Table of Contents
ISRN Biomathematics
Volume 2012 (2012), Article ID 170594, 18 pages
Review Article

Modeling Transport and Flow Regulatory Mechanisms of the Kidney

Department of Mathematics, Duke University, P.O. Box 90320, Durham, NC 27708-0320, USA

Received 17 May 2012; Accepted 12 July 2012

Academic Editors: M. Brumen and J. R. C. Piqueira

Copyright © 2012 Anita T. Layton. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The kidney plays an indispensable role in the regulation of whole-organism water balance, electrolyte balance, and acid-base balance, and in the excretion of metabolic wastes and toxins. In this paper, we review representative mathematical models that have been developed to better understand kidney physiology and pathophysiology, including the regulation of glomerular filtration, the regulation of renal blood flow by means of the tubuloglomerular feedback mechanisms and of the myogenic mechanism, the urine concentrating mechanism, and regulation of renal oxygen transport. We discuss how such modeling efforts have significantly expanded our understanding of renal function in both health and disease.