Kiani M F, Pries A R, Hsu L L, Sarelius I H, Cokelet G R
Department of Biophysics, University of Rochester, New York 14642.
Am J Physiol. 1994 May;266(5 Pt 2):H1822-8. doi: 10.1152/ajpheart.1994.266.5.H1822.
We have developed a mathematical model of microvascular network blood flow in which the nonlinear flow properties of blood and the nonuniform axial distribution of red blood cells in each vessel, as well as disproportionate cell partitioning at bifurcations, are all accounted for. The movements of red blood cells in the network are tracked; hence, the model is able to simulate temporal variations in local flow parameters in the network due to hemodynamic mechanisms. The model was applied to four rat mesenteric networks for which the topology, boundary conditions, blood velocity, and discharge hematocrit (Hctd) had been measured for each branch. Temporal variations in Hctd and blood velocity after simulation convergence were predicted. In some cases of the three vessels connected to a node, Hctd of one vessel fluctuates in a simple periodic form, Hctd of the second one oscillates in a more complex periodic form, whereas the Hctd of the third one does not oscillate at all. These variations were obtained with constant flow boundary conditions and, therefore, are due to hemodynamic factors alone. The temporal variations in flow parameters predicted by the model simulations are caused by hemorheological mechanisms and would be superimposed on variations caused by other mechanisms (e.g., vasomotion). The frequencies of the predicted fluctuations in blood velocity are in qualitative agreement with observed in vivo variations in dual-slit velocity in the arterioles of the cremaster muscle of anesthetized Golden hamster.
我们建立了一个微血管网络血流的数学模型,该模型考虑了血液的非线性流动特性、每个血管中红细胞的非均匀轴向分布以及分叉处不成比例的细胞分配。对网络中红细胞的运动进行了跟踪;因此,该模型能够模拟由于血液动力学机制导致的网络局部流动参数的时间变化。该模型应用于四个大鼠肠系膜网络,已测量了每个分支的拓扑结构、边界条件、血流速度和排出血细胞比容(Hctd)。预测了模拟收敛后Hctd和血流速度的时间变化。在连接到一个节点的三个血管的某些情况下,一个血管的Hctd以简单的周期性形式波动,第二个血管的Hctd以更复杂的周期性形式振荡,而第三个血管的Hctd根本不振荡。这些变化是在恒定流量边界条件下获得的,因此完全是由血液动力学因素引起的。模型模拟预测的流动参数的时间变化是由血液流变学机制引起的,并且会叠加在由其他机制(例如血管运动)引起的变化之上。预测的血流速度波动频率与在麻醉的金黄地鼠提睾肌小动脉双缝速度的体内观察变化在定性上一致。