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学者姓名：刘有军
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Abstract ：
Rapid methods that can replace traditional inefficient computational fluid dynamics (CFD) for solving flow field are missing. We reconstructed three-dimensional (3D) coronary vascular tree models based on coronary computed tomography angiography (CCTA) images from 205 patients. Two fluid materials, blood and contrast agent, were mixed to simulate the flow field with concentration information under diverse boundary conditions, obtaining 2255 CFD simulations as deep learning samples. A dual-path physics-data multi-derived neural network (PDMNN) was designed, inputting geometric 3D point cloud and concentration information, respectively, and outputting 3D flow velocity field. Flow velocity in the coronary artery was clinically measured in 26 patients to verify the proposed PDMNN. For the 100 cases in a test set, the mean square error of the flow field velocity between the CFD calculations and the PDMNN predictions is 0.0309. However, the time taken by the PDMNN is significantly reduced (10 s VS 0.5 h). Clinically measured mean blood flow velocity and PDMNN predictions did not yield statistically significant differences (0.00 +/- 0.05 m/s, P > 0.05). The proposed PDMNN present excellent computation accuracy and efficiency, holding a significant technical value for the clinical and engineering application.
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| GB/T 7714 | Li, Bao , Sun, Hao , Yang, Yang et al. High performance neural network for solving coronary artery flow velocity field based on fluid component concentration [J]. | PHYSICS OF FLUIDS , 2025 , 37 (1) . |
| MLA | Li, Bao et al. "High performance neural network for solving coronary artery flow velocity field based on fluid component concentration" . | PHYSICS OF FLUIDS 37 . 1 (2025) . |
| APA | Li, Bao , Sun, Hao , Yang, Yang , Fan, Luyao , Li, Xueke , Liu, Jincheng et al. High performance neural network for solving coronary artery flow velocity field based on fluid component concentration . | PHYSICS OF FLUIDS , 2025 , 37 (1) . |
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Abstract ：
Superficial temporal artery and middle cerebral artery (STA-MCA) bypass surgery is an effective method to enhance cerebral blood flow (CBF) in ischemic patients. However, the effectiveness of various bypass techniques varies with the diversity of Circle of Willis (CoW) structures. This study aims to develop a physiologically realistic hemodynamic model to optimize STA-MCA bypass planning for cerebral ischemia patients with different CoW structures. This study developed a 0D-1D geometric multi-scale haemodynamic model that coupled the stenosis model and the cerebral autoregulation model. Based on this model, nine CoW structural models before and after end-to-side (E-S) and side-to-side (S-S) bypass were constructed, and their haemodynamic properties were calculated to evaluate the efficacy of different bypass methods in different CoW structures. The validity of the model and results was verified by clinical data. For the mRACA1, mRACA1-fRPCA1, and mACoA CoW structures, there was a risk of hyperperfusion (13.96%, 12.81%, and -2.64%) after E-S bypass but not S-S bypass. In the mACoA-mLPCoA structure, both bypass techniques posed hyperperfusion risk (112.41% and 30.57%). Other CoW structures showed that E-S bypass could restore CBF without the risk of hyperperfusion. The model's predictions were within 5% of clinical data. The mRACA1, mRACA1-fRPCA1, and mACoA structures were suitable for S-S bypass; the mACoA-mLPCoA structure was not suitable for bypass, and other CoW structures favored E-S bypass. The developed model can effectively simulate the cerebral hemodynamic environment and predict the risk of hyperperfusion, offering valuable insights for personalized bypass planning in cerebral ischemia patients.
