Noninvasive numerical simulation of coronary fractional flow reserve based on lattice Boltzmann method_Journal of Biomedical Engineering

Authors：

LIU Rongting ¹ , YANG Qingqing ¹ ,  QIAO Aike ¹ , HOU Yang ² , MA Yue ²

1. College of Life Science and Bioengineering, Beijing University of Technology, Beijing 100124, P.R.China;
2. Shengjing Hospital of China Medical University, Shenyang 110001, P.R.China;

Corresponding author：

QIAO Aike, Email: qak@bjut.edu.cn

Keywords：

fractional flow reserve; lattice Boltzmann method; numerical simulation; computational of fluid dynamics

DOI：

10.7507/1001-5515.201710034

Video：

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Abstract Full text Figures/Tables Video References Cited by

In order to investigate the application of lattice Boltzmann method (LBM) in the numerical simulation of computed tomography angiography-derived fractional flow reserve (FFR_CT), an idealized narrowed tube model and two coronary stenosis arterymodels are studied. Based on the open source code library (Palabos), the relative algorithm program in the development environment (Codeblocks) was improved. Through comparing and analyzing the results of FFR_CT which is simulated by LBM and finite element analysis software ANSYS, and the feasibility of the numerical simulation of FFR_CT by LBM was verified . The results show that the relative error between the results of LBM and finite element analysis software ANSYS is about 1%, which vertifies the feasibility of simulating the coronary FFR_CT by LBM. The simulation of this study provides technical support for developing future FFR_CT application software, and lays the foundation for the calculation of clinical FFR_CT.

Citation： LIU Rongting, YANG Qingqing, QIAO Aike, HOU Yang, MA Yue. Noninvasive numerical simulation of coronary fractional flow reserve based on lattice Boltzmann method. Journal of Biomedical Engineering, 2018, 35(3): 384-389. doi: 10.7507/1001-5515.201710034 Copy

