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Biomechanical Impact of Recurrent Childbirth on the Female Pelvic Floor 反复分娩对女性骨盆底的生物力学影响
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-09 DOI: 10.1002/cnm.70053
Diana Fonseca, Dulce Oliveira, Rita Moura, Catarina Rocha, Marco Parente, Renato Natal

Every year, millions of childbirths occur globally, yet the rate of maternal morbidity and mortality remains unacceptably high. This study investigates the biomechanical impact of multiple vaginal deliveries on pelvic floor dysfunction (PFD), a key contributor to maternal morbidity. While the effects of first childbirth on pelvic floor injuries have been widely studied, less is known about the impact of subsequent deliveries. Epidemiological data show that the risk of PFD increases with the number of births, making it crucial to understand how later deliveries exacerbate damage. Using a finite element model, this research simulates the biomechanical effects of first and second vaginal delivery. The model incorporates pelvic floor muscles and a fetal head, considering factors such as muscle recovery and fetal head size. Simulations were run for both first and second deliveries, with varying recovery rates of muscle damage and fetal head sizes (50th and 5th percentiles). Results indicate that muscle damage is most severe at the pubovisceral muscle's origin, which is consistent with previous studies. In second-birth simulations, more muscle damage was observed, particularly when no recovery occurred. Smaller fetal head sizes led to less muscle stretch and accumulated damage. The study supports existing literature linking subsequent childbirths to a higher risk of PFD and highlights the importance of muscle recovery in mitigating damage. It also provides valuable insights into the biomechanics of childbirth, offering a step forward in improving understanding of pelvic floor injuries.

全球每年有数以百万计的分娩,但孕产妇发病率和死亡率仍然高得令人无法接受。本研究探讨了多次阴道分娩对盆底功能障碍(PFD)的生物力学影响,盆底功能障碍是产妇发病率的一个关键因素。虽然首次分娩对骨盆底损伤的影响已被广泛研究,但对后续分娩的影响知之甚少。流行病学数据显示,PFD的风险随着出生数量的增加而增加,因此了解晚分娩是如何加剧损害的至关重要。利用有限元模型,本研究模拟了第一次和第二次阴道分娩的生物力学效应。该模型结合了骨盆底肌肉和胎儿头部,考虑了肌肉恢复和胎儿头部大小等因素。对第一次和第二次分娩进行模拟,肌肉损伤的恢复率和胎头大小(第50和第5百分位数)各不相同。结果表明,耻骨内脏肌起源处的肌肉损伤最为严重,这与以往的研究结果一致。在二次分娩模拟中,观察到更多的肌肉损伤,特别是在没有恢复的情况下。较小的胎儿头尺寸导致较少的肌肉拉伸和累积损伤。该研究支持了现有文献中关于产后患PFD风险较高的观点,并强调了肌肉恢复对减轻损伤的重要性。它也为分娩的生物力学提供了有价值的见解,为提高对骨盆底损伤的理解提供了一步。
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引用次数: 0
Improved Mechanical Support Parametrization to Predict the Renal Ostia Displacement Induced by Tools Insertion in EVAR 改进机械支持参数预测工具插入引起的EVAR肾口移位
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-09 DOI: 10.1002/cnm.70059
Hussein Mozahem, Mathilde Chastre, Florent Lalys, Simon Esneault, Adrien Kaladji, Aline Bel-Brunon

