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A novel integrative multi-scale framework of inflammation and mechanical loading in knee osteoarthritis 膝关节骨关节炎炎症和机械负荷的一种新的综合多尺度框架。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02072-8
Juntong Lai, Damien Lacroix

Obesity is a well-known prominent risk factor for knee osteoarthritis (OA). The onset and development of knee OA are affected by multifactorial interplays, involving the degeneration of articular cartilage. Emerging evidence shows the negative effects of obesity on cartilage degeneration across multi-scales. Specifically, obesity can stimulate inflammation and alter the biomechanical responses of the joint. However, the pathology of obesity-associated knee OA is still poorly understood. The aim of this study was to develop a multi-scale modelling framework to simulate and evaluate the mechanobiological roles of obesity in the degenerative process of cartilage. This framework integrated the inflammatory and biomechanical effects of obesity on cartilage degeneration in knee OA. A validated finite element model of a subject-specific knee joint was coupled with a mathematical model of adipokine-mediated OA inflammation. In the algorithm, excess stress resulted in mechanical damage that activated obesity-related inflammatory responses. The degeneration of cartilage was driven by both mechanical damage and body mass index (BMI). Parameter sensitivity analysis showed a good adaptivity of this framework to simulate cartilage degeneration. In addition, BMI and the stress threshold were sensitive to the degenerative process. Results indicate that a higher BMI level could not only increase the degeneration level but also lead to a larger degenerative volume of cartilage. Due to the elevated baseline of inflammation in the obese joint, the relative contributions of inflammation and mechanical damage might vary as cartilage degeneration progressed. This computational framework combines for the first time obesity-associated inflammation and mechanical loading in knee OA. It could be extended by specifying different degenerative pathways in cartilage degeneration. With further calibration, the framework has the potential to empower the identification of different phenotypes and endotypes of OA.

肥胖是众所周知的膝骨关节炎(OA)的重要危险因素。膝关节炎的发生和发展受到多因素相互作用的影响,包括关节软骨的退变。越来越多的证据表明,肥胖对软骨变性的负面影响跨越多个尺度。具体来说,肥胖会刺激炎症并改变关节的生物力学反应。然而,肥胖相关的膝关节OA的病理仍然知之甚少。本研究的目的是建立一个多尺度建模框架来模拟和评估肥胖在软骨退行性过程中的力学生物学作用。该框架整合了肥胖对膝关节OA软骨退变的炎症和生物力学影响。验证了受试者特定膝关节的有限元模型与脂肪因子介导的OA炎症的数学模型相结合。在该算法中,过度的压力会导致机械损伤,从而激活与肥胖相关的炎症反应。软骨退行性变是由机械损伤和身体质量指数(BMI)共同驱动的。参数敏感性分析表明,该框架对模拟软骨退变具有良好的适应性。此外,BMI和应力阈值对退变过程较为敏感。结果表明,较高的BMI水平不仅会增加退变程度,而且会导致软骨退变体积增大。由于肥胖关节的炎症基线升高,炎症和机械损伤的相对贡献可能随着软骨退变的进展而变化。该计算框架首次结合了膝关节OA中与肥胖相关的炎症和机械负荷。它可以通过指定软骨变性的不同退行性途径来扩展。通过进一步校准,该框架有可能增强对OA不同表型和内型的识别。
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引用次数: 0
A data-driven computational methodology for assessing ventricular ablation procedures 评估心室消融程序的数据驱动计算方法。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02073-7
Filippo Caruso Lombardi, Anna Crispino, Bich Lien Nguyen, Nicola Galea, Alessandro Loppini, Simonetta Filippi, Francesco Viola, Alessio Gizzi

