Numerical Analysis, Computer-Assisted

数值分析,计算机辅助
  • 文章类型: Journal Article
    在过去的几十年里,使用超声骨质量评估进行早期骨质疏松检测已得到重视。具体来说,各种研究集中在使用超声导波的轴向传输,并强调了这种技术对长皮质骨的内在特性的敏感性。这项工作旨在证明低频超声导波的潜力,以推断它们在其中传播的骨骼的特性。专有的超声波换能器,适合在500kHz以下发射超声导波,用于数据收集。收集的数据经过二维快速傅里叶变换处理,以提取实验色散曲线。所提出的反演方案将实验色散曲线与通过半解析等几何分析(SAIGA)方法计算的模拟色散曲线进行了比较。数值模型集成了一个骨模板,其顶部表面上有一个软组织层,模仿实验骨模板。随后,通过减少实验和模拟色散曲线之间的失配来估计骨模型板的机械性能。这种反演严重依赖于超声导波模式的色散轨迹和振幅。结果表明,使用基于SAIGA的反演确定的机械性能与使用体波脉冲回波测量测得的机械性能之间存在5%以下的边际差异。
    Over the past few decades, early osteoporosis detection using ultrasonic bone quality evaluation has gained prominence. Specifically, various studies focused on axial transmission using ultrasonic guided waves and have highlighted this technique\'s sensitivity to intrinsic properties of long cortical bones. This work aims to demonstrate the potential of low-frequency ultrasonic guided waves to infer the properties of the bone inside which they are propagating. A proprietary ultrasonic transducer, tailored to transmit ultrasonic guided waves under 500 kHz, was used for the data collection. The gathered data underwent two-dimensional fast Fourier transform processing to extract experimental dispersion curves. The proposed inversion scheme compares experimental dispersion curves with simulated dispersion curves calculated through the semi-analytical iso-geometric analysis (SAIGA) method. The numerical model integrates a bone phantom plate coupled with a soft tissue layer on its top surface, mimicking the experimental bone phantom plates. Subsequently, the mechanical properties of the bone phantom plates were estimated by reducing the misfit between the experimental and simulated dispersion curves. This inversion leaned heavily on the dispersive trajectories and amplitudes of ultrasonic guided wave modes. Results indicate a marginal discrepancy under 5% between the mechanical properties ascertained using the SAIGA-based inversion and those measured using bulk wave pulse-echo measurements.
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  • 文章类型: Journal Article
    动脉硬化是心血管疾病的主要危险因素,并导致动脉血管变硬。由心脏发送并传播到动脉中的脉搏波的速度估计是广泛接受的生物标志物。这种对称的脉冲波以与通过MoensKorteweg(MK)方程的杨氏模量相关的速度传播。最近,已在体内观察到反对称的弯曲波。与对称波不同,它是高度分散的。该特性为监测动脉僵硬度和早期检测动脉粥样斑块提供了有希望的应用。然而,据我们所知,对于弯曲脉冲波,不存在MK方程的等效项。为了弥合这个差距,建立了基于光束的理论,并达到了近似的解析解。建立了软聚合物动脉体模实验,以观察弯曲波的色散。在梁理论和实验得出的解析表达式之间发现了很好的一致性。此外,数值模拟验证了低频下波速对弹性和几何参数的依赖性。临床应用,如动脉年龄估计和动脉压测量,是预见到的。
    Arteriosclerosis is a major risk factor for cardiovascular disease and results in arterial vessel stiffening. Velocity estimation of the pulse wave sent by the heart and propagating into the arteries is a widely accepted biomarker. This symmetrical pulse wave propagates at a speed which is related to the Young\'s modulus through the Moens Korteweg (MK) equation. Recently, an antisymmetric flexural wave has been observed in vivo. Unlike the symmetrical wave, it is highly dispersive. This property offers promising applications for monitoring arterial stiffness and early detection of atheromatous plaque. However, as far as it is known, no equivalent of the MK equation exists for flexural pulse waves. To bridge this gap, a beam based theory was developed, and approximate analytical solutions were reached. An experiment in soft polymer artery phantoms was built to observe the dispersion of flexural waves. A good agreement was found between the analytical expression derived from beam theory and experiments. Moreover, numerical simulations validated wave speed dependence on the elastic and geometric parameters at low frequencies. Clinical applications, such as arterial age estimation and arterial pressure measurement, are foreseen.
