Optimization of dialyzer design to maximize solute removal with a two-dimensional transport model
Optimization of dialyzer design to maximize solute removal with a two-dimensional transport model
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DOI：
10.1016/j.memsci.2017.07.018
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发表时间：
2017-11-01
影响因子：
9.5
通讯作者：
Segers, Patrick
中科院分区：
文献类型：
--
作者：
Donato, Danilo;Boschetti-de-Fierro, Adriana;Segers, Patrick
文献中尚未报道所有透析器相关因素对溶质清除率影响的系统分析，因此很难优化透析器设计以最大限度地从患者血液中去除溶质。本文提出了透析器中动量和质量传递的二维轴对称数学模型，以研究最相关的几何和操作无量纲群对溶质清除的影响。纳维-斯托克斯和达西-布林克曼方程分别用于描述血液和透析液室以及跨膜的稳态动量传递。用对流扩散方程描述低分子量和中分子量溶质从血液通过膜输送到透析液室的过程。还考虑了非牛顿血液行为和浓差极化的影响。决定透析器效率的完整无量纲组是通过模型方程的量纲分析获得的。通过求解临床实践中典型的几何和操作无量纲组值的模型方程来研究它们对溶质清除的影响。确定了决定透析器效率的最相关的无量纲组，并根据它们的值提出了一种优化透析器的新颖设计方法，以便以具有成本效益的方式最大化溶质清除率。
A systematic analysis of the effect of all the dialyzer-related factors on solute clearance has not been reported in the literature, making it difficult to optimize dialyzer design to maximize solute removal from patient's blood. In this paper, a two-dimensional axisymmetric mathematical model of momentum and mass transport in dialyzers is proposed to investigate the effect of the most relevant geometrical and operational dimensionless groups on solute clearance. Navier-Stokes and Darcy-Brinkman equations are used to describe steady-state momentum transport in blood and dialysate compartments, and across the membrane, respectively. Transport of low and middle molecular weight solutes from the blood through the membrane into the dialysate compartment is described with convection-diffusion equations. The effect of non-Newtonian blood behavior and concentration polarization is also taken into account. The complete set of dimensionless groups determining dialyzer efficiency is obtained from dimensional analysis of model equations. Their effect on solute clearances is investigated by solving model equations for values of geometrical and operational dimensionless groups typical in clinical practice. The most relevant dimensionless groups determining dialyzer efficiency were identified and a novel design approach to optimize dialyzers in order to maximize solute clearances in a cost-effective way is proposed based on their values.