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Finite element modeling of human Achilles tendon: impact of subtendon modeling and fiber direction 人体跟腱的有限元建模:对腱下建模和纤维方向的影响。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-09-07 DOI: 10.1007/s10237-026-02132-z
Chiara Garavelli, Pernilla Eliasson, Hanna Isaksson

The Achilles tendon is the thickest tendon in the human body, and it is composed of three subtendons connected to the calf muscles (soleus, medial and lateral gastrocnemius). This study aimed to evaluate the importance of explicitly modeling subtendons and collagen fiber orientation on the predicted strain distribution within tendon tissue during mechanical loading. Magnetic resonance images from seven subjects were used to create subject-specific finite element models. The segmented tendons were modeled in two ways: the entire tendon as one structure, then dividing it into the three subtendons. A fiber-reinforced poro-visco-hyperelastic material model was used to describe the mechanical response. The collagen fibers were first oriented in the proximal–distal direction, then twisted following the subtendon orientation. Principal strains were analyzed, assessing the impact of subject-specific geometry on strain magnitudes, localization and distributions. Average strains were similar across subjects (coefficient of variation = 18%), but location and magnitude of peak strains were subject-specific. While models including the subtendons predicted similar average strain values to those without, local heterogeneity increased substantially in the subtendon model (Full-Width at Half-Maximum increased from 0.03 to 0.08). Altering the collagen fiber orientation shifted the localization of higher strains (Full-Width at Half-Maximum = 0.11). In conclusion, both subtendons and realistic fiber orientation should be considered when modeling the mechanical behavior in the Achilles tendon as it strongly affects the strain distribution within the tendon. Accurate prediction of strain localization and distribution is important for further studies of tendon mechanobiology and for designing more effective rehabilitation protocols.

跟腱是人体最粗的肌腱,它由连接小腿肌肉(比目鱼肌、腓肠肌内侧肌和腓肠肌外侧肌)的三个次肌腱组成。本研究旨在评估明确建模亚肌腱和胶原纤维方向对机械加载期间肌腱组织内预测应变分布的重要性。来自7名受试者的磁共振图像被用来创建特定于受试者的有限元模型。采用两种方法对分段肌腱进行建模:将整个肌腱作为一个结构,然后将其划分为三个子肌腱。采用纤维增强多孔粘超弹性材料模型来描述其力学响应。胶原纤维首先在近端和远端方向上取向,然后在肌腱下方向上扭曲。分析了主应变,评估了主体特定几何形状对应变大小、局部化和分布的影响。不同受试者的平均菌株相似(变异系数为18%),但菌株峰值的位置和大小因受试者而异。虽然包含下肌腱的模型预测的平均应变值与不包含下肌腱的模型相似,但下肌腱模型的局部异质性显著增加(半最大时的全宽度从0.03增加到0.08)。改变胶原纤维的取向改变了较高菌株的定位(Full-Width at Half-Maximum = 0.11)。综上所述,在模拟跟腱的力学行为时,应同时考虑亚肌腱和真实纤维方向,因为它强烈影响跟腱内的应变分布。准确预测应变的定位和分布对进一步研究肌腱力学生物学和设计更有效的康复方案具有重要意义。
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引用次数: 0
Fully coupled patient-specific fluid–structure interaction modeling of post-TAVI hemodynamics compared with echocardiographic measurements tavi后血流动力学与超声心动图测量相比较的完全耦合患者特异性流固相互作用模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-09-04 DOI: 10.1007/s10237-026-02130-1
Chiara Catalano, Deniz Ozturk, Maria Bastron, Alessandra Zerillo, Stefano Cannata, Caterina Gandolfo, Salvatore Pasta

