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Constitutive neural networks for main pulmonary arteries: discovering the undiscovered.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-24 DOI: 10.1007/s10237-025-01930-1
Thibault Vervenne, Mathias Peirlinck, Nele Famaey, Ellen Kuhl

Accurate modeling of cardiovascular tissues is crucial for understanding and predicting their behavior in various physiological and pathological conditions. In this study, we specifically focus on the pulmonary artery in the context of the Ross procedure, using neural networks to discover the most suitable material model. The Ross procedure is a complex cardiac surgery where the patient's own pulmonary valve is used to replace the diseased aortic valve. Ensuring the successful long-term outcomes of this intervention requires a detailed understanding of the mechanical properties of pulmonary tissue. Constitutive artificial neural networks offer a novel approach to capture such complex stress-strain relationships. Here, we design and train different constitutive neural networks to characterize the hyperelastic, anisotropic behavior of the main pulmonary artery. Informed by experimental biaxial testing data under various axial-circumferential loading ratios, these networks autonomously discover the inherent material behavior, without the limitations of predefined mathematical models. We regularize the model discovery using cross-sample feature selection and explore its sensitivity to the collagen fiber distribution. Strikingly, we uniformly discover an isotropic exponential first-invariant term and an anisotropic quadratic fifth-invariant term. We show that constitutive models with both these terms can reliably predict arterial responses under diverse loading conditions. Our results provide crucial improvements in experimental data agreement, and enhance our understanding into the biomechanical properties of pulmonary tissue. The model outcomes can be used in a variety of computational frameworks of autograft adaptation, ultimately improving the surgical outcomes after the Ross procedure.

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引用次数: 0
Higher-order thermal modeling and computational analysis of laser ablation in anisotropic cardiac tissue.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-24 DOI: 10.1007/s10237-025-01926-x
Federica Bianconi, Massimiliano Leoni, Argyrios Petras, Emiliano Schena, Luca Gerardo-Giorda, Alessio Gizzi

Laser ablation techniques employ fast hyperthermia mechanisms for diseased-tissue removal, characterized by high selectivity, thus preserving the surrounding healthy tissue. The associated modeling approaches are based on classical Fourier-type laws, though a limited predictivity is observed, particularly at fast time scales. Moreover, limited knowledge is available for cardiac tissue compared to radiofrequency approaches. The present work proposes a comprehensive modeling approach for the computational investigation of the key factors involved in laser-based techniques and assessing the outcomes of induced cellular thermal damage in the cardiac context. The study encompasses a comparative finite element study involving various thermal and cellular damage models incorporating optical-thermal couplings, three-state cellular death dynamics, and a second-order heat transfer formulation generalizing the classical Fourier-based heat equation. A parametric investigation of the thermal profiles shows that higher-order models accurately capture temperature dynamics and lesion formation compared with the classical Fourier-based model. The results highlight the critical role of cardiac anisotropy, influencing the shape and extent of thermal damage, while the three-state cell death model effectively describes the transition from reversible to irreversible damage. These findings demonstrate the reliability of higher-order thermal formulations, laying the basis for future investigations of arrhythmia management via in silico approaches.

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引用次数: 0
Microstructural remodeling under single fiber tensional homeostasis recreates distinctive ex vivo mechanical behavior of arteries.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-23 DOI: 10.1007/s10237-025-01934-x
Ruturaj M Badal, Ryan R Mahutga, Patrick W Alford, Victor H Barocas

The arterial wall is a structurally complex material, exhibiting both nonlinearity and anisotropy in its mechanics, with the compelling consequence that the end plate force in a pressure-stretch experiment can increase or decrease with pressure depending on the axial stretch of the vessel. Furthermore, it has long been observed that the axial stretch at which the ex vivo pressure-force curve is flat is close to the in vivo axial stretch, but the mechanism driving this phenomenon has remained unclear. By employing and modifying a custom plugin that represents tissue components as networks, we computationally tested the hypothesis that tensional homeostasis at the microscopic scale could lead to the macroscopic pressure-invariant axial force effect observed at in vivo axial stretch. Our findings suggest that remodeling events for individual fibers to achieve a target stress can, acting in aggregate, cause the vessel to exhibit a pressure-invariant axial force in the pressure-force experiment without any explicit sensing of the pressure-force behavior during remodeling. Computational isolation of tissue components suggested that remodeling of collagen fibers is a primary driver of this result. Further as long seen experimentally, the pressure-force curve plateau occurred at stretches close to the in vivo remodeling stretch.

