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The Effects of Vertebral Body Tethering on the Intervertebral Discs and Facet Joints: A Numerical Analysis 椎体栓系对椎间盘和关节突关节的影响:数值分析
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-11 DOI: 10.1002/cnm.70084
Luis Fernando Nicolini, Rafael Carreira Oliveira, Vitor Hugo Tramontini, Marx Ribeiro, Carlos Rodrigo de Mello Roesler, Eduardo Alberto Fancello

Anterior vertebral body tethering (VBT) is a promising technique for the treatment of adolescent idiopathic scoliosis. However, the segments directly treated with VBT can experience substantial loads resulting from the tether pretension, which may alter internal stresses and potentially compromise structures such as the intervertebral discs (IVDs) and facet joints. We aim to investigate the effects of tether within the VBT on the L1–L2 IVD stresses and contact forces of the facet joints, using an extensively calibrated and validated finite element model of the T10–S1 spine. The implant was inserted on the left side of the T10–L3 and tensioned up to 300 N representing the tether pretension applied during surgery and the case of the postoperative neutral position. Subsequently, the spine was tested under an external pure moment of 8 Nm. The tether pretension resulted in a significant increase in the IVD stresses. In the neutral position, a gradual increase in intervertebral pressure (IDP) at the center of the IVD of 0.094, 0.181, and 0.267 MPa was observed after applying forces of 100, 200, and 300 N to the tether, respectively. The contact force of the left facet joint also increased with pretension. It was 12.5 N for the native spine and gradually increased to 49.5, 82.0, and 100.9 N for tether pretensions of 100, 200, and 300 N, respectively, during extension. These results indicate that tether pretension is a key parameter that increases the internal stresses of the IVD and the contact forces of the facet joints at the implant side.

前路椎体系扎术(VBT)是治疗青少年特发性脊柱侧凸的一种很有前途的技术。然而,直接使用VBT治疗的节段会因系索预紧而承受巨大的负荷,这可能会改变内应力,并可能损害椎间盘(ivd)和小关节等结构。我们的目的是利用广泛校准和验证的T10-S1脊柱有限元模型,研究VBT内栓对L1-L2 IVD应力和小关节接触力的影响。植入物插入T10-L3左侧,拉伸至300 N,代表术中使用的系绳预张力和术后中立位的情况。随后,在8 Nm的外部纯力矩下对脊柱进行测试。系索预张力导致IVD应力显著增加。在中立位,对系索施加100、200、300 N的力后,IVD中心的椎间压力(IDP)分别逐渐增加0.094、0.181、0.267 MPa。左侧关节突关节接触力随预紧力的增加而增加。原生脊柱为12.5 N,在延伸过程中,分别为100、200和300 N的系索假体逐渐增加到49.5、82.0和100.9 N。这些结果表明系绳预紧力是增加IVD内应力和种植体侧小关节接触力的关键参数。
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引用次数: 0
Computational Assessment of Fracture Risk in Vertebral Bodies With Simulated Defects: The Role of Baseline Strength and Tumor Size 模拟缺陷椎体骨折风险的计算评估:基线强度和肿瘤大小的作用
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-11 DOI: 10.1002/cnm.70081
Mehran Fereydoonpour, Asghar Rezaei, Areonna Schreiber, Lichun Lu, Mariusz Ziejewski, Ghodrat Karami