To improve the prediction of renal ostia displacement in biomechanical finite element simulations of the vascular structure deformation during endovascular aneurysm repair (EVAR). An existing finite element model to compute the deformation of the vascular structure due to tools insertion during EVAR, previously validated against clinical data in terms of guidewire position, is confronted in terms of renal ostia displacement to clinical intraoperative data from 16 patients undergoing EVAR and experiencing significant ostia displacement during the procedure (average vertical displacement of 10.38 mm from the preoperative to intraoperative configurations). This yields an update of the mechanical support parametrization. A score quantifies the predictive performance of the existing and updated parametrizations for both the renal displacement and the iliac arteries deformation. The updated model demonstrates a significant improvement in predictive accuracy for renal ostia deviation during EVAR. The axial mean displacement error is improved from 7.41 mm (previous parametrization) to 2.99 mm (updated parametrization). The score shows that this new parametrization improves the predictive performance of the simulation for the renal ostia displacement without compromising the iliac deformations prediction. The updated parametrization significantly enhances the predictive capability for arterial deformations during EVAR. A better prediction of the renal ostia displacement can significantly improve surgical planning and intraoperative guidance.

目的:提高血管内动脉瘤修复(EVAR)过程中血管结构变形的生物力学有限元模拟对肾口移位的预测。现有的有限元模型用于计算EVAR过程中工具插入引起的血管结构变形,该模型先前根据导丝位置的临床数据进行了验证,该模型将肾口移位与16例EVAR患者的临床术中数据进行了对比,这些患者在手术过程中出现了明显的口移位(从术前到术中配置平均垂直移位10.38 mm)。这产生了机械支撑参数化的更新。A评分量化了现有的和更新的参数对肾脏移位和髂动脉变形的预测性能。更新后的模型显示,EVAR期间肾口偏差的预测准确性显著提高。轴向平均位移误差由7.41 mm(先前参数化)提高到2.99 mm(更新参数化)。结果表明,这种新的参数化方法在不影响髂关节变形预测的情况下,提高了肾口移位模拟的预测性能。更新后的参数化显著提高了EVAR期间动脉变形的预测能力。更好的预测肾口移位可以显著改善手术计划和术中指导。
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引用次数: 0
A 3D Patient-Specific Model of Cerebral Blood Flow: Influence of Arterial Compliance and Circle of Willis Configuration 三维患者脑血流模型:动脉顺应性和威利斯环结构的影响
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-08 DOI: 10.1002/cnm.70065
L. A. Mansilla Alvarez, G. D. Maso Talou, R. A. Feijóo, P. J. Blanco

We conducted an in silico study of blood flow in the brain using two different computational models: fluid–structure interaction (FSI) and conventional rigid wall (CFD). These models were applied to a patient-specific vascular network derived from MRI data. We used a mid-fidelity numerical approach called Transversally Enriched Pipe Element Method (TEPEM) to solve the governing equations. In the FSI model, we coupled the TEPEM strategy with an independent-ring model to account for arterial wall compliance. We compared the FSI and CFD models to understand how arterial wall distensibility affects pressure, flow, and the spatial distribution of flow-related properties. Additionally, we introduced three synthetic anatomical variations in the Circle of Willis to extend the comparison of the FSI and CFD models to these scenarios. Our results suggest that vessel compliance introduces discrepancies up to 2$$ 2 $$ mmHg in distal cerebral regions and up to 15%$$ 15% $$ in the Wall Shear Stress. Regarding the anatomical variations on the Circle of Willis, the incomplete configuration introduces discrepancies in derived-flow quantities as the Time-Averaged Wall Shear Stress and the Relative Retention Time up to 20%$$ 20% $$.

我们使用两种不同的计算模型进行了脑血流的计算机研究:流固相互作用(FSI)和常规刚性壁(CFD)。这些模型应用于来自MRI数据的患者特异性血管网络。我们使用了一种称为横向充实管元法(TEPEM)的中等保真度数值方法来求解控制方程。在FSI模型中,我们将TEPEM策略与独立环模型相结合,以解释动脉壁顺应性。我们比较了FSI和CFD模型,以了解动脉壁膨胀率如何影响压力、流量和流量相关特性的空间分布。此外,我们介绍了威利斯圈的三种合成解剖变异,将FSI和CFD模型的比较扩展到这些情况。我们的研究结果表明,血管顺应性在大脑远端区域引入了高达2 $$ 2 $$ mmHg和高达15 mmHg的差异 % $$ 15% $$ in the Wall Shear Stress. Regarding the anatomical variations on the Circle of Willis, the incomplete configuration introduces discrepancies in derived-flow quantities as the Time-Averaged Wall Shear Stress and the Relative Retention Time up to 20 % $$ 20% $$ .
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引用次数: 0
Inverse Problem Regularization for 3D Multi-Species Tumor Growth Models 三维多物种肿瘤生长模型的反问题正则化
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-08 DOI: 10.1002/cnm.70057
Ali Ghafouri, George Biros

