Modeling combined transport of water and charged graded-size molecules across the glomerular capillary wall |
| |
Authors: | Ehab I. Mohamed Amani M. Bayoumi |
| |
Affiliation: | a Medical Biophysics Department, Medical Research Institute, University of Alexandria, Egypt b Physics Department, Faculty of Science, University of Alexandria, Egypt |
| |
Abstract: | Clearance studies using various probe molecules established that the passage of molecules/proteins across the glomerular capillary wall of mammalian kidneys is increasingly restricted as their size and net negative charge increase. An extended mathematical model, based on the Fiber Matrix theory, was developed to describe the dynamics of the size- and charge-selective functions of the glomerular capillary barrier using mainly its hemodynamic, morphometric, and electrostatic variables. The glomerular basement membrane was represented as a homogeneous three-dimensional network of fibers of uniform length (Lf), radius (Rf), and packing density (Nfv) and characteristic Darcy permeability. The model was appropriate for simulating fractional clearance data of neutral and charged solutes from an experimental modeling exercise. We believe that the Lf and Rf best-fit numerical values may signify new insights for the diagnosis of some human nephropathies. |
| |
Keywords: | Fiber Matrix theory Hydraulic permeability Darcy permeability Fractional clearance Size and charge selectivity Mathematical modeling |
本文献已被 ScienceDirect 等数据库收录! |
|