.
本文介绍了降阶多速率(ROMR)方案的工业应用。本文包含了ROMR方案的数学基础，并详细阐述了这些方案的结构使用特定的模型降阶(MOR)技术。特别是生成约简基的最大熵快照采样方法和Gauß-Newton与近似张量(GNAT)的约简。该基生成方法也用于生成用于非线性函数求值的gappy超约简方法的基。对于多速率积分部分，采用后向微分公式方法与耦合最慢优先多速率方法相结合进行积分。介绍了数值方法在工业电路中的应用，并进行了仿真验证实验。首先采用简单的学术模型，然后采用意法半导体公司提供的工业测试用例进行仿真。在保持精度和收敛性的同时，实现了仿真时间的显著加快。
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引用次数: 0
Multirate DAE-simulation and its application in system simulation software for the development of electric vehicles 多速率dae仿真及其在电动汽车开发系统仿真软件中的应用
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-08-17 DOI: 10.1186/s13362-022-00126-x
Kolmbauer, Michael, Offner, Günter, Pfau, Ralf Uwe, Pöchtrager, Bernhard
This work is devoted to the efficient simulation of large multi-physical networks stemming from automated modelling processes in system simulation software. The simulation of hybrid, battery and fuel cell electric vehicle applications requires the coupling of electrical, mechanical, fluid, and thermal networks. Each network is established by combining the connection structure of a graph with physical equations of elementary components and resulting in a DAE (differential algebraic equation). To speed up the simulation a non-iterative multirate time integration co-simulation method for the system of coupled DAEs is established. The power of the multirate method is shown via two representative examples of battery powered electric vehicle with a cooling system for the battery pack and a three phase inverter with a cooling system. This work is an extended version of (Kolmbauer et al. in Scientific Computing in Electrical Engineering (SCEE 2020), Springer, Cham, pp. 231–240, 2021).
这项工作致力于大型多物理网络的高效仿真，源于系统仿真软件中的自动化建模过程。混合动力、电池和燃料电池电动汽车应用的仿真需要电、机械、流体和热网络的耦合。将图的连接结构与初等分量的物理方程相结合，得到一个微分代数方程(DAE)，从而建立每个网络。为了加快仿真速度，建立了耦合DAEs系统的非迭代多速率时间积分联合仿真方法。通过具有用于电池组的冷却系统的电池供电的电动汽车和具有冷却系统的三相逆变器的两个代表性示例显示了多倍率方法的功率。这项工作是(Kolmbauer et al. in Scientific Computing in Electrical Engineering (SCEE 2020)， Springer, Cham, pp. 231 - 240,2021)的扩展版本。
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引用次数: 1
A mathematical model for the corneal transparency problem 角膜透明度问题的数学模型
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-05-06 DOI: 10.1186/s13362-022-00125-y
Araújo, Adérito, Barbeiro, Sílvia, Bernardes, Rui, Morgado, Miguel, Sakić, Sunčica
Understanding the physical basis of corneal transparency has been a subject of interest amongst physicists, basic scientists and ophthalmologists. Impairment of corneal clarity is a significant cause of visual morbidity worldwide. Thus, it is essential to understand the mechanisms behind corneal transparency and how the alterations due to corneal pathologies affect vision. We use Maxwell’s equations to model light propagation in ocular tissues and a nodal discontinuous Galerkin method combined with an explicit Runge-Kutta method to simulate light propagation in normal and pathological corneas. Our simulation results illustrate that an increase in the diameter of some fibres causes an increase in backscattering. Thus, these may represent some of the physical changes in the cornea that might result in loss of transparency and visual morbidity.
