MASS TRANSFER IN THE MICROCIRCULATION

当前工作的目标是将重要的研究领域 在数学模拟的微循环的基础上， 获得对结果有效性的直接实验确认。 已经完成的简化分析表明， 毛细血管中的氧转移比以前报道的高得多。 氧气输运偏微分方程的数值解 指出各种参数的相对重要性，并表明需要 仔细处理氧合血红蛋白扩散和反应动力学 表情 本文提出对氧方程组进行数值求解 在圆柱形几何形状的参数范围内的传输 对微循环的主要兴趣。 额外的近似分析将 进行估计等离子体中的氧通量，并减少 结果的数值解形式的实际效用。 的 实验工作将涉及制造5至10微米直径的 硅橡胶毛细管。 血红蛋白饱和度的直接测定 在毛细管中流动的红细胞悬浮液将发生变化。 血红素吸光度的测量将用于监测氧气在 各种各样的条件。

The objectives of the current work are to place the important field of research on mathematical simulation of the microcirculation on the stronger base and to obtain direct experimental confirmation of the validity of the results. A simplified analysis has been completed which indicates that the resistance to oxygen transfer in the capillaries is much higher than previously reported. Numerical solutions of the partial differential equations of oxygen transport indicate the relative importance of the various parameters and show the need for careful treatment of the oxyhemoglobin diffusion and reaction kinetics expressions. It is proposed to carry out numerical solutions of the equations of oxygen transport in the cylindrical geometry for the ranges of the parameters of primary interest in the microcirculation. Additional approximate analyses will be carried out to estimate oxygen fluxes in the plasma, and to reduce the results of the numerical solutions to forms of practical utility. The experimental work will involve fabrication of 5 to 10 micron diameter capillaries of silicone rubber. Direct determination of hemoglobin saturation changes will be made in red cell suspensions flowing in the capillaries. Measurements of heme absorbance will be used to monitor oxygen transport over a wide range of conditions.