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  • 文章类型: Journal Article
    头部相关传递函数(HRTF)的数值模拟通常假定耳廓具有刚性边界条件。人类的耳廓,然而,是可以由于入射声波而振动的弹性可变形体。这项工作研究了耳廓的声音引起的振动如何影响模拟的HRTF幅度。这项工作将通过使用高速全息干涉系统测量人造耳廓的声音引起的振动模式来激发研究问题。然后,有限元模拟用于确定B&K5128头部和躯干模拟器的桌面模型的HRTF。探索了两种情况:一种是耳廓被建模为完全刚性的,另一个是耳廓被建模为线性弹性,材料特性接近耳软骨。研究结果表明,耳廓振动对高达5kHz的HRTF幅度的影响可以忽略不计。同样的结论,尽管不太确定,被绘制为更高的频率。最后,强调了弹性域的材料特性的重要性,并详细讨论了对假人头部1的验证研究的可能影响以及本工作的局限性。
    Numerical simulations of head-related transfer functions (HRTFs) conventionally assume a rigid boundary condition for the pinna. The human pinna, however, is an elastic deformable body that can vibrate due to incident acoustic waves. This work investigates how sound-induced vibrations of the pinna can affect simulated HRTF magnitudes. The work will motivate the research question by measuring the sound-induced vibrational patterns of an artificial pinna with a high-speed holographic interferometric system. Then, finite element simulations are used to determine HRTFs for a tabletop model of the B&K 5128 head and torso simulator for a number of directions. Two scenarios are explored: one where the pinna is modeled as perfectly rigid, and another where the pinna is modeled as linear elastic with material properties close to that of auricular cartilage. The findings suggest that pinna vibrations have negligible effects on HRTF magnitudes up to 5 kHz. The same conclusion, albeit with less certainty, is drawn for higher frequencies. Finally, the importance of the elastic domain\'s material properties is emphasized and possible implications for validation studies on dummy heads 1as well as the limitations of the present work are discussed in detail.
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  • 文章类型: Journal Article
    目的:主动脉夹层与高死亡率相关。尽管计算方法已经揭示了这种疾病的许多方面,需要进行敏感性分析以确定不同因素的重要性。由于其复杂的几何形状和高计算费用,三维(3D)流体-结构相互作用(FSI)模拟不是灵敏度分析的合适方法。
    方法:我们进行了蒙特卡罗模拟(MCS),以研究血液动力学量对我们的零维(0D)模型的集总参数的敏感性。我们对模型参数对重要血液动力学量的影响进行了局部和全局分析。
    结果:MCS显示,假腔和泪液的较大的集总电阻值导致假腔中更高的逆行流速(变异系数,[公式:见正文],灵敏度[公式:见正文],斯皮尔曼系数,[公式:见正文])。对于管腔内压力,我们的结果表明,在真腔的阻力和惯性(变异系数,[公式:见正文],灵敏度[公式:见正文],和斯皮尔曼系数,[公式:见文本]了解真实流明的惯性)。
    结论:本研究强调了将局部和全局敏感性分析的结果进行比较以了解多个集总参数的重要性的必要性。由于该方法的效率,我们的方法可能有助于调查和分析医疗计划.
    OBJECTIVE: Aortic dissection is associated with a high mortality rate. Although computational approaches have shed light on many aspects of the disease, a sensitivity analysis is required to determine the significance of different factors. Because of its complex geometry and high computational expense, the three-dimensional (3D) fluid-structure interaction (FSI) simulation is not a suitable approach for sensitivity analysis.
    METHODS: We performed a Monte Carlo simulation (MCS) to investigate the sensitivity of hemodynamic quantities to the lumped parameters of our zero-dimensional (0D) model with numerically calculated lumped parameters. We performed local and global analyses on the effect of the model parameters on important hemodynamic quantities.
    RESULTS: The MCS showed that a larger lumped resistance value for the false lumen and the tears result in a higher retrograde flow rate in the false lumen (the coefficient of variation, c v , i = 0.0183 , the sensitivity S X i σ = 0.54 , Spearman\'s coefficient, ρ s = 0.464 ). For the intraluminal pressure, our results show a significant role in the resistance and inertance of the true lumen (the coefficient of variation, c v , i = 0.0640 , the sensitivity S X i σ = 0.85 , and Spearman\'s coefficient, ρ s = 0.855 for the inertance of the true lumen).
    CONCLUSIONS: This study highlights the necessity of comparing the results of the local and global sensitivity analyses to understand the significance of multiple lumped parameters. Because of the efficiency of the method, our approach is potentially useful to investigate and analyze medical planning.
