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Enhancing fitness action recognition with ResNet-TransFit: Integrating IoT and deep learning techniques for real-time monitoring 利用 ResNet-TransFit 增强健身动作识别:整合物联网和深度学习技术,实现实时监测
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.07.068

With the growing popularity of fitness, the demand for real-time action recognition and feedback is increasing. Current research faces challenges in handling complex actions, real-time processing, and system integration. To address these issues, we propose a novel fitness action recognition model that integrates ResNet, Transformer, and transfer learning techniques. Specifically, ResNet is used for image feature extraction, Transformer handles time-series data processing, and transfer learning accelerates the model’s adaptation to new data. We evaluated our model on the NTU RGB+D action recognition dataset, achieving 48.5 ms latency, 29.1 fps throughput, and 93.7% accuracy, significantly outperforming other models. Our model achieved an accuracy improvement of 5% over existing methods, demonstrating significant potential for real-time fitness monitoring. By incorporating IoT technology, our system enables real-time data processing and action recognition, making it ideal for smart fitness monitoring. Although the model has high complexity and memory usage, its efficiency and accuracy demonstrate its potential for widespread adoption. Future work will focus on optimizing the model structure and training methods to enhance applicability in resource-constrained environments, ensuring broader usability and efficiency in various real-world applications.

随着健身运动的日益普及,对实时动作识别和反馈的需求也在不断增加。目前的研究在处理复杂动作、实时处理和系统集成方面面临挑战。为了解决这些问题,我们提出了一种新型健身动作识别模型,该模型集成了 ResNet、Transformer 和迁移学习技术。具体来说,ResNet 用于图像特征提取,Transformer 处理时间序列数据,而迁移学习则加速模型对新数据的适应。我们在北师大 RGB+D 动作识别数据集上评估了我们的模型,结果显示延迟为 48.5 毫秒,吞吐量为 29.1 fps,准确率为 93.7%,明显优于其他模型。我们的模型比现有方法的准确率提高了 5%,显示了实时健身监测的巨大潜力。通过结合物联网技术,我们的系统实现了实时数据处理和动作识别,是智能健身监测的理想选择。虽然该模型的复杂性和内存使用率较高,但其效率和准确性证明了其广泛应用的潜力。未来的工作将侧重于优化模型结构和训练方法,以提高在资源受限环境中的适用性,确保在各种实际应用中更广泛的可用性和效率。
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引用次数: 0
Enhancing human pose estimation in sports training: Integrating spatiotemporal transformer for improved accuracy and real-time performance 增强运动训练中的人体姿势估计:整合时空变换器,提高准确性和实时性
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.072

Human pose estimation in sports training is a critical application within Internet of Things (IoT) environments, leveraging IoT devices to enhance performance analysis and injury prevention. Current methods struggle with real-time processing and accuracy in dynamic settings, especially with high-speed movements and diverse data. To address these challenges, we propose a novel dual-channel architecture combining Spatiotemporal Transformer and Temporal Convolutional Network (TCN), integrated into an IoT system. Our model collects real-time motion data through IoT devices, including videos, depth information, and sensor data, combining global spatiotemporal features with local temporal dependencies to enhance pose understanding and estimation accuracy. The Spatiotemporal Transformer uses multi-head self-attention to process global features, while the TCN captures local temporal dependencies across frames. A residual fusion mechanism integrates these features for comprehensive pose estimation. Extensive experiments on the Human3.6M and MPI-INF-3DHP datasets demonstrate that our model significantly outperforms existing methods, achieving Mean Per Joint Position Error (MPJPE) scores of 42.2 mm and 29.1 mm on Human3.6M. This research advances 3D human pose estimation and offers a practical tool for sports training through precise, efficient pose analysis, leveraging deep learning and IoT technologies to enhance athletic performance and prevent injuries.