Ventricular tachycardia following myocardial infarction is often sustained by complex reentrant circuits that are challenging to characterize and treat using conventional electroanatomical mapping. Computational modeling provides a powerful complementary approach to understanding conduction pathway dynamics more effectively and supporting ablation strategies. Here, we present a reproducible and data-driven clinically guided computational framework for the retrospective analysis of post-infarction ventricular tachycardia and ablation procedures. The method integrates patient-specific electroanatomical mapping data—including local activation times, voltage maps, and electrograms—to build a personalized model that captures both structural and functional remodeling via a viability-based scalar field. A novel calibration procedure is introduced to locally estimate tissue conductivity, enabling accurate reproduction of observed activation patterns. The model is used to simulate arrhythmia inducibility and sustainability, and to retrospectively evaluate the impact of clinical radiofrequency ablation, accounting for lesion size and transmurality. In silico exploration of alternative ablation strategies is also performed to minimize lesion volume while maintaining arrhythmia suppression. The entire workflow is designed for rapid execution using a GPU-accelerated monodomain solver and is fully compatible with existing clinical practices, offering a practical tool for substrate interpretation and patient-specific ablation planning.

心肌梗死后的室性心动过速通常由复杂的可重入回路维持,这对传统电解剖制图的表征和治疗具有挑战性。计算建模为更有效地理解传导通路动力学和支持消融策略提供了强大的补充方法。在这里,我们提出了一个可重复的、数据驱动的临床指导计算框架,用于回顾性分析梗死后室性心动过速和消融手术。该方法集成了患者特定的电解剖制图数据,包括局部激活时间、电压图和电图,以建立一个个性化的模型,通过基于可行性的标量场捕获结构和功能重构。引入了一种新的校准程序来局部估计组织电导率,从而能够准确地再现观察到的激活模式。该模型用于模拟心律失常的诱发性和可持续性,并回顾性评估临床射频消融的影响,考虑病变大小和跨壁性。在保持心律失常抑制的同时,还进行了其他消融策略的计算机探索,以尽量减少病变体积。整个工作流程设计为使用gpu加速的单域求解器快速执行,并与现有的临床实践完全兼容,为基底解释和患者特定消融计划提供实用工具。
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引用次数: 0
Multi-scale modelling of mouse tibia loading reveals the critical role of muscle insertion surfaces 小鼠胫骨负荷的多尺度建模揭示了肌肉插入表面的关键作用。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02078-2
Thomas Valerio, Saira Mary Farage-O’Reilly, James P. Charles, Enrico Dall’Ara

The definition of the muscle insertion surface (MIS) is often simplified in micro-finite element (micro-FE) models despite its potential impact on the predictions of mechanical properties that are relevant to bone adaptation. This study investigated the effect of MIS size on local strain energy density (SED) in the mouse tibia. Micro-FE models of six mouse tibiae were developed from micro-CT images, and loading conditions were derived from musculoskeletal simulations of trotting gait. For the seven muscles with the highest contributions to tibial loading, three MIS configurations were tested: full anatomical surface, 50% reduced surface, and a single-node application. A total of 198 micro-FE models were run, both for individual muscle applications and multi-muscle configurations at key instants of the stance phase. SED values were compared across MIS conditions using the mean absolute difference, normalised by the median, mean, or 95th percentile of the SED. Significant differences in SED were observed between MIS configurations, with the largest effects near the MIS and boundary conditions. The effect of MIS modification on SED values was heterogeneous across the different muscles, highlighting the importance of anatomical features. Even with multiple muscle loading, SED differences exceeded 20% in most comparisons. These results demonstrate that simplifications of the MIS, especially to single-node applications, can considerably alter local SED predictions and are likely to compromise the accuracy of bone adaptation models. Accurate representation of the MIS is therefore essential for reliable mechanoregulation analysis and should be prioritised in multiscale models of skeletal loading.

