finite element model

有限元模型
  • 文章类型: Journal Article
    为优化蜂窝结构的装配方式,增强其设计灵活性,这项研究调查了具有不同错位装配长度的串联蜂窝芯夹层结构的冲击力学响应。在单层和串联蜂窝芯三明治上进行了不同能量水平的冲击测试,以观察其冲击过程和破坏行为。我们的发现表明,与单层配置相比,串联蜂窝芯显著增强了抗冲击性,即使一个未对齐的组件可以恶化这个属性。建立了有限元模型,并进行了实验验证;该模型与实验显示出良好的一致性,从而允许模拟和评估冲击响应。在这里,我们发现特定的错位长度可以增加或减少抗冲击性,提供改善串联蜂窝芯结构弹性的见解。我们的研究结果不仅有助于提高蜂窝芯夹层结构的抗冲击性,而且为其在工程中的实际应用提供了有价值的基础。
    To optimize the assembly methods of honeycomb structures and enhance their design flexibility, this study investigated the impact mechanical responses of tandem honeycomb-core sandwich structures with varying misalignment assembly lengths. Impact tests were conducted across different energy levels on single-layer and tandem honeycomb-core sandwiches to observe their impact processes and failure behaviors. Our findings indicate that tandem honeycomb cores significantly enhance the impact resistance compared with single-layer configurations, even though a misaligned assembly can deteriorate this property. A finite element model was developed and validated experimentally; the model showed good agreement with the experiments, thereby allowing the simulation and evaluation of the impact responses. Herein, we reveal that specific misalignment lengths can either increase or decrease the impact resistance, providing insights into improving the resilience of tandem honeycomb-core structures. Our results not only contribute to enhancing the impact resistance of honeycomb-core sandwich structures but also offer a valuable basis for their practical applications in engineering.
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  • 文章类型: Journal Article
    压痕是评估不同材料的硬度及其弹性性能的通用方法。最近,已经开发出强大的方法来确定进一步的材料特性,比如屈服强度,极限抗拉强度,加工硬化率,甚至循环塑性特性,通过压痕测试和计算机模拟的组合。这些方法的基本思想是用已知的工艺参数模拟压痕,并迭代地优化最初未知的材料特性,直到达到数值和实验结果之间的最小误差。在这项工作中,我们已经开发了用于仪器压痕测试的协议和用于对实验数据进行反分析的程序,以获得随时间变化的粘塑性材料行为以及运动学和各向同性加工硬化的材料参数。我们假设弹性材料特性和初始屈服强度是已知的,因为这些值可以独立于压痕测试来确定。进行了两种优化策略,并比较了材料参数的识别。球形压痕的新反方法已成功应用于马氏体钢。
    Indentation is a versatile method to assess the hardness of different materials along with their elastic properties. Recently, powerful approaches have been developed to determine further material properties, like yield strength, ultimate tensile strength, work-hardening rate, and even cyclic plastic properties, by a combination of indentation testing and computer simulations. The basic idea of these approaches is to simulate the indentation with known process parameters and to iteratively optimize the initially unknown material properties until just a minimum error between numerical and experimental results is achieved. In this work, we have developed a protocol for instrumented indentation tests and a procedure for the inverse analysis of the experimental data to obtain material parameters for time-dependent viscoplastic material behavior and kinematic and isotropic work-hardening. We assume the elastic material properties and the initial yield strength to be known because these values can be determined independently from indentation tests. Two optimization strategies were performed and compared for identification of the material parameters. The new inverse method for spherical indentation has been successfully applied to martensitic steel.