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引用次数: 0
Optimisation of romosozumab plus denosumab sequential treatments against postmenopausal osteoporosis. Insights from in silico simulations.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-14 DOI: 10.1007/s10237-024-01900-z
Rocío Ruiz-Lozano, José Luis Calvo-Gallego, Peter Pivonka, Javier Martínez-Reina

Drug treatments against osteoporosis are commonly divided into anti-catabolic and anabolic. Anti-catabolic drugs reduce bone turnover and increase bone mass mainly through mineralization of the existing bone matrix. Anabolic drugs, on the other hand, enhance osteoblastic activity, resulting in new bone formation. Treatments are often limited to a few years due to reported side effects, which increases fracture risk upon discontinuation. Switching to a different drug is a common strategy. However, it is not clear what is the best combination of a dual-drug therapy, the lapse between treatments and other parameters defining the combination. In this study, we conducted in silico trials to assess the efficacy of two drugs: denosumab (anti-catabolic) and romosozumab (anabolic and anti-catabolic). Our simulations indicate that starting treatment with romosozumab leads to greater bone mass gain. This is because anti-catabolic treatments reduce bone rate and, due to osteoblast-osteoclast coupling, the number of osteoblast precursors. Romosozumab increases the proliferation of these precursors, so their population should be maximised for optimal efficacy. Therefore, prior administration of an anti-catabolic drug may be counterproductive to the effectiveness of romosozumab. We also found that a rest period between treatments does not benefit bone mass gain. Furthermore, concurrent administration of romosozumab and denosumab results in greater bone mass gain and might be worth investigating in future clinical trials. Finally, we showed that reduction of fracture risk in patients undergoing sequential treatments is dose dependent and consequently, dosage could be optimised in a patient-specific manner.

骨质疏松症的药物治疗通常分为抗代谢药物和同化药物。抗代谢药物主要通过使现有骨基质矿化来减少骨转换和增加骨量。而同化药物则能增强成骨细胞的活性,从而形成新骨。由于副作用的报道,治疗通常仅限于数年,这增加了停药后的骨折风险。换用其他药物是一种常见的策略。然而,目前还不清楚什么是双重药物疗法的最佳组合、治疗之间的间隔时间以及定义组合的其他参数。在本研究中,我们对地诺单抗(抗分解代谢)和罗莫索单抗(同化和抗分解代谢)这两种药物的疗效进行了硅学试验评估。我们的模拟结果表明,开始使用罗莫索珠单抗治疗会导致骨量增加。这是因为抗代谢治疗会降低骨速率,并且由于成骨细胞-破骨细胞耦合作用,会减少成骨细胞前体的数量。罗莫单抗能增加这些前体的增殖,因此应最大限度地增加它们的数量,以达到最佳疗效。因此,事先服用抗分解代谢药物可能会影响罗莫索单抗的疗效。我们还发现,两次治疗之间的休息期并不利于骨量的增加。此外,同时服用罗莫索单抗和地诺单抗会使骨量增加,这可能值得在未来的临床试验中进行研究。最后,我们还发现,接受连续治疗的患者骨折风险的降低与剂量有关,因此可以根据患者的具体情况优化剂量。
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引用次数: 0
Bridging biomechanics with neuropathological and neuroimaging insights for mTBI understanding through multiscale and multiphysics computational modeling.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-11 DOI: 10.1007/s10237-024-01924-5
Zhibo Du, Jiarui Zhang, Xinghao Wang, Zhuo Zhuang, Zhanli Liu

Mild traumatic brain injury (mTBI) represents a significant public health challenge in modern society. An in-depth analysis of the injury mechanisms, pathological forms, and assessment criteria of mTBI has underscored the pivotal role of craniocerebral models in comprehending and addressing mTBI. Research indicates that although existing finite element craniocerebral models have made strides in simulating the macroscopic biomechanical responses of the brain, they still fall short in accurately depicting the complexity of mTBI. Consequently, this paper emphasizes the necessity of integrating biomechanics, neuropathology, and neuroimaging to develop multiscale and multiphysics craniocerebral models, which are crucial for precisely capturing microscopic injuries, establishing pathological mechanical indicators, and simulating secondary and long-term brain functional impairments. The comprehensive analysis and in-depth discussion presented in this paper offer new perspectives and approaches for understanding, diagnosing, and preventing mTBI, potentially contributing to alleviating the global burden of mTBI.

