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The mechanical response of polymeric gyroid structures in an optimised orthotic insole. 优化矫形鞋垫中聚合物陀螺结构的机械响应。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-11-19 DOI: 10.1007/s10237-024-01912-9
Dayna Cracknell, Mark Battley, Justin Fernandez, Maedeh Amirpour

This study aims to explore the mechanical behaviour of polymeric gyroid structures under compression within the context of orthotic insoles, focussing on custom optimisation for lower peak plantar pressures. This research evaluates the compressive response of gyroid structures using a combination of experimental testing and numerical modelling. Stereolithography was used to manufacture gyroid samples for experimental tests, and explicit finite element analysis was used to model the gyroid's response numerically. Hyperfoam, first-order polynomial, and second-order polynomial hyperelastic constitutive models were considered to homogenise the mechanical response of the structure. The homogenised properties of the structure were then implemented in an optimisation algorithm to obtain the optimal gyroid structure for a given subject by minimising the standard distribution of plantar pressures. Findings indicate that the compressive response polymeric gyroid structures can be represented with a homogeneous material. The hyperfoam model was chosen due to its accuracy and interpolation quality. The optimisation process successfully identified configurations that maximise the mechanical advantages of gyroid lattices, demonstrating significant improvements in plantar pressure distributions. The optimised insole showed a 30% reduction in the standard deviation of the plantar pressure and a 10% reduction in the peak stress. The optimisation method reduced peak pressures by 12.2 kPa compared to a traditional medium-density Poron orthotic insole, and 94.3 kPa compared barefoot conditions. The mechanical response of gyroid structures has successfully been modelled, analysed and homogenised. The study concludes that custom gyroid-based orthotic insoles offer a promising solution for personalised foot care.

本研究旨在探索聚合物陀螺结构在矫形鞋垫中受压时的机械性能,重点是定制优化以降低足底压力峰值。本研究采用实验测试和数值建模相结合的方法,对陀螺结构的压缩响应进行评估。立体光刻技术用于制造陀螺样品进行实验测试,显式有限元分析用于对陀螺反应进行数值建模。考虑采用超泡沫、一阶多项式和二阶多项式超弹性构成模型来均匀结构的机械响应。然后将结构的均质化属性应用于优化算法,通过最小化足底压力的标准分布,为给定的受试者获得最佳的陀螺结构。研究结果表明,聚合物陀螺结构的压缩响应可以用均质材料来表示。之所以选择超泡沫模型,是因为其准确性和插值质量。优化过程成功地确定了能最大限度发挥陀螺格机械优势的配置,显著改善了足底压力分布。优化后的鞋垫足底压力标准偏差降低了 30%,峰值压力降低了 10%。与传统的中等密度波隆矫形鞋垫相比,优化方法将峰值压力降低了 12.2 千帕,与赤足条件相比降低了 94.3 千帕。陀螺结构的机械响应已成功建模、分析和均质化。研究得出结论,基于陀螺的定制矫形鞋垫为个性化足部护理提供了一种前景广阔的解决方案。
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引用次数: 0
A review on the mucus dynamics in the human respiratory airway. 人体呼吸道粘液动力学综述。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-11-19 DOI: 10.1007/s10237-024-01898-4
Asma Tufail, Yankun Jiang, Xinguang Cui

Research interest in the dynamics of respiratory flow and mucus has significantly increased in recent years with important contributions from various disciplines such as pulmonary and critical care medicine, surgery, physiology, environmental health sciences, biophysics, and engineering. Different areas of engineering, including mechanical, chemical, civil/environmental, aerospace, and biomedical engineering, have longstanding connections with respiratory research. This review draws on a wide range of scientific literature that reflects the diverse audience and interests in respiratory science. Its focus is on mucus dynamics in the respiratory airways, covering aspects such as mucins in fluidity and network formation, mucus production and function, response to external conditions, clearance methods, relationship with age, rheological properties, mucus surfactant, and mucoviscidosis. Each of these areas contains multiple subtopics that offer extensive depth and breadth for readers. We underscore the crucial importance of regulating and treating mucus for maintaining the health and functionality of the respiratory system, highlighting the ongoing need for further research to address respiratory disorders associated with mucus dynamics.