Keyword ：
0D-1D model 0D-1D model superficial temporal artery-middle cerebral artery bypass superficial temporal artery-middle cerebral artery bypass circle of Willis circle of Willis cerebral ischaemia cerebral ischaemia cerebral blood flow cerebral blood flow
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| GB/T 7714 | Huang, Suqin , Li, Bao , Liu, Jincheng et al. Superficial Temporal Artery-Middle Cerebral Artery Bypass Treatment Planning for Cerebral Ischaemia Based on Multi-Scale Model [J]. | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING , 2025 , 41 (3) . |
| MLA | Huang, Suqin et al. "Superficial Temporal Artery-Middle Cerebral Artery Bypass Treatment Planning for Cerebral Ischaemia Based on Multi-Scale Model" . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 41 . 3 (2025) . |
| APA | Huang, Suqin , Li, Bao , Liu, Jincheng , Zhang, Liyuan , Sun, Hao , Zhang, Yanping et al. Superficial Temporal Artery-Middle Cerebral Artery Bypass Treatment Planning for Cerebral Ischaemia Based on Multi-Scale Model . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING , 2025 , 41 (3) . |
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Abstract ：
Background: Left ventricular assist device (LVAD) has been widely used as an alternative treatment for heart failure, however, aortic regurgitation is a common complication in patients with LVAD support. And the 0-A angle (the angle between LVAD outflow graft and the aorta) is considered as a vital factor associated with the function of aortic valve. To date, the biomechanical effect of the O-A angle on the aortic valve remains largely unknown. The aim of this study was to evaluate the 0-A angle how to influence the aortic valve biomechanical properties. Methods: The current study employed a novel fluid-structure interaction (FSI) model that integrates the Lattice Boltzmann method (LBM) and the finite element method (FEM) to investigate the biomechanical effect of the O-A angle on the aortic valve under LVAD support. The biomechanical status of the aortic valve was evaluated at three different O-A angles (45, 90 and 135 degrees) and. four indicators, including stress distribution, the mean stress, the axial hemodynamic force (AHF) and the wall shear stress (WSS) distribution were evaluated at three timepoints (28, 133, and 266 ms). Results: The results showed that the stress and the high-stress region on the aortic leaflets increased as the O-A angle increased and as the difference between the left ventricular pressure (LVP) and aortic pressure (AP) increased. And the aortic insufficiency was observed at the 28 ms (systolic phase) in the 135-degree 0-A angle. During the systolic phase, significant fluctuation in the mean stress was observed when the 0-A angle was 90 or 135 degrees. During the diastolic phase, the mean stress increased in the three O-A angle conditions when the difference between the LVP and AP increased. Regarding to the AHF, an obvious fluctuation was observed during the systolic phase (0-100 ms) in the 135-degree O-A angle. During the diastolic phase, the AHF increased in the three O-A angle conditions when the difference between the LVP and AP increased. For the WSS distribution evaluation, the WSS was increased when the O-A angle increased. At 28 ms (the systolic phase), a high WSS was located on the free edge of the leaflets, and the deformed leaflets were observed in the 135-degree 0-A angle. And at 133 ms (the rapid diastolic phase), a high WSS was observed at the free edge of the leaflets when the 0-A angles were 45 or 90 degrees, and at both free edge and belly of the leaflets in the 135-degree 0-A angle. Conclusions: The O-A angle is closely associated with the biomechanical status of the aortic valve under LVAD support. A large 0-A angle caused high stress and WSS on the aortic leaflets, as well as broad stress and WSS distribution, thus leading to deformed leaflets and retrograde flow. Therefore, optimization of the O-A angle will favor to maintain aortic valve function.
Keyword ：
O-A angle O-A angle left ventricular assist device (LVAD) left ventricular assist device (LVAD) Aortic valve Aortic valve fluid-structure interaction (FSI) fluid-structure interaction (FSI) biomechanics biomechanics
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| GB/T 7714 | Wang, Weining , Ren, Xiaoyu , Xue, Qinxin et al. The biomechanical effect of the O-A angle on the aortic valve under left ventricular assist device support: a primary fluid-structure interaction study [J]. | JOURNAL OF THORACIC DISEASE , 2024 , 16 (12) : 8620-8632 . |
| MLA | Wang, Weining et al. "The biomechanical effect of the O-A angle on the aortic valve under left ventricular assist device support: a primary fluid-structure interaction study" . | JOURNAL OF THORACIC DISEASE 16 . 12 (2024) : 8620-8632 . |