To develop a fully coupled, patient-specific fluid–structure interaction (FSI) framework for quantitative assessment of post–transcatheter aortic valve implantation (TAVI) hemodynamics and valve biomechanics, and to compare selected simulation-derived hemodynamic indices with post-procedural echocardiographic measurements. Patient-specific geometries were reconstructed from pre-operative computed tomography angiography in five subjects treated with SAPIEN 3 Ultra (S3) devices. Structural TAVI deployment was simulated using Abaqus/Explicit and subsequently coupled with FlowVision for performing a two-way post-TAVI FSI analysis. Personalized boundary conditions were derived from clinical measurements, including heart rate, blood pressure, and echocardiographic flow data. Predicted peak velocity, effective orifice area (EOA), and transvalvular pressure gradients (TPG) were quantitatively compared with post-procedural echocardiography using empirical cumulative distribution functions and area-based error metrics. The FSI framework reproduced realistic leaflet kinematics and patient-specific flow patterns, highlighting marked inter-patient variability despite identical device types. Average of predicted peak systolic velocity (2.66 ± 0.59 m/s) and TPG (22 ± 10.7 mmHg) showed good agreement with echocardiographic measurements as the area metric was below 10% for both peak TPG and velocity. Larger discrepancies were observed for EOA due to patient variability and reliability of echocardiographic measurements. The model additionally quantified biomechanical and hemodynamic parameters, including leaflet stress, time-averaged wall shear stress (TAWSS), and blood residence time (BRT). The proposed fully coupled FSI framework enables patient-specific analysis of post-TAVI hemodynamics and valve mechanics for S3 balloon-expandable intra-annular system. The preliminary comparison with echocardiographic measurements showed good agreement for peak velocity and peak TPG, while larger EOA discrepancies highlight the need for further clinical benchmarking using larger cohorts and more direct measurement modalities.

建立一个完全耦合的、患者特异性的流体-结构相互作用(FSI)框架,用于定量评估经导管主动脉瓣植入后(TAVI)血流动力学和瓣膜生物力学,并将选定的模拟得出的血流动力学指标与术后超声心动图测量结果进行比较。通过术前计算机断层血管造影重建5例使用SAPIEN 3 Ultra (S3)装置治疗的患者的特定几何形状。使用Abaqus/Explicit模拟结构TAVI部署,随后结合FlowVision进行双向TAVI后FSI分析。个性化边界条件来源于临床测量,包括心率、血压和超声心动图血流数据。利用经验累积分布函数和基于面积的误差指标,将预测的峰值流速、有效孔口面积(EOA)和跨瓣压力梯度(TPG)与术后超声心动图进行定量比较。FSI框架再现了真实的小叶运动学和患者特定的血流模式,尽管相同的设备类型,但突出了显着的患者间可变性。预测峰值收缩速度(2.66±0.59 m/s)和TPG(22±10.7 mmHg)的平均值与超声心动图测量结果吻合良好,因为峰值TPG和速度的面积指标均低于10%。由于患者的可变性和超声心动图测量的可靠性,观察到较大的差异。该模型还量化了生物力学和血流动力学参数,包括小叶应力、时间平均壁剪切应力(TAWSS)和血液停留时间(BRT)。所提出的全耦合FSI框架能够对tavi后血流动力学和S3球囊可扩张环内系统的瓣膜力学进行患者特异性分析。与超声心动图测量的初步比较显示峰值流速和峰值TPG的一致性很好,而更大的EOA差异表明需要使用更大的队列和更直接的测量方式进行进一步的临床基准测试。
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引用次数: 0
Dynamic image-informed selection of biomechanical tumor growth models 生物力学肿瘤生长模型的动态图像选择。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-31 DOI: 10.1007/s10237-026-02121-2
Abdullah Al Noman, Pratyush Kumar Singh, David A. Hormuth II, Danial Faghihi

Glioblastoma progression is strongly influenced by evolving mechanical interactions between the tumor and surrounding brain tissue. However, the extent to which finite-deformation mechanics and constitutive assumptions improve subject-specific prediction as tumor burden evolves remains unclear. We introduce a sequential Bayesian inference and dynamic model selection framework that assimilates longitudinal murine magnetic resonance imaging (MRI) data to calibrate spatially varying tumor diffusivity, proliferation rate, and tissue stiffness in biomechanical tumor growth models. Competing formulations were compared at each imaging time, including reaction–diffusion without mechanics and reaction–diffusion coupled to linear elasticity or hyperelastic mechanics, using posterior model plausibility to adapt model choice for individualized one-scan-ahead prediction as new MRI scans are acquired. Across the studied animals, mechanically coupled models were consistently more plausible than the uncoupled reaction–diffusion model, and the evolution of model plausibility indicated an increasing role of mass effect and stress-mediated feedback of tumor growth during progression. While linear and hyperelastic coupled tumor growth models often produced similar tumor morphology, they yield distinct stress, deformation, and inferred stiffness fields, with the hyperelastic formulation often receiving higher posterior plausibility at later imaging times. These results indicate that, within the present longitudinal murine dataset, mechanical coupling is favored for image-informed glioma growth prediction and that constitutive assumptions should be evaluated sequentially for each subject rather than fixed a priori.

