A novel model for effective diffusion coefficient in brain capillary

被引：0
作者：
Mina Alafzadeh
Ebrahim Shirani
Effat Yahaghi
Nasser Fatouraee
机构：
[1] Isfahan University of Technology,Department of Mechanical Engineering
[2] Foolad Institute of Technology,Department of Physics
[3] Fooladshahr,Department of Biomedical Engineering
[4] Imam Khomeini International University,undefined
[5] Amir-Kabir University of Technology,undefined
来源：
Journal of Mechanical Science and Technology | 2017年 / 31卷
关键词：
Effective diffusion coefficient; Porous media; Tissue; Lattice Boltzmann method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new and rather accurate correlation for prediction of effective diffusion coefficient is proposed for the biological tissue in the brain. Blood flow in brain capillaries and mass diffusion process in the tissues as a porous media, surrounding the capillaries, are simulated by using the random nature of tissue structure and the lattice Boltzmann method. The present correlation which is obtained from the lattice Boltzmann method and is taken into account the effects of the pore or cell structure is validated by comparing it with that of theoretical, statistical and experimental data. A very good coincidence between experimental data and present results have been found. So, the results show that the new model for the effective diffusion coefficient is a good choice for normal and damaged brain tissue and it produces more accurate results than existing models.
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页码：3101 / 3106
页数：5
相关论文
共 52 条
  • [1] Guo Z.(2002)Lattice Boltzmann model for incompressible flows through porous media Phys. Review E 66 363-364
  • [2] Zhao T. S.(2015)mathematical model of the effect of ischemia-reperfusion on brain capillary collapse and tissue swelling Math. Bioscience 263 111-120
  • [3] Mohamed Mokhtarudin M. J.(2006)Estimation of contras tagent concentration in intra-and extra-vascular spaces of brain tissue Math. Biosciences 204 102-118
  • [4] Payne S. J.(2002)Modeling tissue contrast agent concentration: a solution to the tissue homogeneity model using a simulated arterial input function Magn. Reson. Med. 48 42-45
  • [5] Yahaghi E.(2003)The role of porous media in modeling flow and heat transfer in biological tissues Int. J. of Heat and Mass Tranfer 46 4989-5003
  • [6] Moran G. R.(2001)Diffusion and related transport mechanisms in brain tissue Rep. Prog. Phys. 64 815-884
  • [7] Thornhill R. E.(2014)A spatially-distributed computational model to quantify behavior of contrast agents in MR perfusion imaging Med. Image Analy. 18 1200-1207
  • [8] Sykes J.(2006)Modeling of low-density lipoprotein (LDL) transport in the artery-effects of hypertension Int. J. of Heat and Mass Transfer 49 850-867
  • [9] Prato F. S.(2010)Investigation on mass diffusion process in porous media based on lattice Boltzmann method Heat Mass Transfer 46 1039-1051
  • [10] Khaled A.-R. A.(1954)A treatise on electricity and magnetism Dover Publication Inc. 1 1831-1879
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