Accurately predicting vertebral fracture risk in metastatic spines remains a critical challenge in clinical practice. This study developed and validated a QCT-based finite element analysis (QCT/FEA) approach to investigate the combined effects of baseline bone strength and tumor size on vertebral structural integrity. Areal bone mineral density (aBMD) was also calculated from QCT data to evaluate the reduction in bone density with increasing defect size. Nine cadaveric vertebral bodies were analyzed under varying tumor sizes (0%, 20%, 35%, and 50%). The results demonstrated a strong correlation between experimentally measured and computationally predicted failure forces (r = 0.97, p < 0.001) and aBMD values (r = 0.96, p < 0.001). Vertebral strength decreased linearly with increasing tumor size. Importantly, the study revealed that baseline vertebral strength plays a crucial role in fracture risk assessment, often surpassing the impact of tumor size alone. Tumor size reduced vertebral strength at a rate 84% faster than bone density (p = 0.009), highlighting a greater impact of tumor defects on bone fracture force than on bone density. These findings suggest that relying solely on tumor size for fracture risk prediction may be insufficient. Incorporating baseline bone strength into predictive models significantly enhances accuracy and reliability, providing valuable insights for clinical decision-making and personalized treatment strategies. This study underscores the importance of advanced computational tools in improving vertebral fracture risk assessment in metastatic spine cases.

在临床实践中,准确预测转移性脊柱骨折的风险仍然是一个关键的挑战。本研究开发并验证了基于QCT的有限元分析(QCT/FEA)方法,以研究基线骨强度和肿瘤大小对椎体结构完整性的综合影响。根据QCT数据计算面骨矿物质密度(aBMD),以评估骨密度随缺损尺寸增加而减少的情况。我们分析了9个不同肿瘤大小(0%、20%、35%和50%)的尸体椎体。结果表明,实验测量和计算预测的破坏力(r = 0.97, p < 0.001)与aBMD值(r = 0.96, p < 0.001)之间存在很强的相关性。椎体强度随肿瘤大小的增加呈线性下降。重要的是,该研究表明,基线椎体强度在骨折风险评估中起着至关重要的作用,通常超过肿瘤大小的单独影响。肿瘤大小降低椎体强度的速度比骨密度快84% (p = 0.009),突出表明肿瘤缺陷对骨折力的影响大于对骨密度的影响。这些发现表明,仅仅依靠肿瘤大小来预测骨折风险可能是不够的。将基线骨强度纳入预测模型可显著提高准确性和可靠性,为临床决策和个性化治疗策略提供有价值的见解。这项研究强调了先进的计算工具在改善转移性脊柱病例椎体骨折风险评估中的重要性。
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引用次数: 0
Can Multi-Vertebral CT-Based Finite Element Models Accurately Predict Strains? An In Vitro Validation Study 基于多椎体ct的有限元模型能准确预测应变吗?体外验证研究
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-10 DOI: 10.1002/cnm.70085
Alessandra Aldieri, Chiara Garavelli, Luca Patruno, Marco Palanca, Marco Viceconti

Many proposed FE models to predict the vertebral risk of fracture consider single vertebrae only, neglecting the role of the intervertebral discs in load transmission and distribution across vertebrae. Inclusion of the intervertebral discs in multi-vertebrae models would allow more physiological boundary conditions. However, while CT allows material properties to be assigned to the vertebrae, no information about the discs is provided. Hence, the aim of this study was to build multi-level FE models uniquely based on CT data and validate them by comparing the predicted displacements and strains against the experimental measurements. One spine segment (T10-L1) was harvested from a human spine and tested in flexion-compression in the elastic regime. During the test, displacements and strains on the anterior surface were measured with digital image correlation. The FE model was built starting from the CT scan of that same spine segment. HU-based isotropic linear elastic properties were assigned to the vertebral bone. Five different combinations of hyperelastic material properties from the literature were assigned to the discs, modeling the nucleus pulposus and the anulus fibrosus separately. The boundary conditions replicated the flexion-compression test performed experimentally. Predicted displacements and strains on the vertebrae surfaces were compared against the measured displacements and strains. The model excellently predicted the displacement field (R2 = 0.92/0.99). On the other hand, different constitutive laws for the discs resulted in different principal strain distributions, which substantially differed from the experimental one, showing average relative errors higher than 34%. In conclusion, a different modeling approach should be adopted for the discs in CT-based multi-level FE models to achieve acceptable accuracy.

