可控关闭体积心脏瓣膜模型
|
摘要
为了准确描述心脏瓣膜血流动力学特性及其在心血管系统中的应用,根据电液比拟,将其建模为1个变电阻和1个电流源并联然后和1个恒电感串联的瓣膜模型,并建立了左心循环系统的电路图及数学方程.并联元件把流经瓣膜的血流量分成2部分:流经瓣膜孔口的流量和瓣叶运动过程中排挤的血流量.流阻依赖瓣叶位置,另外给定符合关闭体积和时间的瓣叶关闭过程.以二尖瓣为例进行Matlab数值模拟,结果表明:该模型能准确模拟瓣膜关闭反流和泄漏体积的反流特性,正常情况下心脏每搏输出量63.60 m L,心输出量4.58 L/min,二尖瓣关闭体积为3.30 m L,二尖瓣泄漏体积为2.30 m L,反流分数为7.56%;反流病理条件下,二尖瓣关闭体积为14.70 m L,泄漏体积为25.40 m L,反流分数为40.48%.该模型可以模拟瓣膜正常功能和反流病理的血流动力学.
In order to accurately describe hemodynamics of heart valve and its application in the cardiovascular system,the heart valve as a variable resistor and a current source in parallel was modeled and then a constant inductance in series according to electric-liquid analogy. The governing equations of the left ventricular circulation were derived. The heart valve model divided the flow into two branches: flow through valve orifice and flow displaced by valve leaflets. The resistance depended on leaflet position and the heart valve closing motion was controlled with specified closing volume. For the mitral valve,Matlab was used to solve these equations to obtain circulation hemodynamics,which reflected the closing and leaking characteristics of the heart valve. The closing and leakage volumes were 3.30 m L and 2.30 m L,respectively,at stroke volume 63.60 m L or the normal cardiac output 4.58 L/min. The closing and leakage volumes were 14. 70 m L and 25. 40 m L,respectively,at the mitralregurgitation. This model can be used to simulate hemodynamics of the normal and regurgitated heart valve and thus arterial hemodynamics.
In order to accurately describe hemodynamics of heart valve and its application in the cardiovascular system,the heart valve as a variable resistor and a current source in parallel was modeled and then a constant inductance in series according to electric-liquid analogy. The governing equations of the left ventricular circulation were derived. The heart valve model divided the flow into two branches: flow through valve orifice and flow displaced by valve leaflets. The resistance depended on leaflet position and the heart valve closing motion was controlled with specified closing volume. For the mitral valve,Matlab was used to solve these equations to obtain circulation hemodynamics,which reflected the closing and leaking characteristics of the heart valve. The closing and leakage volumes were 3.30 m L and 2.30 m L,respectively,at stroke volume 63.60 m L or the normal cardiac output 4.58 L/min. The closing and leakage volumes were 14. 70 m L and 25. 40 m L,respectively,at the mitralregurgitation. This model can be used to simulate hemodynamics of the normal and regurgitated heart valve and thus arterial hemodynamics.
引文
[1] DRZEWIECKI G,WANG J J,LI J K J,et al. Modeling of mechanical dysfunction in regional stunned myocardium of the left ventricle[J]. IEEE transactions on biomedical engineering,1996,43(12):1151-1163.
[2] HELDT T,SHIM E B,KAMM R D,et al. Computational modeling of cardiovascular response to orthostatic stress[J]. Journal of applied physiology,2002,92(3):1239-1254.
[3] PENNATI G,BELLOTTI M,FUMERCO R. Mathematical modelling of the human foetal cardiovascular system based on doppler ultrasound data[J]. Medical engineering&physics,1997,19(4):327-335.
[4] VOLLKRON M, SHIMA H, HUBER L, et al.Interaction of the cardiovascular system with an implanted rotary assist device:simulation study with a refined computer model[J]. Artificial organs,2002,26(4):349-359.
[5] LEYH R G,SCHMIDTKE C,SIEVERS H H,et al.Opening and closing characteristics of the aortic valve after different types of valve-preserving surgery[J].Circulation,1999,100(21):2153-2160.
[6] SHI Yubing,TONY Y J,ZHAO Yong. Numerical simulation of a systemic flow test rig[J]. ASAIO journal,2004,50(1):54-64.
[7]成谢锋,陈鸿,姬汉贵,等.一种基于集总参数的心血管系统仿真模型及心音产生机理[J].中国科学信息科学,2014(9):1121-1139.CHENG Xiefeng,CHEN Hong,JI Hangui,et al. A simulation model of cardiovascular system based on lumped parameters and the mechanism of cardiac sound[J]. Scientia sinica information,2014(9):1121-1139.(in Chinese)
[8]温太阳,王芳群,王颢,等.基于二尖瓣时变电阻模型的左心血液循环系统建模与仿真[J].中国生物医学工程学报,2015,34(3):370-375.WEN Taiyang,WANG Fangqun,WANG Hao,et al.Modeling and simulation of left ventricular blood circulation system based on mitral valve varying time resistance model[J]. Chinese journal of biomedical engineering,2015,34(3):370-375.(in Chinese)
[9]张桂杰,王颢,荆腾,等.应用于零维左心血液循环的二尖瓣模型的研究[J].中国生物医学工程学报,2017,36(3):300-307.ZHANG Guijie, WANG Hao, JING Teng, et al.Research of mitral valve model of application to 0D left ventricular circulation system[J]. Chinese journal of biomedical engineering,2017,36(3):300-307.(in Chinese)
[10] SUGA H,SAGAWA K. Instantaneous pressure-volume relationships and their ratio in the excised,supported canine left ventricle[J]. Circulation,1974,35(1):117-126.