| APA | Wang, Weining , Ren, Xiaoyu , Xue, Qinxin , Sliman, Hussein , Gao, Bin , Li, Shu et al. The biomechanical effect of the O-A angle on the aortic valve under left ventricular assist device support: a primary fluid-structure interaction study . | JOURNAL OF THORACIC DISEASE , 2024 , 16 (12) , 8620-8632 . |
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Abstract ：
The purpose of the current study was to investigate the effects of left/right coronary artery flow distribution on calculation of fractional flow reserve derived from coronary computed tomography angiography (FFRct) in different dominant types. First, 195 patients were collected to count the distribution ratios of the three categories: right dominance (RD), balanced dominance (BD), and left dominance (LD). Ratios of diameters of the left/right coronary arteries (D-LCA:D-RCA) of the three types were calculated and used to represent the ratio of flow distribution (Q(LCA):Q(RCA)) in the dominant type method. The other method was known as the fixed ratio method (Q(LCA):Q(RCA) = 6:4). Second, a total of 73 patients with coronary artery disease (CAD) were enrolled for numerical calculation. A 0D/3D geometric multiscale model was used for the numerical simulation of FFR and the results of the fixed ratio method and the dominant type method were recorded as F-FFRct and D-FFRct. Lastly, invasive FFR(clinic-FFR)was used as a standard to evaluate the consistency and diagnostic performance of F-FFRct and D-FFRct. Corresponding flow distributions for the dominant type method were Q(LCA):Q(RCA) = 5:5 for RD, Q(LCA):Q(RCA) = 5.5:4.5 for BD, and Q(LCA):Q(RCA) = 6:4 for LD. D-FFRct showed a better correlation than F-FFRct (r = 0.85 vs. r = 0.81, both p < .001); the AUC (95%CI) were 0.974 (0.906-0.997, p < .0001) and 0.960 (0.886-0.992, p < .0001). Accuracy, specificity, sensitivity, positive predictive value (PPV) and negative predictive values (NPV) for D-FFRct and F-FFRct were 94.52%, 93.75%, 94.74%, 83.33%, 98.18% and 90.41%, 87.50%, 91.23%, 73.68%, 96.30%, respectively. Overall, the left/right coronary artery flow distribution was affected by the dominant type and the dominant type method was superior to the fixed ratio method in detecting coronary ischemic lesions.
Keyword ：
coronary artery dominance coronary artery dominance fractional flow reserve fractional flow reserve coronary artery disease coronary artery disease flow distribution flow distribution
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| GB/T 7714 | Wang, Xue , Liu, Jincheng , Li, Na et al. Left and right coronary artery blood flow distribution method based on dominant type [J]. | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING , 2023 , 39 (10) . |
| MLA | Wang, Xue et al. "Left and right coronary artery blood flow distribution method based on dominant type" . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 39 . 10 (2023) . |
| APA | Wang, Xue , Liu, Jincheng , Li, Na , Ma, Junling , Chen, Mingyan , Feng, Yili et al. Left and right coronary artery blood flow distribution method based on dominant type . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING , 2023 , 39 (10) . |
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Abstract ：
Low-voltage fast (LVF) seizure-onset is one of the two frequently observed temporal lobe seizure-onset patterns. Depth electroencephalogram profile analysis illustrated that the peak amplitude of LVF onset was deep temporal areas, e.g., hippocampus. However, the specific dynamic transition mechanisms between normal hippocampal rhythmic activity and LVF seizure-onset remain unclear. Recently, the optogenetic approach to gain control over epileptic hyper-excitability both in vitro and in vivo has become a novel noninvasive modulation strategy. Here, we combined biophysical modeling to study LVF dynamics following changes in crucial physiological parameters, and investigated the potential optogenetic intervention mechanism for both excitatory and inhibitory control. In an Ammon's horn 3 (CA3) biophysical model with light-sensitive protein channelrhodopsin 2 (ChR2), we found that the cooperative effects of excessive extracellular potassium concentration of parvalbumin-positive (PV+) inhibitory interneurons and synaptic links could induce abundant types of discharges of the hippocampus, and lead to transitions from gamma oscillations to LVF seizure-onset. Simulations of optogenetic stimulation revealed that the LVF seizure-onset and morbid fast spiking could not be eliminated by targeting PV+ neurons, whereas the epileptic network was more sensitive to the excitatory control of principal neurons with strong optogenetic currents. We illustrate that in the epileptic hippocampal network, the trajectories of the normal and the seizure state are in close vicinity and optogenetic perturbations therefore may result in transitions. The network model system developed in this study represents a scientific instrument to disclose the underlying principles of LVF, to characterize the effects of optogenetic neuromodulation, and to guide future treatment for specific types of seizures.