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引用次数: 0
The relationship between regional mechanical properties and hemodynamic indices of the aortic arch: a preliminary study.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-05 DOI: 10.1007/s10237-025-01927-w
Yawei Zhao, Yifan Cao, Fen Li, Chenjia Zhang, Yike Shi, Hui Song, Lingfeng Chen, Weiyi Chen

This study aimed to investigate the relationship between regional elastic modulus and corresponding hemodynamic indices of healthy aortic arch. Porcine aortic arches (n=18) were obtained from a local abattoir and divided into 24 regions along axial and circumferential directions. Regional elastic modulus was measured by indentation tests, and elastic fiber content was assessed using Elastica van Gieson (EVG) staining. Additionally, a porcine aortic model was reconstructed based on computed tomography angiography (CTA) images, and local hemodynamic indices were calculated by the two-way fluid-structure interaction (FSI) method. The elastic modulus and elastic fiber content were inclined to be lower on the outer curvature of the aortic arch, particularly showing significant differences at the distal end. A negative correlation was found between elastic modulus and time-averaged wall shear stress (TAWSS) ( r s = - 0.762 , p = 0.028 ) at the proximal end of the porcine aortic arch. There was a significant positive correlation between elastic modulus and oscillatory shear index (OSI) ( r s = 0.714 , p = 0.047 ) at the middle of the aortic arch. The regional elastic modulus of healthy porcine aortic arch is associated with local TAWSS and OSI. The hemodynamic environment could be a contributing factor influencing the distribution of the mechanical properties on the arch.

本研究旨在探讨健康主动脉弓区域弹性模量与相应血流动力学指标之间的关系。猪主动脉弓(n=18)取自当地屠宰场,沿轴向和周向分为 24 个区域。通过压痕测试测量区域弹性模量,并使用 Elastica van Gieson(EVG)染色法评估弹性纤维含量。此外,还根据计算机断层扫描血管造影(CTA)图像重建了猪主动脉模型,并通过双向流体-结构相互作用(FSI)方法计算了局部血流动力学指数。结果表明,主动脉弓外侧弯曲处的弹性模量和弹性纤维含量较低,尤其是在远端表现出显著差异。在猪主动脉弓近端,弹性模量与时间平均壁剪切应力(TAWSS)呈负相关(r s = - 0.762 , p = 0.028)。主动脉弓中部的弹性模量和振荡剪切指数(OSI)之间存在明显的正相关(r s = 0.714,p = 0.047)。健康猪主动脉弓的区域弹性模量与局部 TAWSS 和 OSI 相关。血液动力学环境可能是影响主动脉弓机械特性分布的一个因素。
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引用次数: 0
Transient flow-induced deformation of cancer cells in microchannels: a general computational model and experiments.
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-02-02 DOI: 10.1007/s10237-024-01920-9
R Lu, J Li, Z Guo, Z Wang, J J Feng, Y Sui

Recently, the present authors proposed a three-dimensional computational model for the transit of suspended cancer cells through a microchannel (Wang et al. in Biomech Model Mechanobiol 22: 1129-1143, 2023). The cell model takes into account the three major subcellular components: A viscoelastic membrane that represents the lipid bilayer supported by the underlying cell cortex, a viscous cytoplasm, and a nucleus modelled as a smaller microcapsule. The cell deformation and its interaction with the surrounding fluid were solved by an immersed boundary-lattice Boltzmann method. The computational model accurately recovered the transient flow-induced deformation of the human leukaemia HL-60 cells in a constricted channel. However, as a general modelling framework, its applicability to other cell types in different flow geometries remains unknown, due to the lack of quantitative experimental data. In this study, we conduct experiments of the transit of human prostate cancer (PC-3) and leukaemia (K-562) cells, which represent solid and liquid tumour cell lines, respectively, through two distinct microchannel geometries, each dominated by shear and extension flow. We find that the two cell lines have qualitatively similar flow-induced dynamics. Comparisons between experiments and numerical simulations suggest that our model can accurately predict the transient cell deformation in both geometries, and that it can serve as a general modelling framework for the dynamics of suspended cancer cells in microchannels.

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引用次数: 0
Impact of lesion preparation-induced calcified plaque defects in vascular intervention for atherosclerotic disease: in silico assessment. 病变准备诱导的钙化斑块缺陷在动脉粥样硬化疾病血管干预中的影响:计算机评估。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-01-21 DOI: 10.1007/s10237-024-01923-6
Jonas Sogbadji, Karim Kadry, Gianluca Poletti, Francesca Berti, Elazer R Edelman, Farhad R Nezami