肌插入面(MIS)的定义在微有限元(micro-FE)模型中经常被简化,尽管它可能影响与骨适应相关的力学特性的预测。本研究探讨了MIS尺寸对小鼠胫骨局部应变能密度(SED)的影响。根据微ct图像建立了6只小鼠胫骨的微观有限元模型,并通过小跑步态的肌肉骨骼模拟获得了加载条件。对于对胫骨负荷贡献最大的7块肌肉,测试了三种MIS配置:完全解剖表面、50%减少表面和单节点应用。总共运行了198个微型有限元模型,包括单个肌肉应用和站立阶段关键时刻的多肌肉配置。使用平均绝对差值比较MIS条件下的SED值,并通过SED的中位数、平均值或第95百分位进行归一化。在MIS配置之间观察到SED的显著差异,在MIS和边界条件附近的影响最大。MIS改变对SED值的影响在不同肌肉中是不均匀的,突出了解剖特征的重要性。即使有多个肌肉负荷,在大多数比较中,SED差异也超过20%。这些结果表明,MIS的简化,特别是单节点应用,可以大大改变局部SED预测,并可能损害骨适应模型的准确性。因此,MIS的准确表示对于可靠的机械调节分析至关重要,应该优先考虑骨骼加载的多尺度模型。
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引用次数: 0
Sparse polynomial surrogates for F-actin networks with compliant crosslinkers 具有柔性交联剂的f -肌动蛋白网络的稀疏多项式替代物。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02067-5
Luís Pacheco, Marco Parente, João Ferreira

Filamentous actin (F-actin) constitutes the primary contributor to cell elasticity and structural integrity, forming dynamic, crosslinked networks in the actin cortex. Existing mechanical models for F-actin and crosslinked filament networks successfully describe filament- and network-level behavior, but are often limited in accounting for biological dynamic processes and inherent material uncertainty and variability. We develop a stochastic modeling framework that integrates Polynomial Chaos Expansion (PCE) surrogates using the Finite Element Method (FEM). These surrogates replace filament-scale equations for compliant crosslinked F-actin networks, efficiently enabling uncertainty quantification and sensitivity analysis of key material parameters. The first and second statistical moments from the PCE are incorporated into a micro-sphere network model and implemented via a user-defined material subroutine. Validation was performed against 10 000 Monte Carlo simulations (MCS) for each of four FEM test cases: three simple deformation modes applied to a unit length cubic element, and a thin gel layer under shear mimicking a parallel plate rheology setup. In every test, the surrogate predicts the expected value of relevant stress quantities at maximum deformation with under 1% relative error versus the MCS reference. Moreover, the surrogate captures the network’s variability as measured by second-order moments, demonstrating its ability to deliver rapid, statistically faithful predictions of both mean response and standard deviation in simple element tests and experimentally relevant rheology geometries. The proposed methodology provides a scalable route for incorporating intrinsic material variability into F-actin mechanical modeling, with implications for studying cell motility, division, and pathologies related to cytoskeletal remodeling.

丝状肌动蛋白(F-actin)构成细胞弹性和结构完整性的主要贡献者,在肌动蛋白皮层形成动态的交联网络。现有的f -肌动蛋白和交联纤维网络的力学模型成功地描述了纤维和网络水平的行为,但在考虑生物动态过程和固有的材料不确定性和可变性方面往往受到限制。我们开发了一个随机建模框架,该框架使用有限元法(FEM)集成了多项式混沌展开(PCE)替代物。这些替代品取代了柔顺交联f -肌动蛋白网络的细丝尺度方程,有效地实现了关键材料参数的不确定性量化和敏感性分析。来自PCE的第一和第二统计矩被合并到微球网络模型中,并通过用户定义的材料子程序实现。对四种FEM测试用例中的每一种进行了10000次蒙特卡罗模拟(MCS)验证:三种简单变形模式应用于单位长度的立方单元,以及剪切下模拟平行板流变设置的薄凝胶层。在每次测试中,代理预测最大变形时相关应力量的期望值,相对于MCS参考值的相对误差小于1%。此外,该替代方法通过二阶矩测量捕获了网络的可变性,证明了它能够在简单的单元测试和实验相关的流变几何中提供快速、统计上可靠的平均响应和标准偏差预测。所提出的方法提供了一种可扩展的途径,将固有的材料变异性纳入到f -肌动蛋白力学建模中,这对研究细胞运动、分裂和与细胞骨架重塑相关的病理具有重要意义。
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引用次数: 0
Aging-related lateral ventricular shape changes and corresponding mechanical loading derived from longitudinal image registration 由纵向图像配准得出的与衰老相关的侧室形状变化和相应的机械载荷。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02080-8
Lauren Cunniff, Johannes Weickenmeier,  the Alzheimer’s Disease Neuroimaging Initiative