运动训练中的人体姿态估计是物联网(IoT)环境中的一项重要应用,它利用物联网设备来加强成绩分析和伤害预防。目前的方法难以在动态环境中实现实时处理和准确性,尤其是在高速运动和多样化数据的情况下。为了应对这些挑战,我们提出了一种新颖的双通道架构,将时空变换器和时空卷积网络(TCN)集成到物联网系统中。我们的模型通过物联网设备收集实时运动数据,包括视频、深度信息和传感器数据,将全局时空特征与局部时间依赖性相结合,以增强姿势理解和估计精度。时空变换器利用多头自注意力来处理全局特征,而时空网络则捕捉跨帧的局部时间依赖性。残差融合机制整合了这些特征,以进行综合姿势估计。在 Human3.6M 和 MPI-INF-3DHP 数据集上进行的广泛实验表明,我们的模型明显优于现有方法,在 Human3.6M 数据集上的平均每关节位置误差 (MPJPE) 分数分别为 42.2 毫米和 29.1 毫米。这项研究推动了三维人体姿态估计,并通过精确、高效的姿态分析为体育训练提供了实用工具,同时利用深度学习和物联网技术提高了运动成绩并预防了损伤。
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引用次数: 0
An optimized heterogeneous multi-access edge computing framework based on transfer learning and artificial internet of things 基于迁移学习和人工物联网的优化异构多接入边缘计算框架
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.105

In most practical applications, the feature space of the training datasets and the target domain datasets are inconsistent, or the data distribution between them is inconsistent, which leads to the problem of data starvation and makes it difficult for terminal devices to obtain high accurate results. Aiming at the problems of limited terminal device resources, low accuracy of data processing results, and unsatisfactory processing speed, a Heterogeneous Multi-access Edge Computing (MEC) Framework based on Transfer Learning (TL) is proposed, abbreviated as HMECF-TL. This framework adopts a cloud-edge-end three-layer architecture. It uses model transfer to optimize the Convolutional Neural Networks (CNN) model at each layer to achieve the goal of improving data processing speed and accuracy. Furthermore, a multi-agent Deep Reinforcement Learning Algorithm having Attention Mechanism (DRLAAM) is designed to further increase the timeliness performance of computation-intensive applications. The performance of HMECSF-TL framework is verified by simulation experiments, which not only reduces the delay by more than 24.66 %, but also improves the accuracy by more than 8.34 %. The framework not only increase the computing capacity to solve the shortage of terminal device resources, but also improve the quality of data processing to solve the problem of data starvation.

在大多数实际应用中,训练数据集的特征空间与目标域数据集的特征空间不一致,或者两者之间的数据分布不一致,从而导致数据饥饿问题,使终端设备难以获得高精度的结果。针对终端设备资源有限、数据处理结果精度低、处理速度不理想等问题,提出了一种基于迁移学习(TL)的异构多接入边缘计算(MEC)框架,简称HMECF-TL。该框架采用云-边-端的三层架构。它利用模型迁移来优化各层的卷积神经网络(CNN)模型,从而实现提高数据处理速度和准确性的目标。此外,还设计了具有注意机制的多代理深度强化学习算法(DRLAAM),以进一步提高计算密集型应用的及时性。仿真实验验证了 HMECSF-TL 框架的性能,它不仅减少了 24.66% 以上的延迟,还提高了 8.34% 以上的准确率。该框架不仅提高了计算能力,解决了终端设备资源短缺的问题,还提高了数据处理质量,解决了数据饥饿的问题。
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引用次数: 0
Thermo-economic analysis of potential desalination processes utilized by no greenhouse gas emissions power plant 对无温室气体排放发电厂可能采用的海水淡化工艺进行热经济分析
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.062

Present paper discusses the simulation of three desalination plants when linked to a nuclear power plant. The study assesses the various desalination techniques that can be employed in low carbon emissions power plants from a thermo-economic standpoint. Moreover, it draws a comparison between five different desalination systems including RO, MED, MSF, MED + RO and MSF + RO that are connected to a nuclear power plant. Via simulation, it became clear that using RO technology to produce fresh water is economically more advantageous than thermal methods. In addition, it is found that the overall water cost of various hybrid desalination technologies of MED + RO is significantly lower than those of MSF + RO desalination plants by 0.36 $/m3. The results show that supplying the desalination plant with warm water is more efficient than the direct use of sea water. The process of using warm water saves 0.01 $/m3 in case of using MED + RO and 0.02 $/m3 in case of using MSF + RO. Furthermore, the results show a significant reduction in CO2 emissions by 0.771 kg/kWh when nuclear power plants are used in place of conventional power plants that use oil fuel.

