Translator Disclaimer
2017 Global sensitivity analysis in a mathematical model of the renal insterstitium
Mariel Bedell, Yilin Lin, Emmie Román-Meléndez, Ioannis Sgouralis
Involve 10(4): 625-649 (2017). DOI: 10.2140/involve.2017.10.625

Abstract

The pressure in the renal interstitium is an important factor for normal kidney function. Here we develop a computational model of the rat kidney and use it to investigate the relationship between arterial blood pressure and interstitial fluid pressure. In addition, we investigate how tissue flexibility influences this relationship. Due to the complexity of the model, the large number of parameters, and the inherent uncertainty of the experimental data, we utilize Monte Carlo sampling to study the model’s behavior under a wide range of parameter values and to compute first- and total-order sensitivity indices. Characteristically, at elevated arterial blood pressure, the model predicts cases with increased or reduced interstitial pressure. The transition between the two cases is controlled mostly by the compliance of the blood vessels located before the afferent arterioles.

Citation

Download Citation

Mariel Bedell. Yilin Lin. Emmie Román-Meléndez. Ioannis Sgouralis. "Global sensitivity analysis in a mathematical model of the renal insterstitium." Involve 10 (4) 625 - 649, 2017. https://doi.org/10.2140/involve.2017.10.625

Information

Received: 29 September 2015; Revised: 26 April 2016; Accepted: 11 July 2016; Published: 2017
First available in Project Euclid: 12 December 2017

zbMATH: 1358.92033
MathSciNet: MR3630307
Digital Object Identifier: 10.2140/involve.2017.10.625

Subjects:
Primary: 49Q12, 65C05, 92C30, 93A30
Secondary: 92C42, 92C50

Rights: Copyright © 2017 Mathematical Sciences Publishers

JOURNAL ARTICLE
25 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.10 • No. 4 • 2017
MSP
Back to Top