Lateral ventricular enlargement is one of the most prominent features of the aging brain and is clearly visible on structural magnetic resonance imaging. Both longitudinal and cross-sectional imaging studies have shown that ventricular volume progressively increases with age and expands even faster in neurodegenerative diseases such as Alzheimer’s disease and related dementias. Strikingly, however, we only have a limited understanding of ventricular shape changes and the corresponding mechanical loads that act on the ventricular wall as we age. Therefore, we propose a framework that uses nonlinear registration to quantify subject-specific brain deformations between two longitudinal scans, maps the resulting warp field onto a ventricular surface template mesh, and quantifies mechanical loading measures including displacement magnitude, curvature change, area stretch, and maximum principal wall strain. From the Alzheimer’s Disease Neuroimaging Initiative, we selected a cohort of 50 cognitively normal subjects aged 70–75 years at baseline and with a follow-up scan 4–5 years later. In this group, we observed mostly uniform expansion of the lateral ventricles with an average displacement magnitude of 0.88 ± 0.3 mm across the whole ventricle. At the same time, there are distinct sections of the ventricular wall that experience high mechanical loads with respect to our mechanomarkers. Specifically, maximum mechanical loading consistently localizes along the ventricular edges and atrium while the ventricle’s main body exhibits minimal loading. Based on the cohort included in this study, we did not observe sex-based differences with respect to any mechanomarker, noticed that on average 29.2 ± 9.3% of the ventricular wall experience wall area increase, and that on average only 4.4 ± 2.5% of the ventricular wall experience wall shrinking. Interestingly, regions of elevated mechanical loading showed reliable spatial correspondence with periventricular white matter hyperintensity locations in our subjects for whom FLAIR imaging was available (n = 39). Additionally, mechanomarkers showed increased magnitudes with periventricular white matter hyperintensity burden, with curvature change demonstrating the strongest group separation. These findings suggest that ventricular enlargement is associated with localized mechanical stresses that coincide with vulnerable white matter regions. Taken together, we present strong evidence in support of the hypothesis that the mechanical loading associated with age-related ventricular enlargement is intricately linked to periventricular white matter degeneration and corresponding cognitive decline.

侧脑室增大是脑老化最显著的特征之一,在结构磁共振成像上清晰可见。纵向和横断面成像研究都表明,心室容量随着年龄的增长而逐渐增加,在神经退行性疾病(如阿尔茨海默病和相关痴呆)中扩大得更快。然而,引人注目的是,随着年龄的增长,我们对心室形状的变化和作用于心室壁的相应机械负荷的了解有限。因此,我们提出了一个框架,该框架使用非线性配准来量化两次纵向扫描之间受试者特定的大脑变形,将产生的翘曲场映射到心室表面模板网格上,并量化机械载荷措施,包括位移幅度、曲率变化、面积拉伸和最大主壁应变。从阿尔茨海默病神经影像学倡议中,我们选择了50名认知正常的受试者,在基线时年龄在70-75岁,并在4-5年后进行随访扫描。在本组中,我们观察到侧脑室几乎均匀扩张,整个脑室的平均位移幅度为0.88±0.3 mm。与此同时,相对于我们的机械标志物,心室壁的不同部分经历了高机械负荷。具体来说,最大的机械负荷始终集中在心室边缘和心房,而心室主体的负荷最小。在本研究纳入的队列中,我们没有观察到任何机制标志物的性别差异,注意到平均29.2±9.3%的心室壁面积增加,平均4.4±2.5%的心室壁面积缩小。有趣的是,在我们的研究对象中,机械负荷升高的区域与心室周围白质高强度的位置显示出可靠的空间对应关系(n = 39)。此外,机械标志物显示心室周围白质高负荷增加,曲率变化显示最强的组分离。这些发现表明,心室增大与易损白质区域的局部机械应力有关。综上所述,我们提供了强有力的证据来支持这一假设,即与年龄相关的心室增大相关的机械负荷与心室周围白质变性和相应的认知能力下降有着复杂的联系。
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引用次数: 0
Human airway material characterization via inverse finite element analysis and neural network surrogate 基于逆向有限元分析和神经网络代理的人体气道材料表征。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02081-7
Arif Badrou, Crystal A. Mariano, Talyah M. Nelson, Mona Eskandari