We present a multi-species partial differential equation (PDE) model for tumor growth and an algorithm for calibrating the model from magnetic resonance imaging (MRI) scans. The model is designed for glioblastoma multiforme (GBM) a fast-growing type of brain cancer. The modeled species correspond to proliferative, infiltrative, and necrotic tumor cells. The model calibration is formulated as an inverse problem and solved by a PDE-constrained optimization method. The data that drives the calibration is derived by a single multi-parametric MRI image. This is a typical clinical scenario for GBMs. The unknown parameters that need to be calibrated from data include 10 scalar parameters and the infinite dimensional initial condition (IC) for proliferative tumor cells. This inverse problem is highly ill-posed as we try to calibrate a nonlinear dynamical system from data taken at a single time. To address this ill-posedness, we split the inversion into two stages. First, we regularize the IC reconstruction by solving a single-species compressed sensing problem. Then, using the IC reconstruction, we invert for model parameters using a weighted regularization term. We construct the regularization term by using auxiliary 1D inverse problems. We apply our proposed scheme to clinical data. We compare our algorithm with single-species reconstruction and unregularized reconstructions. Our scheme enables the stable estimation of non-observable species and quantification of infiltrative tumor cells. Our regularization improves the tumor Dice score by 5%–10% compared to single-species model reconstruction. Also, our regularization reduces model parameter reconstruction errors by 4%–80% in cases with known initial condition and brain anatomy compared to cases without regularization. Importantly, our model can estimate infiltrative tumor cells using observable tumor species.

我们提出了肿瘤生长的多物种偏微分方程(PDE)模型和一种从磁共振成像(MRI)扫描校准模型的算法。该模型是为多形性胶质母细胞瘤(GBM)设计的,这是一种快速生长的脑癌。模型物种对应于增生性、浸润性和坏死性肿瘤细胞。将模型标定表述为一个逆问题,并采用pde约束优化方法求解。驱动校准的数据是由单个多参数MRI图像导出的。这是GBMs的典型临床表现。需要从数据中校准的未知参数包括10个标量参数和增殖性肿瘤细胞的无限维初始条件(IC)。这个反问题是高度不适定的,因为我们试图校准一个非线性动力系统的数据在单一的时间。为了解决这种不适,我们将反转分为两个阶段。首先,我们通过求解一个单物种压缩感知问题来正则化集成电路重构。然后,利用集成电路重构,利用加权正则化项反演模型参数。利用辅助一维逆问题构造正则化项。我们将我们提出的方案应用于临床数据。我们将该算法与单物种重构和非正则化重构进行了比较。我们的方案能够稳定地估计不可观察的种类和浸润性肿瘤细胞的定量。与单物种模型重建相比,我们的正则化将肿瘤Dice评分提高了5%-10%。此外,在已知初始条件和大脑解剖结构的情况下,与未进行正则化的情况相比,我们的正则化将模型参数重建误差降低了4%-80%。重要的是,我们的模型可以利用可观察到的肿瘤种类来估计浸润性肿瘤细胞。
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引用次数: 0
Correction to “Machine Learning-Based Rapid Prediction of Torsional Performance of Personalized Peripheral Artery Stent” 对“基于机器学习的个性化外周动脉支架扭转性能快速预测”的修正
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-07 DOI: 10.1002/cnm.70069

https://doi.org/10.1002/cnm.70029.

