Ellsworth M L, Popel A S, Pittman R N
Department of Physiology, Medical College of Virginia, Virginia Commonwealth University, Richmond 23298-0551.
Microvasc Res. 1988 May;35(3):341-62. doi: 10.1016/0026-2862(88)90089-1.
Convective oxygen transport parameters were determined in arteriolar (n = 5) and venular (n = 5) capillary networks in the hamster cheek pouch retractor muscle. Simultaneously determined values of red blood cell velocity, lineal density, red blood cell frequency, hemoglobin oxygen saturation (SO2), oxygen flow (QO2), longitudinal SO2 gradient, and diameter were obtained in a total of 73 capillaries, 39 at the arteriolar ends of the network (arteriolar capillaries) and 34 at the venular ends (venular capillaries). We found that the hemodynamic variables were not different at the two ends. However, not unexpectedly, SO2 and QO2 were significantly higher at the upstream end of arteriolar capillaries (60.8 +/- 9.8 (SD)% and 0.150 +/- 0.081 pl/sec, respectively) compared with the downstream end of venular capillaries (39.9 +/- 13.6% and 0.108 +/- 0.095 pl/sec, respectively). Heterogeneities in red blood cell velocity, lineal density, SO2, and QO2, assessed by their coefficients of variation, were significantly greater in venular capillaries. To evaluate the impact of these heterogeneities on oxygen exchange, we incorporated these unique experimental data into a mathematical model of oxygen transport which accounts for variability in red blood cell frequency, lineal density, inlet SO2, capillary diameter, and, to some degree, capillary flow path lengths. An unexpected result of the simulation is that only the incorporation of variability in capillary flow path lengths had any marked effect on the heterogeneity in end-capillary SO2 in resting muscle due to extensive diffusional shunting of oxygen among adjacent capillaries. We subsequently evaluated, through model simulations, the effect of these heterogeneities under conditions of increased flow and high oxygen consumption. Under these conditions, the model predicts that heterogeneities in the hemodynamic parameters will have a marked effect on oxygen transport in this muscle.
在仓鼠颊囊牵张肌的小动脉(n = 5)和小静脉(n = 5)毛细血管网络中测定了对流氧传输参数。同时在总共73根毛细血管中获得了红细胞速度、线密度、红细胞频率、血红蛋白氧饱和度(SO2)、氧流量(QO2)、纵向SO2梯度和直径的值,其中39根在网络的小动脉端(小动脉毛细血管),34根在小静脉端(小静脉毛细血管)。我们发现两端的血流动力学变量没有差异。然而,不出所料,与小静脉毛细血管的下游端(分别为39.9 +/- 13.6%和0.108 +/- 0.095 pl/秒)相比,小动脉毛细血管的上游端SO2和QO2显著更高(分别为60.8 +/- 9.8(标准差)%和0.150 +/- 0.081 pl/秒)。通过变异系数评估的红细胞速度、线密度、SO2和QO2的异质性在小静脉毛细血管中显著更大。为了评估这些异质性对氧交换的影响,我们将这些独特的实验数据纳入了一个氧传输数学模型,该模型考虑了红细胞频率、线密度、入口SO2、毛细血管直径以及在一定程度上毛细血管流动路径长度的变异性。模拟的一个意外结果是,由于相邻毛细血管之间氧的广泛扩散分流,只有毛细血管流动路径长度的变异性纳入对静息肌肉毛细血管末端SO2的异质性有任何显著影响。我们随后通过模型模拟评估了在流量增加和高氧消耗条件下这些异质性的影响。在这些条件下,模型预测血流动力学参数的异质性将对该肌肉中的氧传输产生显著影响。