A mathematical analysis of fluid movement across capillary walls

Eric P. Salathe, Kai Nan An

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41 引文 斯高帕斯(Scopus)

摘要

A mathematical analysis of the exchange of fluid between a blood capillary and the surrounding tissue is presented. The diameter and permeability of the capillary are assumed to vary along its length in accordance with observation, and fluid movement across the capillary wall is assumed to be governed by a generalization of Starling's law. The motion of the interstitial fluid obeys a nonlinear form of Darcy's law in which the porosity and hydrodynamic conductivity of the tissue vary with interstitial fluid pressure. An asymptotic method of solution is developed for a simplified problem in order to establish techniques applicable to the general case. The results are used to discuss some specific examples of physiological interest.

原文English
頁(從 - 到)1-23
頁數23
期刊Microvascular Research
11
發行號1
DOIs
出版狀態Published - 1976 一月

All Science Journal Classification (ASJC) codes

  • 生物化學
  • 心臟病學與心血管醫學
  • 細胞生物學

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