近年来,人们对呼吸道气流和粘液动力学的研究兴趣明显增加,肺脏和重症监护医学、外科、生理学、环境健康科学、生物物理学和工程学等不同学科都做出了重要贡献。工程学的不同领域,包括机械、化学、土木/环境、航空航天和生物医学工程,都与呼吸系统研究有着长期的联系。本综述参考了广泛的科学文献,反映了呼吸科学的不同受众和兴趣。其重点是呼吸道中的粘液动力学,涉及的方面包括流动性和网络形成中的粘蛋白、粘液的产生和功能、对外界条件的反应、清除方法、与年龄的关系、流变特性、粘液表面活性剂和粘液粘稠病。每个领域都包含多个子课题,为读者提供了广泛的深度和广度。我们强调调节和治疗粘液对维持呼吸系统的健康和功能至关重要,并强调需要不断进行深入研究,以解决与粘液动力学相关的呼吸系统疾病。
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引用次数: 0
Timing of resting zone parathyroid hormone-related protein expression affects maintenance of the growth plate during secondary ossification: a computational study. 静止区甲状旁腺激素相关蛋白的表达时间影响继发性骨化过程中生长板的维持:一项计算研究。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-11-16 DOI: 10.1007/s10237-024-01899-3
Jorik Stoop, Yuka Yokoyama, Taiji Adachi

Secondary ossification and maintenance of the growth plate are crucial aspects of long bone formation. Parathyroid hormone-related protein (PTHrP) has been implicated as a key factor in maintaining the growth plate, and studies suggest that PTHrP expression in the resting zone is closely related with formation of the secondary ossification center (SOC). However, details of the relationship between resting zone PTHrP expression and preservation of the growth plate remain unclear. In this study, we aim to investigate the role of resting zone PTHrP expression on maintenance of the growth plate using a computational method. We extend an existing continuum-based particle model of tissue morphogenesis to include PTHrP and Indian hedgehog (Ihh) signaling, allowing the model to capture biochemical and mechanical regulation of individual cell activities. Our model indicates that the timing of resting zone PTHrP expression-specifically the rate of increase in production at the onset of SOC formation-is potentially a crucial mechanism for maintenance of the growth plate.

二次骨化和生长板的维持是长骨形成的关键环节。甲状旁腺激素相关蛋白(PTHrP)被认为是维持生长板的关键因素,研究表明,静止区 PTHrP 的表达与二次骨化中心(SOC)的形成密切相关。然而,静止区 PTHrP 表达与生长板保存之间关系的细节仍不清楚。在本研究中,我们旨在利用计算方法研究静息区 PTHrP 表达对生长板维持的作用。我们扩展了现有的基于连续粒子的组织形态发生模型,将 PTHrP 和印度刺猬(Ihh)信号纳入其中,使该模型能够捕捉到单个细胞活动的生化和机械调控。我们的模型表明,静止区 PTHrP 的表达时间--特别是 SOC 形成之初的分泌增加率--可能是维持生长板的关键机制。
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引用次数: 0
A non-intrusive reduced-order model for finite element analysis of implant positioning in total hip replacements. 用于全髋关节置换术植入物定位有限元分析的非侵入式减阶模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-11-13 DOI: 10.1007/s10237-024-01903-w
Marlis Reiber, Fynn Bensel, Zhibao Zheng, Udo Nackenhorst

Sophisticated high-fidelity simulations can predict bone mass density (BMD) changes around a hip implant after implantation. However, these models currently have high computational demands, rendering them impractical for clinical settings. Model order reduction techniques offer a remedy by enabling fast evaluations. In this work, a non-intrusive reduced-order model, combining proper orthogonal decomposition with radial basis function interpolation (POD-RBF), is established to predict BMD distributions for varying implant positions. A parameterised finite element mesh is morphed using Laplace's equation, which eliminates tedious remeshing and projection of the BMD results on a common mesh in the offline stage. In the online stage, the surrogate model can predict BMD distributions for new implant positions and the results are visualised on the parameterised reference mesh. The computational time for evaluating the final BMD distribution around a new implant position is reduced from minutes to milliseconds by the surrogate model compared to the high-fidelity model. The snapshot data, the surrogate model parameters and the accuracy of the surrogate model are analysed. The presented non-intrusive surrogate model paves the way for on-the-fly evaluations in clinical practice, offering a promising tool for planning and monitoring of total hip replacements.