许多提出的预测椎体骨折风险的有限元模型只考虑单个椎体,而忽略了椎间盘在椎体间载荷传递和分布中的作用。在多椎体模型中纳入椎间盘将允许更多的生理边界条件。然而,虽然CT允许将材料属性分配给椎骨,但没有提供有关椎间盘的信息。因此,本研究的目的是建立基于CT数据的多层次有限元模型,并通过将预测的位移和应变与实验测量结果进行比较来验证模型。一个脊柱节段(T10-L1)从人脊柱中取出,在弹性状态下进行屈曲-压缩测试。在试验过程中,采用数字图像相关测量了前表面的位移和应变。从同一脊柱节段的CT扫描开始建立有限元模型。基于hu的各向同性线弹性特性被分配给椎骨。从文献中选取五种不同的超弹性材料组合用于椎间盘,分别模拟髓核和纤维环。边界条件复制了实验进行的弯曲压缩试验。将预测的椎体表面位移和应变与测量的位移和应变进行比较。该模型能较好地预测位移场(R2 = 0.92/0.99)。另一方面,不同的本构规律导致的主应变分布与实验结果存在较大差异,平均相对误差大于34%。综上所述,在基于ct的多级有限元模型中,椎间盘应采用不同的建模方法以达到可接受的精度。
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引用次数: 0
Computational Modelling of Cancer Nanomedicine: Integrating Hyperthermia Treatment Into a Multiphase Porous-Media Tumour Model 癌症纳米医学的计算模型:将热疗纳入多相多孔介质肿瘤模型
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-05 DOI: 10.1002/cnm.70074
Barbara Wirthl, Paolo Decuzzi, Bernhard A. Schrefler, Wolfgang A. Wall

Heat-based cancer treatment, so-called hyperthermia, can be used to destroy tumour cells directly or to make them more susceptible to chemotherapy or radiation therapy. To apply heat locally, iron oxide nanoparticles are injected into the bloodstream and accumulate at the tumour site, where they generate heat when exposed to an alternating magnetic field. However, the temperature must be precisely controlled to achieve therapeutic benefits while avoiding damage to healthy tissue. We therefore present a computational model for nanoparticle-mediated hyperthermia treatment fully integrated into a multiphase porous-media model of the tumour and its microenvironment. We study how the temperature depends on the amount of nanoparticles accumulated in the tumour area and the specific absorption rate of the nanoparticles. Our results show that host tissue surrounding the tumour is also exposed to considerable doses of heat due to the high thermal conductivity of the tissue, which may cause pain or even unnecessary irreversible damage. Further, we include a lumped and a discrete model for the cooling effect of blood perfusion. Using a discrete model of a realistic microvasculature reveals that the small capillaries do not have a significant cooling effect during hyperthermia treatment and that the commonly used lumped model based on Pennes' bioheat equation may overestimate the effect: within the specific conditions analysed, the difference between lumped and discrete approaches is approximatively 0.75°C, which could influence the therapeutic intervention outcome. Such a comprehensive computational model, as presented here, can provide insights into the optimal treatment parameters for nanoparticle-mediated hyperthermia and can be used to design more efficient treatment strategies.