胶质母细胞瘤的进展受到肿瘤与周围脑组织之间不断发展的机械相互作用的强烈影响。然而,随着肿瘤负荷的发展,有限变形力学和本构假设在多大程度上改善了受试者特异性预测仍不清楚。我们引入了一个序列贝叶斯推理和动态模型选择框架,该框架吸收了纵向小鼠磁共振成像(MRI)数据,以校准生物力学肿瘤生长模型中空间变化的肿瘤弥散性、增殖率和组织刚度。在每个成像时间比较竞争公式,包括没有力学的反应扩散和耦合线性弹性或超弹性力学的反应扩散,使用后检模型合理性来适应模型选择,以便在获得新的MRI扫描时进行个性化的一次扫描预测。在所研究的动物中,机械耦合模型始终比不耦合的反应-扩散模型更可信,模型可信度的演变表明,质量效应和应力介导的反馈在肿瘤生长过程中的作用越来越大。虽然线性和超弹性耦合肿瘤生长模型通常产生相似的肿瘤形态,但它们产生不同的应力、变形和推断的刚度场,超弹性公式通常在后期成像时具有更高的后检合理性。这些结果表明,在目前的纵向小鼠数据集中,机械耦合有利于图像信息的胶质瘤生长预测,并且本构假设应该对每个受试者进行顺序评估,而不是先验地固定。
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引用次数: 0
Calcium-mediated force–interval relationship drives post-extrasystolic potentiation in premature ventricular complexes: a computational study 钙介导的力-间期关系驱动过早心室复合体的收缩后增强:一项计算研究
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-30 DOI: 10.1007/s10237-026-02119-w
Sjoerd Vossen, Nick van Osta, Guilherme Pedro Carvalho Lourenço, Sérgio Matoso Laranjo, Joost Lumens

Premature ventricular complexes (PVCs) are common cardiac arrhythmias that can lead to cardiomyopathy when frequent. Post-extrasystolic potentiation (PESP), which is the transient increase in contractility following a PVC, may serve as a predictive marker for heart failure risk; yet, the underlying calcium-mediated mechanisms and their relative contribution compared to loading conditions remain poorly understood. We integrated a mechanochemical model coupling intracellular calcium dynamics to sarcomere mechanics within the CircAdapt closed-loop cardiovascular framework. A novel calcium source model incorporating the force–interval relationship was calibrated using experimental canine data. We simulated single PVCs across varying coupling intervals and systematically investigated the contributions of calcium dynamics versus loading conditions to PESP, quantified as changes in systolic blood pressure (∆SBP), maximum rate of left ventricular pressure rise (∆max(dPLv/dt)), and left ventricular ejection fraction (∆LVEF). The calcium-based force–interval relationship reproduced experimental mechanical restitution curves with high accuracy (RMSE 9.59 ± 0.08%). Shorter coupling intervals reduced premature beat contractility while enhancing PESP in subsequent beats. Systematic variation of preload, afterload, and intrinsic contractility revealed that calcium dynamics reproduce the observed PESP patterns, with loading conditions as modulators. Notably, ∆max(dPLv/dt) and ∆SBP responded differently, with ∆SBP exhibiting complex non-monotonic behavior. The model qualitatively reproduced pressure–volume patterns from a single clinical quadrigeminy case. This study demonstrates that a calcium-based force–interval formulation reproduces the qualitative features of PESP within this framework, with preload and afterload modulating the pattern of beat-to-beat pressure response. The divergent behavior among contractility metrics emphasizes the need for multimetric assessment. This framework enables distinguishing intrinsic myocardial dysfunction from extrinsic loading effects, facilitating patient-specific risk stratification in PVC-induced cardiomyopathy.

