MATHEMATICAL MODELS OF RENAL DYNAMICS

肾脏动力学的数学模型

基本信息

批准号：
2142083
负责人：
HAROLD E LAYTON
金额：
$ 8.29万
依托单位：
DUKE UNIVERSITY
依托单位国家：
美国
项目类别：
财政年份：
1990
资助国家：
美国
起止时间：
1990-01-01 至 1995-06-30
项目状态：
已结题

来源：
https://reporter.nih.gov/project-details/2142083
关键词：
fluidity glomerular filtration image processing juxtaglomerular apparatus kidney circulation kidney function mathematical model model design /development oscillatory blood flow renal glomerulus renal medulla renal tubule sensory feedback

项目摘要

This proposal is for mathematical modeling of three features of renal function: (1) the dynamics of tubuloglomerular feedback; (2) the dynamics of the renal papilla; and (3) the structural and functional heterogeneity of the renal medulla. This research will elucidate (1) the origin, character, and long-time behavior of oscillations in pressure, fluid flow, and solute concentrations in the in the tubules of nephrons; (2) the role of papillary peristalsis in intratubular fluid connection, in transtubular water and solute transport, and in the generation and maintenance of the inner medullary concentration gradient; and (3) the importance of distributed loops of Henle, of variation in single nephron glomerular filtration rates as a generation of the medullary concentration gradient. The principal mathematical methods that will be employed in each of the three projects are (1) flux-corrected transport for the solution of systems of hyperbolic partial differential equations; (2) the technique of Charles S. Peskin and David M. McQueen for the solution of the Navier-Stokes equations in a region containing an immersed boundary; and (3) fixed-point iteration and continuation of parameters for the solution of systems of integro-differential equations. The models will be developed in consultation/collaboration with numerical analysts and physiologists. Every effort will be made to ensure the mathematical integrity and physiological applicability of the results. Because many issues in renal physiology remain unresolved and because much new experimental data needing interpretation is being generated, the integrative work proposed here may contribute significantly to the understanding of normal renal function. Such understanding is essential, over the long term, for progress in the analysis and treatment of kidney disease.

该建议是用于肾脏三个特征的数学建模功能：（1）肾小管斜体反馈的动力学；（2）动力学肾乳头；（3）结构和功能异质性肾髓质。这项研究将阐明（1）起源，特征和振荡在压力，流体流动中的长期行为，和肾小管小管中的溶质浓度；（2）角色乳头状蠕动在细胞内流体连接中水和溶质传输，以及在生成和维护中内髓质浓度梯度；（3） Henle的分布环，单肾肾小球变化过滤速率作为髓质浓度梯度的产生。每种主要的数学方法三个项目是（1）用于系统解决方案的通量校正运输双曲部分偏微分方程；（2）查尔斯的技术 S. Peskin和David M. McQueen用于Navier-Stokes的解决方案包含浸入边界的区域的方程；（3）定点迭代和参数的延续，用于解决系统的解决方案整数分化方程。这些模型将在与数值分析师和生理学家进行咨询/合作。将尽一切努力确保数学完整性和结果的生理适用性。因为肾脏生理学上的许多问题仍未解决，因为需要生成需要解释的新实验数据，这里提出的综合工作可能对了解正常肾功能。这种理解是必不可少的，从长远来看，在肾脏分析和治疗方面的进展疾病。