以热为基础的癌症治疗,即所谓的热疗,可以用来直接摧毁肿瘤细胞,或者使它们更容易受到化疗或放疗的影响。为了局部加热,将氧化铁纳米颗粒注射到血液中,并在肿瘤部位积聚,当暴露在交变磁场中时,它们会产生热量。然而,温度必须精确控制,以达到治疗效果,同时避免损害健康组织。因此,我们提出了一个纳米颗粒介导的热疗治疗的计算模型,该模型完全集成到肿瘤及其微环境的多相多孔介质模型中。我们研究了温度如何依赖于肿瘤区域积累的纳米粒子的数量和纳米粒子的特定吸收率。我们的研究结果表明,由于组织的高导热性,肿瘤周围的宿主组织也暴露在相当大的热剂量下,这可能导致疼痛甚至不必要的不可逆损伤。此外,我们还包括一个集总模型和一个离散模型,用于血液灌注的冷却效果。使用现实微血管的离散模型表明,小毛细血管在热疗治疗期间没有显著的冷却效果,并且基于Pennes生物热方程的常用集总模型可能高估了效果:在分析的特定条件下,集总方法和离散方法之间的差异约为0.75°C,这可能会影响治疗干预结果。这样一个全面的计算模型,如本文所述,可以为纳米颗粒介导的热疗的最佳治疗参数提供见解,并可用于设计更有效的治疗策略。
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引用次数: 0
Computational Multiscale Modeling of Pulsed Field Ablation Considering Conductivity and Damage Anisotropy Reveals Deep Lesion Morphologies 考虑电导率和损伤各向异性的脉冲场消融计算多尺度模型揭示了深部损伤形态
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-03 DOI: 10.1002/cnm.70077
Quim Castellvi, Antoni Ivorra

Pulsed Field Ablation (PFA) is an electroporation-based treatment modality to perform cardiac tissue ablations. Heart parenchyma is mainly constituted by elongated myocytes organized in fibers. This anisotropic morphology results in a preferential pathway for the electric current to flow along. Assuming conventional PFA modeling approaches in which lesions form where the electric field surpasses a threshold, such conductance anisotropy would result in relatively wide and shallow lesion morphologies when PFA applications are delivered with a focal monopolar catheter. Contrary to that, some recent preclinical data present narrow and deep elongated lesions. This study presents a multiscale simulation approach able to estimate electroporation treatment outcomes when applied in a highly anisotropic tissue such as the myocardium. In this work, a microscopic model was first implemented mimicking the conformation of the cardiac tissue. Longitudinal and transversal electric fields at different frequencies and magnitudes were applied to characterize the expected anisotropic behavior at the tissue level in terms of electric conductivity and expected membrane disruption due to electroporation. Second, the microscopic characterization was integrated into a macroscopic model of a focal ablation catheter in contact with the myocardial tissue to simulate the delivery of monopolar PFA treatments. The microscopic simulations results show that when low electric field magnitudes are applied, the induced membrane disruptions predominantly appear in fibers parallel to the electric field. However, at higher field magnitudes, a demarcated superior sensitivity is observed in perpendicular orientation. The integration of these anisotropic properties into the macroscopic model predicts width/depth ratios of 1.2 compared to the ratios of about 2 predicted with conventional modeling. In this work, the presented multiscale model and approach can predict relatively narrow and deep lesions, as observed preclinically.

脉冲场消融(PFA)是一种基于电穿孔的心脏组织消融治疗方式。心脏实质主要由细长的肌细胞组成,呈纤维状组织。这种各向异性形态导致了电流流动的优先途径。假设传统的PFA建模方法是在电场超过阈值时形成病变,那么当PFA应用于局灶单极导管时,这种电导各向异性将导致相对较宽和较浅的病变形态。与此相反,最近的一些临床前数据显示狭窄和深度拉长的病变。本研究提出了一种多尺度模拟方法,能够估计电穿孔治疗在高度各向异性组织(如心肌)中的效果。在这项工作中,首先实现了一个微观模型,模拟心脏组织的构象。应用不同频率和大小的纵向和横向电场来表征组织水平上的预期各向异性行为,包括电导率和由于电穿孔导致的预期膜破坏。其次,将微观表征整合到与心肌组织接触的局灶消融导管的宏观模型中,以模拟单极PFA治疗的传递。微观模拟结果表明,当施加低电场强度时,诱导的膜破坏主要出现在平行于电场的纤维中。然而,在较高的场强下,在垂直方向上观察到标定的优越灵敏度。将这些各向异性属性整合到宏观模型中,预测宽度/深度比为1.2,而传统模型预测的比率约为2。在这项工作中,所提出的多尺度模型和方法可以预测相对狭窄和深度的病变,正如临床前观察到的那样。
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引用次数: 0
From Bench Testing to Virtual Implantation: A Comparative Study Between Poly-l-Lactic Acid and Nickel-Titanium Braided Stents. 从台架试验到虚拟植入:聚乳酸与镍钛编织支架的比较研究。
IF 2.4 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-08-01 DOI: 10.1002/cnm.70078
Agnese Lucchetti, Levi G Juhl, Anna Corti, Alissa Zaccaria, Thomas Gries, Claudio Chiastra, Ted J Vaughan, Dario Carbonaro

