Garner J B, Kellogg R B
Department of Mathematics and Statistics, Mississippi State University, Mississippi State 39762.
J Math Biol. 1988;26(4):455-64. doi: 10.1007/BF00276373.
This paper considers systems of differential equations that describe flows in renal networks. The flow geometry is of the type that occurs in modelling the renal medulla. The unknowns in the system include the flow rate, the hydrostatic pressure, and the concentrations of the various solutes. Existence and uniqueness of solutions of the appropriate boundary value problems are established, in the case of small permeability coefficients and transport rates, or large diffusion coefficients and small resistance to flow constants.
本文考虑描述肾网络中血流的微分方程组。血流几何结构是在对肾髓质建模时出现的类型。该系统中的未知数包括流速、静水压力以及各种溶质的浓度。在渗透率系数和传输速率较小，或扩散系数较大且血流阻力常数较小时，建立了适当边值问题解的存在性和唯一性。
