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示踪剂透过动脉壁的分层扩散模型及其精确解
引用本文:谭文长.示踪剂透过动脉壁的分层扩散模型及其精确解[J].山东大学学报(理学版),1996(2).
作者姓名:谭文长
作者单位:Dept. of Math,Shandong Univo.,Jinan
摘    要:考虑到动脉壁的非均质结构,建立了示踪剂透过动脉里的分层扩散模型,并得到了解析解.讨论了内膜和介质的扩散阻力对示踪剂跨壁传输的影响,为进一步研究动脉硬化病的成因提供了一个理论根据.

关 键 词:示踪剂  动脉壁  分层扩散模型  解析解

A MATHEMATICAL MODEL OF THE TRACER DIFUSSION ACROSS A MULTILAYERED ARTERIAL WALL AND ITS ANALYTICAL SOLUTION
Tan Wenchang.A MATHEMATICAL MODEL OF THE TRACER DIFUSSION ACROSS A MULTILAYERED ARTERIAL WALL AND ITS ANALYTICAL SOLUTION[J].Journal of Shandong University,1996(2).
Authors:Tan Wenchang
Abstract:By dividing the arterial wall into two layers(intima and media),a mathematical model of the tracer transPOrt across a multilayered arterial wall is developed and the analytical solution is obtaied. The tracer anisotropic diffusion in the arterial wall is discussed. It will provide a new theoretical tool to study the genesis of atherrosclerosis.
Keywords:tracer  arterial wall  mathematical model  analytical solution
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