本文讨论了与核电站相连的三个海水淡化厂的模拟情况。研究从热经济角度评估了低碳排放发电厂可采用的各种海水淡化技术。此外,研究还对与核电站相连的五种不同的海水淡化系统进行了比较,包括反渗透海水淡化系统、MED 海水淡化系统、MSF 海水淡化系统、MED + 反渗透海水淡化系统和 MSF + 反渗透海水淡化系统。通过模拟,可以清楚地看出,使用反渗透技术生产淡水在经济上比热法更具优势。此外,还发现 MED + RO 混合海水淡化技术的总体水成本比 MSF + RO 海水淡化厂低 0.36 美元/立方米。结果表明,向海水淡化厂供应温水比直接使用海水更有效。在使用 MED + RO 的情况下,使用温水可节省 0.01 美元/立方米,在使用 MSF + RO 的情况下,使用温水可节省 0.02 美元/立方米。此外,研究结果表明,如果使用核电厂代替使用石油燃料的传统发电厂,二氧化碳排放量将大幅减少 0.771 千克/千瓦时。
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引用次数: 0
Hydraulic analysis of advanced spillway systems in tailings dams under extreme weather conditions 极端天气条件下尾矿坝先进溢流系统的水力分析
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.026

With the increasing frequency of extreme weather events, heavy rainfall and flooding pose significant pressure on the flood discharge systems of tailings dams. Simple discharge systems are insufficient to meet the flood discharge requirements of tailings dams, while complex discharge systems, with their greater flood discharge capacity, are gradually being promoted. Although complex discharge systems can increase the flood discharge capacity of tailings dams, the flow patterns within the discharge systems become more complex. As a new type of discharge system layout, existing research lacks systematic analysis, and its complex flow characteristics are not clear. This paper relies on the flood discharge system of a large tailings dam to carry out theoretical calculations and derivations of the hydraulic characteristics of the complex flood discharge system. Hydraulic characteristics are observed through hydraulic model tests and verified using numerical simulations. Based on these three methods, a basis for further research on the hydraulic characteristics of complex flood discharge systems is provided. The main results are as follows: (1) The formulas for calculating the discharge flow rate Q under different flow states in the tailings dam design manual are not applicable to complex discharge systems; (2) Formulas for calculating the discharge flow rate Q under different flow states in complex discharge systems are proposed; by comparing model test values and numerical simulation values, the accuracy of the formulas for calculating the discharge flow rate Q in complex discharge systems is verified; (3) If the traditional mode is used to calculate the discharge flow rate Q in complex discharge systems, it is recommended to take the reduction coefficient as 0.55–0.56, and the model test values should also be referred to during flow state transitions.

随着极端天气事件的日益频繁,暴雨和洪水给尾矿坝的排洪系统带来了巨大压力。简单的排洪系统不足以满足尾矿坝的排洪要求,而排洪能力更强的复杂排洪系统正在逐步推广。虽然复杂排洪系统可以提高尾矿坝的排洪能力,但排洪系统内的流态也变得更加复杂。作为一种新型的排洪系统布置方式,现有研究缺乏系统分析,其复杂的流动特性并不明确。本文以某大型尾矿坝的排洪系统为依托,对复杂排洪系统的水力特性进行理论计算和推导。通过水力模型试验观察水力特性,并利用数值模拟进行验证。在这三种方法的基础上,为进一步研究复杂排洪系统的水力特性提供了依据。主要成果如下(1)尾矿坝设计手册中不同流态下排洪流量 Q 的计算公式不适用于复杂排洪系统;(2)提出了复杂排洪系统不同流态下排洪流量 Q 的计算公式,通过对比模型试验值和数值模拟值,验证了复杂排洪系统排洪流量 Q 计算公式的准确性;(3)若采用传统模式计算复杂排洪系统排洪流量 Q,建议将折减系数取 0.55-0.56,在流态转换时还应参考模型试验值。
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引用次数: 0
A HybridOpt approach for early Alzheimer’s Disease diagnostics with Ant Lion Optimizer (ALO) 利用蚁狮优化器 (ALO) 进行阿尔茨海默病早期诊断的 HybridOpt 方法
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.089

Alzheimer disease is a neurological disorder that affects the elderly, caused by abnormal protein buildup in the brain. It leads to difficulties such as financial mismanagement, disorientation, behavioral changes, and repetitive speech. The existing methods use traditional features to detect the early signs of AD with low detection accuracy. The potential features have to be identified that represent best the patterns associated with alzheimers. Feature selection using ant lion optimization resolves the issue by using complementary information from hybrid features. The proposed HybridOpt pipeling for AD diagnosis combines the high level and low level features for early stage detection The objective of this work is to select efficient features from different deep networks, such as AlexNet, Googlenet, VGG16, ResNet, Efficient, DenseNet, and traditional texture features. Ant Lion Optimization is used to select the best feature among the deep network and traditional texture feature groups. Extensive experimentation on two highly challenging datasets called the Alzheimer’s disease neuroimage dataset and KAGGLE reveals that the proposed HybridOpt pipeline achieves an accuracy of 99% and 98.1% respectively.