室性早搏是一种常见的心律失常,频繁发作可导致心肌病。收缩后增强(PESP),即PVC后短暂性收缩性增强,可作为心力衰竭风险的预测指标;然而,潜在的钙介导机制及其相对于负载条件的贡献仍然知之甚少。我们在CircAdapt闭环心血管框架内集成了将细胞内钙动力学与肌节力学耦合的机械化学模型。利用实验犬的数据,建立了一种结合力-间隔关系的钙源模型。我们模拟了不同耦合时间间隔的单心室颤动,系统地研究了钙动力学和负荷条件对PESP的贡献,量化为收缩压(∆SBP)、最大左室压升高率(∆max(dPLv/dt))和左室射血分数(∆LVEF)的变化。钙基力-间隔关系能较好地再现实验力学恢复曲线(RMSE 9.59±0.08%)。较短的耦合间隔减少了早拍收缩性,同时增强了后续拍的PESP。预载、后载和固有收缩性的系统变化表明,钙动力学再现了所观察到的PESP模式,加载条件是调制器。值得注意的是,∆max(dPLv/dt)和∆SBP的反应不同,其中∆SBP表现出复杂的非单调行为。该模型定性地再现了一个临床四联体病例的压力-体积模式。该研究表明,基于钙的力间隔公式在该框架内再现了PESP的定性特征,预加载和后加载调节了节拍对节拍压力响应的模式。收缩性指标之间的差异行为强调了多指标评估的必要性。该框架能够区分内源性心肌功能障碍和外源性负荷效应,促进室性早搏诱发心肌病患者特异性风险分层。
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引用次数: 0
Computationally efficient modeling of cervical spinal cord injury without vertebral fracture 无椎体骨折颈脊髓损伤的高效计算模型
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-29 DOI: 10.1007/s10237-026-02125-y
Numaira Obaid, Brian K. Kwon, Carolyn J. Sparrey

Finite element (FE) models are used to study spinal cord biomechanics and injury mechanisms. However, most existing models incorporate full vertebral geometry, substantially increasing computational cost and limiting the ability to perform large-scale parametric studies or apply modeling in clinically feasible timelines. In central cord syndrome, movement of the vertebrae is important while vertebral deformation contributes minimally to cord biomechanics. This study tested whether modeling the spinal canal geometry alone (versus full vertebral geometry) is sufficient to capture spinal cord stresses and strains under extension loading, offering a computationally efficient alternative to high-fidelity subject-specific models. Two FE models were developed: (1) a high-fidelity model including vertebrae, discs, ligaments, and neurological tissues, and (2) a computationally efficient (CE) model retaining only the spinal canal, with boundary conditions applied to represent the kinematics of each vertebra. Tissue-level stress and strain distributions, and computational performance were evaluated under extension. The CE model reproduced whole-cord and tissue-level stresses within 15% of the high-fidelity model, preserving stress/strain spatial distributions. Agreement between the two models was noted in their predicted tissue-level average and peak von Mises stress or minimum principal strain values. Computational time decreased approximately four-fold (2 vs. 8 days), while maintaining biomechanical fidelity. This demonstrates that vertebral bodies are not required to recover accurate spinal cord biomechanics in non-fracture cervical extension scenarios. These findings are based on this modeling framework, for the tested healthy geometry and extension scenario, with prescribed vertebral kinematics. This computational efficiency enables scalable parametric or population-level analyses of how individual differences in canal shape, cord morphology, or degeneration affect injury risk.

