Bos C, Hoofd L, Oostendorp T
Department of Physiology, University of Nijmegen, The Netherlands.
IMA J Math Appl Med Biol. 1996 Dec;13(4):259-74.
In simplified models that describe large quantities of capillaries the capillary content is considered to be homogeneous for oxygen transport; but, in reality, the capillaries contain discrete red blood cells (RBCs), and this discreteness will affect oxygen transport from the capillary to the tissue. This was previously investigated with an analytical model, where RBCs were modelled as point-like sources. A numerical approach is used in this investigation, and the results are compared with the analytical model. In both models the effect of the particulate nature of blood depends on the haematocrit and on the RBC velocity. There is only a minor difference between the two models. For rat hearts, the correction factor used in this study, the extraction pressure, can be up to 3 kPa (23 mmHg).
在描述大量毛细血管的简化模型中,毛细血管内容物在氧气运输方面被视为均匀的;但是,实际上,毛细血管中含有离散的红细胞(RBC),这种离散性会影响氧气从毛细血管向组织的运输。此前曾用一个分析模型对此进行研究,在该模型中红细胞被建模为点状源。本研究采用了一种数值方法,并将结果与分析模型进行了比较。在这两个模型中,血液的颗粒性质的影响均取决于血细胞比容和红细胞速度。这两个模型之间只有细微差别。对于大鼠心脏,本研究中使用的校正因子,即提取压力,可达3千帕(23毫米汞柱)。