Tandon P N, Kushwaha K
Department of Mathematics, Harcourt Butler Technological Institute, Kanpur, (U.P.), India.
Int J Biomed Comput. 1992 Jan;30(1):1-15. doi: 10.1016/0020-7101(92)90057-y.
A two region flow model has been developed for a capillary-tissue exchange unit. Nutrient dissolved in plasma enters into the tissue from capillary through diffusion, filtration and osmosis. The governing non-linear coupled partial differential equations in the two regions (capillary and tissue) have been solved separately with suitable boundary and matching conditions. The results for the variation of Taylor's-Diffusivity Coefficient and concentration of a nutrient in the tissue region have been brought out for various values of the parameters involved in the analysis and discussed. It has been particularly noted that the penetration depth in the tissue for the nutritional transport can be considered as an important diagnostic parameter for many cardiovascular diseases.
已为毛细血管 - 组织交换单元开发了一种双区域流动模型。溶解在血浆中的营养物质通过扩散、过滤和渗透从毛细血管进入组织。在两个区域（毛细血管和组织）中，通过合适的边界条件和匹配条件分别求解了控制非线性耦合偏微分方程。针对分析中涉及的各种参数值，给出了泰勒扩散系数的变化以及组织区域中营养物质浓度的结果并进行了讨论。特别值得注意的是，营养物质传输在组织中的渗透深度可被视为许多心血管疾病的一个重要诊断参数。