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  • 文章类型: Journal Article
    植入骨小梁是骨科手术中的常见问题;然而,术前预测植入物沉降的能力仍然有限.当前用于预测沉降的最先进的计算模型存在解决此临床问题的问题,通常是由于现有特定主题的规模和复杂性,基于图像的有限元(FE)模型。当前的研究旨在开发一种简化的方法,用于对植入物穿透导致的特定小梁骨压痕进行FE建模。使用FE分析模拟了具有平尖和尖尖压头的人小梁骨的密闭压痕实验。使用无网格平滑粒子流体动力学(SPH)方法和各向同性可压碎泡沫(CF)材料模型开发了一种广义连续水平的方法,用于小梁骨标本。使用针对尸体标本校准的CF材料参数生成了五个FE模型,这些参数涵盖了一系列骨矿物质密度(BMD)。此外,开发了一种替代模型配置,包括考虑骨髓,根据实验标本的骨体积(BV%)测量结果,将骨和骨髓材料参数随机分配给元素,由于骨小梁组织微观结构的不均匀性。统计分析发现数值和实验力-位移曲线的形状之间存在显着相关性。FE模型准确地捕获了实验观察到的骨致密化模式。包含骨髓元素可改善平尖压头测试的反应预测。最终,所开发的方法证明了可推广的连续水平SPH方法使用临床骨成像指标捕获骨变异性的能力,而无需详细的基于图像的几何结构。朝着简化特定主题的植入物沉降建模迈出的重要一步。
    Implant subsidence into the underlying trabecular bone is a common problem in orthopaedic surgeries; however, the ability to pre-operatively predict implant subsidence remains limited. Current state-of-the-art computational models for predicting subsidence have issues addressing this clinical problem, often resulting from the size and complexity of existing subject-specific, image-based finite element (FE) models. The current study aimed to develop a simplified approach to FE modeling of subject-specific trabecular bone indentation resulting from implant penetration. Confined indentation experiments of human trabecular bone with flat- and sharp-tip indenters were simulated using FE analysis. A generalized continuum-level approach using a meshless smoothed particle hydrodynamics (SPH) approach and an isotropic crushable foam (CF) material model was developed for the trabecular bone specimens. Five FE models were generated with CF material parameters calibrated to cadaveric specimens spanning a range of bone mineral densities (BMD). Additionally, an alternative model configuration was developed that included consideration of bone marrow, with bone and marrow material parameters assigned to elements randomly according to bone volume (BV%) measurements of experimental specimens, owing to the non-uniform nature of trabecular bone tissue microstructure. Statistical analysis found significant correlation between the shapes of the numerical and experimental force-displacement curves. FE models accurately captured the bone densification patterns observed experimentally. Inclusion of marrow elements offered improved response prediction of the flat-tip indenter tests. Ultimately, the developed approach demonstrates the ability of a generalizable continuum-level SPH approach to capture bone variability using clinical bone imaging metrics without needing detailed image-based geometries, a significant step towards simplified subject-specific modeling of implant subsidence.
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  • 文章类型: Journal Article
    像其他齿科一样,Risso\的海豚在回声定位过程中主动发出咔嗒声并被动地聆听回声。然而,Risso\的海豚的头部解剖结构与其他牙体的不同之处在于,沿着前额前表面的独特垂直裂口和形状不同的下颌。在这项研究中,基于已故Risso\的海豚的CT数据,构建了3D有限元声音接收和产生模型。通过发现与听力灵敏度的实验测量结果良好的一致性,验证了我们的结果。此外,计算了声音从海水进入海豚鼓膜周波复合体(TPC)的声学路径。gular接收机制,以前在Delphinusdelphis和Ziphiuscavirostris发现,在这个物种中也发现了。在有和没有下颌脂肪或下颌骨的情况下,比较了TPC表面收到的声压级和相对位移。结果表明,下颌脂肪具有明显的导波作用,下颌骨的骨导体作用有限。对于声音制作建模,我们用邻近的软组织数字填充裂缝,创建一个假设的“无头”头。声音通过“无痕”头与之间的比较原始头部表明,独特的裂隙在生物声声传播中起着有限的作用。
    Like other odontocetes, Risso\'s dolphins actively emit clicks and passively listen to the echoes during echolocation. However, the head anatomy of Risso\'s dolphins differs from that of other odontocetes by a unique vertical cleft along the anterior surface of the forehead and a differently-shaped lower jaw. In this study, 3D finite-element sound reception and production models were constructed based on computed tomography (CT) data of a deceased Risso\'s dolphin. Our results were verified by finding good agreement with experimental measurements of hearing sensitivity. Moreover, the acoustic pathway for sounds to travel from the seawater into the dolphin\'s tympanoperiotic complexes (TPCs) was computed. The gular reception mechanism, previously discovered inDelphinus delphisandZiphius cavirostris, was also found in this species. The received sound pressure levels and relative displacement at TPC surfaces were compared between the cases with and without the mandibular fats or mandible. The results demonstrate a pronounced wave-guiding role of the mandibular fats and a limited bone-conductor role of the mandible. For sound production modelling, we digitally filled the cleft with neighbouring soft tissues, creating a hypothetical \'cleftless\' head. Comparison between sound travelling through a \'cleftless\' head vs. an original head indicates that the distinctive cleft plays a limited role in biosonar sound propagation.
