Goldman Daniel, Bateman Ryon M, Ellis Christopher G
Dept. of Mathematical Sciences, New Jersey Institute of Technology, Univ. Heights, Newark, NJ 07102, USA.
Am J Physiol Heart Circ Physiol. 2004 Dec;287(6):H2535-44. doi: 10.1152/ajpheart.00889.2003. Epub 2004 Aug 19.
Inherent in the inflammatory response to sepsis is abnormal microvascular perfusion. Maldistribution of capillary red blood cell (RBC) flow in rat skeletal muscle has been characterized by increased 1) stopped-flow capillaries, 2) capillary oxygen extraction, and 3) ratio of fast-flow to normal-flow capillaries. On the basis of experimental data for functional capillary density (FCD), RBC velocity, and hemoglobin O2 saturation during sepsis, a mathematical model was used to calculate tissue O2 consumption (Vo2), tissue Po2 (Pt) profiles, and O2 delivery by fast-flow capillaries, which could not be measured experimentally. The model describes coupled capillary and tissue O2 transport using realistic blood and tissue biophysics and three-dimensional arrays of heterogeneously spaced capillaries and was solved numerically using a previously validated scheme. While total blood flow was maintained, capillary flow distribution was varied from 60/30/10% (normal/fast/stopped) in control to 33/33/33% (normal/fast/stopped) in average sepsis (AS) and 25/25/50% (normal/fast/stopped) in extreme sepsis (ES). Simulations found approximately two- and fourfold increases in tissue Vo2 in AS and ES, respectively. Average (minimum) Pt decreased from 43 (40) mmHg in control to 34 (27) and 26 (15) mmHg in AS and ES, respectively, and clustering fast-flow capillaries (increased flow heterogeneity) reduced minimum Pt to 14.5 mmHg. Thus, although fast capillaries prevented tissue dysoxia, they did not prevent increased hypoxia as the degree of microvascular injury increased. The model predicts that decreased FCD, increased fast flow, and increased Vo2 in sepsis expose skeletal muscle to significant regions of hypoxia, which could affect local cellular and organ function.
脓毒症炎症反应的内在特征是微血管灌注异常。大鼠骨骼肌中毛细血管红细胞(RBC)血流分布不均的特征表现为:1)停滞血流毛细血管增多;2)毛细血管氧摄取增加;3)快速血流毛细血管与正常血流毛细血管的比例增加。基于脓毒症期间功能性毛细血管密度(FCD)、RBC速度和血红蛋白O₂饱和度的实验数据,使用数学模型计算组织氧消耗(Vo₂)、组织氧分压(Pt)分布以及快速血流毛细血管的氧输送,这些无法通过实验测量。该模型使用实际的血液和组织生物物理学以及异质间隔毛细血管的三维阵列来描述毛细血管和组织的氧耦合运输,并使用先前验证的方案进行数值求解。虽然总血流量保持不变,但毛细血管血流分布从对照组的60/30/10%(正常/快速/停滞)变化到平均脓毒症(AS)时的33/33/33%(正常/快速/停滞)和极端脓毒症(ES)时的25/25/50%(正常/快速/停滞)。模拟发现,AS和ES中组织Vo₂分别增加了约两倍和四倍。平均(最小)Pt从对照组的43(40)mmHg分别降至AS和ES中的34(27)mmHg和26(15)mmHg,快速血流毛细血管聚集(血流异质性增加)使最小Pt降至14.5 mmHg。因此,尽管快速毛细血管可防止组织低氧血症,但随着微血管损伤程度增加,它们并不能防止缺氧增加。该模型预测,脓毒症中FCD降低、快速血流增加和Vo₂增加会使骨骼肌暴露于显著的缺氧区域,这可能影响局部细胞和器官功能。