The Affiliation 1 “Jiangsu University, Zhenjiang, China” was incorrect. This should have read: “School of Mechanical Engineering, Jiangsu University, Zhenjiang, China”.

We apologize for this error.

https://doi.org/10.1002/cnm.70029.The联系1“江苏大学,镇江,中国”不正确。这应该是:“江苏大学机械工程学院,镇江,中国”。我们为这个错误道歉。
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引用次数: 0
Crack Extension Analysis and Parameter Optimization in Robot-Assisted Cracked Tooth Preparation Process: Finite Element Analysis and Experiment 机器人辅助裂纹齿制备过程中裂纹扩展分析及参数优化:有限元分析与实验
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-07 DOI: 10.1002/cnm.70070
Jingang Jiang, Biao Ma, Jianpeng Sun, Yongde Zhang, Jie Pan, Shan Zhou

Existing robot-assisted cracked tooth preparation systems often result in crack extension or even tooth fracture due to inappropriate parameter settings. In order to solve this problem, a thermal–mechanical coupling model was developed to optimize the grinding parameters for a cracked tooth preparation robot. The grinding force model, based on an empirical formula, was established and analyzed. Using this model, the grinding temperature field of the tooth surface under a moving heat source was also determined. The optimal feed speed and rotational speed of the bur were identified through analysis. After verifying the model's accuracy through experiments, the stress intensity factor at the crack tips for various preparation parameters was calculated using the established thermal–mechanical coupling model, enabling the determination of a safe parameter range. Robot-assisted tooth preparation experiments were conducted based on the optimized preparation parameters, which resulted in a 19.32% reduction in normal grinding force and a 56.26% reduction in surface grinding temperature, and consequently a reduction in pulpal thermal damage compared to conventional preparation parameters. Crack extension following tooth preparation was observed by Micro-CT scanning, and the success rate of preventing crack extension was 73.33%, 93.33%, and 86.67% in xoz, yoz, and xoy sections.

现有的机器人辅助裂纹齿制备系统由于参数设置不当,往往会导致裂纹扩展甚至牙齿断裂。为了解决这一问题,建立了一种热-力耦合模型,对裂齿制备机器人的磨削参数进行了优化。建立了基于经验公式的磨削力模型,并对其进行了分析。利用该模型,确定了运动热源作用下齿面磨削温度场。通过分析,确定了最佳进给速度和转速。通过实验验证模型的准确性后,利用所建立的热-力耦合模型计算了各制备参数下裂纹尖端处的应力强度因子,确定了安全参数范围。基于优化后的制备参数进行了机器人辅助牙齿制备实验,与常规制备参数相比,法向磨削力降低了19.32%,表面磨削温度降低了56.26%,从而减少了牙髓热损伤。Micro-CT扫描观察预备牙后裂纹扩展,xoz、yoz、xoy切片防止裂纹扩展的成功率分别为73.33%、93.33%、86.67%。
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引用次数: 0
Assessing the Influence of Screw Orientation on Fracture Fixation of the Proximal Humerus Using Finite Element Informed Surrogate Modeling 利用有限元替代模型评估螺钉定位对肱骨近端骨折固定的影响
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-04 DOI: 10.1002/cnm.70060
Daniela Mini, Karen J. Reynolds, Mark Taylor