1.	Rizvi A, Hartaigh B Ó, Knaapen P, et al. Rationale and design of the CREDENCE trial: computed TomogRaphic evaluation of atherosclerotic DEtermiNants of myocardial IsChEmia. BMC Cardiovasc Disord, 2016, 16(1): 190.
2.	Pijls N H, van Son J A, Kirkeeide R L, et al. Experimental basis of determining maximum coronary, myocardial, and collateral blood flow by pressure measurements for assessing functional stenosis severity before and after percutaneous transluminal coronary angioplasty. Circulation, 1993, 87(4): 1354-1367.
3.	Pijls N H, de Bruyne B, Peels K, et al. Measurement of fractional flow reserve to assess the functional severity of coronary-artery stenoses. N Engl J Med, 1996, 334(26): 1703-1708.
4.	刘亚斌, 韩雅玲, 荆全民, 等. 4 种无创性检查及其组合对冠心病诊断的辅助作用研究. 中国实用内科杂志, 2011, 31(12): 930-933.
5.	Pijls N H, Tanaka N, Fearon W F. Functional assessment of coronary stenoses: can we live without it? Eur Heart J, 2013, 34(18): 1335-1344.
6.	Pijls N H. Fractional flow reserve to guide coronary revascularization. Circ J, 2013, 77(3): 561-569.
7.	Pijls N H, van Gelder B, van der Voort P, et al. Fractional flow reserve. a useful index to evaluate the influence of an epicardial coronary stenosis on myocardial blood flow. Circulation, 1995, 92(11): 3183.
8.	Bruyne B D, Baudhuin T, Melin J A, et al. Coronary flow reserve calculated from pressure measurements in humans. Validation with positron emission tomography. Circulation, 1994, 89(3): 1013-1022.
9.	Kleiman N S. Bringing it all together integration of physiology with anatomy during cardiac catheterization. J Am Coll Cardiol, 2011, 58(12): 1219-1221.
10.	侯映映. 冠状动脉狭窄的血流储备分数有限元分析研究. 北京: 北京工业大学, 2015.
11.	Kruggel-Emden H, Kravets B, Suryanarayana M K, et al. Direct numerical simulation of coupled fluid flow and heat transfer for single particles and particle packings by a LBM-approach. Powder Technology, 2016, 294(16): 236-251.
12.	Yan Y Y, Zu Y Q, Dong B O. LBM, a useful tool for mesoscale modelling of single-phase and multiphase flow. Applied Thermal Engineering, 2011, 31(5, SI): 649-655.
13.	Kuwata Y, Suga K. Imbalance-correction grid-refinement method for lattice Boltzmann flow simulations. J Comput Phys, 2016, 311(15): 348-362.
14.	Yoshino M, Murayama T. A lattice Boltzmann method for a two-phase flow containing solid bodies with viscoelastic membranes. Eur Phys J Spec Top, 2009, 171(1): 151-157.
15.	Mokhtar N H, Abas A, Razak N A, et al. Effect of different stent configurations using Lattice Boltzmann method and particles image velocimetry on artery bifurcation aneurysm problem. J Theor Biol, 2017, 433: 73-84.
16.	张明子, 刘有军, 谢进生, 等. 基于格子 Boltzmann 方法的体肺分流术血流动力学几何多维度数值研究. 医用生物力学, 2013, 28(06): 642-647.
17.	乔爱科, 侯映映, 侯阳. 冠状动脉狭窄几何构型对血流储备分数影响的有限元分析. 中国生物医学工程学报, 2015, 34(02): 198-203.
18.	初博, 乔爱科. 搭桥术治疗 DeBakey Ⅲ型主动脉夹层的流固耦合数值模拟. 医用生物力学, 2012, 27(04): 386-391.
19.	Sun Anqiang, Fan Yubo, Deng Xiaoyan. Numerical study of hemodynamics at coronary bifurcation with and without swirling flow//6th World Congress of Biomechanics(WBC), Singapore, 2010: 1428-1430.
20.	Qiao A, Yang Q, Yang H, Yue M. An approach to noninvasive fractional flow reserve calculation with a patient-specific pressure-flow boundary condition//5th International Conference on Computational and Mathematical Biomedical Engineering (CMBE), USA: Pittsburgh, 2017.
21.	Qiao A, Yang Q, Yang H, et al. A research of patient-specific flow boundary condition in noninvasive coronary fractional flow reserve//8th International Conference on Computational Methods (ICCM), Guilin, 2017: 25-29.
22.	陈曦, 蒋文涛, 樊瑜波, 等. 药物洗脱支架连接筋对流场和浓度场影响的血流动力学数值研究. 航天医学与医学工程, 2010, 23(06): 440-444.
23.	Ouared R, Chopard B. Lattice boltzmann simulations of blood flow: non-Newtonian rheology and clotting processes. J Stat Phys, 2005, 121(1/2): 209-221.
24.	Qian Y H. D’Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters, 1992, 17(6): 479.
25.	张坤. 格子 Boltzmann 方法多松弛模型局部网格加密算法研究. 济南: 山东大学, 2017.

