Niimi H, Sugihara M
Biorheology. 1984;21(4):445-61. doi: 10.3233/bir-1984-21405.
A mathematical model is developed to elucidate micro-hemorheological factors of the oxygen transport between blood and tissue. A two-fluids model is introduced for capillary blood flow, including the non-equilibrium and relative motion between red blood cell (RBC) and plasma. A capillary-tissue unit is devised to describe the oxygen supply to tissue from a couple of capillaries with symmetric antiparallel input and output. Non-equilibrium flows are examined numerically on the basis of the model for various geometrical and dynamical parameters such capillary hematocrit, RBC velocity and flux. It is found that both RBC flux and capillary hematocrit have important influences on the oxygen transfer to tissue. Especially under low capillary hematocrit flow, the lowest oxygen pressure within tissue may appear at the maximal diffusional distance from the capillary between arterial and venous side.
建立了一个数学模型来阐明血液与组织之间氧输送的微观血液流变学因素。引入了一种双流体模型来描述毛细血管内的血流，该模型包括红细胞（RBC）与血浆之间的非平衡和相对运动。设计了一个毛细血管-组织单元，以描述从具有对称反平行输入和输出的一对毛细血管向组织的氧气供应。基于该模型，对各种几何和动力学参数（如毛细血管血细胞比容、红细胞速度和通量）进行了非平衡流的数值研究。结果发现，红细胞通量和毛细血管血细胞比容对氧气向组织的转移都有重要影响。特别是在低毛细血管血细胞比容血流情况下，组织内最低氧压可能出现在动脉侧和静脉侧毛细血管之间最大扩散距离处。
