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Less is more: downsampling x-ray images improves pose estimation accuracy. 少即是多:下采样x射线图像提高姿态估计的准确性。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-20 DOI: 10.1088/1873-4030/ae2909
David E Williams, Michael J Rainbow, Dajung Yoon, Joseph J Crisco, Lauren Welte

Biplanar videoradiography (BVR) is a gold-standard technique for quantifyingin vivobone motion, yet the influence of x-ray image resolution on pose estimation accuracy remains unexplored. This study investigates how downsampling x-ray images impacts model-based pose estimation, using high-speed BVR data from a participant with implanted tantalum beads. Images were downsampled from 2048 × 2048 to 512 × 512 using bicubic and nearest-neighbour interpolation. Across multiple bones and varying perturbation levels, downsampling significantly reduced rotational and translational errors when compared to full-resolution images for both interpolation results. Bicubic interpolation led to slightly improved pose accuracy for certain bones, demonstrating enhanced edge clarity that benefits the optimisation algorithm. Pose estimates for full-resolution images exhibited more outliers and greater variability for all the bones investigated. These findings highlight that downsampling images improves pose estimation accuracy even for challenging anatomical areas such as the ankle. We recommend bicubic downsampling to 512 × 512 pixels as a best practice for BVR tracking of the ankle complex, when using both automated optimisation and manual workflows.

双平面放射成像(BVR)是一种量化人体运动的金标准技术,但x射线图像分辨率对姿态估计精度的影响仍未被探索。本研究利用植入钽珠的参与者的高速BVR数据,研究了下采样x射线图像如何影响基于模型的姿态估计。使用双三次插值和最近邻插值将图像从2048 × 2048降采样到512 × 512。与全分辨率图像相比,在多个骨骼和不同的扰动水平上,下采样显着减少了旋转和平移误差。双三次插值略微提高了某些骨骼的姿态精度,展示了增强的边缘清晰度,这有利于优化算法。全分辨率图像的姿态估计显示出更多的异常值和更大的变异性。这些发现强调,即使是在具有挑战性的解剖区域(如脚踝),降采样图像也能提高姿势估计的准确性。当使用自动优化和手动工作流程时,我们建议双三次下采样至512 × 512像素,作为踝关节复合体BVR跟踪的最佳实践。
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引用次数: 0
Shallow and deep learning approaches to classify melanoma and non-melanocytic skin lesions. 浅学习和深度学习方法分类黑色素瘤和非黑色素细胞皮肤病变。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-13 DOI: 10.1088/1873-4030/ae290b
Newton Spolaôr, Huei Diana Lee, Weber Shoity Resende Takaki, Ana Isabel Gonçalves Mendes, Rui Fonseca-Pinto, Conceição Veloso Nogueira, Claudio Saddy Rodrigues Coy, Feng Chung Wu

Several image processing methods in Dermatology are grounded in shallow and deep learning approaches. These solutions are relevant to assist health experts in decision-making processes related to harmful melanoma-a malignant melanocytic condition-and other skin lesions. This work aims to compare these approaches in a specific classification problem: malignant melanocytic lesions versus non-melanocytic ones. We developed 39 learning method configurations, including three original ones based on fine-tuned deep neural networks. Some implemented settings incorporate auxiliary procedures, such as oversampling, feature selection and data augmentation. An experimental evaluation in the public Derm7pt dermoscopic database suggests that the best original setting performance was competitive against the leading results reported by recent literature alternatives. In particular, the proposal reached average accuracy and sensitivity of 0.9909 and 0.9976, respectively. These results were averaged across three runs of the stratified nested cross-validation strategy. Moreover, our 39 configurations outperformed an experimental baseline derived from the majority class error. Thus, this work can be helpful in inspiring computational systems that could act as preliminary filters to support the detection of a harmful form of skin cancer and its separation from other lesions.