Bioresorbable braided stents represent a promising solution for the treatment of peripheral artery disease, providing temporary mechanical support before gradually degrading into biocompatible byproducts. Previous studies have highlighted their lower mechanical performance compared to permanent metallic stents. However, their implantation in lower limb arteries remains unexplored, leaving uncertainty on whether their mechanical performance is sufficient for effective treatment. The aim of the present study was to evaluate the performance of a poly-l-lactic acid (PLLA) braided stent for the treatment of lower limb arteries through in silico analysis and compare it with that of a nickel-titanium (NiTi) device. A finite element (FE) model of the PLLA stent was implemented and validated against experimental bench test data. Subsequently, the mechanical characteristics of the PLLA device were compared to those of a NiTi stent, with identical geometrical features, through FE simulations of two bench tests (i.e., parallel plate compression and crimping tests). Finally, a virtual implantation procedure of both devices in a patient-specific lower limb artery was conducted by FE analysis, accounting for three different arterial wall conditions, to compare the stents' treatment performance. The FE analysis of the bench tests confirmed that the PLLA stent generated much lower force magnitudes than the NiTi device. Moreover, the virtual implantation procedure indicated the limited short-term performance of the PLLA stent for the treatment of peripheral artery disease in terms of risk for permanent deformations, low lumen gain, high values of incomplete stent apposition and a nonuniform distribution of contact pressure on the arterial wall.

生物可吸收的编织支架是治疗外周动脉疾病的一个很有前途的解决方案,在逐渐降解为生物相容的副产物之前提供暂时的机械支持。先前的研究强调,与永久性金属支架相比,它们的机械性能较低。然而,它们在下肢动脉中的植入仍未被探索,留下了它们的机械性能是否足以有效治疗的不确定性。本研究的目的是通过硅分析评估聚乳酸(PLLA)编织支架治疗下肢动脉的性能,并将其与镍钛(NiTi)装置进行比较。建立了PLLA支架的有限元模型,并通过台架试验数据进行了验证。随后,通过两个台架试验(即平行板压缩和卷曲试验)的有限元模拟,比较了几何特征相同的PLLA装置与NiTi支架的力学特性。最后,考虑到三种不同的动脉壁状况,通过FE分析将两种装置虚拟植入患者特定的下肢动脉,比较支架的治疗效果。台架试验的有限元分析证实,PLLA支架产生的力量级远低于NiTi装置。此外,虚拟植入过程表明PLLA支架在治疗外周动脉疾病方面的短期性能有限,包括永久性变形的风险、低管腔增益、支架不完全贴置的高值以及动脉壁接触压力的不均匀分布。
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引用次数: 0
A Computational Approach to Investigate the Structural Behavior of Bone Scaffold-Implanted Proximal Femur in Routine Clinical Resolution 在常规临床分辨率下研究骨支架植入股骨近端结构行为的计算方法
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-25 DOI: 10.1002/cnm.70072
Jun Won Choi, Jung Jin Kim