阿尔茨海默病是一种影响老年人的神经系统疾病,由大脑中的异常蛋白质堆积引起。它会导致财务管理不善、迷失方向、行为改变和重复说话等困难。现有方法使用传统特征来检测注意力缺失症的早期症状,但检测准确率较低。必须找出最能代表老年痴呆症相关模式的潜在特征。使用蚁狮优化法进行特征选择可以利用混合特征的互补信息来解决这一问题。这项工作的目的是从不同的深度网络(如 AlexNet、Googlenet、VGG16、ResNet、Efficient、DenseNet 和传统纹理特征)中选择高效特征。蚁狮优化法用于从深度网络和传统纹理特征组中选择最佳特征。在阿尔茨海默病神经图像数据集和 KAGGLE 这两个极具挑战性的数据集上进行的广泛实验表明,所提出的 HybridOpt 管道的准确率分别达到了 99% 和 98.1%。
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引用次数: 0
Optimizing energy harvesting in wireless body area networks: A deep reinforcement learning approach to dynamic sampling 优化无线体域网络中的能量采集:动态采样的深度强化学习方法
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.088

In energy-harvesting wireless body area networks (EH-WBAN), the self-sustainability of body sensor nodes without compromising the service quality criteria is very important. In remote vital signs monitoring applications, the sampling rate of body nodes in each period should be determined to achieve this goal. There are two fundamental challenges in determining the sampling rate: 1) In EH-WBAN, the rate of the harvestable energy is time-dependent and unpredictable. 2) The vital signs of the patient have different change rates relevant to the time. Therefore, a technique is required that can learn the changes of the harvestable energy and the change rates of vital signs simultaneously and specify the proper sampling rate for BNs. The reinforcement learning algorithms are among the efficient solutions for this problem because they are capable of learning environmental uncertainties. Previous RL-based methods for determining the BN's sampling rate have three fundamental problems: 1) focus on the optimization of the transmission energy and ignore the sensing energy, 2) only affect one of the two aspects of energy or sensed data in determining the sampling rate and 3) discretization of the problem space does not ensure the determination of the optimal sampling rate. Therefore, this paper proposes a method named “deep reinforcement learning-based dynamic sampling” (DRDS) which first formulates the sampling rate determination problem as a Markov decision process (MDP) and proposes a deep deterministic policy gradient algorithm (DDPG) to solve it. The proposed method considers both energy and data variability aspects in determining the sampling rate. Two parameters, the super-capacitor’s voltage level, and ambient light intensity, are considered for the energy aspect; for the data variability aspect, the long short-term memory (LSTM) algorithm is developed to predict the change rate of data in the next round. Simulations indicate that by preserving the data integrity, the proposed method can decrease the sampling rate and unnecessary data transmission by about 49.95 % and 89.7 %, respectively, compared with state-of-the-art methods, and allow the sensor to achieve self-sustainability.

在能量收集无线体感区域网络(EH-WBAN)中,体感节点在不影响服务质量标准的前提下实现自我维持是非常重要的。在远程生命体征监测应用中,要实现这一目标,必须确定人体节点在每个时间段的采样率。确定采样率有两个基本挑战:1) 在 EH-WBAN 中,可采集能量的速率与时间有关,且不可预测。2) 病人生命体征的变化率与时间相关。因此,需要一种技术能同时学习可采集能量的变化和生命体征的变化率,并为生物网络指定适当的采样率。强化学习算法能够学习环境的不确定性,是解决这一问题的有效方法之一。以往基于 RL 的 BN 采样率确定方法存在三个基本问题:1)只关注传输能量的优化而忽略了感知能量;2)在确定采样率时只影响能量或感知数据两个方面中的一个;3)问题空间的离散化无法确保确定最佳采样率。因此,本文提出了一种名为 "基于深度强化学习的动态采样"(DRDS)的方法,首先将采样率确定问题表述为马尔可夫决策过程(MDP),并提出了一种深度确定性策略梯度算法(DDPG)来解决该问题。所提出的方法在确定采样率时考虑了能量和数据可变性两个方面。在能量方面,考虑了超级电容器的电压水平和环境光照强度这两个参数;在数据变化方面,开发了长短期记忆(LSTM)算法来预测下一轮的数据变化率。仿真结果表明,与最先进的方法相比,通过保持数据完整性,所提出的方法可以将采样率和不必要的数据传输分别减少约 49.95 % 和 89.7 %,并使传感器实现自持。
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引用次数: 0
LSKA-YOLOv8: A lightweight steel surface defect detection algorithm based on YOLOv8 improvement LSKA-YOLOv8:基于 YOLOv8 改进的轻质钢表面缺陷检测算法
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-04 DOI: 10.1016/j.aej.2024.08.087

