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The ocular mathematical virtual simulator: A validated multiscale model for hemodynamics and biomechanics in the human eye 眼数学虚拟模拟器:人眼血流动力学和生物力学的验证多尺度模型。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-22 DOI: 10.1002/cnm.3791
Lorenzo Sala, Christophe Prud'homme, Giovanna Guidoboni, Marcela Szopos, Alon Harris

We present our continuous efforts from a modeling and numerical viewpoint to develop a powerful and flexible mathematical and computational framework called Ocular Mathematical Virtual Simulator (OMVS). The OMVS aims to solve problems arising in biomechanics and hemodynamics within the human eye. We discuss our contribution towards improving the reliability and reproducibility of computational studies by performing a thorough validation of the numerical predictions against experimental data. The OMVS proved capable of simulating complex multiphysics and multiscale scenarios motivated by the study of glaucoma. Furthermore, its modular design allows the continuous integration of new models and methods as the research moves forward, and supports the utilization of the OMVS as a promising non-invasive clinical investigation tool for personalized research in ophthalmology.

我们从建模和数值的角度提出了我们的持续努力,以开发一个强大而灵活的数学和计算框架,称为眼数学虚拟模拟器(OMVS)。OMVS旨在解决人眼生物力学和血流动力学中出现的问题。我们通过对实验数据的数值预测进行彻底验证,讨论了我们对提高计算研究的可靠性和可重复性的贡献。事实证明,由青光眼研究驱动的OMVS能够模拟复杂的多物理场和多尺度场景。此外,其模块化设计允许随着研究的进展不断集成新的模型和方法,并支持将OMVS作为一种有前途的非侵入性临床研究工具用于眼科个性化研究。
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引用次数: 0
Experimental and numerical investigation of the stenosed coronary artery taken from the clinical setting and modeled in terms of hemodynamics 冠状动脉狭窄的实验和数值研究取自临床环境,并根据血流动力学建模。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-16 DOI: 10.1002/cnm.3793
Fatin Sonmez, Sendogan Karagoz, Orhan Yildirim, Ilker Firat

The study was carried out to investigate the effect of the artery with different pulse values and stenosis rates on the pressure drop, the peristaltic pump outlet pressure, fractional flow reserve (FFR) and most importantly the amount of power consumed by the peristaltic pump. For this purpose, images taken from the clinical environment were produced as models (10 mm inlet diameter) with 0% and 70% percent areal stenosis rates (PSR) on a three-dimensional (3D) printer. In the experimental system, pure water was used as the fluid at 54, 84, 114, 132, and 168 bpm pulse values. In addition, computational fluid dynamics (CFD) analyzes of the test region were performed using experimental boundary conditions with the help of ANSYS-Fluent software. The findings showed that as PSR increases in the arteries, the pressure drop in the stenosis region increases and this amount increases dramatically with increasing effort. An increase of approximately 40% was observed in the pump outlet pressure value from 54 bpm to 168 bpm in the PSR 0% model and 51% increase in the PSR 70% model. It has been observed that the pump does more work to overcome the increased pressure difference due to increased pulse rate and PSR. With the effect of contraction, the power consumption of the pump increased from 9.2% for 54 bpm to 13.8% for 168 bpm. In both models, the Wall Shear Stress (WSS) increased significantly. WSS increased abruptly in the stenosis and arcuate regions, while sudden decreases were observed in the flow separation region.