先进的高保真模拟可以预测髋关节植入物植入后周围骨质密度(BMD)的变化。然而,这些模型目前对计算要求很高,因此在临床环境中并不实用。模型阶次缩减技术通过实现快速评估提供了一种补救措施。在这项研究中,我们建立了一个非侵入式降阶模型,该模型结合了适当的正交分解和径向基函数插值(POD-RBF),用于预测不同植入位置的 BMD 分布。使用拉普拉斯方程对参数化的有限元网格进行变形,从而避免了离线阶段在普通网格上对 BMD 结果进行繁琐的重网格化和投影。在在线阶段,代用模型可以预测新植入位置的 BMD 分布,并在参数化参考网格上显示结果。与高保真模型相比,代用模型评估新植入位置周围最终 BMD 分布的计算时间从几分钟缩短到几毫秒。对快照数据、代用模型参数和代用模型的准确性进行了分析。所介绍的非侵入式代用模型为临床实践中的即时评估铺平了道路,为全髋关节置换术的规划和监测提供了一种前景广阔的工具。
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引用次数: 0
Comparison and identification of human coronary plaques with/without erosion using patient-specific optical coherence tomography-based fluid-structure interaction models: a pilot study. 使用基于患者特异性光学相干断层扫描的流体-结构相互作用模型比较和识别有/无侵蚀的人体冠状动脉斑块:一项试验研究。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-11-12 DOI: 10.1007/s10237-024-01906-7
Yanwen Zhu, Chen Zhao, Zheyang Wu, Akiko Maehara, Dalin Tang, Liang Wang, Zhanqun Gao, Yishuo Xu, Rui Lv, Mengde Huang, Xiaoguo Zhang, Jian Zhu, Haibo Jia, Bo Yu, Minglong Chen, Gary S Mintz

Plaque erosion (PE) with secondary thrombosis is one of the key mechanisms of acute coronary syndrome (ACS) which often leads to drastic cardiovascular events. Identification and prediction of PE are of fundamental significance for disease diagnosis, prevention and treatment. In vivo optical coherence tomography (OCT) data of eight eroded plaques and eight non-eroded plaques were acquired to construct three-dimensional fluid-structure interaction models and obtain plaque biomechanical conditions for investigation. Plaque stenosis severity, plaque burden, plaque wall stress (PWS) and strain (PWSn), flow shear stress (FSS), and ΔFSS (FSS variation in time) were extracted for comparison and prediction. A logistic regression model was used to predict plaque erosion. Our results indicated that the combination of mean PWS and mean ΔFSS gave best prediction (AUC = 0.866, 90% confidence interval (0.717, 1.0)). The best single predictor was max ΔFSS (AUC = 0.819, 90% confidence interval (0.624, 1.0)). The average of maximum FSS values from eroded plaques was 76% higher than that from the non-eroded plaques (127.96 vs. 72.69 dyn/cm2) while the average of mean FSS from erosion sites of the eight eroded plaques was 48.6% higher than that from sites without erosion (71.52 vs. 48.11 dyn/cm2). The average of mean PWS from plaques with erosion was 22.83% lower than that for plaques without erosion (83.2 kPa vs. 107.8 kPa). This pilot study suggested that combining plaque stress, strain and flow shear stress could help better identify patients with potential plaque erosion, enabling possible early intervention therapy. Further studies are needed to validate our findings.

