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Wiley Interdiscip Rev Syst Biol Med. 2013 Sep-Oct;5(5):557-73. doi: 10.1002/wsbm.1232. Epub 2013 Jul 12.

Mathematical modeling of kidney transport.

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1
Department of Mathematics, Duke University, Durham, NC, USA.

Abstract

In addition to metabolic waste and toxin excretion, the kidney also plays an indispensable role in regulating the balance of water, electrolytes, nitrogen, and acid-base. In this review, we describe 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, epithelial transport, and regulation of renal oxygen transport. We discuss the extent to which these modeling efforts have expanded our understanding of renal function in both health and disease.

PMID:
23852667
PMCID:
PMC3745785
DOI:
10.1002/wsbm.1232
[Indexed for MEDLINE]
Free PMC Article
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