Keyword ：
Hippocampus Hippocampus Low-voltage fast seizure-onset Low-voltage fast seizure-onset Rhythmic oscillation Rhythmic oscillation Parvalbumin-positive inhibitory neurons Parvalbumin-positive inhibitory neurons Optogenetic stimulation Optogenetic stimulation
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| GB/T 7714 | Zhang, Liyuan , Ma, Zhiyuan , Yu, Ying et al. Examining the low-voltage fast seizure-onset and its response to optogenetic stimulation in a biophysical network model of the hippocampus [J]. | COGNITIVE NEURODYNAMICS , 2023 , 18 (1) : 265-282 . |
| MLA | Zhang, Liyuan et al. "Examining the low-voltage fast seizure-onset and its response to optogenetic stimulation in a biophysical network model of the hippocampus" . | COGNITIVE NEURODYNAMICS 18 . 1 (2023) : 265-282 . |
| APA | Zhang, Liyuan , Ma, Zhiyuan , Yu, Ying , Li, Bao , Wu, Shuicai , Liu, Youjun et al. Examining the low-voltage fast seizure-onset and its response to optogenetic stimulation in a biophysical network model of the hippocampus . | COGNITIVE NEURODYNAMICS , 2023 , 18 (1) , 265-282 . |
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Abstract ：
Bone has a special structure that is both stiff and elastic, and the composition of bone confers it with an exceptional mechanical property. However, bone substitute materials that are made of the same hydroxyapatite (HA) and collagen do not offer the same mechanical properties. It is important for bionic bone preparation to understand the structure of bone and the mineralization process and factors. In this paper, the research on the mineralization of collagen is reviewed in terms of the mechanical properties in recent years. Firstly, the structure and mechanical properties of bone are analyzed, and the differences of bone in different parts are described. Then, different scaffolds for bone repair are suggested considering bone repair sites. Mineralized collagen seems to be a better option for new composite scaffolds. Last, the paper introduces the most common method to prepare mineralized collagen and summarizes the factors influencing collagen mineralization and methods to analyze its mechanical properties. In conclusion, mineralized collagen is thought to be an ideal bone substitute material because it promotes faster development. Among the factors that promote collagen mineralization, more attention should be given to the mechanical loading factors of bone.
Keyword ：
bone bone biomaterial biomaterial collagen collagen biomechanics biomechanics mineralization mineralization
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| GB/T 7714 | Niu, Yumiao , Du, Tianming , Liu, Youjun . Biomechanical Characteristics and Analysis Approaches of Bone and Bone Substitute Materials [J]. | JOURNAL OF FUNCTIONAL BIOMATERIALS , 2023 , 14 (4) . |
| MLA | Niu, Yumiao et al. "Biomechanical Characteristics and Analysis Approaches of Bone and Bone Substitute Materials" . | JOURNAL OF FUNCTIONAL BIOMATERIALS 14 . 4 (2023) . |
| APA | Niu, Yumiao , Du, Tianming , Liu, Youjun . Biomechanical Characteristics and Analysis Approaches of Bone and Bone Substitute Materials . | JOURNAL OF FUNCTIONAL BIOMATERIALS , 2023 , 14 (4) . |
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Abstract ：
Aortic valve disease (AVD) often coexists with coronary artery disease (CAD), but whether and how the two diseases are correlated remains poorly understood. In this study, a zero-three dimensional (0-3D) multi-scale modeling method was developed to integrate coronary artery hemodynamics, aortic valve dynamics, coronary flow autoregulation mechanism, and systemic hemodynamics into a unique model system, thereby yielding a mathematical tool for quantifying the influences of aortic valve stenosis (AS) and aortic valve regurgitation (AR) on hemodynamics in large coronary arteries. The model was applied to simulate blood flows in six patient-specific left anterior descending coronary arteries (LADs) under various aortic valve conditions (i.e., control (free of AVD), AS, and AR). Obtained results showed that the space-averaged oscillatory shear index (SA-OSI) was significantly higher under the AS condition but lower under the AR condition in comparison with the control condition. Relatively, the overall magnitude of wall shear stress was less affected by AVD. Further data analysis revealed that AS induced the increase in OSI in LADs mainly through its role in augmenting the low-frequency components of coronary flow waveform. These findings imply that AS might increase the risk or progression of CAD by deteriorating the hemodynamic environment in coronary arteries.