斑块侵蚀(PE)和继发性血栓形成是急性冠状动脉综合征(ACS)的关键机制之一,通常会导致严重的心血管事件。斑块侵蚀的识别和预测对疾病的诊断、预防和治疗具有重要意义。该研究获取了八个侵蚀斑块和八个非侵蚀斑块的活体光学相干断层扫描(OCT)数据,以构建三维流体-结构相互作用模型,并获得斑块的生物力学条件进行研究。提取斑块狭窄严重程度、斑块负荷、斑块壁应力(PWS)和应变(PWSn)、流动剪应力(FSS)和ΔFSS(FSS随时间的变化)进行比较和预测。采用逻辑回归模型预测斑块侵蚀。结果表明,平均 PWS 和平均 ΔFSS 的组合具有最佳预测效果(AUC = 0.866,90% 置信区间 (0.717, 1.0))。最佳的单一预测指标是最大 ΔFSS(AUC = 0.819,90% 置信区间(0.624,1.0))。侵蚀斑块的最大 FSS 平均值比未侵蚀斑块高 76%(127.96 对 72.69 达因/平方厘米),而 8 个侵蚀斑块侵蚀点的平均 FSS 平均值比未侵蚀点高 48.6%(71.52 对 48.11 达因/平方厘米)。有侵蚀斑块的平均 PWS 值比无侵蚀斑块低 22.83%(83.2 千帕对 107.8 千帕)。这项试验研究表明,结合斑块应力、应变和血流剪切应力有助于更好地识别潜在斑块侵蚀的患者,从而进行早期干预治疗。还需要进一步的研究来验证我们的发现。
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引用次数: 0
Investigating wall shear stress and the static pressure in bone scaffolds: a study of porosity and fluid flow dynamics. 研究骨支架中的壁剪应力和静压力:孔隙率和流体流动动力学研究。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-10-30 DOI: 10.1007/s10237-024-01904-9
Vedang Gadgil, Shriram Kumbhojkar, Tushar Sapre, Prathamesh Deshmukh, Pankaj Dhatrak

In bone tissue engineering, scaffolds are crucial as they provide a suitable structure for cell proliferation. Transporting Dulbecco's Modified Eagle Medium (DMEM) to the cells and regulating the scaffold's biocompatibility are both controlled by the dynamics of the fluid passing through the scaffold pores. Scaffold design selection and modeling are thus important in tissue engineering to achieve successful bone regeneration. This study aims to design and analyze three scaffold designs-Face-Centered Cubic (FCC), and two newly developed designs Octagonal Truss and a Square Pyramid with four porosity variations. The research aims to analyze the effect of design and porosity variation on pressure and wall shear stress, essential for analyzing scaffold biocompatibility in tissue engineering. Three scaffold designs with varying porosities with strut diameters ranging from 0.3  to 0.6 mm were modeled to analyze the behavior using BioMed Clear Resin. The fluid dynamics within these scaffolds were then examined using Computational Fluid Dynamics (CFD) to understand how different porosity levels affect fluid flow pressure and wall shear stress. The findings revealed variations in wall shear stress and their influence on cell proliferation. The maximum value of wall shear stress (WSS) is observed in the Square Pyramid model. The analysis shows that WSS at the inlet decreases as strut diameters increase or porosity percentages rise offering valuable insights for the development of effective scaffold designs. It can be concluded from the results that the Square Pyramid design has the highest value of WSS, thus increasing the chances of cell growth. From a biological perspective, the results of this work show promise for creating better scaffolds for tissue engineering.

