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姚伟 沈烨良 丁光宏. 骨间膜组织间隙流场的三维数值模拟[J]. 力学学报, 2010, 42(2): 191-196. DOI:10.6052/0459-1879-2010-2-2008-587
引用本文: 姚伟 沈烨良 丁光宏. 骨间膜组织间隙流场的三维数值模拟[J]. 力学学报, 2010, 42(2): 191-196.DOI:10.6052/0459-1879-2010-2-2008-587
Wei Yao, Yeliang Shen, Guanghong Ding. On three-dimensional numerical simulation of interstitial fluid flow of inter osseous membrane[J]. Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 191-196. DOI:10.6052/0459-1879-2010-2-2008-587
Citation: Wei Yao, Yeliang Shen, Guanghong Ding. On three-dimensional numerical simulation of interstitial fluid flow of inter osseous membrane[J].Chinese Journal of Theoretical and Applied Mechanics, 2010, 42(2): 191-196.DOI:10.6052/0459-1879-2010-2-2008-587

骨间膜组织间隙流场的三维数值模拟

On three-dimensional numerical simulation of interstitial fluid flow of inter osseous membrane

  • 摘要:根据解剖学发现的人体小腿骨间膜血管和胶原纤维有序排列的特点,建立三维组织间隙液渗流模型,控制方程用Brinkman方程和连续性方程,使用Fluent软件进行数值模拟. 计算结果显示,组织液在组织间隙中流动的方向总体是与平行毛细血管的方向相一致的;组织间隙多孔率会影响速度的分布,当多孔率增加时,空间的速度趋于均匀,从而使得最大速度变小,正常生理范围内多孔率的改变对于组织液流动的影响较小. 但当多孔率很小时(组织纤维化),会大大影响组织液流动的均匀性;组织间隙平行胶原的存在,会使得组织间隙速度在空间上的分布趋于均匀;另外,间隙流场随血压的增加而增加,随组织压的增加而降低,这与临床和经络研究的发现相一致.

    Abstract:Interstitial fluid flow is an important component of themicrocirculation and interstitial environment, yet there is few direct invivo measurement of it within human body. Therefore, computational andmathematical models are employed to investigate the fluid flow especiallywithin cortical bone and ligaments.This article is to investigate the interstitial fluid flow in inter osseousmembrane on lower limb, where the distribution of capillaries is regularparallel arrays on certain direction which is approximate to the directionof parallel collagen fibrils. It' rational to consider the interstitialspace as a porous media and set up a three dimensional filtration model tostudy the flow field. The govern equations of the model is Brinkman equationand conservative equation. A CFD software (FLUENT) is used to executive thenumerical simulation.There are some interesting results. First, interstitial fluid penetratingthrough capillary' walls at artery sections can flow along the direction ofparallel capillaries, and then some interstitial fluid is absorbed bycapillary at vein sections and others outflow at the exit. That is, underparallel capillary distribution condition, there may exit the directionalinterstitial fluid flow. Second, the interstitial fluid flow can beevidently influenced by collagen fibrils. Due to the existence of collagenfibrils in the interstitial space, the velocity distribution of theinterstitial fluid flow tends to be uniform, which is in favor of thephysiological activities of cells. So collagen fibrils are very important tothe organism. Third, pressure is also an important factor to influence theinterstitial fluid flow. The increases of pressure near artery (p_a) andpressure near vein (p_v) can both accelerate the interstitial fluid flow,while increase of pressure in interstitial space (p_i) can decelerate theinterstitial fluid flow. Therefore, changing the pressure in capillaries canadjust the microenvironment which cells live in. Changing the pressure ininterstitial space has more effective effect than pressure changing incapillaries. As we all know, when the tissue is undergone the externalforce, the pressure in the interstitial space will be changed, so theinterstitial fluid flow will also be changed. It may be a potential reasonthat naprapathy has a curative effect on the microcirculation in tissues.

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