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Proceeding Series of the Brazilian Society of Computational and Applied Mathematics最新文献

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A Influência de Jagged durante a angiogênese Jagged 在血管生成过程中的影响
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0010
D. Nascimento, Allbens P. F. Atman
baseado
根据
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引用次数: 0
Dinâmica da função zeta de Artin-Mazur associada à inversões geométricas 与几何反演相关的阿尔丁-马祖尔zeta函数的动力学特性
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0041
Arlane Manoel, S. Vieira, Kenio Alexsom de Almeida, Raibel de, Jesus Arias Cantillo
Resumo
简历
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引用次数: 0
Applications of Randers metric to track the paths through which the fire surrounds the power transmission lines 应用兰德斯度量法跟踪输电线路周围的火灾路径
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0024
Hengameh R. Dehkordi
. We utilize Randers geometry to model the propagation of fire waves, deriving the equations for paths surrounding power transmission lines in a flat terrain during a wildfire outbreak with varying wind patterns. These paths, known as strategic paths, can play a critical role in managing firefighting strategies. By identifying these paths, we can allocate firefighters and resources to specific locations instead of trying to cover a large area. This approach enables us to predict the path of the fire toward the transmission lines, thus reducing the time and cost of firefighting operations. We demonstrate the effectiveness of our approach using MATLAB by simulating two hypothetical wildfire scenarios.
.我们利用兰德斯几何模型来模拟火浪的传播,推导出了在不同风型的野火爆发期间,在平坦地形中输电线路周围路径的方程。这些路径被称为战略路径,可在管理灭火策略方面发挥关键作用。通过识别这些路径,我们可以将消防员和资源分配到特定地点,而不是试图覆盖大片区域。这种方法使我们能够预测火势烧向输电线路的路径,从而减少灭火行动的时间和成本。我们使用 MATLAB 模拟了两种假设的野火情况,证明了我们的方法的有效性。
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引用次数: 0
Flexágonos: propostas didáticas para o ensino de Geometria Flexagons:几何教学的教学建议
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0054
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引用次数: 0
Modelagem Matemática: a evolução e o tratamento da Doença de Parkinson 数学建模:帕金森病的演变与治疗
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0071
A. Fonseca, J. Frederico, C. A. Meyer, Dayse H. Pastore, Palavras-chave . Modelo Matemático, Doença de Biomatemática, Parkinson
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引用次数: 0
Otimização Fuzzy no Planejamento da IMRT IMRT 规划中的模糊优化
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0081
Nicole Cristina, Cassimiro de Oliveira, A. R. L. Oliveira
Resumo . A radioterapia é uma modalidade de tratamento do câncer que consiste no uso de uma fonte de radiação ionizante que destrói o tumor. Em termos de tratamentos mais modernos, a radioterapia com intensidade modulada (IMRT) possibilita a variação de intensidade da fluência da radiação, alcançando uma distribuição de dose com conformidade superior, viabilizando ainda irradiação concomitante de diferentes alvos e doses. Diante disto, o problema de distribuição de doses no planejamento ótimo da IMRT traduz-se em otimizar a dosagem total de radiação aplicada ao paciente, sendo modelado utilizando técnicas de Programação Matemática. Para tal objetivo, utiliza-se a Otimização Fuzzy , devido às incertezas de dosagem, com a abordagem de funções sur-presas, para aplicar o Método de Pontos Interiores Primal-Dual, a fim de determinar um plano de tratamento viável
摘要 .放疗是一种癌症治疗方法,包括使用电离辐射源摧毁肿瘤。在更现代化的治疗中,调强放射治疗(IMRT)可以改变辐射通量的强度,使剂量分布具有更好的一致性,同时还能同时照射不同的靶点和剂量。有鉴于此,IMRT 最佳规划中的剂量分布问题涉及优化患者的总辐射剂量,并使用数学编程技术进行建模。为此,由于剂量的不确定性,我们采用了模糊优化法(Fuzzy Optimisation)和惊喜函数法(Quick Function),应用原始-双重内部点法(Primal-Dual Interior Point Method)来确定可行的治疗方案。
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引用次数: 0
O GeoGebra e o floco de neve no ensino das transformações geométricas GeoGebra 和雪花在几何变换教学中的应用
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0075
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引用次数: 0
A brief discussion on the choice of a model to simulate drill-string dynamics 简要讨论模拟钻柱动态的模型选择
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0006
H. Goicoechea, R. Lima, R. Sampaio, F. Buezas
. A comparison of the dynamics obtained using two different models of a drill-string is made. A structure that is 1200 m long is analysed. In the first model, a two degrees-of-freedom (DOF) approach is used, where 1-axial DOF and 1-torsional DOF are considered. This model has been widely used in the literature. The second model maintains the 1-DOF axial formulation and employs a wave-equation for the torsional part. In both cases, the structural dynamics are coupled with the dynamics of the cutting through the depth-of-cut used in the bit-rock interaction relation. To calculate the previous depth, an advection equation is solved along with the equations of motion. One application case is simulated. The results show that the dynamics differ considerably. This suggests that the second model, with a continuous torsional shaft, could be capturing aspects of the dynamics that are neglected in the 2-DOF approach.