Central airway obstruction can be caused by lung cancer and may severely diminish respiratory function to necessitate airway stenting. However, the mechanical properties of airway tissues remain poorly characterized, leading to a mismatch between stent mechanical behavior and airway compliance, which can reduce stent biocompatibility and clinical effectiveness. Such mismatches can result in abnormal stress transfer at the stent–airway interface and cause stent migration, local tissue irritation or inflammation, and impaired long-term performance. Predictive models are often used in treatment planning, however, without a comprehensive understanding of airway properties, advancements in modeling remain highly limited. In this study, we develop an experimental to numerical pipeline for identifying the mechanical properties of the human airway branching network, specifically the trachea, right bronchus, and left bronchus tissues. Biaxial planar tensile tests are used to capture the tissues’ unique, anisotropic mechanical response in order to inform the computational routine—where inverse finite element analysis is employed to calibrate a Holzapfel–Gasser–Ogden constitutive model. To overcome the computational burden of traditional IFEA, a neural network (NN) surrogate model is trained to enable rapid material identification. We identify parameter values for the various tissues, such as C10 = 0.53 ± 0.25 kPa, k1 = 0.17 ± 0.30 kPa, k2 = 6.1 ± 2.0, and κ = 0.08 ± 0.01 for the trachea. Notably, this NN-approach reduced computational time from weeks to mere minutes, enabling fast material characterization. Thus, we also provide an efficient modeling framework and user-friendly MATLAB application for future studies. Ultimately, the findings here critically contribute to our current understanding of airway biomechanics and provide essential data for accurate modeling and optimization of airway stenting strategies.

中央气道阻塞可由肺癌引起,并可能严重削弱呼吸功能,需要气道支架置入。然而,气道组织的力学特性仍然不太清楚,导致支架力学行为与气道顺应性之间的不匹配,从而降低了支架的生物相容性和临床有效性。这种不匹配会导致支架-气道界面的异常应力传递,并导致支架迁移、局部组织刺激或炎症,以及长期性能受损。预测模型经常用于治疗计划,然而,如果没有对气道特性的全面了解,建模的进展仍然非常有限。在这项研究中,我们开发了一个实验到数值管道来识别人类气道分支网络的力学特性,特别是气管,右支气管和左支气管组织。双轴平面拉伸试验用于捕获组织独特的各向异性力学响应,以便为计算程序提供信息-其中采用逆有限元分析来校准holzapfell - gasser - ogden本构模型。为了克服传统IFEA的计算负担,训练了一个神经网络(NN)代理模型来实现快速的材料识别。我们确定了各种组织的参数值,如气管的C10 = 0.53±0.25 kPa, k1 = 0.17±0.30 kPa, k2 = 6.1±2.0,κ = 0.08±0.01。值得注意的是,这种神经网络方法将计算时间从几周缩短到几分钟,从而实现了快速的材料表征。因此,我们也为未来的研究提供了一个高效的建模框架和用户友好的MATLAB应用程序。最终,这些发现有助于我们目前对气道生物力学的理解,并为气道支架置入策略的准确建模和优化提供必要的数据。
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引用次数: 0
A multiphysics computational model of focused ultrasound-enhanced drug delivery using temperature-sensitive liposomes 使用温度敏感脂质体聚焦超声增强药物递送的多物理场计算模型。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02075-5
Marina Koutsi, Fotios Mpekris, Triantafyllos Stylianopoulos