研究不同脉冲值和狭窄率的动脉对压降、蠕动泵出口压力、分流流量储备(FFR)以及蠕动泵耗电量的影响。为此,从临床环境中拍摄的图像在三维(3D)打印机上制作为0%和70%面积狭窄率(PSR)的模型(入口直径10 mm)。在实验系统中,纯水作为流体,在54,84,114,132和168 bpm的脉冲值下。此外,利用ANSYS-Fluent软件,利用实验边界条件对试验区进行计算流体力学(CFD)分析。结果表明,随着动脉内PSR的增加,狭窄区域的压降也随之增加,并且随着用力的增加,压降的幅度也显著增加。在PSR为0%的模型中,泵出口压力值从54 bpm增加到168 bpm,增加了约40%,在PSR为70%的模型中增加了51%。已经观察到,由于脉冲速率和PSR的增加,泵需要做更多的工作来克服压力差的增加。由于收缩的影响,泵的功耗从54 bpm时的9.2%增加到168 bpm时的13.8%。在两种模型中,壁面剪切应力(WSS)均显著增大。狭窄区和弓形区WSS突然增加,流动分离区WSS突然减少。
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引用次数: 0
Generation of synthetic aortic valve stenosis geometries for in silico trials 人工合成主动脉瓣狭窄几何形状的生成。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-14 DOI: 10.1002/cnm.3778
Sabine Verstraeten, Martijn Hoeijmakers, Pim Tonino, Jan Brüning, Claudio Capelli, Frans van de Vosse, Wouter Huberts

In silico trials are a promising way to increase the efficiency of the development, and the time to market of cardiovascular implantable devices. The development of transcatheter aortic valve implantation (TAVI) devices, could benefit from in silico trials to overcome frequently occurring complications such as paravalvular leakage and conduction problems. To be able to perform in silico TAVI trials virtual cohorts of TAVI patients are required. In a virtual cohort, individual patients are represented by computer models that usually require patient-specific aortic valve geometries. This study aimed to develop a virtual cohort generator that generates anatomically plausible, synthetic aortic valve stenosis geometries for in silico TAVI trials and allows for the selection of specific anatomical features that influence the occurrence of complications. To build the generator, a combination of non-parametrical statistical shape modeling and sampling from a copula distribution was used. The developed virtual cohort generator successfully generated synthetic aortic valve stenosis geometries that are comparable with a real cohort, and therefore, are considered as being anatomically plausible. Furthermore, we were able to select specific anatomical features with a sensitivity of around 90%. The virtual cohort generator has the potential to be used by TAVI manufacturers to test their devices. Future work will involve including calcifications to the synthetic geometries, and applying high-fidelity fluid–structure-interaction models to perform in silico trials.

在硅试验是一种很有前途的方法,以提高开发效率,并加快心血管植入式装置的上市时间。经导管主动脉瓣植入术(TAVI)装置的发展,可能受益于硅试验,以克服常见的并发症,如瓣旁渗漏和传导问题。为了能够进行计算机TAVI试验,需要TAVI患者的虚拟队列。在虚拟队列中,个体患者由计算机模型代表,通常需要患者特定的主动脉瓣几何形状。本研究旨在开发一个虚拟队列生成器,为计算机TAVI试验生成解剖学上合理的合成主动脉瓣狭窄几何形状,并允许选择影响并发症发生的特定解剖特征。为了构建生成器,采用了非参数统计形状建模和从联结分布中采样相结合的方法。开发的虚拟队列生成器成功生成了与真实队列相当的合成主动脉瓣狭窄几何形状,因此被认为在解剖学上是合理的。此外,我们能够以90%左右的灵敏度选择特定的解剖特征。虚拟队列发生器有潜力被TAVI制造商用来测试他们的设备。未来的工作将包括将钙化纳入合成几何形状,并应用高保真的流体-结构-相互作用模型进行硅试验。
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引用次数: 0
Chemotherapy and adjuvant therapies' impact on the internal remodeling process of bone and its mechanical behavior for breast cancer patients 化疗和辅助治疗对乳腺癌患者骨内部重塑过程及其力学行为的影响。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-13 DOI: 10.1002/cnm.3788
Imane Ait Oumghar, Abdelwahed Barkaoui, Tarek Merzouki, Daphne Guenoun, Patrick Chabrand

Breast cancer is a significant public health issue affecting women worldwide. While advancements in treatment options have led to improved survival rates, the impact of breast cancer and its treatments on bone health cannot be overlooked. Bone remodeling is a complex process regulated by the delicate balance between bone formation and resorption. Any disruption to this balance can lead to decreased bone density, increased fracture risk, and compromised physical function. To investigate the effects of breast cancer and its treatments on bone remodeling, a finite element model was developed in this study. This model incorporated bone remodeling equations to simulate the mechanical behavior of bone under different conditions. The ABAQUS/UMAT software was used to simulate the behavior of bone tissue under the influence of breast cancer and treatments. Our findings suggest that bone loss is more pronounced after secondary breast cancer and treatment, leading to bone loss (6%–19% decrease in BV/TV), reduced bone stimulation, and decreased effectiveness of physical activity on recovery. These results highlight the importance of early intervention and management of bone health in breast cancer patients to mitigate the negative impact of cancer and treatment on bone remodeling.