皮肤病学中的一些图像处理方法基于浅学习和深度学习方法。这些解决方案有助于健康专家在有害黑色素瘤(一种恶性黑色素细胞疾病)和其他皮肤病变的决策过程中提供帮助。这项工作的目的是比较这些方法在一个特定的分类问题:恶性黑色素细胞病变与非黑色素细胞病变。我们开发了39种学习方法配置,其中包括三种基于微调深度神经网络的原始配置。一些实现的设置包含辅助程序,如过采样、特征选择和数据增强。在公共Derm7pt皮肤镜数据库中进行的一项实验评估表明,最佳的原始设置性能与最近文献替代报告的领先结果具有竞争力。特别是,该方案的平均准确率和灵敏度分别达到0.9909和0.9976。这些结果在分层嵌套交叉验证策略的三次运行中取平均值。此外,我们的39个配置优于大多数类误差得出的实验基线。因此,这项工作可能有助于启发计算系统,这些计算系统可以作为初步过滤器,支持检测有害形式的皮肤癌并将其与其他病变分离。
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引用次数: 0
The effect of vibration and acceleration on the stability of isochoric (constant volume) supercooled aqueous systems. 振动和加速度对等共时(定容)过冷水体系稳定性的影响。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-13 DOI: 10.1088/1873-4030/ae2ec2
Nathaniel Sheps, Anthony N Consiglio, Yu Ouyang, Tammy T Chang, Boris Rubinsky

Supercooling is gaining recognition as a promising technique for preserving biological materials at subfreezing temperatures, offering a key advantage over traditional freezing by preventing harmful ice formation. However, because supercooling represents a metastable thermodynamic state, it is susceptible to uncontrolled ice nucleation. Research suggests that maintaining isochoric (constant volume) conditions may enhance the stability of supercooled systems compared to isobaric (constant pressure) conditions. During transportation by land, sea, or air, supercooled systems are often exposed to vibrations and high accelerations. This study aims to assess whether isochoric conditions can improve the stability of supercooled systems under typical external stressors encountered during transportation, compared to isobaric conditions. Using an isochoric nucleation detection device, we measured the probability of nucleation in 5.5 ml volumes of supercooled water subjected to vibrations of 50-60 Hz and accelerations of 6 g under both conditions. The results revealed that, under isobaric conditions, these stressors increased the average nucleation temperature from -8 °C to -4 °C. In contrast, under isochoric conditions, the nucleation temperature remained at -8 °C. This suggests that isochoric supercooling may offer significant advantages for transportation. However, further research is needed to explore the effects of specific vibration frequencies, accelerations, and container designs to optimize performance for various transportation modes.

作为一种很有前途的技术,在低温下保存生物材料得到了越来越多的认可,它比传统的冷冻方法有一个关键的优势,那就是防止有害的冰的形成。然而,由于过冷是一种亚稳定的热力学状态,它很容易受到不受控制的冰核的影响。研究表明,与等压(恒压)条件相比,保持等压(恒容)条件可以提高过冷系统的稳定性。在陆上、海上或空中运输过程中,过冷系统经常受到振动和高加速度的影响。本研究旨在评估在运输过程中遇到的典型外部压力条件下,与等压条件相比,等压条件是否能提高过冷系统的稳定性。使用等时形核检测装置,我们测量了5.5 ml体积的过冷水在50-60 Hz的振动和6 g的加速度下的成核概率。结果表明,在等压条件下,这些应力源将平均成核温度从-8°C提高到-4°C。在等时条件下,成核温度保持在-8℃。这表明等时过冷可能为运输提供显著的优势。然而,需要进一步研究特定振动频率、加速度和集装箱设计的影响,以优化各种运输方式的性能。
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引用次数: 0
Automatic physical activity recognition using multichannel, fusion CNN-BiGRU-Bahdanauattention networks. 使用多通道、融合CNN-BiGRU-Bahdanauattention网络的自动身体活动识别。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-13 DOI: 10.1088/1873-4030/ae1f88
Deepjyoti Kalita, Abhipsha Dash, Hrishita Sharma, Khalid B Mirza