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  • 文章类型: Journal Article
    血管性血友病因子(VWF)分泌过多,再加上ADAMTS13活性的中度至重度缺乏,作为炎症与血栓形成之间的连接机制。前者促进血小板粘附到血管壁,而后者需要裂解VWF多聚体。因此,Weibel-Palade机构释放的超大型VWF(UL-VWF)多聚体保持未切割。在这项研究中,使用基于第一原理的计算模型,我们定量显示了未切割的UL-VWF多聚体如何与血细胞相互作用以引发微血栓形成.我们观察到血小板首先粘附到锚定到微血管壁上的展开和拉伸的未切割UL-VWF多聚体。在这个初始粘附阶段结束时,UL-VWF多聚体和血小板形成网状陷阱,红细胞在其中逐渐积累,引发逐渐增长的微血栓形成.尽管激活血小板和展开UL-VWF需要高剪切速率和血流速度,在初始粘附阶段,血栓形成后血流速度急剧下降,结果,壁剪应力在UL-VWF根部附近升高,压力下降到健康状况的6倍。随着时间的流逝,这些趋势逐渐持续,直到微血栓形成完全发展,微血栓形成的有效大小和这些流量几乎保持恒定.我们的研究结果定量地证明了UL-VWF在凝血病中的潜在作用。
    An excessive von Willebrand factor (VWF) secretion, coupled with a moderate to severe deficiency of ADAMTS13 activity, serves as a linking mechanism between inflammation to thrombosis. The former facilitates platelet adhesion to the vessel wall and the latter is required to cleave VWF multimers. As a result, the ultra-large VWF (UL-VWF) multimers released by Weibel-Palade bodies remain uncleaved. In this study, using a computational model based on first principles, we quantitatively show how the uncleaved UL-VWF multimers interact with the blood cells to initiate microthrombosis. We observed that platelets first adhere to unfolded and stretched uncleaved UL-VWF multimers anchored to the microvessel wall. By the end of this initial adhesion phase, the UL-VWF multimers and platelets make a mesh-like trap in which the red blood cells increasingly accumulate to initiate a gradually growing microthrombosis. Although high-shear rate and blood flow velocity are required to activate platelets and unfold the UL-VWFs, during the initial adhesion phase, the blood velocity drastically drops after thrombosis, and as a result, the wall shear stress is elevated near UL-VWF roots, and the pressure drops up to 6 times of the healthy condition. As the time passes, these trends progressively continue until the microthrombosis fully develops and the effective size of the microthrombosis and these flow quantities remain almost constant. Our findings quantitatively demonstrate the potential role of UL-VWF in coagulopathy.
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  • 文章类型: Journal Article
    我们提出了人类角膜的患者特异性有限元模型,该模型解释了上皮的存在。从机械角度来看,保护角膜免受外部作用的薄前层几乎没有相关性,它在大多数角膜的数值模型中被忽略,将基质的机械性能赋予整个角膜。然而,现代角膜地形图师捕获上皮的几何形状,可以自然地包含在患者特定的角膜实体模型中,处理为多层固体。对于数值应用,前角膜上薄层的存在需要更精细的离散化以及基质和上皮的两个本构模型(包括相应的性质)的定义.在这项研究中,我们想评估角膜模型中包含上皮的相关性,通过分析机械性能不确定性的影响,整个厚度的应力分布,和数值离散化。我们得出结论,如果上皮被建模为基质,材料性能应降低10%。虽然这种选择代表了模拟体内机械测试的足够好的近似,这可能会导致在屈光手术的模拟中低估术后压力.
    We present a patient-specific finite element model of the human cornea that accounts for the presence of the epithelium. The thin anterior layer that protects the cornea from the external actions has a scant relevance from the mechanical point of view, and it has been neglected in most numerical models of the cornea, which assign to the entire cornea the mechanical properties of the stroma. Yet, modern corneal topographers capture the geometry of the epithelium, which can be naturally included into a patient-specific solid model of the cornea, treated as a multi-layer solid. For numerical applications, the presence of a thin layer on the anterior cornea requires a finer discretization and the definition of two constitutive models (including the corresponding properties) for stroma and epithelium. In this study, we want to assess the relevance of the inclusion of the epithelium in the model of the cornea, by analyzing the effects in terms of uncertainties of the mechanical properties, stress distribution across the thickness, and numerical discretization. We conclude that if the epithelium is modeled as stroma, the material properties should be reduced by 10%. While this choice represents a sufficiently good approximation for the simulation of in vivo mechanical tests, it might result into an under-estimation of the postoperative stress in the simulation of refractive surgery.