在骨组织工程中,支架至关重要,因为它能为细胞增殖提供合适的结构。向细胞输送杜氏改良老鹰培养基(DMEM)和调节支架的生物相容性都受控于流体通过支架孔隙的动力学。因此,支架的设计选择和建模在组织工程学中对实现成功的骨再生非常重要。本研究旨在设计和分析三种支架设计--面心立方体(FCC),以及两种新开发的设计--八角桁架和方形金字塔,以及四种孔隙率变化。研究旨在分析设计和孔隙率变化对压力和壁剪切应力的影响,这对分析组织工程中支架的生物相容性至关重要。使用 BioMed Clear 树脂对三种孔隙率不同、支柱直径从 0.3 毫米到 0.6 毫米不等的支架设计进行了建模,以分析其行为。然后使用计算流体动力学(CFD)对这些支架内的流体动力学进行了研究,以了解不同孔隙率水平如何影响流体流动压力和壁面剪切应力。研究结果显示了壁剪应力的变化及其对细胞增殖的影响。在方形金字塔模型中观察到了壁面剪切应力(WSS)的最大值。分析表明,入口处的 WSS 会随着支柱直径的增加或孔隙率的增加而减小,这为开发有效的支架设计提供了宝贵的启示。从结果中可以得出结论,方形金字塔设计的 WSS 值最高,从而增加了细胞生长的机会。从生物学角度来看,这项工作的结果表明,有望为组织工程创造出更好的支架。
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引用次数: 0
A multiphasic model for determination of mouse ascending thoracic aorta mass transport properties with and without aneurysm. 用于确定有无动脉瘤的小鼠升胸主动脉质量传输特性的多相模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-10-29 DOI: 10.1007/s10237-024-01897-5
Keshav A Kailash, Shamimur R Akanda, Alexandra L Davis, Christie L Crandall, Luis A Castro, Lori A Setton, Jessica E Wagenseil

Thoracic aortic aneurysms (TAAs) are associated with aortic wall remodeling that affects transmural transport or the movement of fluid and solute across the wall. In previous work, we used a Fbln4E57K/E57K (MU) mouse model to investigate transmural transport changes as a function of aneurysm severity. We compared wild-type (WT), MU with no aneurysm (MU-NA), MU with aneurysm (MU-A), and MU with an additional genetic mutation that led to increased aneurysm penetrance (MU-XA). We found that all aneurysmal aortas (MU-A and MU-XA) had lower fluid flux compared to WT. Non-aneurysmal aortas (MU-NA) had higher 4 kDa FITC-dextran solute flux than WT, but aneurysmal MU-A and MU-XA aortas had solute fluxes similar to WT. Our experimental results could not isolate competing factors, such as changes in aortic geometry and solid material properties among these mouse models, to determine how intrinsic transport properties change with aneurysm severity. The objective of this study is to use biphasic and multiphasic models to identify changes in transport material properties. Our biphasic model indicates that hydraulic permeability is significantly decreased in the severe aneurysm model (MU-XA) compared to non-aneurysmal aortas (MU-NA). Our multiphasic model shows that effective solute diffusivity is increased in MU-NA aortas compared to all others. Our findings reveal changes in intrinsic transport properties that depend on aneurysm severity and are important for understanding the movement of fluids and solutes that may play a role in the diagnosis, progression, or treatment of TAA.

胸主动脉瘤(TAA)与主动脉壁重塑有关,重塑会影响壁间转运或流体和溶质的跨壁运动。在之前的工作中,我们使用 Fbln4E57K/E57K (MU) 小鼠模型研究了跨壁运输变化与动脉瘤严重程度的关系。我们比较了野生型(WT)、无动脉瘤的 MU(MU-NA)、有动脉瘤的 MU(MU-A)和有额外基因突变导致动脉瘤穿透性增加的 MU(MU-XA)。我们发现,与 WT 相比,所有动脉瘤主动脉(MU-A 和 MU-XA)的流体通量都较低。非动脉瘤主动脉(MU-NA)的 4 kDa FITC-葡聚糖溶质通量高于 WT,但动脉瘤 MU-A 和 MU-XA 主动脉的溶质通量与 WT 相似。我们的实验结果无法隔离这些小鼠模型之间的竞争因素,如主动脉几何形状和固体材料特性的变化,从而确定内在运输特性如何随动脉瘤严重程度而变化。本研究的目的是使用双相和多相模型来确定运输材料特性的变化。我们的双相模型表明,与非动脉瘤主动脉(MU-NA)相比,严重动脉瘤模型(MU-XA)的水力渗透性明显下降。我们的多相模型显示,MU-NA 主动脉的有效溶质扩散率比其他所有主动脉都要高。我们的研究结果揭示了取决于动脉瘤严重程度的内在运输特性的变化,这对了解可能在 TAA 的诊断、进展或治疗中发挥作用的液体和溶质的运动非常重要。
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引用次数: 0
Piezoelectricity and flexoelectricity in biological cells: the role of cell structure and organelles. 生物细胞中的压电和挠电:细胞结构和细胞器的作用。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-10-26 DOI: 10.1007/s10237-024-01895-7
Akepogu Venkateshwarlu, Akshayveer, Sundeep Singh, Roderick Melnik

