NUMERICAL SOLUTION OF RENAL TRANSPORT EQUATIONS

肾脏转运方程的数值解

• 批准号: 2137100
• 负责人: REGINALD P TEWARSON
• 金额: $ 10.26万
• 依托单位: STATE UNIVERSITY NEW YORK STONY BROOK
• 依托单位国家: 美国
• 财政年份: 1974
• 资助国家: 美国
• 起止时间: 1974-06-30 至 1996-12-31
• 项目状态: 已结题
• 来源: https://reporter.nih.gov/project-details/2137100
• 关键词: artificial intelligence; computer simulation; kidney circulation; mathematical model; model design /development; parallel processing; renal medulla; renal tubular transport; renal tubule; supercomputer

The overall goal of this continuing project is to develop efficient algorithms which will permit the construction of realistic and comprehensive mathematical models that relate normal and pathological renal function to the underlying membrane transport and flow processes in the renal tubules and their associated vasculature. The primary thrust of our research during the next period will be: 1. To use our present inner medullary models to develop fairly detailed architectural models of the inner stripe of the outer medulla and then integrate these new models with our present central core and vasa recta n- nephron inner medullary models. 2. To include additional solutes and osmolytes and investigate the role of osmolyte production in the inner medulla. 3. To incorporate a more detailed representation of transmural movement of water and solutes that takes into account both cellular and paracellular pathways and also the exchange of electrolytes and water between red blood cells and plasma in the vasa recta. 4. Adapt current algorithms for serial computers, - if necessary, develop new ones based on our split system solvers - to fully exploit the parallel and vector processing capabilities of supercomputers. This is necessary to handle the size and complexity of our current and future n-nephron models. 5. If necessary - for parallel and/or vector algorithms - (a) improve stability and accuracy of numerical methods, (b) develop hierarchal solution strategies, and (c) incorporate continuation and smoothing methods. 6. To make the non-linear Schur Complement type methods developed by us readily available to other biomedical modelers, for use on minicomputers and/or workstations. These include: (a) reduced models of the whole kidney and medulla, (b) models of epithelia and isolated perfused tubules, (c) tubuloglomerular feedback response models, and (d) neural network models.

这个持续项目的总体目标是开发高效的 算法，这将允许建设现实的， 将正常和病理联系起来的综合数学模型 肾功能对基础膜转运和流动过程的影响 肾小管及其相关的脉管系统。的主要推力 我们在下一个时期的研究将是： 1.利用我们现有的内髓模型， 外髓内部条纹的结构模型， 将这些新模型与我们现有的中央核心和直血管相结合， 肾单位内髓模型。 2.纳入额外的溶质和渗透剂并研究其作用 内髓中的渗压物质产生。 3.为了更详细地展示 水和溶质，考虑到细胞和细胞旁 以及红血之间的电解质和水的交换 细胞和血浆中。 4.适应串行计算机的当前算法，-如有必要，开发 新的基于我们的分裂系统求解器-充分利用并行 和向量处理能力。这就要 处理我们当前和未来的n-肾单位模型的大小和复杂性。 5.如有必要-对于并行和/或向量算法-（a）改进 （B）发展分层 解决方案策略，以及（c）结合连续和平滑 方法. 6.为了使我们发展的非线性Schur补型方法 可供其他生物医学建模者使用，用于小型计算机 和/或工作站。这些包括：（a）整个肾脏的简化模型 （B）上皮细胞和分离的灌注小管的模型，（c） 管球反馈反应模型，和（d）神经网络模型。