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  • 文章类型: Journal Article
    目的:对于一些巨大的颅内动脉瘤(GIA),常规的夹闭和血管内治疗是很难应用的。有时颅外至颅内(EC-IC)旁路成为可选的选择。然而,并非所有GIA患者都能从中受益。本研究旨在认识潜在的问题。
    方法:我们纳入了符合条件的患者。然后,我们从三个层面进行了研究:临床数据的回顾性回顾,来自两个代表性的患者特定模型的流体结构分析,以及理想化模型的流体-结构相互作用分析,以研究血液动力学和生物力学机制。
    结果:在本文中,我们报告了9例接受EC-IC手术的GIA患者.其中,三个人经历了危险的术后出血,一名患者死亡。在这三个病人中,两个缺乏大脑前动脉(ACA)的A1段。数值模拟表明,手术后,对于动脉瘤未破裂且存在ACA的患者,墙体变形,壁应力,压力,振荡剪切指数(OSI)>0.2的面积减少了43%,39%,33%,13%,而没有A1段的患者术后出血占36%,45%,13%,增加了55%,分别。因此,在这种情况下,我们假定了危险的“残端现象”,并从具有不同大小的ACA的理想化模型中进一步证明了这一点。最后,我们发现较大的吻合角度和较小的移植物直径可以减轻这种影响。
    结论:神经外科医生在做出临床决定时,应谨慎评估ACAA1段发育不全患者的机会和风险。
    OBJECTIVE: Conventional clipping and endovascular treatment are difficult to apply for some giant intracranial aneurysms (GIAs), and sometimes extracranial-to-intracranial (EC-IC) bypass becomes the optional choice. However, not all GIA patients can benefit from it. This study aims to recognize the underlying problems.
    METHODS: We included eligible patients in our care. Then, we researched from three levels: a retrospective review of clinical data, fluid-structural analysis from two representative patient-specific models, and fluid-structural interaction analysis for idealized models to investigate the hemodynamic and biomechanical mechanisms.
    RESULTS: In this article, we report nine patients with GIA who underwent EC-IC surgery. Of them, three experienced dangerous postoperative hemorrhage, and one patient died. Among these three patients, two lacked the A1 segment of the anterior cerebral artery (ACA). The numerical simulation showed that after surgery, for the patient with an unruptured aneurysm and existence of ACA, the wall deformation, wall stress, pressure, and area of the oscillatory shear index (OSI) > 0.2 were decreased by 43%, 39%, 33%, and 13%, while the patient without A1 segment having postoperative hemorrhage showed 36%, 45%, 13%, and 55% increased, respectively. Thus, we postulated a dangerous \"stump phenomenon\" in such conditions and further demonstrated it from idealized models with different sizes of ACA. Finally, we found a larger anastomosis angle and smaller diameter of the graft can alleviate this effect.
    CONCLUSIONS: Neurosurgeon should cautiously evaluate the opportunity and risk for such patients who have aplasia of the A1 segment of ACA when making clinical decisions.
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  • 文章类型: Journal Article
    目的:跨肢(CL)技术是一种常用的血管内治疗方法,用于解决腹主动脉瘤(AAA)患者的不利解剖特征。CL支架的结构在决定术后血流动力学特性和生理行为中起着至关重要的作用,最终影响血管内AAA治疗的疗效和安全性。本研究旨在从血液动力学角度探讨血液动力学与CL支架移植物构型之间的关系。
    方法:通过优化真实的临床计算机断层扫描血管造影(CTA)数据,构建了五个不同的跨肢(CL)支架移植物配置几何模型。这些模型的主体长度和交叉角各不相同,并用于进行数值模拟以分析各种血液动力学参数。流型,墙体剪应力(WSS)相关参数的分布,局部归一化螺旋度(LNH),压降,并对所有模型的位移力进行了检验。
    结果:在特定于患者的情况下,螺旋流和WSS随主体增加。然而,它还在局部区域产生二次流动,导致WSS方向的振荡增加。值得注意的是,增加支架移植物的主体长度或减小交叉角减少了施加在支架移植物上的位移力。减小交叉角不会显著改变血液动力学特征。
    结论:在CL部署的临床实践中,必须仔细考虑支架移植物的构型和患者的具体情况,以获得最佳的术后结局.这项研究为指导接受CL技术的腹主动脉瘤患者的支架选择和治疗计划提供了有价值的见解,从血液动力学的角度来看。
    OBJECTIVE: The cross-limb (CL) technique is a commonly used endovascular treatment for addressing unfavorable anatomical features in patients with abdominal aortic aneurysm (AAA). The configuration of CL stent-graft plays a critical role in determining the postoperative hemodynamic properties and physiological behaviors, which ultimately impact the efficacy and safety of endovascular AAA treatment. This study aims to investigate the relationship between hemodynamics and CL stent-graft configuration from a hemodynamic perspective.
    METHODS: Five distinct geometric models of cross-limb (CL) stent-graft configurations were constructed by optimizing the real clinical computed tomography angiography (CTA) data. These models varied in main body lengths and cross angles and were used to perform numerical simulations to analyze various hemodynamic parameters. Flow pattern, distribution of wall shear stress (WSS)-related parameters, localized normalized helicity (LNH), pressure drop, and the displacement force of all models were examined in this paper.
    RESULTS: In patient-specific cases, helical flow and WSS increase with the main body. However, it also generated secondary flow in localized areas, leading to increased oscillation in the WSS direction. Notably, increasing the stent graft\'s main body length or decreasing the cross angle reduced the displacement force exerted on the stent-graft. Reducing the cross angle did not significantly alter the hemodynamic characteristics.
    CONCLUSIONS: In the clinical practice of CL deployment, it is crucial to carefully consider the stent-graft configuration and the patient specific to achieve optimal postoperative outcomes. This study provides valuable insights for guiding stent selection and treatment planning in patients with abdominal aortic aneurysm undergoing CL techniques, from a hemodynamic perspective.
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  • 文章类型: Journal Article
    背景:在外部加载下,骨骼多孔结构中的流体剪切应力(FSS),如小梁或腔隙管腔,可以影响骨细胞的生物学反应。然而,很少有研究考虑了这两种腔。本研究调查了大鼠股骨松质骨中不同尺度的流体流动特征,以及骨质疏松症和负荷频率的影响。
    方法:3月龄SD大鼠分为正常组和骨质疏松组。建立了考虑小梁系统和腔隙系统的多尺度三维流固耦合有限元模型。施加频率为1、2和4Hz的循环位移载荷。
    结果:结果表明,小管上骨细胞粘附复合物周围的壁FSS高于骨细胞体上的FSS。在相同的负载条件下,骨质疏松组的壁FSS小于正常组。小梁孔中的流体速度和FSS与加载频率呈线性关系。同样,骨细胞周围的FSS也显示出负载频率依赖性现象。
    结论:对于骨质疏松性骨,高节奏的运动能有效提高骨细胞的FSS水平,即,用生理负荷扩大骨骼内的空间。这项研究可能有助于了解循环负荷下骨重建的过程,并为制定骨质疏松症治疗策略提供基础数据。
    Under external loading, the fluid shear stress (FSS) in the porous structures of bones, such as trabecular or lacunar-canalicular cavity, can influence the biological response of bone cells. However, few studies have considered both cavities. The present study investigated the characteristics of fluid flow at different scales in cancellous bone in rat femurs, as well as the effects of osteoporosis and loading frequency.
    Sprague Dawley rats (3 months old) were divided into normal and osteoporotic groups. A multiscale 3D fluid-solid coupling finite element model considering trabecular system and lacunar-canalicular system was established. Cyclic displacement loadings with frequencies of 1, 2, and 4 Hz were applied.
    Results showed that the wall FSS around the adhesion complexes of osteocyte on the canaliculi was higher than that on the osteocyte body. Under the same loading conditions, the wall FSS of the osteoporotic group was smaller than that of the normal group. The fluid velocity and FSS in trabecular pores exhibited a linear relationship with loading frequency. Similarly, the FSS around osteocytes also showed the loading frequency-dependent phenomenon.
    The high cadence in movement can effectively increase the FSS level on osteocytes for osteoporotic bone, i.e., expand the space within the bone with physiological load. This study might help in understanding the process of bone remodeling under cyclic loading and provide the fundamental data for the development of strategies for osteoporosis treatment.
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  • 文章类型: Journal Article
    空气吸收可能是衰减的重要来源,这应该在长时间宽带声学模拟中考虑。在这个短暂的贡献中,建立了三维波传播的时域模型,包括粘热效应和弛豫效应(空气吸收),并通过保守的能量框架与局部无功阻抗壁条件耦合。该模型采用时域有限差分法离散化,并利用离散能量平衡建立了数值稳定性。数值例子证明了所提出的方法。
    Air absorption can be a significant source of attenuation, which should be considered in long-duration wideband acoustics simulations. In this short contribution, a time-domain model for three-dimensional wave propagation including viscothermal and relaxation effects (air absorption) is developed and coupled with locally reactive impedance wall conditions through a conservative energy framework. The model is discretised with a finite-difference time-domain method, and numerical stability is established with a discrete energy balance. Numerical examples are presented to demonstrate the proposed method.
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