Bone scaffolds are artificial structures used to repair or reconstruct damaged bone tissue and restore its function. Various scaffold materials and structures have been studied, but few have assessed their behavior within anatomical geometries using 2D clinical CT data. Therefore, this study employed a computational approach to analyze the structural behavior of bone scaffolds composed of different materials and porous structures when implanted into a 2D model of the proximal femur derived from clinical-resolution CT images. In addition, this study investigated the relationship between the apparent elastic modulus of bone scaffolds and that of the surrounding bone. The results demonstrated that selecting appropriate materials and porous structures is essential for designing scaffolds with AEM values similar to those of native bone. Scaffolds with matching AEM effectively transferred and supported external loads, whereas those designed solely for high stiffness were less effective in load transmission. Notably, in the femoral head, the square and circular scaffolds made with NBM showed the smallest AEM differences from native bone: 0.93% and 8.27%, respectively. In the femoral neck, circular and triangular scaffolds made with PLDLLA/TCP exhibited the smallest differences of 39.38% and 11.00%. In the intertrochanter, honeycomb and triangular scaffolds made with NBM showed the smallest deviations: 24.51% and 33.00%, respectively. Among all combinations, the square-type scaffold with NBM also generated the highest internal strain energy in the femoral head (9.163 μJ), whereas the triangle scaffold with Bioglass/PLGA exhibited the lowest (0.091 μJ). These findings underscore the importance of tailoring scaffold stiffness to specific anatomical sites to optimize mechanical stimulation and promote bone regeneration.

骨支架是用于修复或重建受损骨组织并恢复其功能的人工结构。已经研究了各种支架材料和结构,但很少有人使用二维临床CT数据评估其在解剖几何中的行为。因此,本研究采用计算方法分析由不同材料和多孔结构组成的骨支架植入临床分辨率CT图像衍生的股骨近端二维模型时的结构行为。此外,本研究还研究了骨支架的表观弹性模量与周围骨的表观弹性模量的关系。结果表明,选择合适的材料和多孔结构是设计AEM值与天然骨相似的支架的关键。与AEM匹配的支架可以有效地传递和支撑外部载荷,而单纯为高刚度设计的支架传递载荷的效果较差。值得注意的是,在股骨头中,用NBM制成的方形和圆形支架与天然骨的AEM差异最小,分别为0.93%和8.27%。在股骨颈,pldla /TCP制成的圆形和三角形支架的差异最小,分别为39.38%和11.00%。在粗隆间,蜂窝状支架和三角形支架的偏差最小,分别为24.51%和33.00%。在所有组合中,含有NBM的方形支架在股骨头处产生的内部应变能最高(9.163 μJ),而含有生物玻璃/PLGA的三角形支架在股骨头处产生的内部应变能最低(0.091 μJ)。这些发现强调了根据特定解剖部位调整支架刚度以优化机械刺激和促进骨再生的重要性。
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引用次数: 0
Effect of Pulsatile Blood Flow Parameters on Membrane Oxygenator Performance: A Cross-Scale Simulation Study 脉动血流参数对膜氧合器性能影响的跨尺度模拟研究
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-22 DOI: 10.1002/cnm.70076
Yuan Liu, Yuanfei Zhu, Junwen Yu, Shangting Wang, Ming Yang

Pulsatile blood flow has the potential to improve microcirculation perfusion and increase the oxygen transfer rate of the oxygenator. However, the specific effects of pulsatile blood flow parameters on the oxygen transfer rate remain unclear. A cross-scale simulation model for the oxygenator is established to investigate the relationship between the oxygen transfer rate of the oxygenator and the pulsatile blood flow parameters. This model comprises a macroscopic model for the oxygenator and a microscopic model for the hollow fiber membrane within the oxygenator. The macroscopic model is employed to calculate the oxygen transfer rate of the oxygenator under various pulsatile blood flow parameters, and a back propagation (BP) neural network is trained to extend the calculation result. The microscopic model for the hollow fiber membrane is employed to elucidate the mechanisms responsible for variations in the oxygen transfer rate. The simulation results demonstrate that at a blood flow rate of 1 L/min, the oxygen transfer rate is minimally affected by blood flow pulsation parameters. While under 2 L/min to 5 L/min, compared to steady blood flow, the oxygen transfer rate can be increased by 3% to 6% when pulsatile blood flow with a pulsation frequency below 0.5 Hz and a pulsation amplitude exceeding 80% is used. However, as the pulsatile frequency increases or the amplitude decreases, the oxygen transfer rate may approach or even fall below the levels achieved under steady-state blood flow conditions.