乳腺癌是影响全世界妇女的一个重大公共卫生问题。虽然治疗方案的进步提高了生存率,但乳腺癌及其治疗对骨骼健康的影响不容忽视。骨重塑是一个复杂的过程,受骨形成和骨吸收之间微妙平衡的调节。任何对这种平衡的破坏都会导致骨密度降低,骨折风险增加,身体功能受损。为了研究乳腺癌及其治疗对骨重塑的影响,本研究建立了一个有限元模型。该模型采用骨重塑方程来模拟骨在不同条件下的力学行为。采用ABAQUS/UMAT软件模拟乳腺癌及治疗对骨组织的影响。我们的研究结果表明,继发性乳腺癌和治疗后骨质流失更为明显,导致骨质流失(BV/TV下降6%-19%),骨刺激减少,体力活动对恢复的效果下降。这些结果强调了早期干预和管理乳腺癌患者骨骼健康的重要性,以减轻癌症和治疗对骨重塑的负面影响。
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引用次数: 0
Efficient nonlinear homogenization of bones using a cluster-based model order reduction technique 使用基于聚类的模型降阶技术对骨骼进行有效的非线性均匀化。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-09 DOI: 10.1002/cnm.3784
Xiaozhe Ju, Chenbin Zhou, Junbo Liang, Weiming Tao, Lihua Liang, Yangjian Xu

We present a reduced order model for efficient nonlinear homogenization of bones, accounting for strength difference effects and containing some well-known plasticity models (like von Mises or Drucker-Prager) as special cases. The reduced order homogenization is done by using a cluster-based model order reduction technique, called cluster-based nonuniform transformation field analysis. For an offline phase, a space–time decomposition is performed on the mesoscopic plastic strain fields, while a clustering analysis is employed for a spatial decomposition of the mesoscale RVE model. A volumetric-deviatoric split is additionally introduced to capture the enriched characteristics of the mesoscopic plastic strain fields. For an online analysis, the reduced order model is formulated in a unified minimization problem, which is compatible with a large variety of material models. Both cortical and trabecular bones are considered for numerical experiments. Compared to conventional FE-based RVE computations, the developed reduced order model renders a considerable acceleration rate beyond 103, while maintaining a sufficient accuracy level.

我们提出了一个用于骨骼有效非线性均匀化的降阶模型,考虑了强度差异效应,并包含一些著名的塑性模型(如von Mises或Drucker Prager)作为特例。降阶均匀化是通过使用基于聚类的模型降阶技术来完成的,称为基于聚类的非均匀变换场分析。对于离线阶段,对细观塑性应变场进行时空分解,而对中尺度RVE模型的空间分解采用聚类分析。此外,还引入了体积偏裂来捕捉介观塑性应变场的丰富特征。对于在线分析,降阶模型被公式化为统一的最小化问题,该问题与多种材料模型兼容。皮质骨和小梁骨都被考虑用于数值实验。与传统的基于有限元的RVE计算相比,所开发的降阶模型具有相当大的加速率,超过10 3$${10}^3$$,同时保持足够的精度水平。
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引用次数: 0
Efficient approximation of cardiac mechanics through reduced-order modeling with deep learning-based operator approximation 通过基于深度学习的算子逼近的降阶建模实现心脏力学的高效逼近。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-11-03 DOI: 10.1002/cnm.3783
Ludovica Cicci, Stefania Fresca, Andrea Manzoni, Alfio Quarteroni

