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一种用于预测中空纤维膜式氧合器中二氧化碳去除量的数学模型。

A mathematical model to predict CO2 removal in hollow fiber membrane oxygenators.

作者信息

Svitek R G, Federspiel W J

机构信息

McGowan Institute of Regenerative Medicine, University of Pittsburgh, Room 215, McGowan Building, 3025, East Carson Street, Pittsburgh, PA 15203, USA.

出版信息

Ann Biomed Eng. 2008 Jun;36(6):992-1003. doi: 10.1007/s10439-008-9482-3. Epub 2008 Mar 18.

Abstract

A mathematical model has been developed to predict CO(2) removal in hollow fiber membrane oxygenators. The model is analogous to one developed previously for predicting O(2) transfer. A mass transfer correlation was determined in water for O(2) and CO(2) exchange and collapsed onto one universal curve. The correlation was used to predict CO(2) removal in blood by incorporating a 'facilitated diffusivity' to account for the transport of CO(2) present as bicarbonate. The diffusion of bicarbonate greatly increased the ability of the oxygenator to remove CO(2) in blood compared to water. A fiber bundle module was fabricated to test the model predictions. The fiber bundle had a length of 13 cm and a bundle thickness of 0.2 cm. The module was tested in bovine blood at flowrates of 0.75, 1.5, and 2.2 L/min and CO(2) removal rate predictions were within 9% of experimental measurements at all flowrates. The O(2) transfer rate predictions were within 10% of experimental measurements. A second module was manufactured with a bundle of length 4 cm and thickness of 1 cm. The CO(2) removal predictions were within the standard deviation of the experimental measurements.

摘要

已开发出一种数学模型来预测中空纤维膜式氧合器中二氧化碳的去除情况。该模型类似于先前开发的用于预测氧气传递的模型。在水中确定了氧气和二氧化碳交换的传质关联式,并将其归纳到一条通用曲线上。通过纳入“促进扩散系数”以考虑以碳酸氢盐形式存在的二氧化碳的传输,该关联式被用于预测血液中二氧化碳的去除情况。与水相比,碳酸氢盐的扩散极大地提高了氧合器去除血液中二氧化碳的能力。制造了一个纤维束模块来测试模型预测结果。该纤维束长度为13厘米,束厚度为0.2厘米。该模块在牛血中以0.75、1.5和2.2升/分钟的流速进行测试,在所有流速下,二氧化碳去除率预测值与实验测量值的偏差在9%以内。氧气传递速率预测值与实验测量值的偏差在10%以内。制造了第二个模块,其纤维束长度为4厘米,厚度为1厘米。二氧化碳去除预测值在实验测量值的标准偏差范围内。

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