The management of proximal humeral fractures is challenging, and fixation plates often show a high failure rate. However, new fixation plates with variable angle screws could be beneficial. Finite element (FE) studies have shown some benefits of plates with variable angle screws, but not all possible combinations have been explored, and hence worst and optimal scenarios have not been identified. The full exploration of the solution space is not possible using FE techniques due to the computational expense; therefore, a more computationally affordable technique is needed. This study aimed to develop adaptive neural network (ANN) models that can predict the likelihood of a screw collision and the level of strain on the humeral bone when the orientation of the screws is changed. ANN models were trained using input and output data from FE simulations with varying screw angles, developed on a single subject with a two-part fracture in the proximal humerus. Training sets of different sizes were developed to determine the quantity of data required for an accurate model. Firstly, the ANNs were used to make predictions of results from FE unseen data, showing an 84.4% accuracy for the prediction of screw collision and good correlation (R2 = 0.99) and low levels of error (RMSE = 0.65%–5.49% strain) for the prediction of bone strain. The ANNs were used to make predictions of a full factorial scenario, showing that the variation of the orientation of the screw in the calcar region has the greatest impact on the bone strain around all screws.

肱骨近端骨折的治疗具有挑战性,固定钢板的失败率很高。然而,新的可变角度螺钉固定板可能是有益的。有限元(FE)研究显示了可变角度螺钉板的一些好处,但并不是所有可能的组合都被探索过,因此没有确定最坏和最优的情况。由于计算费用的原因,使用有限元技术无法对解空间进行全面探索;因此,需要一种计算成本更低的技术。本研究旨在开发自适应神经网络(ANN)模型,该模型可以预测螺钉方向改变时螺钉碰撞的可能性和肱骨的应变水平。人工神经网络模型使用不同螺钉角度的有限元模拟输入和输出数据进行训练,该模型是针对肱骨近端两部分骨折的单个受试者开发的。开发了不同大小的训练集,以确定精确模型所需的数据量。首先,利用人工神经网络对FE未见数据的预测结果进行预测,预测螺钉碰撞的准确率为84.4%,预测骨应变的相关性好(R2 = 0.99),误差低(RMSE = 0.65% ~ 5.49%应变)。人工神经网络被用来对全因子情景进行预测,结果表明,跟骨区螺钉方向的变化对所有螺钉周围的骨应变影响最大。
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引用次数: 0
Numerical Investigation Into Bone Remodeling Around Different Co-Polymeric Swelling Bone Anchors 不同共聚消肿骨锚周围骨重塑的数值研究
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-06-23 DOI: 10.1002/cnm.70054
Amirreza Sadighi, Mehrangiz Taheri, Nolan Black, Moein Taghvaei, Madeline Boyes, Delaney Oeth, Sorin Siegler, Thomas P. Schaer, Ahmad R. Najafi

In this study, a hygro-elastic finite element framework, along with a strain-energy-density based bone remodeling framework, was developed and used to simulate the swelling of co-polymeric bone anchors to investigate their hygro-mechanical response. To validate the numerical results, free swelling and in vivo experiments were conducted as well. The free swelling experiments were conducted on co-polymeric porous bone anchors (composed of cross-linked poly [methyl methacrylate-co-acrylic acid]) with two ratios of 80/20 and 90/10 to investigate their swelling characteristics in bovine serum, mimicking in vivo conditions. Subsequently, the swelling of bone anchors was simulated embedded in bone regions with different densities. The radial stresses induced in the interface were extracted to examine the mechanical response of the surrounding bone. According to Wolff's law, such mechanical loads can be regarded by bone mechanotransducers as stimuli for remodeling. The bone remodeling framework evaluated the impact of the radial force induced by the swelling of the bone anchor on the surrounding bone. The radial stress induced by the controlled swelling ratio of 90/10 composition resulted in favorable bone densification in the region of interest (approximately between 17.5% and 54% depending on the density of the region). However, the excessive swelling of 80/20 composition caused radial stresses to go beyond the threshold of 31 MPa, causing overload resorption in the interface (especially in high-density regions, where there was total resorption in the interface) and jeopardizing the success of the bone anchor and osteointegration. It was discovered that the swelling ratio plays an important role in bone remodeling, and that it must be controlled within a certain threshold to ensure bone densification and prevent overload resorption. The results of the in vivo sheep study also confirmed these findings.