Reducing the computational time required by high-fidelity, full-order models (FOMs) for the solution of problems in cardiac mechanics is crucial to allow the translation of patient-specific simulations into clinical practice. Indeed, while FOMs, such as those based on the finite element method, provide valuable information on the cardiac mechanical function, accurate numerical results can be obtained at the price of very fine spatio-temporal discretizations. As a matter of fact, simulating even just a few heartbeats can require up to hours of wall time on high-performance computing architectures. In addition, cardiac models usually depend on a set of input parameters that are calibrated in order to explore multiple virtual scenarios. To compute reliable solutions at a greatly reduced computational cost, we rely on a reduced basis method empowered with a new deep learning-based operator approximation, which we refer to as Deep-HyROMnet technique. Our strategy combines a projection-based POD-Galerkin method with deep neural networks for the approximation of (reduced) nonlinear operators, overcoming the typical computational bottleneck associated with standard hyper-reduction techniques employed in reduced-order models (ROMs) for nonlinear parametrized systems. This method can provide extremely accurate approximations to parametrized cardiac mechanics problems, such as in the case of the complete cardiac cycle in a patient-specific left ventricle geometry. In this respect, a 3D model for tissue mechanics is coupled with a 0D model for external blood circulation; active force generation is provided through an adjustable parameter-dependent surrogate model as input to the tissue 3D model. The proposed strategy is shown to outperform classical projection-based ROMs, in terms of orders of magnitude of computational speed-up, and to return accurate pressure-volume loops in both physiological and pathological cases. Finally, an application to a forward uncertainty quantification analysis, unaffordable if relying on a FOM, is considered, involving output quantities of interest such as, for example, the ejection fraction or the maximal rate of change in pressure in the left ventricle.

减少高保真度全阶模型(FOM)解决心脏力学问题所需的计算时间,对于将针对患者的模拟转化为临床实践至关重要。事实上,虽然FOM,例如基于有限元方法的FOM,提供了关于心脏机械功能的有价值的信息,但可以以非常精细的时空离散化为代价获得准确的数值结果。事实上,在高性能计算架构上,即使只模拟几次心跳也可能需要长达数小时的壁时间。此外,心脏模型通常依赖于一组经过校准的输入参数,以探索多个虚拟场景。为了以大大降低的计算成本计算可靠的解,我们依赖于一种新的基于深度学习的算子近似的降基方法,我们称之为deep-HyROMnet技术。我们的策略将基于投影的POD Galerkin方法与深度神经网络相结合,用于逼近(归约)非线性算子,克服了与非线性参数化系统的降阶模型(ROM)中使用的标准超归约技术相关的典型计算瓶颈。这种方法可以为参数化的心脏力学问题提供极其精确的近似,例如在患者特定的左心室几何形状中的完整心动周期的情况下。在这方面,用于组织力学的3D模型与用于外部血液循环的0D模型相耦合;通过可调节的参数相关替代模型作为组织3D模型的输入来提供主动力生成。所提出的策略在计算加速的数量级方面优于经典的基于投影的ROM,并且在生理和病理情况下都能返回准确的压力-体积循环。最后,考虑了前向不确定性量化分析的应用,如果依赖FOM,则无法负担,涉及感兴趣的输出量,例如射血分数或左心室压力的最大变化率。
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引用次数: 0
Orthodontic force/torque modeling and experiment of Kitchon root-controlled auxiliary archwire Kitchon根控辅助弓丝的正畸力/力矩建模及实验研究。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-10-29 DOI: 10.1002/cnm.3789
Liang Yao, Jingang Jiang, Yongde Zhang, Jingchao Wang, Shan Zhou, Yi Liu

The incidence of oral malocclusion is increasing and is seriously damaging the oral health of human beings. The Kitchon root-controlled auxiliary archwire is an individualized orthodontic arch. It is used clinically for the treatment of tooth-lingual tilt/root-lip tilt phenomenon of the central incisors. However, the bending parameters of the Kitchon root-controlled auxiliary archwire used in different patients are based on the clinical experience of the dentists. Therefore, this orthodontic treatment has a high risk and unpredictability. In this paper, the loading performance and orthodontic process of Kitchon root-controlled auxiliary archwire are analyzed. And the prediction model of support resistance and correction torque are established. The bending parameters of the Kitchon root-controlled auxiliary archwire, as well as the effect of the bending parameters on the support resistance and the correction torque, are all quantified. And the prediction models for the support resistance and the correction torque are calculated separately. The correlation coefficients of calculated data and experimental data are ξT1 > .97 and ξA1 > .96, respectively; the correlation coefficients of simulated data and experimental data are ξT2 > .96 and ξA2 > .96, respectively. The accuracy and reliability of the established prediction models are verified. It provides an effective theoretical guide for dentists to safely and efficiently perform root-controlled rotation orthodontic treatment on patients' central incisors.