In order to solve the problem of difficult deployment of existing deep learning-based defect detection models in terminal equipment with limited computational capacity, a lightweight steel surface defect testing model LSKA-YOLOv8 was proposed based on the YOLOv8n target detection framework. The model uses KernelWarehouse Conv (KWConv) with lower computational volumes, which significantly reduces the required computational resources. By updating the traditional Feature Pyramid Network (FPN) structure to Bi-directional Feature Pyramid Network (BiFPN), enhance the capture of contextual information and reduce the number of parameters of the model. In addition, the Spatial Pyramid Pooling Fast (SPPF) module was replaced with a more accurate Receptive Field Block (RFB) module, expanding the model’s sensory field and improving characteristic representation. At the same time, the Large Separable Kernel Attention (LSKAttention) module was introduced in the detection head, effectively enhancing the understanding and capture of the target characteristics, thus significantly improving the overall detection performance. Experiments on the NEU-DET dataset showed that the average accuracy of LSKA-YOLO increased by 4.4% on the [email protected] indicator compared to the benchmark model, while the number of parameters and calculations of the model decreased by 26.7% and 50%, respectively. Provides valuable references and practical applications for deployment of defect detection models on computing-resource-limited terminal devices.

为解决现有基于深度学习的缺陷检测模型难以在计算能力有限的终端设备中部署的问题,基于 YOLOv8n 目标检测框架,提出了一种轻量级钢材表面缺陷检测模型 LSKA-YOLOv8。该模型使用计算量较低的 KernelWarehouse Conv (KWConv),大大减少了所需的计算资源。通过将传统的特征金字塔网络(FPN)结构更新为双向特征金字塔网络(BiFPN),增强了对上下文信息的捕捉并减少了模型的参数数量。此外,将空间金字塔池化快速(SPPF)模块替换为更精确的接收场块(RFB)模块,扩大了模型的感知场,改善了特征表示。同时,在探测头中引入了大型可分离核注意力(LSKAttention)模块,有效增强了对目标特征的理解和捕捉,从而显著提高了整体探测性能。在 NEU-DET 数据集上的实验表明,与基准模型相比,LSKA-YOLO 在 [email protected] 指标上的平均准确率提高了 4.4%,而模型的参数数和计算量则分别减少了 26.7% 和 50%。为在计算资源有限的终端设备上部署缺陷检测模型提供了有价值的参考和实际应用。
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引用次数: 0
Series form solutions of time–space fractional Black–Scholes model via extended He-Aboodh algorithm 通过扩展的 He-Aboodh 算法求时空分数 Black-Scholes 模型的序列形式解
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-03 DOI: 10.1016/j.aej.2024.08.053

The objective of the current study is analyze linear and nonlinear time–space fractional Black–Scholes models via modified homotopy perturbation method (m-HPM). In current investigation, memory effects in financial markets are explored through fractional derivative in Caputo sense. The effectiveness of proposed methodology is checked numerically by finding residual errors and presented in tables. These tables also provide a benchmark for the comparison with already existing results in literature. Furthermore, solutions are graphically analyzed via 3D and contour plots across a range of parameters under varying market conditions. Analysis confirms the efficiency of m-HPM for predicting solutions of time–space fractional Black–Scholes models. The current study can contribute in understanding the applications of fractional calculus in finance, and can be a valuable computational tool for pricing financial derivatives in fractional environments.