有限元模型用于研究脊髓生物力学和损伤机制。然而,大多数现有模型都包含完整的椎体几何形状,这大大增加了计算成本,限制了进行大规模参数化研究或在临床可行时间内应用建模的能力。在中枢脊髓综合征中,椎体的运动是重要的,而椎体变形对脊髓生物力学的影响最小。本研究测试了单独建立椎管几何模型(相对于完整的椎体几何模型)是否足以捕捉拉伸载荷下的脊髓应力和应变,为高保真的特定对象模型提供了一种计算效率高的替代方案。建立了两个有限元模型:(1)包括椎骨、椎间盘、韧带和神经组织的高保真模型;(2)仅保留椎管的计算效率(CE)模型,并应用边界条件来表示每个椎骨的运动学。在扩展条件下,对组织水平的应力应变分布和计算性能进行了评价。CE模型在高保真模型的15%范围内再现了整个脊髓和组织水平的应力,保留了应力/应变的空间分布。两种模型在预测组织水平的平均和峰值冯米塞斯应力或最小主应变值方面一致。计算时间减少了大约四倍(2天vs. 8天),同时保持了生物力学的保真度。这表明,在非骨折颈椎伸展情况下,不需要椎体来恢复准确的脊髓生物力学。这些发现是基于该模型框架,测试了健康的几何形状和伸展场景,并规定了椎体运动学。这种计算效率可以实现可扩展的参数化或种群水平的分析,以了解椎管形状、脊髓形态或退行性变的个体差异如何影响损伤风险。
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引用次数: 0
A multi-scale mechanobiological framework for vibration-induced intimal hyperplasia 振动诱导内膜增生的多尺度力学生物学框架。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-12 DOI: 10.1007/s10237-026-02105-2
Maha Reda, Jérôme Chambert, Emmanuelle Jacquet, Nicla Settembre, Christophe Noël

Intimal hyperplasia is a pathological mechanism underlying arterial growth and remodeling in numerous vascular diseases, in which key biological processes are regulated by mechanical fields such as wall shear stress (WSS) and circumferential stress within the artery walls. In the present study, we hypothesize that chronic exposure to hand-arm vibrations (HAV) contributes to the development of intimal hyperplasia in the digital artery through vibration-induced reductions in WSS. Accordingly, a mechanobiological framework coupling an agent-based model (ABM) with a finite element model (FEM) was developed. The ABM captures the hemodynamics-driven and mechanoregulated cellular and molecular mechanisms involved in this pathology, including mediator secretion by endothelial and smooth muscle cells (SMCs), SMCs proliferation and migration, and extracellular matrix (ECM) synthesis and degradation. WSS values, reflecting the presence or absence of vibration during long-term working conditions, were used as model inputs. Circumferential stresses were computed using the FEM, which describes the mechanical behavior of the digital artery. The model parameters were identified from our experimental findings and literature data. Over a 5 year period of vibration exposure (4 h/day), our simulations revealed that the constitutive law of the arterial walls had a negligible impact on the progression of stenosis. Moreover, reductions in circumferential stress associated with arterial wall thickening led to ECM degradation in the media layer due to an increase in the production of matrix metalloproteinase-2. This mechanobiological framework provides a computational tool for estimating vibration-induced stenosis rates and can be extended to study intimal hyperplasia in diverse biomechanical and pathological contexts.

内膜增生是许多血管疾病中动脉生长和重塑的病理机制,其中关键的生物学过程是由动脉壁剪切应力(wall shear stress, WSS)和动脉壁周向应力等力学场调控的。在本研究中,我们假设长期暴露于手臂振动(HAV)通过振动诱导的WSS减少有助于指动脉内膜增生的发展。在此基础上,建立了基于主体模型(ABM)和有限元模型(FEM)耦合的机械生物学框架。ABM捕获了与该病理相关的血流动力学驱动和机械调节的细胞和分子机制,包括内皮细胞和平滑肌细胞(SMCs)的介质分泌,SMCs的增殖和迁移,以及细胞外基质(ECM)的合成和降解。WSS值作为模型输入,反映了长期工作条件下是否存在振动。采用有限元法计算了指动脉的周向应力,描述了指动脉的力学行为。模型参数由实验结果和文献资料确定。在5年的振动暴露期(4小时/天),我们的模拟显示,动脉壁的本构律对狭窄进展的影响可以忽略不计。此外,由于基质金属蛋白酶-2的产生增加,与动脉壁增厚相关的周向应力的减少导致基质金属蛋白酶-2在介质层降解。这种机械生物学框架为估计振动引起的狭窄率提供了一个计算工具,并且可以扩展到研究不同生物力学和病理背景下的内膜增生。
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引用次数: 0
Quantifying the impact of coronary-related experimental simplifications on flow features in native and neo-sinus following transcatheter aortic valve implantation 量化经导管主动脉瓣植入术后冠状动脉相关实验简化对原生和新窦血流特征的影响。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-07 DOI: 10.1007/s10237-026-02111-4
Yuhao Wei, Fei Chen, Tianai Wang, Sebastian V. Jansen, Tinghui Zheng, Mao Chen, Peng Wu