口腔错牙合的发病率正在增加,并严重损害人类的口腔健康。Kitchon根控辅助弓丝是一种个性化的正畸弓。它在临床上用于治疗中切牙的齿舌倾斜/根唇倾斜现象。然而,不同患者使用的Kitchon根控辅助弓丝的弯曲参数是基于牙医的临床经验。因此,这种正畸治疗具有很高的风险和不可预测性。本文对Kitchon根控辅助弓丝的受力性能和正畸过程进行了分析。并建立了支撑阻力和修正力矩的预测模型。对Kitchon根控辅助弓丝的弯曲参数以及弯曲参数对支撑阻力和矫正力矩的影响进行了量化。并分别计算了支撑阻力和修正力矩的预测模型。计算数据与实验数据的相关系数为ξT1 > .97和ξA1 > .96;模拟数据与实验数据的相关系数为ξT2 > .96和ξA2 > .96。验证了所建立预测模型的准确性和可靠性。为牙医安全有效地对患者中切牙进行牙根控制旋转正畸治疗提供了有效的理论指导。
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引用次数: 0
An automatic reduction method of 3D bone fragments based on a novel section contour point descriptor 一种基于新型截面轮廓点描述符的三维骨碎片自动约简方法。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-10-27 DOI: 10.1002/cnm.3786
Song Zhang, Qifeng Wang, Qiming Cao, Zhe Li, Liang Yang, Bin Liu

Comminuted fractures are orthopedic traumas with greater surgical difficulty. In clinical treatment, a great challenge is precise reduction of multiple broken bone fragments; Another great challenge is personalized and precise internal fixation after reduction. For these two issues, we designed an automated method framework for precise reduction and internal fixation of comminuted fractures. First, the Gaussian mixture model (GMM) is used to distinguish section points and noise points in a broken bone model; Second, ellipse fitting is carried out to achieve section points matching and a descriptor is proposed to describe the section features; Then, the Convolution Auto-Encoder (CAE) and genetic algorithm are used to extract feature vectors; Finally, after broken bone models registration, internal fixed plate can be reconstructed. Three verification experiments for comminuted bone fracture show this method has high accuracy and good efficiency. It can provide support for minimally invasive treatment for comminuted fractures.

粉碎性骨折是骨科创伤,手术难度较大。在临床治疗中,一个巨大的挑战是精确减少多个骨折碎片;另一个巨大的挑战是复位后个性化和精确的内固定。针对这两个问题,我们设计了一个用于粉碎性骨折精确复位和内固定的自动化方法框架。首先,使用高斯混合模型(GMM)来区分骨折模型中的截面点和噪声点;其次,通过椭圆拟合实现截面点匹配,并提出了描述截面特征的描述符;然后,利用卷积自动编码器(CAE)和遗传算法提取特征向量;最后,在骨折模型配准后,可以重建内固定板。三个粉碎性骨折的验证实验表明,该方法准确率高,效率高。它可以为粉碎性骨折的微创治疗提供支持。
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引用次数: 0
Deep learning methods for blood flow reconstruction in a vessel with contrast enhanced x-ray computed tomography 基于增强x射线计算机断层扫描的血管血流重建的深度学习方法。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-10-25 DOI: 10.1002/cnm.3785
Huang Shusong, Sigovan Monica, Sixou Bruno

The reconstruction of blood velocity in a vessel from contrast enhanced x-ray computed tomography projections is a complex inverse problem. It can be formulated as reconstruction problem with a partial differential equation constraint. A solution can be estimated with the a variational adjoint method and proper orthogonal decomposition (POD) basis. In this work, we investigate new inversion approaches based on PODs coupled with deep learning methods. The effectiveness of the reconstruction methods is shown with simulated realistic stationary blood flows in a vessel. The methods outperform the reduced adjoint method and show large speed-up at the online stage.