Keyword ：
multi-scale modeling multi-scale modeling hemodynamics hemodynamics coronary artery disease coronary artery disease aortic valve disease aortic valve disease
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| GB/T 7714 | Li, Xuanyu , Simakov, Sergey , Liu, Youjun et al. The Influence of Aortic Valve Disease on Coronary Hemodynamics: A Computational Model-Based Study [J]. | BIOENGINEERING-BASEL , 2023 , 10 (6) . |
| MLA | Li, Xuanyu et al. "The Influence of Aortic Valve Disease on Coronary Hemodynamics: A Computational Model-Based Study" . | BIOENGINEERING-BASEL 10 . 6 (2023) . |
| APA | Li, Xuanyu , Simakov, Sergey , Liu, Youjun , Liu, Taiwei , Wang, Yue , Liang, Fuyou . The Influence of Aortic Valve Disease on Coronary Hemodynamics: A Computational Model-Based Study . | BIOENGINEERING-BASEL , 2023 , 10 (6) . |
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Abstract ：
本申请公开了一种基于神经血管耦合脑血流量预测系统，包括：结构连接矩阵生成模块，根据弥散张量成像数据得到结构连接矩阵；重新构建局部场电位模块，根据磁共振成像数据和头皮脑电数据建立局部场电位；功能连接矩阵生成模块，根据局部场电位生成功能连接矩阵；脑网络融合矩阵生成模块，将结构连接矩阵和功能矩阵融合生成脑网络融合矩阵；全脑逆向神经质量模型网络生成模块，建立单个逆向神经质量模型并形成全脑逆向神经质量模型网络；神经活动获取模块，根据逆向神经质量模型和局部场电位获取神经活动；脑血流量计算模块，神经活动输入到神经调控血流动力学系统得到脑血流量。通过本申请，提高脑血流量预测准确性，不会对检测对象造成伤害。
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| GB/T 7714 | 张丽媛 , 王同娜 , 刘有军 et al. 一种基于神经血管耦合脑血流量的预测系统 : CN202310580124.0[P]. | 2023-05-22 . |
| MLA | 张丽媛 et al. "一种基于神经血管耦合脑血流量的预测系统" : CN202310580124.0. | 2023-05-22 . |
| APA | 张丽媛 , 王同娜 , 刘有军 , 李鲍 . 一种基于神经血管耦合脑血流量的预测系统 : CN202310580124.0. | 2023-05-22 . |
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Abstract ：
Background and objectives A quick calculation approach of steady-state fractional flow reserve (FFRss) based on computed tomography angiography (CTA) images is a reliable non-invasive way of calculate FFR, the assumptions used in the research should be study further to increase forecast accuracy. The effect of inlet and outlet boundary conditions on FFRss was investigated. Methods 15 patients who had been diagnosed with coronary artery disease were enrolled in this study. We investigated the sensitivity of calculating FFR to boundary circumstances, using invasive FFR as a benchmark. There are two types of inlet: (1) aortic pressure based on clinically measured. (2) mean pressure calculated based on physiological formula; we further studied the outlet changes of FFRss under different coronary vasodilation responses (24%, 48%, 72%). Results According to the calculate FFR results of all patients, FFRSST (based on the clinical experiment) and FFRSSM (based on the physiological formula) {r = 0.99, [95% confidence interval (CI):0.0.94 to 1.14] (p < 0.001)}. Although the pressure difference between the two pressure boundary conditions is 15 mmHg, the calculated FFR result does not change significantly. The microcirculation resistance of the outlet gradually rose as the vasodilation state changed, and the computed FFR increased. Conclusions A numerical analysis of the effects of proximal and distal boundary constraints of computational models on computed CT-FFR is presented. The findings revealed that distal boundary circumstances (hyperemic vasodilation response of coronary micro-vessels) have a significant impact on FFR, providing evidence to guide the development and application of a computational model for estimating FFR.