The efficacy of conventional chemotherapy in solid tumors remains limited due to tumor microenvironment barriers that impede efficient drug transport and compromise therapeutic outcomes. Thermosensitive liposomes (TSLs) combined with focused ultrasound-induced hyperthermia offer a promising strategy for localized, temperature-triggered drug release. Despite experimental progress, a quantitative understanding of the coupled physical and biological mechanisms underlying this therapy is yet to be fully elucidated. Here, a three-dimensional multiphysics computational model was developed to investigate the interplay between focused ultrasound-induced hyperthermia and temperature-sensitive liposome-mediated drug delivery in solid tumors, integrating acoustic propagation, tissue heating and temperature-dependent drug release. Model predictions were validated against published experimental data, demonstrating good agreement with tumor growth and intratumoral drug concentration data. Sensitivity analysis showed that focused ultrasound parameters and liposome properties strongly influence treatment efficacy. Prolonged focused ultrasound exposure (20–30 min) produced greater tumor reduction than frequency variations (2–5 MHz). Treatment timing was also critical: For highly proliferating tumors, early therapy yielded markedly improved outcomes. Faster drug release kinetics enhanced intracellular drug accumulation and tumor regression. Intermediate-sized TSLs (~ 50 nm in radius) achieved optimal efficacy under moderate vascular permeability conditions, while larger liposomes (~ 65 nm in radius) were more effective in tumors with highly permeable vessels due to increased extravasation. This work provides a computational framework with predictive potential for optimizing the combined focused ultrasound-thermosensitive liposomes therapy and assisting to the design of thermally triggered nanocarriers.

传统化疗在实体瘤中的疗效仍然有限,因为肿瘤微环境障碍阻碍了药物的有效转运并影响了治疗结果。热敏脂质体(TSLs)与聚焦超声诱导的热疗相结合,为局部温度触发的药物释放提供了一种有前途的策略。尽管实验取得了进展,但对这种疗法背后的物理和生物机制的定量理解尚未得到充分阐明。本研究建立了一个三维多物理场计算模型,综合声学传播、组织加热和温度依赖性药物释放,研究聚焦超声诱导的热疗与实体肿瘤中温度敏感脂质体介导的药物传递之间的相互作用。模型预测与已发表的实验数据进行了验证,显示出与肿瘤生长和肿瘤内药物浓度数据的良好一致性。敏感性分析表明,聚焦超声参数和脂质体性质对治疗效果影响较大。长时间聚焦超声暴露(20-30分钟)比频率变化(2-5 MHz)产生更大的肿瘤缩小。治疗时机也很关键:对于高度增殖的肿瘤,早期治疗可显著改善预后。更快的药物释放动力学增强了细胞内药物积累和肿瘤消退。中等大小的TSLs(半径~ 50 nm)在中等血管通透性条件下达到最佳效果,而较大的脂质体(半径~ 65 nm)由于外渗增加,在具有高通透性血管的肿瘤中更有效。这项工作为优化聚焦超声-热敏脂质体联合治疗提供了一个具有预测潜力的计算框架,并有助于热触发纳米载体的设计。
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引用次数: 0
Influence of substrate thickness on cell-perceived stiffness: a computational study 衬底厚度对细胞感知刚度的影响:一个计算研究。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-03 DOI: 10.1007/s10237-026-02077-3
Raphael Jakob, Alexander E. Ehret, Edoardo Mazza

Cell culturing on soft substrates has become a widely applied method towards mimicking the compliant mechanical environment of cells in vivo, and substrate stiffness was shown to influence cell behavior. The cell-perceived stiffness, however, does not only depend on the modulus of the substrate material, but also on its thickness. In the present work, we propose an in silico approach to quantify the effect of substrate thickness on cell-perceived substrate stiffness. We coupled a discrete network representation of the cellular cytoskeleton including subcellular cell-substrate connections, i.e. focal adhesions (FA), with a continuum model of the substrate, and simulated the contraction of individual cells and cell patches. The results indicate that for substrates of heights larger than a multiple of the FA size (i.e. in the range of 5–10 (mu)m) the cell-perceived displacements and forces depend only on the substrate material, i.e. the latter is perceived as a semi-infinite continuum. The FA displacements depend more strongly on substrate thickness than FA forces. Based on the present model with subcellular resolution, the length scale of FAs emerges as the governing length scale for depth sensing, which is independent of the dimensions of the cells or cell patches.