从对比度增强的x射线计算机断层扫描投影重建血管中的血流速度是一个复杂的反问题。它可以被表述为具有偏微分方程约束的重构问题。用变分伴随法和适当的正交分解(POD)基可以估计一个解。在这项工作中,我们研究了基于POD和深度学习方法的新反演方法。通过模拟血管中真实的静止血流,显示了重建方法的有效性。该方法优于约简伴随方法,在在线阶段表现出较大的加速性。
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引用次数: 0
Computational evaluation of heart failure and continuous flow left ventricular assist device support in anaemia 贫血中心力衰竭和持续流左心室辅助装置支持的计算评估。
IF 2.1 4区 医学 Q1 Mathematics Pub Date : 2023-10-10 DOI: 10.1002/cnm.3781
Selim Bozkurt

Anaemia is common in end-stage heart failure patients supported with continuous flow left ventricular assist device (CF-LVAD) and is associated with adverse outcomes such as heart failure readmission. This study evaluates the haemodynamic effects of anaemia on cardiac function and cerebral blood flow in heart failure patients supported with CF-LVAD using computational simulations. A dynamic model simulating cardiac function, systemic, pulmonary and cerebral circulations, cerebral flow autoregulatory mechanisms and gas contents in blood was used to evaluate the effects of anaemia and iron deficiency in heart failure and during CF-LVAD support. CF-LVAD therapy was simulated by a model describing HeartMate 3. Anaemia and iron deficiency were simulated by reducing the haemoglobin level from 15 to 9 g/dL and modifying scaling coefficients in the models simulating heart chamber volumes. Reduced haemoglobin levels decreased the arterial O2 content, which increased cerebral blood flow rate by more than 50% in heart failure and during CF-LVAD assistance. Reduced haemoglobin levels simulating anaemia had minimal effect on the arterial and atrial blood pressures and ventricular volumes. In contrast, iron deficiency increased end-diastolic left and right ventricular diameters in heart failure from 6.6 cm to 7 cm and 2.9 cm to 3.1 cm and during CF-LVAD support from 6.1 to 6.4 cm and 3.1 to 3.3 cm. The developed numerical model simulates the effects of anaemia in failing heart and during CF-LVAD therapy. It is in good agreement with clinical data and can be utilised to assess CF-LVAD therapy.

贫血在使用持续流左心室辅助装置(CF-LVAD)支持的终末期心力衰竭患者中很常见,并与心力衰竭再次入院等不良后果有关。本研究使用计算模拟评估了CF-LVAD支持的心力衰竭患者贫血对心功能和脑血流的血液动力学影响。使用模拟心脏功能、体循环、肺循环和脑循环、脑血流自动调节机制和血液中气体含量的动态模型来评估贫血和缺铁在心力衰竭和CF-LVAD支持期间的影响。CF-LVAD治疗通过描述HeartMate 3的模型来模拟。通过将血红蛋白水平从15降低到9来模拟贫血和缺铁 g/dL以及修改模拟心室容积的模型中的缩放系数。血红蛋白水平的降低降低了动脉O2含量,这使心力衰竭和CF-LVAD辅助期间的脑血流量增加了50%以上。模拟贫血的血红蛋白水平降低对动脉和心房血压以及心室容积的影响最小。相反,缺铁使心力衰竭患者舒张末期左心室和右心室直径从6.6增加 厘米至7 厘米和2.9 厘米至3.1 cm,在从6.1到6.4的CF-LVAD支持期间 厘米和3.1至3.3 所开发的数值模型模拟了贫血在心力衰竭和CF-LVAD治疗期间的影响。它与临床数据非常一致,可用于评估CF-LVAD治疗。
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引用次数: 0
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International Journal for Numerical Methods in Biomedical Engineering
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