Keyword ：
aortic pressure aortic pressure calculating FFR calculating FFR Coronary heart disease Coronary heart disease microcirculation resistance microcirculation resistance myocardial ischemia myocardial ischemia
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| GB/T 7714 | Liu, Jincheng , Huang, Suqin , Wang, Xue et al. On inlet pressure boundary conditions for CT-based computation of fractional flow reserve: clinical measurement of aortic pressure [J]. | COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING , 2022 , 26 (5) : 517-526 . |
| MLA | Liu, Jincheng et al. "On inlet pressure boundary conditions for CT-based computation of fractional flow reserve: clinical measurement of aortic pressure" . | COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING 26 . 5 (2022) : 517-526 . |
| APA | Liu, Jincheng , Huang, Suqin , Wang, Xue , Li, Bao , Ma, Junling , Sun, Yutong et al. On inlet pressure boundary conditions for CT-based computation of fractional flow reserve: clinical measurement of aortic pressure . | COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING , 2022 , 26 (5) , 517-526 . |
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Abstract ：
Objective: To explore the influence of the blood flow-diameter scaling laws of Q alpha D-3, Q alpha D-2.7 and Q alpha D-7/3 on the numerical simulation of fraction flow reserve based on CTA images and to find the optimal exponents. Methods: 1) 26 patients with coronary artery disease were screened according to the inclusion criteria; 2) Microcirculation resistance (R-m) was calculated under the 3, 2.7 and 7/3 power of the flow-diameter scaling law, which were recorded as 3R(m), 2.7R(m) and 7/3R(m), respectively; 3) 3R(m), 2.7R(m) and 7/3R(m) were used as exit boundary conditions to simulate FFRCT, quoted as 3FFRCT, 2.7FFRCT and 7/3FFRCT, respectively; 4) The correlation and diagnostic performance between three kinds of FFRCT and FFR were analyzed. Results: The p-values of comparing 3Rm, 2.7Rm and 7/3Rm with FFR were 0.004, 0.005 and 0.010, respectively; the r value between 7/3FFRCT and FFR (0.96) was better than that of 3FFRCT (0.95) and 2.7FFRCT (0.95); the 95% LoA between 7/3FFRCT and FFR (-0.08 similar to 0.11) was smaller than that of 3FFRCT (-0.10 similar to 0.12) and 2.7FFRCT (-0.09 similar to 0.11); the AUC and accuracy of 7/3FFRCT [0.962 (0.805-0.999), 96.15%] were the same as those of 2.7FFRCT [0.962 (0.805-0.999), 96.15%] and better than those of 3FFRCT [0.944 (0.777-0.996), 92.3%]. The prediction threshold of 7/3FFRCT (0.791) was closer to 0.8 than that of 3FFRCT (0.816) and 2.7FFRCT (0.787). Conclusion: The blood flow-diameter scaling law affects the FFRCT simulation by influencing the exit boundary condition R-m of the calculation. With Q alpha D-7/3, FFRCT had the highest diagnostic performance. The blood flow-diameter scaling law provides theoretical support for the blood flow distribution in the bifurcated vessel and improves the FFRCT model.
Keyword ：
0D/3D geometric multi-scale model 0D/3D geometric multi-scale model blood flow-diameter scaling law blood flow-diameter scaling law microcirculation resistance microcirculation resistance FFRCT FFRCT numerical calculation numerical calculation
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| GB/T 7714 | Li, Na , Li, Bao , Feng, Yili et al. Impact of coronary bifurcated vessels flow-diameter scaling laws on fractional flow reserve based on computed tomography images (FFRCT) [J]. | MATHEMATICAL BIOSCIENCES AND ENGINEERING , 2022 , 19 (3) : 3127-3146 . |
| MLA | Li, Na et al. "Impact of coronary bifurcated vessels flow-diameter scaling laws on fractional flow reserve based on computed tomography images (FFRCT)" . | MATHEMATICAL BIOSCIENCES AND ENGINEERING 19 . 3 (2022) : 3127-3146 . |
| APA | Li, Na , Li, Bao , Feng, Yili , Ma, Junling , Zhang, Liyuan , Liu, Jian et al. Impact of coronary bifurcated vessels flow-diameter scaling laws on fractional flow reserve based on computed tomography images (FFRCT) . | MATHEMATICAL BIOSCIENCES AND ENGINEERING , 2022 , 19 (3) , 3127-3146 . |
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