当前研究的目的是通过修正同调扰动法(m-HPM)分析线性和非线性时空分数布莱克-斯科尔斯(Black-Scholes)模型。在当前的研究中,通过 Caputo 意义上的分数导数探讨了金融市场中的记忆效应。通过发现残余误差,对所提方法的有效性进行了数值检验,并以表格形式呈现。这些表格还为与文献中已有的结果进行比较提供了基准。此外,还通过三维图和等值线图对不同市场条件下的一系列参数进行了图解分析。分析证实了 m-HPM 预测时空分数 Black-Scholes 模型解的效率。当前的研究有助于理解分数微积分在金融领域的应用,并可作为分数环境下金融衍生品定价的重要计算工具。
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引用次数: 0
Stability and BI-RADS 4 subcategories mitigate on cancer risk dynamics with fractional operators: A case study analysis 稳定性和 BI-RADS 4 子类别通过分数算子减轻癌症风险动态:案例研究分析
IF 6.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Pub Date : 2024-09-03 DOI: 10.1016/j.aej.2024.08.065

In this paper, we present a mathematical model to lower the probability of breast cancer risk of the Breast Imaging Reporting and Data Systems (BI-RADS) 4 subcategories with the fractal fractional operator. This method improves evaluation quality, creates straightforward concepts for the early detection of breast cancer, and outcomes can be tracked easily by using BI-RADS-4 subcategories data at the Near East University Hospital. It uses the Banach fixed point theorem for nonlinear functional analysis and confirms the boundedness and uniqueness of solutions. Sensitivity analysis was performed on model parameters, and advanced numerical techniques were used to develop solutions. Also, this reveals disease-free and endemic equilibrium points, indicating local and global asymptotic stability. Chaos control was used in the regulated for linear responses approach to bring the system to stabilize according to its points of equilibrium. The growing procedure yields more effective and similar outcomes than the rotting technique, which happens quickly in the lowest fractional orders. Using Lagrange polynomial insight into the fractal-fractional operator, we conducted simulations and presented a comparative analysis in graphical form with classical and non-integer derivatives. The comparison of integer and non-integer results highlighted the importance of accurate fractional parameters in simulation. Moreover, it suggests that fractional operator-included mathematical models can help reveal more significant decisions on managing such real-life problems. Numerical simulations reveal absorption features for the fractal-fractional derivative with a generalized Mittag-Leffler kernel. The approximation solution approach allows for different order and dimension between 0 and 1, with outcomes changing for different fractional and fractal orders. It was determined that early diagnosis, quitting smoking, higher lactation rates, and ongoing care can reduce cancer risk. Our findings are critical for researchers, policymakers, and health care practitioners in combating and preventing breast cancer, contributing to worldwide public health initiatives.

在本文中,我们提出了一个数学模型,利用分形分数算子降低乳腺成像报告和数据系统(BI-RADS)4 子类别的乳腺癌风险概率。该方法提高了评估质量,为乳腺癌的早期检测创建了简单明了的概念,并且可以通过使用近东大学医院的 BI-RADS-4 子类别数据轻松跟踪结果。该方法使用了非线性函数分析的巴拿赫定点定理,并确认了解的有界性和唯一性。对模型参数进行了敏感性分析,并使用先进的数值技术来开发解决方案。此外,这还揭示了无病平衡点和地方病平衡点,表明了局部和全局渐近稳定性。在线性响应调节方法中使用了混沌控制,使系统根据其平衡点趋于稳定。与在最低分数阶迅速发生的腐烂技术相比,增长程序产生了更有效、更相似的结果。利用拉格朗日多项式对分形-分形算子的洞察力,我们进行了模拟,并以图形形式展示了经典导数与非整数导数的对比分析。整数和非整数结果的比较凸显了精确的分数参数在模拟中的重要性。此外,它还表明,包含分数算子的数学模型有助于揭示管理此类现实问题的更重要决策。数值模拟揭示了具有广义 Mittag-Leffler 内核的分数-分数导数的吸收特征。近似求解方法允许 0 至 1 之间的不同阶数和维数,不同分数和分形阶数的结果会发生变化。研究结果表明,早期诊断、戒烟、提高哺乳率和持续护理可以降低癌症风险。我们的研究结果对于研究人员、政策制定者和医疗保健从业人员抗击和预防乳腺癌至关重要,有助于推动全球公共卫生事业的发展。
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引用次数: 0
期刊
alexandria engineering journal
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