Precisely recognizing and classifying physical activity in the everyday routines of patients with chronic illnesses can facilitate the implementation of precision medicine in the treatment of conditions like diabetes. Human activity recognition (HAR) is crucial in ubiquitous computing, specifically in the management of chronic diseases such as diabetes. Deep learning architecture have been increasingly popular for sensor-related HAR in recent years, demonstrating impressive performance. Nevertheless, they encounter obstacles when extracting and characterizing features, as well as segmenting continuous actions, particularly when working with time series data. These issues are particularly relevant in the field of diabetes management, where precise tracking of physical activity is crucial for effective therapy and the control of blood glucose levels. This paper presents a multichannel fusion model which integrates a mutichannel convolutional neural network (CNN) and a bidirectional gated recurrent unit (Bi-GRU) with thebahdanauattention mechanism, terminated with extra trees classifier. This model is designed to leverage the strengths of CNN, BiGRU and integration of attention mechanism for comprehensive feature extraction and temporal relationship learning. The efficiency of different machine learning classifiers evaluated by cross-validation to determine the best effective method for the specific task. The performance of the proposed architecture was evaluated using the UCI-HAR dataset. The model achieved an accuracy of 99.52%, precision of 99.56%, recall of 99.55%, andF1 score of 99.55% when combined with the extra trees classifier in the proposed fusion architecture which is better compared to existing models in recognizing undeclared physical activity types.

准确识别和分类慢性疾病患者日常的身体活动,有助于在糖尿病等疾病的治疗中实施精准医学。人类活动识别(HAR)在普适计算中至关重要,特别是在糖尿病等慢性疾病的管理中。近年来,深度学习架构在与传感器相关的HAR中越来越受欢迎,表现出令人印象深刻的性能。然而,它们在提取和表征特征以及分割连续动作时遇到了障碍,特别是在处理时间序列数据时。这些问题在糖尿病管理领域尤为重要,在糖尿病管理领域,精确跟踪身体活动对于有效治疗和控制血糖水平至关重要。本文提出了一种多通道融合模型,该模型将多通道卷积神经网络(CNN)和双向门控循环单元(Bi-GRU)与bahdanauattention机制相结合,并以额外的树分类器终止。该模型旨在利用CNN、BiGRU和注意力机制集成的优势,进行综合特征提取和时间关系学习。通过交叉验证评估不同机器学习分类器的效率,以确定针对特定任务的最有效方法。使用UCI-HAR数据集对所提出架构的性能进行了评估。结合所提出的多树分类器,该模型的准确率为99.52%,精密度为99.56%,召回率为99.55%,f1分数为99.55%,在识别未声明的运动类型方面优于现有模型。
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引用次数: 0
Investigating the therapeutic effect of metformin on melanoma cancer stem cells using optical microscopy. 利用光学显微镜研究二甲双胍对黑色素瘤肿瘤干细胞的治疗效果。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1377
Chung-You Huang, Win-Li Lin

Cancer stem cells (CSCs) are neoplastic cells that possess certain stem cell properties and are increasingly recognized as pivotal contributors to cancer metastasis, recurrence, and therapy resistance. Recent studies have demonstrated that metformin, a medication for type 2 diabetes, can inhibit the proliferation of CSCs. Malignant melanoma, which harbors CSCs, serves as a valuable model for evaluating cancer therapies and characterizing CSCs. This study assessed the impact of metformin (0-500µg ml-1) on melanoma CSCs by employingin vitrothree-dimensional (3D) cell cultures and optical microscopy. Our findings revealed that higher concentrations (24 mM) of metformin corresponded to a reduced number of cell spheres, consistent with results reported by other research groups. These observations suggest that optical microscopy is a viable technique for monitoring the short-term effects of metformin on melanoma CSCsin vitro.