搏动血流具有改善微循环灌注和增加氧合器氧传递速率的潜力。然而,脉动血流参数对氧传递速率的具体影响尚不清楚。建立了氧合器的跨尺度模拟模型,研究氧合器的氧传递速率与搏动血流参数的关系。该模型包括充氧器的宏观模型和充氧器内中空纤维膜的微观模型。采用宏观模型计算不同脉动血流参数下氧合器的氧传递速率,并训练BP神经网络对计算结果进行扩展。利用中空纤维膜的微观模型阐明了氧传递速率变化的机理。仿真结果表明,当血流速率为1 L/min时,血流脉动参数对氧传递速率的影响最小。在2 L/min ~ 5 L/min条件下,脉动频率低于0.5 Hz、脉动幅值超过80%的脉动血流,与稳定血流相比,氧传递率可提高3% ~ 6%。然而,随着搏动频率的增加或幅度的减小,氧传递速率可能接近甚至低于稳态血流条件下的水平。
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引用次数: 0
On Implementation of a Finite Element Visco-Hyperelastic Material Model for Spinal Ligaments in Explicit Time Integration Method With an Infinite Impulse Response Filtering Technique 用无限脉冲响应滤波技术显式时间积分法实现脊柱韧带有限元粘超弹性材料模型
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-22 DOI: 10.1002/cnm.70075
T. Wiczenbach, L. Pachocki, W. Witkowski, B. Meronk, K. Wilde
<div> <p>This study introduced the development and validation of a transversely isotropic, visco-hyperelastic constitutive model for human spinal ligaments, implemented using the Finite Element Method (FEM). The model, incorporating a Neo-Hookean strain energy function for the isotropic matrix and a polynomial function for the anisotropic fibers, enriched with viscous aspects, was employed within the Ansys LS-Dyna environment. Infinite Impulse Response filtering techniques were integrated into the numerical analysis as a novel approach, aimed at refining the stability and computational efficiency of the simulations under various strain rates (<span></span><math> <semantics> <mrow> <mn>0.5</mn> <mspace></mspace> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <annotation>$$ 0.5kern0.5em {mathrm{s}}^{-1} $$</annotation> </semantics></math>, <span></span><math> <semantics> <mrow> <mn>20</mn> <mspace></mspace> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <annotation>$$ 20kern0.5em {mathrm{s}}^{-1} $$</annotation> </semantics></math>, <span></span><math> <semantics> <mrow> <mn>150</mn> <mspace></mspace> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <annotation>$$ 150kern0.5em {mathrm{s}}^{-1} $$</annotation> </semantics></math>, and <span></span><math> <semantics> <mrow> <mn>300</mn> <mspace></mspace> <msup> <mi>s</mi> <mrow> <mo>−</mo> <mn>1</mn> </mrow> </msup> </mrow> <annotation>$$ 300kern0.5em {mathrm{s}}^{-1} $$</annotation> </semantics></math>). This feature significantly mitigated numerical instabilities that could appear when an explicit time integration scheme was used with high strain rate scenarios, critical in modeling vehicular collisions. Material parameters of ligament tissues were acquired through nonlinear least squares fitting to low and high strain experimental data. A comparative analysis of the FEM results against analytical solutions demonstrated th
本研究介绍了一个横向各向同性、粘-超弹性的人体脊柱韧带本构模型的开发和验证,该模型采用有限元法(FEM)实现。该模型结合了各向同性矩阵的Neo-Hookean应变能函数和各向异性纤维的多项式函数,丰富了粘性方面,并在Ansys LS-Dyna环境中使用。无限脉冲响应滤波技术作为一种新颖的方法集成到数值分析中,旨在改善各种应变速率(0.5 s−1 $$ 0.5kern0.5em {mathrm{s}}^{-1} $$,20 s−1 $$ 20kern0.5em {mathrm{s}}^{-1} $$,150 s−1 $$ 150kern0.5em {mathrm{s}}^{-1} $$,300s−1 $$ 300kern0.5em {mathrm{s}}^{-1} $$)。这一特征显著减轻了在高应变率情景下使用显式时间积分方案时可能出现的数值不稳定性,这对模拟车辆碰撞至关重要。通过对高、低应变实验数据的非线性最小二乘拟合,获得韧带组织的材料参数。有限元结果与解析解的对比分析证明了该模型的有效性,在各种统计指标上具有很好的一致性。结果表明,本构模型能较好地描述高应变率下脊柱韧带的粘弹性生物力学行为。该模型可应用于其他具有粘-超弹性反应的软组织。因此,本构法的实施被成功地用于考虑各种韧带结构的分析。
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引用次数: 0
A Continuum Approach With Adaptive Mesh Refinement for Platelet Plug Formation 血小板塞形成的自适应网格细化连续体方法
IF 2.2 4区 医学 Q3 ENGINEERING, BIOMEDICAL Pub Date : 2025-07-19 DOI: 10.1002/cnm.70073
Ugo Pelissier, Philippe Meliga, Elie Hachem