了解角膜透明的物理基础一直是物理学家、基础科学家和眼科医生感兴趣的课题。角膜清晰度的损害是世界范围内视力发病率的一个重要原因。因此，了解角膜透明度背后的机制以及角膜病变如何影响视力是至关重要的。我们使用麦克斯韦方程组来模拟光在眼组织中的传播，并使用结不连续伽辽金方法结合显式龙格-库塔方法来模拟正常和病理角膜中的光传播。我们的模拟结果表明，一些光纤直径的增加会导致后向散射的增加。因此，这些可能代表了角膜的一些物理变化，可能导致透明度的丧失和视力的发病率。
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引用次数: 0
Hybrid modeling: towards the next level of scientific computing in engineering 混合建模:迈向工程科学计算的新阶段
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-03-03 DOI: 10.1186/s13362-022-00123-0
S. Kurz, H. de Gersem, Armin Galetzka, A. Klaedtke, M. Liebsch, Dimitrios Loukrezis, S. Russenschuck, Manuel Schmidt
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引用次数: 12
Electric circuit element boundary conditions in the finite element method for full-wave passive electromagnetic devices 全波无源电磁器件有限元法中的电路元件边界条件
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-02-23 DOI: 10.1186/s13362-022-00122-1
Ciuprina, Gabriela, Ioan, Daniel, Sabariego, Ruth V.
A natural coupling of a circuit with an electromagnetic device is possible if special boundary conditions, called Electric Circuit Element (ECE), are used for the electromagnetic field formulation. This contribution shows how these ECE boundary conditions can be implemented into the 3D-finite element method for solving coupled full-wave electromagnetic (EM) field-circuit problems in the frequency domain. The frequency response allows the extraction of a reduced order model of the analyzed device, accounting for all the EM field effects. The implementation is based on a weak formulation that uses the electric field strength E strictly inside the domain and a scalar potential V defined solely at the boundary. Edge elements for E are used inside the three-dimensional domain and nodal elements for V are used on its two-dimensional boundary. The weak formulation is described and implemented in the free environment Open Numerical Engineering LABoratory (onelab). The validation is carried out on 3D examples.
如果在电磁场公式中使用称为电路元件(ECE)的特殊边界条件，则电路与电磁器件的自然耦合是可能的。这一贡献显示了如何将这些ECE边界条件实现到3d有限元方法中，以解决频域的耦合全波电磁(EM)场路问题。频率响应允许提取被分析器件的降阶模型，考虑所有电磁场效应。该实现基于一个弱公式，该公式严格使用域内的电场强度E和仅在边界处定义的标量势V。在三维区域内使用E的边缘元素，在二维边界上使用V的节点元素。在开放数值工程实验室(onelab)的自由环境下对弱公式进行了描述和实现。在三维算例上进行了验证。
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引用次数: 2
On torque computation in electric machine simulation by harmonic mortar methods 谐波砂浆法在电机仿真中的转矩计算
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-31 DOI: 10.1186/s13362-022-00121-2
Egger, Herbert, Harutyunyan, Mané, Löscher, Richard, Merkel, Melina, Schöps, Sebastian
The use of trigonometric polynomials as Lagrange multipliers in the harmonic mortar method enables an efficient and elegant treatment of relative motion in the stator-rotor coupling of electric machine simulation. Explicit formulas for the torque computation are derived by energetic considerations, and their realization by harmonic mortar finite element and isogeometric analysis discretizations is discussed. Numerical tests are presented to illustrate the theoretical results and demonstrate the potential of harmonic mortar methods for the evaluation of torque ripples.
在谐波砂浆法中使用三角多项式作为拉格朗日乘子，可以有效而优雅地处理电机定转子耦合仿真中的相对运动。从能量分析的角度推导了扭矩计算的显式公式，并讨论了谐波砂浆有限元和等几何分析离散化的实现方法。通过数值试验验证了理论结果，并证明了调和砂浆法在评估转矩波纹方面的潜力。
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引用次数: 2
Multistep schemes for solving backward stochastic differential equations on GPU GPU上求解倒向随机微分方程的多步格式
IF 2.6 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Journal of Mathematics in Industry
Pub Date : 2022-01-28 DOI: 10.1186/s13362-021-00118-3
Lorenc Kapllani, L. Teng
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引用次数: 3
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