Existing in vitro and numerical studies lack consensus regarding whether and how coronary arteries should be incorporated. This study aims to systematically investigate the effects of coronary artery outlets on the hemodynamic environment within the native sinus and neo-sinus after transcatheter aortic valve implantation (TAVI). Three idealized aortic root models (without coronaries, single coronary, and bilateral coronaries) were fabricated. A VENUS self-expanding valve was implanted at five depths (0 mm, ± 5 mm and ± 10 mm). A pulsatile in vitro flow platform combined with particle image velocimetry (PIV) was applied to quantify velocity fields, vorticity, and particle washout. Correlations between implantation depth and hemodynamic parameters were further assessed. In control models, mean native sinus velocity without coronaries was 0.58 ± 0.49 cm/s and decreased further after TAVI. Introducing a single coronary increased mean velocity to 1.34 ± 0.95 cm/s and generated high-velocity jets (> 10 cm/s) near the ostium; bilateral coronaries produced comparable effects. Vorticity decreased in all post-TAVI configurations. Particle washout analysis demonstrated pronounced stasis without coronary flow but markedly improved clearance when coronary inflow was present. With coronary flow, particle washout was markedly enhanced compared with the no-coronary condition, but did not vary monotonically with implantation depth; instead, it appeared to be governed by the combined effects of local flow environment. Under the present conditions, coronary flow substantially increased velocity magnitude, vorticity, and particle washout within the corresponding native sinus and neo-sinus after self-expanding valve implantation. Neglecting coronary outlets may lead to a substantial underestimation of sinus flow velocity and washout. However, when evaluating the hemodynamics of an individual coronary sinus, inclusion of its corresponding coronary artery alone is likely to be sufficient to capture the essential flow characteristics.

现有的体外和数值研究对于冠状动脉是否以及如何合并缺乏共识。本研究旨在系统探讨经导管主动脉瓣植入术(TAVI)后冠状动脉出口对原窦和新窦血流动力学环境的影响。制作了3个理想的主动脉根模型(无冠状动脉、单冠状动脉和双侧冠状动脉)。在5个深度(0 mm、±5 mm和±10 mm)植入VENUS自膨胀阀。结合颗粒图像测速(PIV)的脉动体外流动平台用于量化速度场、涡度和颗粒冲洗。进一步评估植入深度与血流动力学参数的相关性。在对照模型中,无冠状动脉的平均原生窦速度为0.58±0.49 cm/s, TAVI后进一步降低。引入单冠状动脉使平均流速增加到1.34±0.95 cm/s,并在口附近产生高速射流(bbb10 cm/s);双侧冠状动脉也产生了类似的效果。在tavi后的所有构型中,涡度都有所下降。颗粒冲刷分析显示无冠状动脉血流明显停滞,但当冠状动脉血流存在时明显改善清除率。冠状动脉血流时,颗粒冲洗较无冠状动脉明显增强,但不随植入深度单调变化;相反,它似乎是由局部流动环境的综合影响所控制的。在本条件下,自扩张瓣膜植入后,冠状动脉血流显著增加了相应原生窦和新窦内的流速大小、涡度和颗粒冲洗。忽略冠状动脉出口可能导致严重低估窦血流速度和冲洗。然而,当评估单个冠状窦的血流动力学时,仅包括其相应的冠状动脉可能足以捕获基本的血流特征。
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引用次数: 0
Development of a pelvic musculoskeletal model based on statistical shape modelling for estimating sacroiliac and pubic joint reaction forces in females 基于统计形状模型的骨盆肌肉骨骼模型的发展,用于估计女性骶髂关节和耻骨关节的反作用力。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-05 DOI: 10.1007/s10237-026-02110-5
Jie Chen, Patria A. Hume, Hannah E. Wyatt, Julie Choisne