在这项研究中,我们开发了一个水弹性有限元框架,以及一个基于应变-能量密度的骨重塑框架,并使用它来模拟共聚骨锚的膨胀,以研究它们的水力学响应。为了验证数值结果,还进行了自由膨胀和体内实验。采用交联聚[甲基丙烯酸甲酯-共丙烯酸]组成的共聚多孔骨锚,以80/20和90/10两种比例模拟体内条件,对其在牛血清中的溶胀特性进行了研究。随后,模拟骨锚埋入不同密度的骨区肿胀。提取界面中产生的径向应力,以检测周围骨的力学响应。根据Wolff定律,这种机械载荷可以被骨力学换能器视为对骨重塑的刺激。骨重塑框架评估骨锚膨胀引起的径向力对周围骨的影响。由90/10组成的可控膨胀比引起的径向应力导致感兴趣区域的良好骨密度(根据区域密度大约在17.5%至54%之间)。然而,80/20成分的过度膨胀导致径向应力超过31 MPa的阈值,导致界面过载吸收(特别是高密度区域,界面完全吸收),危及骨锚和骨融合的成功。发现肿胀比在骨重塑中起着重要作用,必须控制在一定的阈值内,才能保证骨密度,防止过度吸收。绵羊体内研究的结果也证实了这些发现。
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引用次数: 0
A Roadmap to Holographic Focused Ultrasound Approaches for Generating Gradient Thermal Patterns 用于产生梯度热图的全息聚焦超声方法的路线图
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-06-11 DOI: 10.1002/cnm.70055
Ceren Cengiz, Zekeriya Ender Eger, Mihir Pewekar, Pinar Acar, Wynn Legon, Shima Shahab

In therapeutic focused ultrasound (FUS), such as thermal ablation and hyperthermia, effective acousto-thermal manipulation requires precise targeting of complex geometries, sound wave propagation through irregular structures, and selective focusing at specific depths. Acoustic holographic lenses (AHLs) provide a distinctive capability to shape acoustic fields into precise, complex, and multifocal FUS-thermal patterns. Acknowledging the under-explored potential of AHLs in shaping ultrasound-induced heating patterns, this study introduces a roadmap for acousto-thermal modeling in the design of AHLs. Three primary modeling approaches are studied and contrasted using four distinct shape groups for the imposed target field. They include pressure-based time reversal (TR) (basic (BSC-TR) and iterative (ITER-TR)), temperature-based (inverse heat transfer optimization (IHTO-TR)), and machine learning (ML)-based (generative adversarial network (GaN) and GaN with feature (Feat-GAN)) methods. Novel metrics, including image quality, thermal efficiency, thermal control, and computational time, are introduced, providing each method's strengths and weaknesses. The importance of evaluating target pattern complexity, thermal and pressure requirements, and computational resources is highlighted. As a further step, two case studies: (1) transcranial FUS and (2) liver hyperthermia, demonstrate the practical use of acoustic holography in therapeutic settings. This paper offers a practical reference for selecting modeling approaches based on therapeutic goals and modeling requirements. Alongside established methods like BSC-TR and ITER-TR, new techniques IHTO-TR, GaN, and Feat-GaN are introduced. BSC-TR serves as a baseline, while ITER-TR enables refinement based on target shape characteristics. IHTO-TR supports thermal control, GaN offers rapid solutions under fixed conditions, and Feat-GaN provides adaptability across varying application settings.