肿瘤干细胞(Cancer stem cells, CSCs)是一种具有某些干细胞特性的肿瘤细胞,越来越被认为是癌症转移、复发和治疗抵抗的关键因素。最近的研究表明,二甲双胍,一种治疗2型糖尿病的药物,可以抑制csc的增殖。恶性黑色素瘤含有CSCs,可作为评估癌症治疗和表征CSCs的有价值模型。本研究通过体外三维(3D)细胞培养和光学显微镜评估二甲双胍(0-500µg ml-1)对黑色素瘤CSCs的影响。我们的研究结果显示,高浓度的二甲双胍(24mm)与减少的细胞球数量相对应,这与其他研究小组报告的结果一致。这些观察结果表明,光学显微镜是一种可行的技术,用于监测二甲双胍对体外黑色素瘤cscin的短期影响。
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引用次数: 0
Experimental investigation on tool geometry and cutting speed effects in mechanical thrombectomy: from clot analog preparation to prototype verification. 机械血栓切除术中刀具几何形状和切削速度影响的实验研究:从血栓模拟物制备到原型验证。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1f84
Lingwen Chen, Chongjun Wu, Jingwen Li, Li Hong, Bin Shen, Qingwei Ding

Clots will always result in the slowing or complete blockage of intravascular blood flow, which finally cause the ischemic disease. Mechanical thrombectomy (MT), as a novel interventional therapy, is gaining prominence in clinical practice. The process parameters during MT directly affect the clot cutting and fracture failure characteristics. This study utilized porcine blood to create a clot model for cutting experiments, investigating the effects of cutting process and tool structure on the clot cutting failure characteristics. The results indicate that both cutting speed and tool structure significantly affect cutting force and tool displacement, with tool structure being the predominant factor. When the cutting speed varies from 10 mm min-1to 400 mm min-1, the cutting force reaches its minimum at 220 mm min-1, with a maximum reduction of approximately 5 N. The tool with larger rake angle exhibit the greatest influence on cutting force, while the presence of inclination significantly increases the deformation displacement of the tool. These findings provide valuable insights for optimizing the design of MT devices, ultimately enhancing the efficiency and safety of thrombus procedures.

血栓总是会导致血管内血流减慢或完全阻塞,最终导致缺血性疾病。机械取栓术作为一种新型的介入治疗手段,在临床上越来越受到重视。MT过程中的工艺参数直接影响到凝块切割和断裂失效特征。本研究利用猪血建立血块模型进行切割实验,研究了切割工艺和刀具结构对血块切割失效特征的影响。结果表明:切削速度和刀具结构对切削力和刀具位移均有显著影响,其中刀具结构是主要影响因素;当切削速度从10 mm min-1变化到400 mm min-1时,切削力在220 mm min-1时达到最小,最大减小约5 n。刀具前倾角越大,对切削力的影响最大,而倾角的存在显著增加了刀具的变形位移。这些发现为优化MT设备的设计提供了有价值的见解,最终提高血栓治疗的效率和安全性。
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引用次数: 0
Higher-order spectral analysis for assessing pathological severity in mitral valve prolapse. 高阶谱分析评价二尖瓣脱垂的病理严重程度。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1e70
Fadia Meziani, Souhila Rerbal, Sidi Mohammed El Amine Debbal

Mitral valve prolapse (MVP) is a prevalent cardiac disorder affecting approximately 2%-3% of the population. Accurate early diagnosis is essential to prevent progression into more severe conditions. This study introduces a non-invasive methodology for assessing MVP severity using phonocardiogram signals analyzed through bispectral (third-order spectral) techniques. MVP signals were categorized into four types based on murmur intensity and the presence of an ejection click (EC). Following wavelet-based denoising and energy-based segmentation, the energetic ratio (ER%) was computed as a clinical indicator of severity. Bispectral analysis was then applied to extract higher-order spectral (HOS) features including bispectral magnitude, entropies, spectral moments, and the weighted bispectrum center. These features were analyzed to distinguish between severity categories and correlate with murmur energy. An ANOVA test was conducted to assess the statistical significance of each feature and its discriminative power.