1. Rizvi A, Hartaigh B Ó, Knaapen P, et al. Rationale and design of the CREDENCE trial: computed TomogRaphic evaluation of atherosclerotic DEtermiNants of myocardial IsChEmia. BMC Cardiovasc Disord, 2016, 16(1): 190.
2. Pijls N H, van Son J A, Kirkeeide R L, et al. Experimental basis of determining maximum coronary, myocardial, and collateral blood flow by pressure measurements for assessing functional stenosis severity before and after percutaneous transluminal coronary angioplasty. Circulation, 1993, 87(4): 1354-1367.
3. Pijls N H, de Bruyne B, Peels K, et al. Measurement of fractional flow reserve to assess the functional severity of coronary-artery stenoses. N Engl J Med, 1996, 334(26): 1703-1708.
4. 刘亚斌, 韩雅玲, 荆全民, 等. 4 种无创性检查及其组合对冠心病诊断的辅助作用研究. 中国实用内科杂志, 2011, 31(12): 930-933.
5. Pijls N H, Tanaka N, Fearon W F. Functional assessment of coronary stenoses: can we live without it? Eur Heart J, 2013, 34(18): 1335-1344.
6. Pijls N H. Fractional flow reserve to guide coronary revascularization. Circ J, 2013, 77(3): 561-569.
7. Pijls N H, van Gelder B, van der Voort P, et al. Fractional flow reserve. a useful index to evaluate the influence of an epicardial coronary stenosis on myocardial blood flow. Circulation, 1995, 92(11): 3183.
8. Bruyne B D, Baudhuin T, Melin J A, et al. Coronary flow reserve calculated from pressure measurements in humans. Validation with positron emission tomography. Circulation, 1994, 89(3): 1013-1022.
9. Kleiman N S. Bringing it all together integration of physiology with anatomy during cardiac catheterization. J Am Coll Cardiol, 2011, 58(12): 1219-1221.
10. 侯映映. 冠状动脉狭窄的血流储备分数有限元分析研究. 北京: 北京工业大学, 2015.
11. Kruggel-Emden H, Kravets B, Suryanarayana M K, et al. Direct numerical simulation of coupled fluid flow and heat transfer for single particles and particle packings by a LBM-approach. Powder Technology, 2016, 294(16): 236-251.
12. Yan Y Y, Zu Y Q, Dong B O. LBM, a useful tool for mesoscale modelling of single-phase and multiphase flow. Applied Thermal Engineering, 2011, 31(5, SI): 649-655.
13. Kuwata Y, Suga K. Imbalance-correction grid-refinement method for lattice Boltzmann flow simulations. J Comput Phys, 2016, 311(15): 348-362.
14. Yoshino M, Murayama T. A lattice Boltzmann method for a two-phase flow containing solid bodies with viscoelastic membranes. Eur Phys J Spec Top, 2009, 171(1): 151-157.
15. Mokhtar N H, Abas A, Razak N A, et al. Effect of different stent configurations using Lattice Boltzmann method and particles image velocimetry on artery bifurcation aneurysm problem. J Theor Biol, 2017, 433: 73-84.
16. 张明子, 刘有军, 谢进生, 等. 基于格子 Boltzmann 方法的体肺分流术血流动力学几何多维度数值研究. 医用生物力学, 2013, 28(06): 642-647.
17. 乔爱科, 侯映映, 侯阳. 冠状动脉狭窄几何构型对血流储备分数影响的有限元分析. 中国生物医学工程学报, 2015, 34(02): 198-203.
18. 初博, 乔爱科. 搭桥术治疗 DeBakey Ⅲ型主动脉夹层的流固耦合数值模拟. 医用生物力学, 2012, 27(04): 386-391.
19. Sun Anqiang, Fan Yubo, Deng Xiaoyan. Numerical study of hemodynamics at coronary bifurcation with and without swirling flow//6th World Congress of Biomechanics(WBC), Singapore, 2010: 1428-1430.
20. Qiao A, Yang Q, Yang H, Yue M. An approach to noninvasive fractional flow reserve calculation with a patient-specific pressure-flow boundary condition//5th International Conference on Computational and Mathematical Biomedical Engineering (CMBE), USA: Pittsburgh, 2017.
21. Qiao A, Yang Q, Yang H, et al. A research of patient-specific flow boundary condition in noninvasive coronary fractional flow reserve//8th International Conference on Computational Methods (ICCM), Guilin, 2017: 25-29.
22. 陈曦, 蒋文涛, 樊瑜波, 等. 药物洗脱支架连接筋对流场和浓度场影响的血流动力学数值研究. 航天医学与医学工程, 2010, 23(06): 440-444.
23. Ouared R, Chopard B. Lattice boltzmann simulations of blood flow: non-Newtonian rheology and clotting processes. J Stat Phys, 2005, 121(1/2): 209-221.
24. Qian Y H. D’Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters, 1992, 17(6): 479.
25. 张坤. 格子 Boltzmann 方法多松弛模型局部网格加密算法研究. 济南: 山东大学, 2017.

Journal of Biomedical Engineering

Noninvasive numerical simulation of coronary fractional flow reserve based on lattice Boltzmann method

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