Modeling the Anomalous Flux of Proteins in the Human Kidney with the Diffusion Equation

摘要

One of the first signals of the so-called diabetic nephropathy is attributed the anomalous flux of albumin through the zone of urine formation. This can be sustained on the hypothesis that the glucose's dipole moment would cancel the negative charges located over the inner layers of the renal glomerulus, leaving theses areas unprotected for stopping proteins and other charged compounds. In this paper, the diffusion's equation treated in cylinder coordinates is used to calculate the albumin excretion rate (AER) considering numerical inputs that feature those patients whose diagnosis of type-2 diabetes was done in more than 10 years. Our estimate is in agreement with the ones obtained with standard techniques commonly used in nephrology, with a 7% of error of model and numerical approximations.