在软基质上培养细胞已成为一种广泛应用的模拟细胞体内柔顺机械环境的方法,基质刚度已被证明会影响细胞的行为。然而,细胞感知的刚度不仅取决于基底材料的模量,还取决于其厚度。在目前的工作中,我们提出了一种硅方法来量化衬底厚度对细胞感知衬底刚度的影响。我们将细胞骨架的离散网络表示(包括亚细胞-基质连接,即局灶黏附(FA))与基质的连续模型耦合在一起,并模拟了单个细胞和细胞斑块的收缩。结果表明,对于高度大于FA尺寸的倍数(即在5-10 μ m范围内)的衬底,细胞感知的位移和力仅取决于衬底材料,即后者被感知为半无限连续体。与FA力相比,FA位移对衬底厚度的依赖性更强。基于目前的亚细胞分辨率模型,FAs的长度尺度成为深度传感的控制长度尺度,它与细胞或细胞斑块的尺寸无关。
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引用次数: 0
Bridging the scales for deformable red blood cells simulation: from resolved immersed boundary to unresolved CFD–DEM 缩小可变形红细胞模拟的尺度:从可分辨的浸入边界到不可分辨的CFD-DEM。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-06-02 DOI: 10.1007/s10237-026-02071-9
Carmine Porcaro, Jonas Latt, Mahdi Saeedipour

Several methods exist for cell-level simulation of blood, due to the undeniable interest this topic holds in the biomedical field. Nevertheless, the amount of computational resources required for these resolved methods limits their application to large-scale problems. On the other hand, the single-phase approximation of blood as a non-Newtonian liquid, while attaining fast results, neglects its multiphase nature, hindering its application to all cases where the presence of cells cannot be overlooked. This work aims to bridge the gap between these two approaches by proposing an efficient upscaling strategy. An immersed boundary approach based on the lattice Boltzmann method (LBM), coupled with a nodal projective finite element solver (npFEM) for the dynamics of the red blood cell (RBC) membrane is adopted to construct a dataset for the properties of RBCs embedded in a flow. Different quantities such as RBC deformation and experienced drag and lift forces are then collected and utilized to derive closure models for an unresolved CFD–DEM solver, which allows the simulation of hundreds of thousands of RBCs with substantially lower computational costs. The strategy is tested against previous experimental studies and then used for real-scale applications such as the design of microfluidics devices for plasma separation and the investigation of channels with different degrees of stenosis mimicking cases of vein occlusion. The presented approach potentially allows cell-level blood flow simulations with up to O((10^6)) RBCs and returns accurate results when tested in scenarios including hundreds of thousands RBCs, as proven by our prior work. The original contribution of this upscaling approach is to bridge the scale separation gap in cell-level blood flow simulations. It holds considerable potential for the simulation of practical bio-physical problems, such as thrombus formation and the investigation of RBCs as biocompatible drug carriers.

由于该主题在生物医学领域具有不可否认的兴趣,存在几种细胞水平模拟血液的方法。然而,这些解决方法所需的计算资源数量限制了它们在大规模问题上的应用。另一方面,血液作为非牛顿液体的单相近似,在获得快速结果的同时,忽略了它的多相性质,阻碍了它在细胞存在的所有情况下的应用。这项工作旨在通过提出一种有效的升级策略来弥合这两种方法之间的差距。采用基于晶格玻尔兹曼方法(LBM)的浸入边界法,结合求解红细胞(RBC)膜动力学的节点投影有限元求解器(npFEM),构建了嵌入流中的红细胞特性数据集。然后,收集RBC变形、经历的阻力和升力等不同的量,并利用它们推导出未解析的CFD-DEM求解器的闭合模型,从而可以以更低的计算成本模拟数十万个RBC。该策略将根据先前的实验研究进行测试,然后用于实际规模的应用,例如设计用于等离子体分离的微流体装置,以及模拟静脉闭塞情况的不同狭窄程度通道的研究。正如我们之前的工作所证明的那样,所提出的方法可能允许细胞水平的血流量模拟多达O(10.6)个红细胞,并在包括数十万个红细胞的情况下进行测试时返回准确的结果。这种升级方法的最初贡献是弥合细胞水平血流模拟中的尺度分离差距。它在模拟实际的生物物理问题,如血栓形成和研究红细胞作为生物相容性药物载体方面具有相当大的潜力。
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引用次数: 0
A multiscale computational model of ascending thoracic aortic aneurysm development in Marfan syndrome for in silico trials 马凡氏综合征上升胸主动脉瘤发展的多尺度计算机模型。
IF 2.7 3区 医学 Q2 BIOPHYSICS Pub Date : 2026-05-28 DOI: 10.1007/s10237-026-02057-7
Laurens Jansen, Lauranne Maes, Peter Verbrugghe, Patrick Segers, Patrick Sips, Jay D. Humphrey, Nele Famaey