The sacroiliac joints (SIJs) and pubic symphysis (PS) form a ‘pelvic ring’ that plays a critical role in load transfer between the spine and lower extremities. Direct in vivo measurement of pelvic joint loading remains challenging, and existing musculoskeletal models often simplify or exclude pubic joint contributions. This study developed a female pelvis musculoskeletal model incorporating both SIJs and PS, integrated with a personalisation framework including: (1) a pelvis shape-scaling workflow based on a female statistical shape model; and (2) an inertia estimation workflow using 3D full-body scans. Kinematic and kinetic data were collected from eight healthy female participants during bilateral standing, single-leg standing and walking. Compressive and superior–inferior shear loads at the SIJs and PS were estimated using inverse dynamics and static optimisation. The model produced physiologically plausible joint loads consistent with previous studies. During bilateral standing, pubic joint loads were minimal, and SIJ loads showed minor asymmetries. Single-leg standing induced SIJ tensile (1.9 N/kg), pubic compression (2.2 N/kg), and superior–inferior shearing at the support-side SIJ (4 N/kg). During walking, pubic joint loads were closely related to SIJ loading patterns and appeared to facilitate load transmission from the stance-side SIJ to the swing-side SIJ. This pelvis musculoskeletal model provides a feasible tool for investigating SIJ and PS reaction forces in females, enabling a more physiologically realistic assessment of pelvic joint biomechanics than previously available models. The proposed framework is adaptable to other populations and supports future research on pelvic pain mechanisms, pregnancy-related adaptations, and sex-specific musculoskeletal disorders.

骶髂关节(sij)和耻骨联合(PS)形成一个“骨盆环”,在脊柱和下肢之间的负荷转移中起着关键作用。骨盆关节负荷的直接体内测量仍然具有挑战性,现有的肌肉骨骼模型经常简化或排除耻骨关节的贡献。本研究开发了一个包含sij和PS的女性骨盆肌肉骨骼模型,并与个性化框架集成,包括:(1)基于女性统计形状模型的骨盆形状缩放工作流程;(2)使用3D全身扫描的惯性估计工作流。8名健康女性受试者在双侧站立、单腿站立和行走时的运动学和动力学数据。在sij和PS的压缩和优剪载荷估计使用逆动态和静态优化。该模型产生的生理上合理的关节载荷与先前的研究一致。在双侧站立时,耻骨关节负荷最小,SIJ负荷表现出轻微的不对称。单腿站立引起SIJ的拉伸(1.9 N/kg)、耻骨压缩(2.2 N/kg)和SIJ支撑侧的上下剪切(4 N/kg)。在行走过程中,耻骨关节载荷与SIJ载荷模式密切相关,并且似乎有助于载荷从站立侧SIJ传递到摆动侧SIJ。该骨盆肌肉骨骼模型为研究女性SIJ和PS反作用力提供了一个可行的工具,使骨盆关节生物力学的生理评估比以前可用的模型更现实。提出的框架适用于其他人群,并支持未来对骨盆疼痛机制、妊娠相关适应和性别特异性肌肉骨骼疾病的研究。
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引用次数: 0
A modelling study of right ventricular growth with valvular regurgitation 右心室生长伴瓣膜反流的模型研究。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-08-05 DOI: 10.1007/s10237-026-02113-2
Debao Guan, Hao Gao

Right ventricular (RV) dysfunction due to pulmonary and tricuspid valve regurgitation remains understudied despite its critical role in adverse cardiac outcomes. We present a biventricular computational model that integrates regurgitant valves in the RV with a kinematic growth framework. Updated reference configurations are used to allow saturated growth in each growth cycle. Acute regurgitation scenarios and long-term adaptation are modelled to quantify structural and functional adaptations in the RV and their further impacts on left ventricular (LV) performance. Results demonstrate that persistent regurgitation drives dominant eccentric growth in the RV, leading to severe cavity dilation, septal displacement, and impaired LV filling and systolic function. Simulations incorporating both eccentric and concentric growth reveal a limited compensatory role for concentric thickening, even under severe volume overload. The simulated haemodynamic and functional responses are broadly consistent with clinical observations and capture clinically plausible trajectories of RV growth under sustained regurgitation. These findings suggest that biomechanical modelling of myocardial adaptation could provide mechanistic insights into RV adaptation under severe valve regurgitation, and may support clinical decision-making regarding RV failure once fully validated. Future work should focus on validating myocardial growth laws using experimental and clinical data, and extending the framework to patient-specific scenarios for predictive modelling of RV dysfunction due to valve regurgitation.