Living tissues experience various external forces on cells, influencing their behaviour, physiology, shape, gene expression, and destiny through interactions with their environment. Despite much research done in this area, challenges remain in our better understanding of the behaviour of the cell in response to external stimuli, including the arrangement, quantity, and shape of organelles within the cell. This study explores the electromechanical behaviour of biological cells, including organelles like microtubules, mitochondria, nuclei, and cell membranes. A two-dimensional bio-electromechanical model for two distinct cell structures has been developed to analyze the behavior of the biological cell to the external electrical and mechanical responses. The piezoelectric and flexoelectric effects have been included via multiphysics coupling for the biological cell. All the governing equations have been discretized and solved by the finite element method. It is found that the longitudinal stress is absent and only the transverse stress plays a crucial role when the mechanical load is imposed on the top side of the cell through compressive displacement. The impact of flexoelectricity is elucidated by introducing a new parameter called the maximum electric potential ratio ( V R , max ). It has been found that V R , max depends upon the orientation angle and shape of the microtubules. The magnitude of V R , max exhibit huge change when we change the shape and orientation of the organelles, which in some cases (boundary condition (BC)-3) can reach to three times of regular shape organelles. Further, the study reveals that the number of microtubules significantly impacts effective elastic and piezoelectric coefficients, affecting cell behavior based on structure, microtubule orientation, and mechanical stress direction. The insight obtained from the current study can assist in advancements in medical therapies such as tissue engineering and regenerative medicine.

活体组织的细胞会受到各种外力作用,通过与环境的相互作用影响细胞的行为、生理、形状、基因表达和命运。尽管我们在这一领域开展了大量研究,但要更好地理解细胞在外界刺激下的行为,包括细胞内细胞器的排列、数量和形状,仍然面临挑战。本研究探讨了生物细胞的机电行为,包括微管、线粒体、细胞核和细胞膜等细胞器。我们为两种不同的细胞结构开发了一个二维生物机电模型,以分析生物细胞对外部电气和机械响应的行为。通过多物理耦合,生物细胞的压电效应和挠电效应被包含在内。所有控制方程都已离散化,并通过有限元法求解。研究发现,当机械载荷通过压缩位移施加到细胞顶部时,纵向应力不存在,只有横向应力起关键作用。通过引入一个名为最大电动势比(V R , max)的新参数,阐明了挠电性的影响。研究发现,V R , max 取决于微管的取向角和形状。当我们改变细胞器的形状和方向时,V R , max 的大小会发生巨大变化,在某些情况下(边界条件 (BC)-3)可以达到规则形状细胞器的三倍。此外,研究还揭示了微管数量对有效弹性系数和压电系数的显著影响,从而影响基于结构、微管方向和机械应力方向的细胞行为。本研究获得的洞察力有助于推动组织工程和再生医学等医学疗法的发展。
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引用次数: 0
Three-dimensional anisotropic unified continuum model for simulating the healing of damaged soft biological tissues 用于模拟受损生物软组织愈合的三维各向异性统一连续体模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-10-17 DOI: 10.1007/s10237-024-01888-6
Di Zuo, Mingji Zhu, Daye Chen, Qiwen Xue, Stéphane Avril, Klaus Hackl, Yiqian He