Marfan syndrome (MFS) is a multisystemic connective tissue disorder caused by pathogenic variants of the gene encoding fibrillin-1, an important glycoprotein of the extracellular matrix. Among its diverse symptoms, the development of an ascending thoracic aortic aneurysm (ATAA) is the most concerning. An ATAA can fail due to dissection or rupture, both associated with substantial morbidity and mortality. Therefore, MFS patients typically receive medical treatment to slow aneurysm progression and reduce the risk of failure. However, the cellular mechanisms underlying ATAA development in MFS remain incompletely understood, reflected in suboptimal medical treatment options. To address this, we introduce a multiscale computational model of ATAA development in MFS mice as a reproducible, time- and cost-efficient complement to traditional animal experiments. The model implements a bidirectional coupling between a tissue-scale framework for aneurysm growth and remodeling and a cell-scale mechanobiological model for the ascending thoracic aorta. We calibrate and validate against experimental data from mouse studies capturing ATAA progression over time at both the tissue and cellular scales, either with or without pharmacological treatments. Following strong qualitative agreement with experimental observations, we employ the model for an in silico pharmacological treatment trial by simulating the inhibition or activation of various cell-scale model nodes. The simulations identify four novel medical treatments predicted to reduce the long-term failure risk of MFS-induced ATAAs, with inhibition of p38 mitogen-activated protein kinase emerging as the most promising option. Although simplified, the proposed model provides a robust, modular framework that can be readily extended or adapted in future research.

马凡氏综合征(MFS)是一种多系统结缔组织疾病,由编码纤维蛋白-1的基因的致病性变异引起,纤维蛋白-1是细胞外基质的重要糖蛋白。在其多种症状中,胸升主动脉瘤(ATAA)的发展是最令人关注的。ATAA可因剥离或破裂而失效,两者均与高发病率和死亡率相关。因此,MFS患者通常接受药物治疗以减缓动脉瘤的进展并降低失败的风险。然而,MFS中ATAA发生的细胞机制仍然不完全清楚,这反映在不理想的医疗选择上。为了解决这个问题,我们引入了MFS小鼠中ATAA发展的多尺度计算模型,作为传统动物实验的可重复性,时间和成本效益的补充。该模型实现了用于动脉瘤生长和重塑的组织尺度框架与用于胸升主动脉的细胞尺度力学生物学模型之间的双向耦合。我们根据小鼠研究的实验数据进行校准和验证,这些数据捕获了ATAA随时间在组织和细胞尺度上的进展,无论是否有药物治疗。在与实验观察结果强烈的定性一致之后,我们通过模拟各种细胞尺度模型节点的抑制或激活,将该模型用于计算机药理治疗试验。模拟确定了四种新的药物治疗方法,预计可以降低mfs诱导的ATAAs的长期失败风险,其中抑制p38丝裂原活化蛋白激酶是最有希望的选择。虽然简化了,但所提出的模型提供了一个健壮的模块化框架,可以很容易地扩展或适应未来的研究。
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Biomechanics and Modeling in Mechanobiology
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