肺动脉和三尖瓣反流引起的右心室功能障碍尽管在不良心脏结局中起关键作用,但仍未得到充分研究。我们提出了一个双心室计算模型,该模型集成了RV中的反流阀和运动学生长框架。更新的参考配置用于允许每个生长周期的饱和生长。急性反流情景和长期适应模拟量化左室结构和功能适应及其对左室(LV)性能的进一步影响。结果表明,持续的反流驱动左心室主要的偏心生长,导致严重的腔扩张,室间隔移位,左心室充盈和收缩功能受损。结合偏心和同心生长的模拟表明,即使在严重的体积过载下,同心增厚的补偿作用也有限。模拟的血流动力学和功能反应与临床观察大体一致,并捕获了持续反流下RV生长的临床可信轨迹。这些发现表明,心肌适应的生物力学建模可以为严重瓣膜反流下的右心室适应提供机制见解,并可能在完全验证后支持关于右心室衰竭的临床决策。未来的工作应侧重于利用实验和临床数据验证心肌生长规律,并将框架扩展到患者特定场景,以预测由于瓣膜反流导致的右心室功能障碍。
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引用次数: 0
Uncertainty quantification in FEM simulation of human liver: sensitivity analysis, Gradient-Enhanced Kriging, and Monte Carlo simulation 人体肝脏有限元模拟中的不确定性量化:敏感性分析、梯度增强克里格和蒙特卡罗模拟
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-07-30 DOI: 10.1007/s10237-026-02084-4
Navina Waschinsky, Carmen van Meegen, Lena Lambers, Katja Ickstadt, Tim Ricken

The numerical simulation of metabolic processes in the human liver involves challenges related to model accuracy, physiological representation, and data uncertainty. Soft tissue models must capture complex, multiphase, and time-dependent behavior. However, the high computational cost of such analyses often restricts them to simplified deterministic scenarios that neglect biological variability and uncertainty. In this paper, the deterministic foundation of a liver perfusion-function model based on the Finite Element Method (FEM) is extended to incorporate material variability. To this end, a workflow is presented that integrates sensitivity analysis, surrogate modeling based on a Gradient-Enhanced Kriging (GEK) model, and uncertainty quantification. This approach enables the identification of critical parameters, enhances the interpretability of the model, and provides probabilistic outcome assessments for FEM-based simulations. The FEM model represents liver tissue on the lobule scale, incorporating metabolically active cells and vascular systems through a poroelastic multiscale framework with spatially coupled function-perfusion dynamics. It simulates liver-related conditions, such as tumor growth due to metabolic associated fatty liver disease (MAFLD), which affects microperfusion. Aleatoric uncertainties in material parameters are accounted for, and a local sensitivity analysis identifies critical nodes as a foundation for a GEK metamodel. Monte Carlo (MC) methods on the surrogate enable fast propagation of input uncertainty and probabilistic assessment of predicted outcomes. Rather than assuming deterministic accuracy, this approach offers a systematic way to explore and interpret model behavior under uncertainty.

人体肝脏代谢过程的数值模拟涉及到模型准确性、生理表征和数据不确定性等方面的挑战。软组织模型必须捕捉复杂的、多相的和随时间变化的行为。然而,这种分析的高计算成本往往限制了它们的简化确定性情景,忽略了生物的可变性和不确定性。本文扩展了基于有限元法(FEM)的肝灌注功能模型的确定性基础,以考虑材料的可变性。为此,提出了一个集成敏感性分析、基于梯度增强Kriging (GEK)模型的代理建模和不确定性量化的工作流程。这种方法能够识别关键参数,增强模型的可解释性,并为基于fem的模拟提供概率结果评估。FEM模型在小叶尺度上代表肝脏组织,通过具有空间耦合功能-灌注动力学的多孔弹性多尺度框架将代谢活性细胞和血管系统纳入其中。它模拟肝脏相关疾病,如代谢相关脂肪性肝病(MAFLD)引起的肿瘤生长,影响微灌注。材料参数的任意不确定性被考虑在内,局部灵敏度分析确定了关键节点,作为GEK元模型的基础。蒙特卡罗(MC)方法可以实现输入不确定性的快速传播和预测结果的概率评估。这种方法提供了一种系统的方法来探索和解释不确定性下的模型行为,而不是假设确定性的准确性。
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引用次数: 0
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Biomechanics and Modeling in Mechanobiology
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