The soft biological tissues have the ability to heal and self-repair after damage or injury. During the healing process, damaged tissues are replaced by newly produced undamaged tissue to restore homeostasis. Computational modeling serves as an effective tool for simulating the healing process and understanding the underlying mechanisms. In previous work, we developed the first unified continuum damage model for the healing of soft biological tissues. However, the initial theory lacked generalizability to more realistic scenarios and applicability to biomechanical problems due to the simplicity of the isotropic constitutive model and two-dimensional simulations. Therefore, we further improve our approach by developing a three-dimensional anisotropic unified healing model to address more realistic challenges. By using the Holzapfel–Gasser–Ogden model as the hyperelastic term, the influence of the collagen fibers is considered and the reorientation of fibers in healing is simulated. Three numerical examples related to hypertension, aneurysm, and restenosis of the atherosclerotic artery after balloon angioplasty are presented to demonstrate the effectiveness of the proposed model. By comparing numerical solutions and reference solutions, we demonstrate the ability of the proposed model in simulating long-term tissue healing process and analyze the impact of anisotropic terms.

生物软组织在受损或受伤后具有愈合和自我修复的能力。在愈合过程中,受损组织会被新生成的未受损组织取代,从而恢复平衡。计算模型是模拟愈合过程和了解其基本机制的有效工具。在之前的工作中,我们建立了第一个统一的连续损伤模型,用于软生物组织的愈合。然而,由于各向同性构成模型和二维模拟的简易性,最初的理论缺乏对更现实场景的普适性和对生物力学问题的适用性。因此,我们通过开发三维各向异性统一愈合模型来进一步改进我们的方法,以应对更现实的挑战。通过使用 Holzapfel-Gasser-Ogden 模型作为超弹性项,我们考虑了胶原纤维的影响,并模拟了愈合过程中纤维的重新定向。本文列举了三个与高血压、动脉瘤和球囊血管成形术后动脉粥样硬化再狭窄有关的数值示例,以证明所提模型的有效性。通过比较数值解和参考解,我们证明了所提模型模拟长期组织愈合过程的能力,并分析了各向异性项的影响。
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引用次数: 0
Multiscale homogenized constrained mixture model of the bio-chemo-mechanics of soft tissue growth and remodeling 软组织生长和重塑的生物化学力学多尺度均质约束混合物模型。
IF 3 3区 医学 Q2 BIOPHYSICS Pub Date : 2024-10-17 DOI: 10.1007/s10237-024-01884-w
Daniel Paukner, Jay D. Humphrey, Christian J. Cyron

Constrained mixture models have successfully simulated many cases of growth and remodeling in soft biological tissues. So far, extensions of these models have been proposed to include either intracellular signaling or chemo-mechanical coupling on the organ-scale. However, no version of constrained mixture models currently exists that includes both aspects. Here, we propose such a version that resolves cellular signal processing by a set of logic-gated ordinary differential equations and captures chemo-mechanical interactions between cells by coupling a reaction-diffusion equation with the equations of nonlinear continuum mechanics. To demonstrate the potential of the model, we present 2 case studies within vascular solid mechanics: (i) the influence of angiotensin II on aortic growth and remodeling and (ii) the effect of communication between endothelial and intramural arterial cells via nitric oxide and endothelin-1.

受限混合模型已成功模拟了许多软生物组织的生长和重塑情况。迄今为止,已有人提出对这些模型进行扩展,以包括器官尺度上的细胞内信号传递或化学-机械耦合。然而,目前还没有同时包含这两个方面的约束混合物模型版本。在这里,我们提出了这样一个版本,它通过一组逻辑门控常微分方程来解决细胞信号处理问题,并通过将反应扩散方程与非线性连续介质力学方程耦合来捕捉细胞间的化学机械相互作用。为了证明该模型的潜力,我们介绍了血管固体力学中的两个案例研究:(i) 血管紧张素 II 对主动脉生长和重塑的影响;(ii) 内皮细胞和动脉内膜细胞之间通过一氧化氮和内皮素-1 进行交流的影响。
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引用次数: 0
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Biomechanics and Modeling in Mechanobiology
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