具有任意轴向速度分布的顺应性血管中溶质输运的简化模型
A reduced model for solute transport in compliant blood vessels with arbitrary axial velocity profile
摘要：
基于中心流形理论，推导了一个简化的血液溶质输运模型。推导是在变截面血管中具有一般轴向和径向速度分布的对流扩散方程上进行的。我们将得到的一维方程耦合到顺应性血管中血流的简化模型。在无滑移轴向速度剖面的特殊情况下，我们研究了扩散系数和相应的数值解对剖面形状的依赖性。
英文摘要：
We derive a reduced model of solute transport in blood based on the center manifold theory. The derivation is carried out on a convection diffusion equation with general axial and radial velocity profiles in a blood vessel of varying cross section. We couple the resulting one dimensional equation to a reduced model for blood flow in a compliant vessel. In the special case of a no--slip axial velocity profile, we study the dependence of the diffusion coefficient and corresponding numerical solutions on the shape of the profile.
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