二尖瓣脱垂(MVP)是一种常见的心脏疾病,约占人口的2%-3%。准确的早期诊断对于防止病情恶化至关重要。本研究介绍了一种通过双谱(三阶谱)技术分析心音图信号来评估MVP严重程度的非侵入性方法。根据杂音强度和弹射声(EC)的存在,将MVP信号分为四种类型。在小波去噪和能量分割之后,计算能量比(ER%)作为严重程度的临床指标。然后应用双谱分析提取高阶谱特征,包括双谱幅度、熵、谱矩和加权双谱中心。分析这些特征以区分严重程度类别并与杂音能量相关。采用方差分析检验评估各特征的统计显著性及其判别能力。
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引用次数: 0
A biomechanical evaluation of wired sternal fixation augmented with a bio-active adhesive using full coverage and spot welds. 采用全覆盖和点焊的生物活性粘接剂增强胸骨固定的生物力学评价。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1b00
Amatulraheem Al-Abassi, Emily Deignan, Scott Brandon, Mark Towler, Marcello Papini, Habiba Bougherara

The use of bio-adhesives in sternal fixation aims to mitigate complications commonly associated with median sternotomy, which can lead to significant morbidity and mortality rates. Bio-adhesives are recognized for enhancing sternal fixation and limiting hemisterna displacement. This study evaluates the effectiveness of glass polyalkenoate cements (GPCs) derived from a novel BT101 glass in conjunction with a new spot weld application technique. Finite element analysis (FEA) was used to predict the minimum GPC adhesive coverage necessary to prevent pathological displacement of the hemisterna. Three sternal fixation models with varying GPC adhesive coverage 50%, 62.5%, and 75% were developed in SolidWorks and analyzed in Ansys software. The simulations applied a breathing load of 500 N and a wiring clamping force of 1000 N to replicate experimental conditions. The FEA results demonstrated a 21.4% reduction in directional displacement of the sternum with full adhesive coverage compared to traditional wire-only fixation. The maximum directional deformation for 50%, 62.5%, 75%, and 100% of adhesive coverage are 1.576 ± 0.232 mm, 1.281 ± 0.182, 0.999 ± 0.0262, and 0.29 ± 0.28, respectively, all of which are below the pathological displacement threshold of 2.0 mm. The findings indicate that increased adhesive coverage correlates with reduced sternal displacement. Consequently, the study recommends using wired sternal fixation enhanced with 75% GPC spot welds to minimize hemisterna displacement, potentially enhancing ossification and bone healing, and improve vascularization between the sternal halves at the spaces between adhesive spots. Thus, the development of the sternal fixation finite element model could be useful in parallel with the experimental analysis.

在胸骨固定中使用生物粘接剂的目的是减轻通常与胸骨正中切开术相关的并发症,这些并发症可能导致显著的发病率和死亡率。生物胶粘剂被认为可以增强胸骨固定和限制半胸骨移位。本研究评估了新型BT101玻璃衍生的玻璃聚烯酸盐水泥(GPCs)与新型点焊应用技术的有效性。采用有限元分析(FEA)预测防止半叶病理性移位所需的最小GPC粘接剂覆盖范围。在SolidWorks中建立GPC粘接剂覆盖率分别为50%、62.5%和75%的三种胸骨固定模型,并在Ansys软件中进行分析。模拟采用500 N的呼吸负荷和1000 N的接线夹紧力来模拟实验条件。FEA结果显示,与传统的单针固定相比,全粘接剂覆盖胸骨的定向位移减少了21.4%。粘接剂覆盖50%、62.5%、75%、100%时的最大定向变形分别为1.576±0.232 mm、1.281±0.182、0.999±0.0262、0.29±0.28,均低于2.0 mm的病理位移阈值。研究结果表明,粘接剂覆盖率的增加与胸骨移位的减少有关。因此,该研究建议使用75% GPC点焊增强的胸骨固定,以最大限度地减少半骨移位,潜在地增强骨化和骨愈合,并改善胸骨两半在粘接点之间空间的血管化。因此,胸骨固定有限元模型的发展可以与实验分析并行使用。
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引用次数: 0
Gaussian process diffeomorphic statistical shape modelling for assessment of hip dysplasia. 评估髋关节发育不良的高斯过程微分统计形状模型。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1f83
Allen Paul, George Grammatopoulos, Adwaye Rambojun, Neill D F Campbell, Harinderjit S Gill, Tony Shardlow