Percutaneous coronary interventions in highly calcified atherosclerotic lesions are challenging due to the high mechanical stiffness that significantly restricts stent expansion. Intravascular lithotripsy (IVL) is a novel vessel preparation technique with the potential to improve interventional outcomes by inducing microscopic and macroscopic cracks to enhance stent expansion. However, the exact mechanism of action for IVL is poorly understood, and it remains unclear whether the improvement in-stent expansion is caused by either the macro-cracks allowing the vessel to open or the micro-cracks altering the bulk material properties. In silico models offer a robust means to examine (a) diverse lesion morphologies, (b) a range of lesion modifications to address these deficiencies, and (c) the correlation between calcium morphology alteration and improved stenting outcomes. These models also help identify which lesions would benefit the most from IVL. In this study, we develop an in silico model of stent expansion to study the effect of macro-crack morphology on interventional outcomes in clinically inspired geometries. Larger IVL-induced defects promote more post-stent lumen gain. IVL seems to induce better stenting outcomes for large calcified lesions. IVL defects that split calcified plaque in two parts are the most beneficial for stenting angioplasty, regardless of the calcified plaque size. Location of the IVL defect does not seem to matter with respect to lumen gain. These findings underscore the potential of IVL to enhance lesion compliance and improve clinical outcomes in PCI. The macroscopic defects induced by IVL seem to have a substantial impact on post-stent outcomes.

经皮冠状动脉介入治疗高度钙化的动脉粥样硬化病变具有挑战性,因为高机械刚度显著限制了支架扩张。血管内碎石术(IVL)是一种新型的血管准备技术,通过诱导微观和宏观裂缝来增强支架的扩张,有可能改善介入结果。然而,IVL的确切作用机制尚不清楚,并且尚不清楚支架内膨胀的改善是由允许血管打开的宏观裂纹还是由改变散装材料特性的微裂纹引起的。硅模型提供了一种强大的方法来检查(a)不同的病变形态,(b)一系列病变修饰以解决这些缺陷,以及(c)钙形态改变与支架置入结果改善之间的相关性。这些模型还有助于确定哪些病变将从IVL中获益最多。在这项研究中,我们开发了一个支架扩张的计算机模型,以研究宏观裂缝形态对临床启发几何介入结果的影响。较大的ivl诱导缺陷促进更多的支架后管腔增益。IVL似乎对大的钙化病变有更好的支架术效果。无论钙化斑块大小如何,将钙化斑块分成两部分的IVL缺损最有利于支架成形术。IVL缺损的位置似乎与管腔增益无关。这些发现强调了IVL在PCI中增强病变顺应性和改善临床结果的潜力。IVL引起的宏观缺陷似乎对支架后的预后有重大影响。
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引用次数: 0
A multi-modal computational fluid dynamics model of left atrial fibrillation haemodynamics validated with 4D flow MRI 左房颤血流动力学多模态计算流体动力学模型的4D血流MRI验证。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-01-19 DOI: 10.1007/s10237-024-01901-y
Louis Parker, Emilie Bollache, Shannon Soulez, Khaoula Bouazizi, Nicolas Badenco, Daniel Giese, Estelle Gandjbakhch, Alban Redheuil, Mikael Laredo, Nadjia Kachenoura

Atrial fibrillation (AF) is characterized by rapid and irregular contraction of the left atrium (LA). Impacting LA haemodynamics, this increases the risk of thrombi development and stroke. Flow conditions preceding stroke in these patients are not well defined, partly due the limited resolution of 4D flow magnetic resonance imaging (MRI). In this study, we combine a high-resolution computed tomography (CT) LA reconstruction with motion and pulmonary inflows from 4D flow MRI to create a novel multimodal computational fluid dynamics (CFD) model, applying it to five AF patients imaged in sinus rhythm (24 ± 39 days between acquisitions). The dynamic model was compared with a rigid wall equivalent and the main flow structures were validated with 4D flow MRI. Point-by-point absolute differences between the velocity fields showed moderate differences given the sensitivity to registration. The rigid wall model significantly underestimated LA time-averaged wall shear stress (TAWSS) (p = 0.02) and oscillatory shear index (OSI) (p = 0.02) compared to the morphing model. Similarly, in the left atrial appendage (LAA), TAWSS (p = 0.003) and OSI (p < 0.001) were further underestimated. The morphing model yielded a more accurate mitral valve waveform and showed low TAWSS and high OSI in the LAA, both associated with thrombus formation. We also observed a positive correlation between indexed LA volume and endothelial cell activation potential (ECAP) (R2 = 0.83), as well as LAA volume and LAA OSI (R2 = 0.70). This work demonstrates the importance of LA motion in modelling LAA flow. Assessed in larger cohorts, LAA haemodynamic analysis may be beneficial to refine stroke risk assessment for AF.