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  • 文章类型: Journal Article
    研究和理解人脑轴突纤维在头部撞击过程中的生物力学运动学和动力学对于研究创伤性轴突损伤(TAI)的机制至关重要。这样的研究可能需要将脑纤维束明确地并入宿主脑中以区分轴突纤维和脑组织的机械状态。在这里,我们通过使用嵌入式元素方法扩展了我们先前开发的人体头部模型,以包括从宿主大脑中的扩散张量图像重建的纤维束,目的是在头部撞击模拟过程中数字跟踪轴突纤维束的变形状态。通过将其对颅内压的预测与实验数据进行比较,验证了更新后的模型。随后对用于纤维束的元素类型以及纤维与宿主大脑的刚度比的影响进行了彻底的研究。验证的模型还用于根据不同的损伤标准预测和可视化头部撞击过程中纤维束的受损区域。该模型在跟踪纤维束的状态方面很有前途,并且如果将来用于足球头盔等头部防护设备的设计优化,则可以添加更多的目标函数,例如轴突纤维变形。
    Investigating and understanding the biomechanical kinematics and kinetics of human brain axonal fibers during head impact process is crucial to study the mechanisms of Traumatic Axonal Injury (TAI). Such a study may require the explicit incorporation of brain fiber tracts into the host brain in order to distinguish the mechanical states of axonal fibers and brain tissue. Herein we extend our previously developed human head model by using an embedded element method to include fiber tracts reconstructed from diffusion tensor images in a host brain with the purpose of numerically tracking the deformation state of axonal fiber tracts during a head impact simulation. The updated model is validated by comparing its prediction of intracranial pressures with experimental data, followed by a thorough study of the effects of element types used for fiber tracts and the stiffness ratios of fiber to host brain. The validated model is also used to predict and visualize the damaged region of fiber tracts during the head impact process based on different injury criteria. The model is promising in tracking the state of fiber tracts and can add more objective functions such as axonal fiber deformation if used in the future design optimization of head protective equipment such as a football helmet.
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  • 文章类型: Journal Article
    研究人员已采用肺组织的微尺度模型来研究肺泡力学;然而,由于缺乏肺泡壁的生物材料特性,它们受到限制。为了应对这一挑战,建立了肺泡簇的有限元模型,该模型包括具有人类肺泡结构标称特征的四十面体阵列。在模型中通过规定压力和监测体积来模拟肺扩张,以产生可以与实验PV数据进行比较的压力-体积(PV)响应。优化模型中的肺泡壁特性,以匹配充满盐水的肺的实验性PV反应,消除表面张力效应并隔离肺泡壁组织反应。在单轴拉伸下模拟时,该模型与所报道的切除肺组织的单轴张力实验特性一致.本文介绍的工作能够将微尺度肺泡反应与两个不同的宏观实验数据集(肺的应力拉伸和PV反应)联系起来,并提出了肺泡壁的超弹性特性,用于肺泡尺度有限元模型和多尺度模型。未来的研究将纳入表面张力效应,并探讨肺泡损伤机制。
    Micro-scale models of lung tissue have been employed by researchers to investigate alveolar mechanics; however, they have been limited by the lack of biofidelic material properties for the alveolar wall. To address this challenge, a finite element model of an alveolar cluster was developed comprising a tetrakaidecahedron array with the nominal characteristics of human alveolar structure. Lung expansion was simulated in the model by prescribing a pressure and monitoring the volume, to produce a pressure-volume (PV) response that could be compared to experimental PV data. The alveolar wall properties in the model were optimized to match experimental PV response of lungs filled with saline, to eliminate surface tension effects and isolate the alveolar wall tissue response. When simulated in uniaxial tension, the model was in agreement with reported experimental properties of uniaxial tension on excised lung tissue. The work presented herein was able to link micro-scale alveolar response to two disparate macroscopic experimental datasets (stress-stretch and PV response of lung) and presents hyperelastic properties of the alveolar wall for use in alveolar scale finite element models and multi-scale models. Future research will incorporate surface tension effects, and investigate alveolar injury mechanisms.
