Mathematical modeling of renal hemodynamics in physiology and pathophysiology

Mathematical Biosciences
Ioannis Sgouralis, Anita T Layton

Abstract

In addition to the excretion of metabolic waste and toxin, the kidney plays an indispensable role in regulating the balance of water, electrolyte, acid-base, and blood pressure. For the kidney to maintain proper functions, hemodynamic control is crucial. In this review, we describe representative mathematical models that have been developed to better understand the kidney's autoregulatory processes. We consider mathematical models that simulate glomerular filtration, and renal blood flow regulation by means of the myogenic response and tubuloglomerular feedback. We discuss the extent to which these modeling efforts have expanded the understanding of renal functions in health and disease.

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Citations

May 14, 2016·Bulletin of Mathematical Biology·Ioannis SgouralisAnita T Layton
Jun 10, 2016·Mathematical Medicine and Biology : a Journal of the IMA·Ioannis SgouralisAnita T Layton
Jan 24, 2018·American Journal of Physiology. Renal Physiology·Anita T Layton
Feb 12, 2019·Scientific Reports·Julia C WalkSarah A Holstein
Sep 11, 2020·Bulletin of Mathematical Biology·Shernita Lee, LaShania Clinedinst
Jun 30, 2018·Biological cybernetics·Anita T Layton
Jan 3, 2021·Toxicology and Applied Pharmacology·Kristopher D RawlsJason A Papin

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