心房颤动(AF)的特点是左心房(LA)快速和不规则收缩。影响左心室血流动力学,这增加了血栓形成和中风的风险。这些患者中风前的血流状况没有很好的定义,部分原因是由于4D血流磁共振成像(MRI)的分辨率有限。在这项研究中,我们将高分辨率计算机断层扫描(CT) LA重建与4D血流MRI的运动和肺流相结合,建立了一个新的多模态计算流体动力学(CFD)模型,并将其应用于5名房颤患者的窦性心律成像(采集间隔24±39天)。将动力学模型与刚性壁面等效模型进行了比较,并用四维流动MRI对主要流动结构进行了验证。考虑到配准的敏感性,速度场之间逐点的绝对差显示出适度的差异。与变形模型相比,刚性壁面模型显著低估了LA时均壁面剪切应力(TAWSS) (p = 0.02)和振荡剪切指数(OSI) (p = 0.02)。同样,左心耳(LAA) TAWSS (p = 0.003)和OSI (p 2 = 0.83)以及LAA容积和LAA OSI (R2 = 0.70)。这项工作证明了LAA运动在LAA流建模中的重要性。在更大的队列中评估,LAA血流动力学分析可能有助于完善房颤卒中风险评估。
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引用次数: 0
Hyperelastic constitutive modeling of healthy and enzymatically mediated degraded articular cartilage. 健康和酶介导的降解关节软骨的超弹性本构模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2025-01-19 DOI: 10.1007/s10237-024-01919-2
Asif Istiak, Saiful Islam, Malek Adouni, Tanvir R Faisal

This research demonstrates a systematic curve fitting approach for acquiring parametric values of hyperelastic constitutive models for both healthy and enzymatically mediated degenerated cartilage to facilitate finite element modeling of cartilage. Several widely used phenomenological hyperelastic constitutive models were tested to adequately capture the changes in cartilage mechanics that vary with the differential/unequal abundance of matrix metalloproteinases (MMPs). Trauma and physiological conditions result in an increased production of collagenases (MMP-1) and gelatinases (MMP-9), which impacts the load-bearing ability of cartilage by significantly deteriorating its extracellular matrix (ECM). The material parameters in the constitutive equation of each hyperelastic model are significant for developing a comprehensive computational interpretation of MMP mediated degenerated cartilage. Stress-strain responses obtained from indentation test were fitted with selected Ogden, polynomial, reduced polynomial, and van der Waals hyperelastic constitutive models by optimizing their adjustable parameters (material constants). The goodness of fit of the 2nd order reduced polynomial and van der Waals model exhibited the closest data fitting with the experimental stress-strain distributions of healthy and degraded articular cartilage. The coefficient of the shear modulus for the 2nd order reduced polynomial decreased gradually by 21.9% to 80.1% with more enzymatic degradation of collagen fibril due to the relative abundance of MMP-1 (collagenases), and 28.5% to 69.2% for the van der Waals model. Our findings showed that the major materials coefficients of the models were reduced in the degenerated cartilages, and the reduction varied differentially with the relative abundance of MMPs-1 and 9, correlating the severity of degeneration. This work advances the understanding of cartilage mechanics and offers insights into the impact of biochemical (enzymatic) effects on cartilage degradation.

本研究展示了一种系统的曲线拟合方法,用于获取健康软骨和酶介导的退变软骨的超弹性本构模型的参数值,以促进软骨的有限元建模。我们测试了几种广泛使用的现象学超弹性本构模型,以充分捕捉软骨力学的变化,这些变化随基质金属蛋白酶(MMPs)丰度的差异或不均匀而变化。创伤和生理条件导致胶原酶(MMP-1)和明胶酶(MMP-9)的产生增加,从而通过显著恶化其细胞外基质(ECM)来影响软骨的承载能力。每个超弹性模型本构方程中的材料参数对于开发MMP介导的退变软骨的综合计算解释具有重要意义。通过优化可调参数(材料常数),选取Ogden、多项式、约简多项式和van der Waals超弹性本构模型拟合压痕试验的应力应变响应。二阶约简多项式和范德华模型的拟合优度与健康和退化关节软骨的实验应力-应变分布最接近。由于MMP-1(胶原酶)的相对丰度,胶原纤维的酶降解更多,二阶约化多项式的剪切模量系数逐渐下降21.9%至80.1%,范德瓦尔斯模型的剪切模量系数逐渐下降28.5%至69.2%。我们的研究结果表明,在退行性软骨中,模型的主要材料系数降低,并且随着mmp -1和9的相对丰度的变化而变化,与退行性软骨的严重程度相关。这项工作促进了对软骨力学的理解,并提供了对生化(酶)作用对软骨降解的影响的见解。
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