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  • 文章类型: Journal Article
    通过使用有利于长期植入物稳定性的骨诱导性涂层改善骨整合,可以降低非骨水泥髋杆无菌性松动的风险。骨整合通常在体内研究中进行评估,which,然而,不要重现机械驱动的自适应过程。本研究旨在开发一个计算机模型来预测植入物骨整合和诱导的微动对长期稳定性的影响,包括用常规体内研究校准材料的骨诱导性。生成了用销钉植入的胫骨的有限元模型,利用植入兔胫骨的圆柱形钛合金的骨与种植体接触措施。使用有限状态机对骨骼和植入物之间的接触状态的演变进行建模,基于相对微动在每次迭代中更新接触状态,剪应力和拉伸应力,和骨骼到植入物的距离。通过识别最大可桥接间隙,用体内数据对模型进行校准。之后,模拟了推出试验,以预测引起销宏观移动的轴向载荷。骨植入物可桥接间隙的范围在50μm至80μm之间。根据最终的骨与植入物接触,预测的推出强度范围为19N至21N(5.4MPa-3.4MPa)。推出强度与先前动物研究的实验测量值一致(4±1MPa),使用相同的植入材料进行,涂层,或无涂层。该方法可以部分替代体内研究,并预测无骨水泥髋关节茎的长期稳定性。
    The risk of aseptic loosening in cementless hip stems can be reduced by improving osseointegration with osteoinductive coatings favoring long-term implant stability. Osseointegration is usually evaluated in vivo studies, which, however, do not reproduce the mechanically driven adaptation process. This study aims to develop an in silico model to predict implant osseointegration and the effect of induced micromotion on long-term stability, including a calibration of the material osteoinductivity with conventional in vivo studies. A Finite Element model of the tibia implanted with pins was generated, exploiting bone-to-implant contact measures of cylindrical titanium alloys implanted in rabbits\' tibiae. The evolution of the contact status between bone and implant was modeled using a finite state machine, which updated the contact state at each iteration based on relative micromotion, shear and tensile stresses, and bone-to-implant distance. The model was calibrated with in vivo data by identifying the maximum bridgeable gap. Afterward, a push-out test was simulated to predict the axial load that caused the macroscopic mobilization of the pin. The bone-implant bridgeable gap ranged between 50 μm and 80 μm. Predicted push-out strength ranged from 19 N to 21 N (5.4 MPa-3.4 MPa) depending on final bone-to-implant contact. Push-out strength agrees with experimental measurements from a previous animal study (4 ± 1 MPa), carried out using the same implant material, coated, or uncoated. This method can partially replace in vivo studies and predict the long-term stability of cementless hip stems.
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  • 文章类型: Journal Article
    碳纤维增强聚合物(CFRP)由于其优异的强度重量比,在实际应用中变得越来越重要。耐腐蚀性,和高刚度。这些特性使CFRP成为加固混凝土结构的理想材料,特别是在减肥至关重要的情况下,例如在桥梁和高层建筑中。CFRP的变革潜力在于它能够提高混凝土结构的耐久性和承载能力,同时最大限度地降低维护成本并延长基础设施的使用寿命。本研究探讨了用先进复合材料增强结构元件对混凝土和钢筋混凝土结构的强度和耐久性的影响。通过集成碳纤维增强聚合物(CFRP)增强材料,我们对矩形和T形截面混凝土梁进行了全面的三点弯曲试验,由于CFRP加固,抗弯强度和抗裂性大幅增加了45%。研究表明,CFRP加固使混凝土梁的抗弯强度提高了45%,抗裂能力得到了显着提高。此外,与未加固的试样相比,梁的承载能力提高了40%。这些改进通过有限元模拟得到了验证,这表明与实验数据密切相关。此外,在Abaqus计算代码中使用精细调整的有限元数值模型进行了创新的模拟研究。这个模型在形状上准确地复制了实验室标本,尺寸,和装载条件。模拟结果不仅验证了实验观察结果,而且还为加固梁的应力分布和破坏机理提供了更深入的见解。这项研究的新颖方面包括识别CFRP加固梁特有的特定破坏模式,以及引入增强的相互作用模型,该模型更准确地反映了在载荷下的复合材料行为。在CFRP加固梁中,确定了特定的故障模式,包括拉伸区的弯曲裂纹和CFRP板的剥离。这些模式表明了最大应力集中点和加固策略中的潜在弱点。研究表明,虽然CFRP显著提高了整体强度和刚度,必须仔细注意粘合过程和所用粘合剂的质量,以确保最佳性能。这些发现大大有助于理解材料的相互作用和结构性能,为复合钢筋混凝土结构的设计和优化提供了新的途径。这项研究强调了复合材料在提高混凝土基础设施的结构完整性和寿命方面的变革潜力。