在治疗聚焦超声(FUS)中,如热消融和热疗,有效的声热操作需要精确瞄准复杂的几何形状,声波通过不规则结构传播,并在特定深度选择性聚焦。声学全息透镜(ahl)提供了一种独特的能力,可以将声场塑造成精确、复杂和多焦点的fus -热模式。考虑到ahl在塑造超声诱导加热模式方面的潜力尚未得到充分开发,本研究介绍了ahl设计中声热建模的路线图。对三种主要的建模方法进行了研究,并使用四种不同的形状组对施加的目标场进行了对比。它们包括基于压力的时间反转(TR)(基本(BSC-TR)和迭代(ITER-TR)),基于温度的(逆传热优化(IHTO-TR))和基于机器学习(ML)的(生成对抗网络(GaN)和具有特征的GaN (feature - GaN))方法。介绍了新的度量,包括图像质量、热效率、热控制和计算时间,并提供了每种方法的优点和缺点。强调了评估目标模式复杂性、热和压力要求以及计算资源的重要性。作为进一步的研究,两个案例研究:(1)经颅FUS和(2)肝脏热疗,证明了声全息术在治疗环境中的实际应用。本文为根据治疗目标和建模要求选择建模方法提供了实用参考。除了BSC-TR和ITER-TR等已建立的方法外,还介绍了IHTO-TR、GaN和fest -GaN等新技术。BSC-TR作为基线,而ITER-TR则基于目标形状特征进行细化。IHTO-TR支持热控制,GaN提供固定条件下的快速解决方案,而fat -GaN提供不同应用设置的适应性。
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引用次数: 0
Analysis of the Role of Vasa Vasorum in the Oxygen Transport to the Aneurysm Wall 血管血管在氧气输送到动脉瘤壁中的作用分析
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-06-10 DOI: 10.1002/cnm.70051
Juan R. Cebral, Fernando Mut, Rainald Lohner, Mukhayyirkhuja Abdurakhmonov, Mehdi Ramezanpour, Yasutake Tobe, Anne M. Robertson

The role of the vasa vasorum in the growth and rupture of intracranial aneurysms, as well as the conditions stimulating its local development along aneurysm walls are not completely clear and have not been studied on an aneurysm-specific basis. In this study, the oxygen distribution throughout the wall of an intracranial aneurysm that underwent substantial thickening and developed an extensive adventitial vasa vasorum network was numerically modeled in order to elucidate the role played by the vasa vasorum. The computational model was constructed based on high-resolution ex vivo micro computed tomography and multi-photon microscopy images of a tissue sample of the aneurysm harvested during open surgery. The mathematical model was based on the transport equation including oxygen diffusion and consumption in the tissue and diffusion across the lumen in the intimal side, and the vasa vasorum in the adventitial side. The governing equation was numerically solved with a finite volume approach on a high-resolution mesh containing approximately 48 million tetrahedra with an element size of 10 μm. The results demonstrate that the observed vasa vasorum plexus provided adequate oxygen supply to the outer layers of the thickened walls. Furthermore, the models show that without the vasa vasorum, due to consumption throughout the wall, the oxygen demand could not be met by diffusion from the luminal surface. These findings support the idea that local hypoxic conditions in regions of increased wall thickness stimulate the development of the vasa vasorum network on the adventitial surface.

血管在颅内动脉瘤生长和破裂中的作用,以及刺激其沿动脉瘤壁局部发展的条件尚不完全清楚,也没有在特定动脉瘤的基础上进行研究。在本研究中,为了阐明血管血管所起的作用,对经过大量增厚并形成广泛的血管外血管网络的颅内动脉瘤壁上的氧气分布进行了数值模拟。该计算模型是基于在开放手术中采集的动脉瘤组织样本的高分辨率离体计算机断层扫描和多光子显微镜图像构建的。该数学模型基于氧在组织中的扩散和消耗,以及在内膜侧通过管腔和外膜侧血管血管的扩散的传输方程。采用有限体积法在高分辨率网格上对控制方程进行了数值求解,该网格包含约4800万个单元尺寸为10 μm的四面体。结果表明,血管丛为增厚壁的外层提供了充足的氧气供应。此外,模型表明,如果没有血管,由于整个壁面的消耗,氧气需求无法通过腔面扩散来满足。这些发现支持了这样一种观点,即壁厚增加区域的局部缺氧条件刺激了血管外表面血管网络的发育。
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International Journal for Numerical Methods in Biomedical Engineering
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