[11] MESSASE,GUERRERO J L,MARK H D,et al. Chordal cutting a new therapeutic approach for ischemic mitral regurgitation[J]. Circulation,2001,104(20):1958-1963.
[12]周冰晶,张桂杰,荆腾,等.心衰脉动过程两级轴流血泵溶血数值模拟[J].排灌机械工程学报,2018,36(1):28-34.ZHOU Bingjing,ZHANG Guijie,JING Teng,et al. Numerical simulationon hemolysis induced by two-stage axial-flow blood pump during pulsating heart failure[J].Journal of drainage and irrigation machinery engineering,2018,36(1):28-34.(in Chinese)
[13] MARWAN A S,ANTONIO F,CHEN S,et al. A dynamical state space representation and performance analysis of a feed back-controlled rotary left ventricular assist device[J]. IEEE transactions on biomedical engineering,2009,17(1):15-28.
[14] HE Zhaoming,ZHANG Kailiang,GAO Bo. A novel coaptation plate device for functional mitral regurgitation:an in vitro study[J]. Annals of biomedical engineering,2014,42(10):2039-2047.
[15] YOGANATHAN A P,HE Zhaoming,JONES S C. Fluid mechanics of heart valves[J]. Annual review of biomedical engineering,2004,6:331-362.
[16] HE Zhaoming,GAO Bo,BHATTACHARYA S,et al.In vitro stretches of the mitral valve anterior leaflet under edge-to-edge repair condition[J]. Journal of biomechanical engineering,2009,131:111012.
[2] HELDT T,SHIM E B,KAMM R D,et al. Computational modeling of cardiovascular response to orthostatic stress[J]. Journal of applied physiology,2002,92(3):1239-1254.
[3] PENNATI G,BELLOTTI M,FUMERCO R. Mathematical modelling of the human foetal cardiovascular system based on doppler ultrasound data[J]. Medical engineering&physics,1997,19(4):327-335.
[4] VOLLKRON M, SHIMA H, HUBER L, et al.Interaction of the cardiovascular system with an implanted rotary assist device:simulation study with a refined computer model[J]. Artificial organs,2002,26(4):349-359.
[5] LEYH R G,SCHMIDTKE C,SIEVERS H H,et al.Opening and closing characteristics of the aortic valve after different types of valve-preserving surgery[J].Circulation,1999,100(21):2153-2160.
[6] SHI Yubing,TONY Y J,ZHAO Yong. Numerical simulation of a systemic flow test rig[J]. ASAIO journal,2004,50(1):54-64.
[7]成谢锋,陈鸿,姬汉贵,等.一种基于集总参数的心血管系统仿真模型及心音产生机理[J].中国科学信息科学,2014(9):1121-1139.CHENG Xiefeng,CHEN Hong,JI Hangui,et al. A simulation model of cardiovascular system based on lumped parameters and the mechanism of cardiac sound[J]. Scientia sinica information,2014(9):1121-1139.(in Chinese)
[8]温太阳,王芳群,王颢,等.基于二尖瓣时变电阻模型的左心血液循环系统建模与仿真[J].中国生物医学工程学报,2015,34(3):370-375.WEN Taiyang,WANG Fangqun,WANG Hao,et al.Modeling and simulation of left ventricular blood circulation system based on mitral valve varying time resistance model[J]. Chinese journal of biomedical engineering,2015,34(3):370-375.(in Chinese)
[9]张桂杰,王颢,荆腾,等.应用于零维左心血液循环的二尖瓣模型的研究[J].中国生物医学工程学报,2017,36(3):300-307.ZHANG Guijie, WANG Hao, JING Teng, et al.Research of mitral valve model of application to 0D left ventricular circulation system[J]. Chinese journal of biomedical engineering,2017,36(3):300-307.(in Chinese)
[10] SUGA H,SAGAWA K. Instantaneous pressure-volume relationships and their ratio in the excised,supported canine left ventricle[J]. Circulation,1974,35(1):117-126.
[11] MESSASE,GUERRERO J L,MARK H D,et al. Chordal cutting a new therapeutic approach for ischemic mitral regurgitation[J]. Circulation,2001,104(20):1958-1963.
[12]周冰晶,张桂杰,荆腾,等.心衰脉动过程两级轴流血泵溶血数值模拟[J].排灌机械工程学报,2018,36(1):28-34.ZHOU Bingjing,ZHANG Guijie,JING Teng,et al. Numerical simulationon hemolysis induced by two-stage axial-flow blood pump during pulsating heart failure[J].Journal of drainage and irrigation machinery engineering,2018,36(1):28-34.(in Chinese)
[13] MARWAN A S,ANTONIO F,CHEN S,et al. A dynamical state space representation and performance analysis of a feed back-controlled rotary left ventricular assist device[J]. IEEE transactions on biomedical engineering,2009,17(1):15-28.
[14] HE Zhaoming,ZHANG Kailiang,GAO Bo. A novel coaptation plate device for functional mitral regurgitation:an in vitro study[J]. Annals of biomedical engineering,2014,42(10):2039-2047.
[15] YOGANATHAN A P,HE Zhaoming,JONES S C. Fluid mechanics of heart valves[J]. Annual review of biomedical engineering,2004,6:331-362.
[16] HE Zhaoming,GAO Bo,BHATTACHARYA S,et al.In vitro stretches of the mitral valve anterior leaflet under edge-to-edge repair condition[J]. Journal of biomechanical engineering,2009,131:111012.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |