三维非定常水的跨血管壁流动与大分子的跨血管壁传质

黄浩; 温功碧

三维非定常水的跨血管壁流动与大分子的跨血管壁传质

黄浩,
温功碧

北京大学力学与工程科学系湍流与复杂系统研究国家重点实验室北京 100871

基金项目: 国家自然科学基金资助项目(19732003)

详细信息

作者简介:
黄浩(1972- ),男,湖北人,硕士;温功碧(1935- ),女,四川人,教授(E-mail:wengb@mech.pku.edu.cn).

中图分类号: R318.01
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出版历程
- 收稿日期: 2000-08-03
- 修回日期: 2001-05-08
- 刊出日期: 2001-10-15

A New Unsteady Three Dimensional Model for Macromolecular Transport and Water Filtration Across the Arterial Wall

Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence and Complicated System Research, Peking University, Beijing 100871, P R China

摘要

摘要: 对水的跨血管壁流动与大分子的跨血管对流-扩散传质提出一个统一的三维非定常模型。研究了内皮细胞在转换过程中形成漏的缝隙后的大分子跨壁传质,其浓度随时间的增长,内皮细胞截面形状对浓度分布的影响及生理参数对浓度分布的影响。采用解析方法求出了水跨壁流动的速度场与压力场的分析解:根据以前学者对血管壁的超微结构研究,将血管壁分为4层,用数值模拟方法求解了低密度脂蛋白(LDL)、血清白蛋白(albumin)以及辣根过氧化酶(HRP)三种大分子在各层的浓度分布。结果表明,随着时间的增长,在不同时刻,低剪切流中内皮细胞截面形状接近圆形时,大分子在漏的缝隙处浓度大小和分布范围,都大于高剪切流中内皮细胞截面被拉长时的情形:弹性层厚度等参数显著地影响传质:浓度分布随时间的增长与轴对称结果类似,即漏的缝隙处有一明显的浓度尖峰,在两侧浓度迅速减少,浓度尖峰值和浓度分布的范围随着时间的增长而降低与变小。这些结果对了解动脉粥样硬化形成的机理有重要意义。
- 非定常三维模型 /
- 跨血管的流动 /
- 大分子传质 /
- 动脉粥样硬化 /
- 浓度分布
Abstract: A new unsteady three-dimensional convective-diffusive mathematical model for the transportation of macromolecules and water across the arterial wall was proposed .After the formation of leaky junctions due to the mitosis of endothelial cell of the arterial wall,the macromolecular transport happens surrounding the leaky cells.The arterial wall was divided into four layers:the endothelial layer,the subendothelial intima,the internal elastic lamina and the media for the convenience of research.The time-dependent concentration growth,the effect of the shape of endothelial cell and the effect of physiological parameters were analyzed.The analytical solution of velocity field and pressure field of water flow across the arterial wall were obtained;and concentration distribution of three macromolecules;LDL,HRP and Albumin,were calculated with numerical simulation method.The new theory predicts,the maximum and distribution areas of time-dependent concentration with roundshape endothelial cell are both larger than that with ellipse-shape endothelial cell.The model also predicts the concentration growth is much alike that of a two-dimensional model and it shows that the concentration reaches its peak at the leaky junction where atherosclerotic formation frequently occurs and falls down rapidly in a limited area beginning from its earlier-time growth to the state when macromolecular transfer approaches steadily.These predictions of the new model are in agreement with the experimental abservation for the growth and concentration distribution of LDL and Albumin.
- unsteady three-dimensional model /
- flow across the arterial wall /
- macromolecular transportation /
- atherosclerosis /
- concentration distribution

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参考文献(26)

[1]	温功碧.动脉粥样硬化成因和大分子跨血管的传质[J].力学进展,1993,23(2):223-233.
[2]	Caro C G,Fitz-Gerald J M,Schroter R C.Arterial wall sheer and distribution of early atheroma in man[J].Nature(Lond),1969,223(5211):1159-1161.
[3]	Fry D L,Cornhill J F,Sharma H,et al.Uptake of low density lipoprotein,albumin and water by deendothelialized in vitro minipig aorta[J].Arteriosclerosis,1989,6:475-490.
[4]	Stemerman M B,Morrel Em,Durke K R,et al.Local variation in arterial wall permeability to low density lipoprotein in normal rabbit aorta[J].Arteriosclerosis,1986,6(1):64-69.
[5]	Chien S,Lin S,Weinbaum S,et al.The role of arterial endothelial cell mitosis in macromolecular permeability[J].Advances in Experimental Medicine &Biology,1988,242:59-73.
[6]	Lin S,Jan K M,Schuessler G,et al.Enhanced macromolecular permeability of aortic endothelial cells in association with mitosis[J].Atherosclerosis,1988,73(2,3):223-232.
[7]	Chuang P,Cheng J,Lin S,et al.Macromolecular transport across arterial and venous endothelium in rats:studies with evans blue-albumin and horseradish peroxidase[J].Arteriosclerosis,1990,10(2):188-197.
[8]	Weinbaum S,Tzeghai G,Ganatos P,et al.Effect of cell turnover and leaky junctions on arterial macromolecular transport[J].Am J Physiol,1985,248(6):H945-H960.
[9]	温功碧,Weinbaum S,Ganatos P,et al.大分子跨血管壁的非定常扩散--模型和观察[J].力学学报,1989,21(3):290-299.
[10]	Weinbaum S,Ganatos P,Pfeffer R,et al.On the time-dependent diffusion of macromolecules through transient open junctions and their subendothelial spread 1 short-time model for cleft exit region[J].J Theor Biol,1988,135(1):1-30.
[11]	Fry D L,Cornhill J F,Sharma H,et al.Uptake for low density lipoprotein,albumin,and water by deendothelialized in vitro minipig aorta[J].Arteriosclerosis,1986,6(5):475-490.
[12]	Campbell G J,Roach M R.Fenestrations in the internal elastic lamina at bifurcations of human cerebral arteries[J].Stroke,1981,12(4):1,489-496.
[13]	Song S H,Roach M R.Quantitative changes in the size of fenestrations of elastic laminae of sheep thoracic aorta studied with SEM1[J].Blood Vessels,1983,20(3):145-153.
[14]	Yuan F,Chien S,Weinbaum S.A new view of convective-diffusive transport processes in the arterial intima[J].J Biomech Eng,1991,113(3):314-329.
[15]	温功碧,姚大康.关于水和大分子跨血管壁传质问题的一个统一的数学模型[J].中国生物医学工程学报,1994,13(1):54-66.
[16]	Huang Y,Rumschitzki D,Chien S,et al.A fiber matrix model for the growth of macromolecular leakage spots in the arterial intima[J].J Biomech Eng,1994,116(4):430-445.
[17]	Truskey G A,Roberts W L,Herrmann R A,et al.Measurement of endothelial permeability to125 I-low density lipoproteins in rabbit arteries by use of en face preparations[J].Circulation Research,1992,71(4):883-897.
[18]	Lark M W,Yeo T,Mar T,et al.Arterial chondroitin sulfate proteoglycan;localization with a monoclonal antibody[J].The J Histochemistry and Cytochemistry,1988,36(10):1211-1221.
[19]	Wen G B,Feng J J.A three dimensional convective-diffusive model for the transportation of macromolecules and water across the arterial wall[J].Chinese J Mechanics Press,1995,11(3):267-274.
[20]	忻孝康,刘儒勋,蒋伯诚.计算流体动力学[M].长沙:国防科技大学出版社,1989,220-251.
[21]	徐萃薇.计算方法引论[M].北京:高等教育出版社,1985,239-283.
[22]	Anderson D A,Tannehill J C,Pletcher R H.Computational Fluid Mechanical and Heat Transfer[M].New York:Press Roman,1984,247-255.
[23]	Tzeghai G,Ganatos P,Pfeffer R,et al.A theoretical model to study the effect of convection and leaky junctions on macromolecule transport in artery walls[J].J Theor Biol,1986,121(2):141-162.
[24]	Wen G B,Weinbaum S,Ganatos P,et al.On the time-dependent diffusion of macromolecules through transient open junctions and their subendothelial spread,2 long-time model for interaction between leakage sites[J].J Theor Biol,1988,135(2):219-253.
[25]	Vargas C B,Vargas F F,Pribyl J G,et al.Hydraulic conductivity of the endothelial and outer layers of the rabbit aotra[J].Am J Physiol,1979,236(1):H53-H60.
[26]	Nerem R M,Levesque M J,Cornhill J F,et al.Vascular endothelial morphology as an indicator of blood flow[J].Biomech Eng,1981,103(3):172-176.