Salathé E P, Venkataraman R
Am J Physiol. 1978 Jan;234(1):H52-8. doi: 10.1152/ajpheart.1978.234.1.H52.
A mathematical model of capillary-tissue fluid exchange is presented. The effect of variation in plasma and interstitial osmotic pressure that occurs as a result of convection and diffusion of protein is examined. Analytic solutions to the resulting equations are obtained by using the methods of perturbation theory. It is found that fluid exchange can significantly alter the pericapillary interstitial osmotic pressure, reducing both filtration and reabsorption. Variation in plasma osmotic pressure is important only for certain pathological conditions in which excessive filtration occurs. Specific numerical examples are presented which show quantitatively the extent of these effects for various normal and pathological conditions of physiological interest.
本文提出了一种毛细血管 - 组织液交换的数学模型。研究了由于蛋白质的对流和扩散导致的血浆和间质渗透压变化的影响。通过微扰理论方法得到了所得方程的解析解。结果发现，液体交换可显著改变毛细血管周围间质渗透压，减少滤过和重吸收。血浆渗透压的变化仅在发生过度滤过的某些病理条件下才重要。给出了具体的数值例子，定量显示了这些效应在各种正常和感兴趣的病理生理条件下的程度。