.对使用两种不同的钻杆模型获得的动态效果进行了比较。分析了一个 1200 米长的结构。在第一个模型中,使用了双自由度(DOF)方法,其中考虑了 1 个轴向 DOF 和 1 个扭转 DOF。该模型已在文献中广泛使用。第二个模型保留了 1-DOF 轴向公式,并对扭转部分采用了波方程。在这两种情况下,结构动力学都是通过钻头与岩石相互作用关系中使用的切削深度与切削动力学耦合的。为了计算前一个深度,平流方程与运动方程一起求解。对一个应用案例进行了模拟。结果表明,动态效果差别很大。这表明,第二种带有连续扭转轴的模型可能捕捉到了在 2-DOF 方法中被忽略的动力学方面。
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引用次数: 0
Fractional Differentiation and Integration for Fuzzy Functions on Time Scales 时间尺度上模糊函数的分数微分与积分
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0056
Mina Shahidi, E. Esmi, L. C. Barros
. In this paper, we propose a new definition of the fractional derivative and fractional integral for fuzzy functions on time scales. The introduced derivative is a natural extension of the Hukuhara derivative. Furthermore, some properties of the introduced derivative and integral are studied. Some examples are provided to illustrate the obtained results.
.本文提出了时间尺度上模糊函数的分数导数和分数积分的新定义。引入的导数是 Hukuhara 导数的自然扩展。此外,我们还研究了引入的导数和积分的一些性质。还提供了一些例子来说明所获得的结果。
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引用次数: 0
An OpenFOAM-based multiphase solver for physical systems with stationary and moving phases using a coupled solution for phase fractions 基于 OpenFOAM 的多相求解器,使用相分数耦合求解法求解具有固定相和移动相的物理系统
Pub Date : 2023-12-18 DOI: 10.5540/03.2023.010.01.0018
Franciane Fracalossi Rocha, Amanda H. L. Matos, Gabriel Marcos Magalhães, Hélio Ribeiro Neto, Roberto Lange
. This work presents the formulation, verification, and application of an OpenFOAM-based multiphase solver for physical systems with moving and stationary phases. The latter is used to model porous media, allowing for the simulation of multiphase flow processes applied to many areas of science and engineering. The model considers an implicit coupled solution of the phase-fraction equations for an arbitrary number of phases in the system, providing better approximations when compared to the standard segregated solution. We present verification tests simulated in scenarios with different numbers of moving phases, along with an application case.
.这项工作介绍了基于 OpenFOAM 的多相求解器的制定、验证和应用,该求解器适用于具有运动相和固定相的物理系统。多相求解器用于多孔介质建模,可以模拟应用于许多科学和工程领域的多相流动过程。该模型考虑了系统中任意相数的相分数方程的隐式耦合解,与标准分离解相比,提供了更好的近似值。我们介绍了在具有不同移动相数的情况下模拟的验证测试,以及一个应用案例。
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引用次数: 0
期刊
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics
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