    Carbon Fiber Reinforced Polymers (CFRP) have become increasingly significant in real-world applications due to their superior strength-to-weight ratio, corrosion resistance, and high stiffness. These properties make CFRP an ideal material for reinforcing concrete structures, particularly in scenarios where weight reduction is crucial, such as in bridges and high-rise buildings. The transformative potential of CFRP lies in its ability to enhance the durability and load-bearing capacity of concrete structures while minimizing maintenance costs and extending the lifespan of the infrastructure. This research explores the impact of reinforcing structural elements with advanced composite materials on the strength and durability of concrete and reinforced concrete structures. By integrating Carbon Fiber Reinforced Polymer (CFRP) reinforcements, we subjected both rectangular and T-section concrete beams to comprehensive three-point bending tests, revealing a substantial increase in flexural strength by 45% and crack resistance due to CFRP reinforcement. The study revealed that CFRP reinforcement increased the flexural strength of concrete beams by 45% and improved crack resistance significantly. Additionally, the load-bearing capacity of the beams was enhanced by 40% compared to unreinforced specimens. These improvements were validated through finite element simulations, which showed a close alignment with the experimental data. Furthermore, an innovative simulation study was conducted using a finely tuned finite element numerical model within the Abaqus calculation code. This model accurately replicated the laboratory specimens in terms of shape, dimensions, and loading conditions. The simulation results not only validated the experimental observations but also provided deeper insights into the stress distribution and failure mechanisms of the reinforced beams. Novel aspects of this study include the identification of specific failure patterns unique to CFRP-reinforced beams and the introduction of an enhanced interaction model that more accurately reflects the composite behavior under load. In CFRP-reinforced beams, specific failure patterns were identified, including flexural cracks in the tension zone and debonding of the CFRP sheets. These patterns indicate the points of maximum stress concentration and potential weaknesses in the reinforcement strategy. The study revealed that while CFRP significantly improves the overall strength and stiffness, careful attention must be given to the bonding process and the quality of the adhesive used to ensure optimal performance. These findings contribute significantly to the understanding of material interactions and structural performance, offering new pathways for the design and optimization of composite-reinforced concrete structures. This research underscores the transformative potential of composite materials in elevating the structural integrity and longevity of concrete infrastructures.
