A MATHEMATICAL-MODEL OF INTERSTITIAL TRANSPORT .1. THEORY

被引:33
作者
TAYLOR, DG
BERT, JL
BOWEN, BD
机构
[1] UNIV OTTAWA, DEPT CHEM ENGN, OTTAWA K1N 6N5, ONTARIO, CANADA
[2] UNIV BRITISH COLUMBIA, DEPT PATHOL, VANCOUVER V6T 1W5, BC, CANADA
基金
加拿大自然科学与工程研究理事会;
关键词
D O I
10.1016/0026-2862(90)90042-P
中图分类号
R6 [外科学];
学科分类号
1002 ; 100210 ;
摘要
A generalized model is developed to describe the transport of fluid and plasma proteins or other macromolecules within the interstitium. To account for the effects of plasma protein exclusion and interstitial swelling, the interstitium is treated as a multiphase deformable porous medium. Fluid flow is assumed proportional to the gradient in fluid chemical potential and therefore depends not only on the local hydrostatic pressure but also on the local plasma protein concentrations through appropriate colloid osmotic pressure relationships. Plasma protein transport is assumed to occur by restricted convection, molecular diffusion, and convective dispersion. In a companion paper (D. G. Taylor, J. L. Bert, and B. D. Bowen,1990, Microvasc. Res. 39, 279-306) a simplified version of the model is used to analyze steady-state fluid and plasma protein exchange within mesentery. © 1990.
引用
收藏
页码:253 / 278
页数:26
相关论文
共 54 条
[41]  
SWABB EA, 1974, CANCER RES, V34, P2814
[42]  
TAYLOR DG, MICROVSC RES, V39, P279
[43]   THE DISPERSION OF MATTER IN TURBULENT FLOW THROUGH A PIPE [J].
TAYLOR, G .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1954, 223 (1155) :446-468
[44]   DISPERSION OF SOLUBLE MATTER IN SOLVENT FLOWING SLOWLY THROUGH A TUBE [J].
TAYLOR, G .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1953, 219 (1137) :186-203
[45]  
Terzaghi K., 1943, THEORETICAL SOIL MEC
[46]  
TYLDSELEY JR, 1975, INTRO TENSOR ANAL EN, P1
[47]  
Verruijt A., 1969, FLOW POROUS MEDIA, P331
[48]  
VERRUIJT A, 1984, FUNDAMENTALS TRANSPO, P349
[49]  
WATSON PD, 1987, MICROVSC RES, V16, P19
[50]   ADVANCES IN THEORY OF FLUID MOTION IN POROUS MEDIA [J].
WHITAKER, S .
INDUSTRIAL AND ENGINEERING CHEMISTRY, 1969, 61 (12) :14-&