Platelet plug formation is a critical physiological response to vascular injury, serving as a cornerstone of primary hemostasis. Understanding and simulating this process are essential for advancing patient-specific treatments and interventions. However, achieving a balance between model accuracy and computational efficiency, in particular, for patient-specific scenarios, remains a challenge. In this work, we present a continuum-based approach for simulating platelet plug formation using adaptive mesh refinement, providing a novel solution in this field that enables both accuracy and computational feasibility. Indeed, it integrates a stabilized finite element method within the Variational Multiscale framework to model blood flow dynamics, treated as a non-Newtonian fluid, along with the transport of biochemical species such as platelets and agonists. The platelet plug is represented by an extra stress term in the Navier–Stokes equation, capturing its influence on local blood flow dynamics as a rigid body. A key feature is related to anisotropic mesh adaptation, enabling high-resolution representation of the evolving platelet plug boundary while drastically reducing computational cost. We validate the model against two-dimensional benchmarks under varying shear rates and apply it to a 3D scenario, demonstrating its scalability and precision in simulating thrombosis under complex hemodynamic conditions. The results highlight the model's unique capability to facilitate accurate and efficient patient-specific simulations, offering a transformative tool for advancing personalized medicine.

血小板栓的形成是对血管损伤的重要生理反应,是初级止血的基石。理解和模拟这一过程对于推进患者特异性治疗和干预至关重要。然而,实现模型准确性和计算效率之间的平衡,特别是针对特定患者的场景,仍然是一个挑战。在这项工作中,我们提出了一种基于连续体的方法,利用自适应网格细化来模拟血小板塞的形成,为该领域提供了一种新颖的解决方案,既能保证准确性,又能保证计算可行性。事实上,它在变分多尺度框架内集成了稳定的有限元方法来模拟血流动力学,将血流动力学视为非牛顿流体,以及血小板和激动剂等生化物质的运输。血小板栓在Navier-Stokes方程中由一个额外的应力项表示,捕捉其作为刚体对局部血流动力学的影响。一个关键特征与各向异性网格适应有关,能够高分辨率地表示不断变化的血小板塞边界,同时大大降低了计算成本。我们在不同剪切速率的二维基准下验证了该模型,并将其应用于3D场景,证明了其在复杂血流动力学条件下模拟血栓形成的可扩展性和准确性。结果突出了该模型的独特能力,可以促进准确和高效的患者特定模拟,为推进个性化医疗提供变革性工具。
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引用次数: 0
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International Journal for Numerical Methods in Biomedical Engineering
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