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  • 文章类型: Journal Article
    颈椎椎板成形术是一种针对退行性颈椎病(DCM)的既定运动保留程序。然而,与直棘或脊柱前凸的患者相比,先前存在颈椎后凸畸形的患者通常会经历较差的结局。减压后脊柱的脊髓背侧移位有限,脊髓张力增加可能导致神经功能恢复不良和脊髓损伤。本研究旨在使用经过验证的C2-T1脊柱3D有限元模型,量化颈椎矢状位对椎板成形术后脊髓应力和应变的生物力学影响。根据C2-C7Cobb角创建了三个模型:脊柱前凸(20度),直线(0度),和脊柱后凸(-9度)。在C4、C5和C6水平模拟开门椎板成形术,其次是生理颈部屈伸。结果表明,与所有颈椎段的直曲和前凸曲率相比,后凸曲率的脊髓应力和应变最高,尽管类似的分段ROM。在屈曲中,后凸棘的应力比前凸棘高103.3%,应变高128.9%,应力比直棘高16.7%,应变高26.8%。在延伸中,后凸棘的应力比前凸棘高135.4%,应变高241.7%,应力比直棘高21.5%,应变高43.2%。研究表明颈椎后凸畸形导致椎板成形术后脊髓应力和应变增加,强调除了减压以获得最佳患者结果外,还需要解决矢状面对齐问题。
    Cervical laminoplasty is an established motion-preserving procedure for degenerative cervical myelopathy (DCM). However, patients with pre-existing cervical kyphosis often experience inferior outcomes compared to those with straight or lordotic spines. Limited dorsal spinal cord shift in kyphotic spines post-decompression and increased spinal cord tension may contribute to poor neurological recovery and spinal cord injury. This study aims to quantify the biomechanical impact of cervical sagittal alignment on spinal cord stress and strain post-laminoplasty using a validated 3D finite element model of the C2-T1 spine. Three models were created based on the C2-C7 Cobb angle: lordosis (20 degrees), straight (0 degrees), and kyphosis (-9 degrees). Open-door laminoplasty was simulated at C4, C5, and C6 levels, followed by physiological neck flexion and extension. The results showed that spinal cord stress and strain were highest in kyphotic curvature compared to straight and lordotic curvatures across all cervical segments, despite similar segmental ROM. In flexion, kyphotic spines exhibited 103.3% higher stress and 128.9% higher strain than lordotic spines and 16.7% higher stress and 26.8% higher strain than straight spines. In extension, kyphotic spines showed 135.4% higher stress and 241.7% higher strain than lordotic spines and 21.5% higher stress and 43.2% higher strain than straight spines. The study shows that cervical kyphosis leads to increased spinal cord stress and strain post-laminoplasty, underscoring the need to address sagittal alignment in addition to decompression for optimal patient outcomes.
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  • 文章类型: Journal Article
    目的:青少年特发性脊柱侧凸是一种可能需要矫正手术的慢性疾病。有限元方法(FEM)是在基于患者的模型上计划手术结果的流行选择。然而,它需要相当多的计算能力和时间,这可能会阻碍它的使用。机器学习(ML)模型可以是FEM的有用代理,提供准确的实时响应。这项工作实现了ML算法来估计术后脊柱形状。
    方法:使用6400个模拟的特征对算法进行训练,这些模拟是使用64名患者脊柱几何形状的FEM生成的。使用自动编码器和主成分分析来选择特征。通过计算均方根误差以及每个椎骨的参考位置和预测位置之间的角度来评估结果的准确性。还报告了处理时间。
    结果:用于降维的主成分分析的组合,其次是线性回归模型,实时生成准确的结果,在所有主要3D轴上,平均位置误差为3.75mm,取向角误差低于2.74度,在3ms内。预测时间比单独基于FEM的模拟快得多,这需要几秒钟到几分钟。
    结论:通过使用ML算法作为FEM的替代,可以实时预测AIS患者的术后脊柱形状。临床医生可以比较AIS患者的初始脊柱形状对各种目标形状的反应,可以交互修改。这些好处可以鼓励临床医生使用软件工具进行脊柱侧凸的手术计划。
    OBJECTIVE: Adolescent idiopathic scoliosis is a chronic disease that may require correction surgery. The finite element method (FEM) is a popular option to plan the outcome of surgery on a patient-based model. However, it requires considerable computing power and time, which may discourage its use. Machine learning (ML) models can be a helpful surrogate to the FEM, providing accurate real-time responses. This work implements ML algorithms to estimate post-operative spinal shapes.
    METHODS: The algorithms are trained using features from 6400 simulations generated using the FEM from spine geometries of 64 patients. The features are selected using an autoencoder and principal component analysis. The accuracy of the results is evaluated by calculating the root-mean-squared error and the angle between the reference and predicted position of each vertebra. The processing times are also reported.
    RESULTS: A combination of principal component analysis for dimensionality reduction, followed by the linear regression model, generated accurate results in real-time, with an average position error of 3.75 mm and orientation angle error below 2.74 degrees in all main 3D axes, within 3 ms. The prediction time is considerably faster than simulations based on the FEM alone, which require seconds to minutes.
    CONCLUSIONS: It is possible to predict post-operative spinal shapes of patients with AIS in real-time by using ML algorithms as a surrogate to the FEM. Clinicians can compare the response of the initial spine shape of a patient with AIS to various target shapes, which can be modified interactively. These benefits can encourage clinicians to use software tools for surgical planning of scoliosis.
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