关于可渗透溶质在毛细管泊肃叶流动过程中的分布
On the distribution of a permeable solute during Poiseuille flow in capillary tubes.
作者信息
Pollock F, Blum J J
出版信息
Biophys J. 1966 Jan;6(1):19-28. doi: 10.1016/S0006-3495(66)86637-7.
Equations are derived describing the dispersion of a permeable solute during Poiseuille flow in a capillary model. It is shown that for the normal range of physiological parameters such as capillary radius, capillary length, blood flow, permeability coefficients, and diffusion constants, the center of mass of a bolus of solute moves at a speed very close to the mean speed of flow and that the solute leaves the capillary with an exponential time course depending on the permeability but not on the diffusion constant. There is no appreciable difference in the dispersion of the solute or in its rate of permeation from the capillary whether one considers piston flow or Poiseuille flow. A bolus of arbitrary radial shape tends to become radially uniform very close to the arterial end of the capillary.
推导了描述在毛细管模型中泊肃叶流期间可渗透溶质扩散的方程。结果表明，对于诸如毛细管半径、毛细管长度、血流、渗透系数和扩散常数等生理参数的正常范围，溶质团块的质心以非常接近平均流速的速度移动，并且溶质以取决于渗透率而非扩散常数的指数时间进程离开毛细管。无论考虑活塞流还是泊肃叶流，溶质的扩散或其从毛细管的渗透速率都没有明显差异。任意径向形状的团块在非常接近毛细管动脉端处趋于在径向上变得均匀。
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