Dysplasia is a recognized risk factor for osteoarthritis (OA) of the hip, early diagnosis of dysplasia is important to provide opportunities for surgical interventions aimed at reducing the risk of hip OA. We have developed a pipeline for semi-automated classification of dysplasia using 3D surface models obtained from volumetric CT scans of patients' hips and a minimal set of four clinically annotated landmarks on the acetabular rim (the most proximal, distal, anterior and posterior aspects), combining the framework of the Gaussian process latent variable model with diffeomorphism to create a statistical shape model (SSM), which we termed the Gaussian process diffeomorphic SSM (GPDSSM). We used 192 CT scans, 100 for model training and 92 for testing. The GPDSSM effectively distinguishes dysplastic samples from controls while also highlighting regions of the underlying surface that show dysplastic variations. As well as improving classification accuracy compared to angle-based methods (AUC 96.2% vs 91.2%), the GPDSSM can save time for clinicians by removing the need to manually measure angles and interpreting 2D scans for possible markers of dysplasia.

发育不良是髋关节骨关节炎(OA)的一个公认的危险因素,早期诊断发育不良为外科干预提供机会,旨在降低髋关节OA的风险。我们已经开发了一种半自动分类发育不良的方法,使用从患者髋部体积CT扫描获得的3D表面模型和髋臼边缘(最近端、远端、前端和后端)的四个临床标记的最小集合,将高斯过程潜变量模型与差胚性相结合的框架创建统计形状模型(SSM),我们称之为高斯过程差胚性SSM (GPDSSM)。我们使用了192次CT扫描,100次用于模型训练,92次用于测试。GPDSSM有效地将发育不良的样本与对照区分开,同时也突出显示了显示发育不良变化的下表层区域。与基于角度的方法相比,GPDSSM不仅可以提高分类精度(AUC为96.2% vs 91.2%),而且可以通过消除手动测量角度和解释二维扫描来节省临床医生的时间,以寻找可能的发育不良标记。
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引用次数: 0
Knee osteoarthritis screening using multimodal gait signals transformed via Gramian angular field and integrated by a deep learning model. 基于Gramian角场变换和深度学习模型集成的多模态步态信号筛选膝关节骨性关节炎。
IF 2.3 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2026-01-09 DOI: 10.1088/1873-4030/ae1823
Kai Sun, Zhenfu Huang, Minghui Hang, Wang Lu, Junjun Zhu

To address the prevailing challenges associated with the screening of knee osteoarthritis (KOA), which include the high costs associated with imaging technologies, intricate procedural requirements, and the lack of dynamic functional information, this study introduces a multimodal gait analysis approach utilizing wearable inertial measurement units. This approach involves the conversion of time-series gait data into corresponding Gramian Angular Field (GAF) images. A dual-channel architecture was developed, integrating temporal convolutional networks (TCNs) and depth-wise separable convolutional neural networks, with multimodal feature fusion facilitated by a multi-head attention (MHA) mechanism. The experimental results demonstrated that the proposed model achieved an accuracy of 97.87%, a precision of 98.23%, a recall of 98.17%, and an F1-score of 98.19% in ten-fold cross-validation on our dataset, outperforming various established time-series models and single-modal approaches. This study substantiates that integration of GAF images within a multimodal framework significantly improves screening sensitivity and robustness, with the characteristics of high accuracy, cost-effectiveness, and radiation-free operation.

为了解决与膝关节骨关节炎(KOA)筛查相关的普遍挑战,包括与成像技术相关的高成本,复杂的程序要求以及缺乏动态功能信息,本研究引入了一种利用可穿戴惯性测量单元的多模态步态分析方法。该方法将时间序列步态数据转换为相应的格拉曼角场(GAF)图像。提出了一种双通道结构,将时间卷积网络(tcn)和深度可分卷积神经网络相结合,利用多头注意(MHA)机制实现多模态特征融合。实验结果表明,该模型的准确率为97.87%,精密度为98.23%,召回率为98.17%,f1分数为98.19%,优于各种已建立的时间序列模型和单模态方法。本研究证实,在多模态框架内整合GAF图像可显著提高筛查灵敏度和鲁棒性,具有准确性高、成本效益高、无辐射操作等特点。
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引用次数: 0
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