Popel A S, Gross J F
Am J Physiol. 1979 Dec;237(6):H681-9. doi: 10.1152/ajpheart.1979.237.6.H681.
A mathematical model of oxygen transport in the precapillary microcirculation is presented. The theory is then used to simulate oxygen distribution in the arteriolar network of the hamster cheek pouch. Theoretical prediction of transmural and longitudinal oxygen tension (PO2) gradients is in qualitative agreement with available experimental data. The effect of the variation of inlet network PO2, blood flow rate, blood hematocrit, and other parameters on the transport characteristics is studied. The calculations predict that the luminal PO2 in small arterioles is practically independent of the inlet network PO2 leve if the latter is sufficiently high; when this inlet PO2 level is low, then the longitudinal gradients of luminal PO2 vanish. It is further shown that retardation of blood flow may cause a significant increase in precapillary oxygen losses.
本文提出了一种毛细血管前微循环中氧传输的数学模型。然后运用该理论模拟仓鼠颊囊小动脉网络中的氧分布。跨壁和纵向氧分压（PO2）梯度的理论预测与现有实验数据在定性上一致。研究了入口网络PO2、血流速率、血液红细胞压积及其他参数变化对传输特性的影响。计算结果预测，如果入口网络PO2水平足够高，小动脉管腔内的PO2实际上与入口网络PO2水平无关；当入口PO2水平较低时，管腔内PO2的纵向梯度消失。进一步表明，血流迟缓可能导致毛细血管前氧损失显著增加。
