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Global
sensitivity analysis in a mathematical model of the renal
insterstitium
Mariel Bedell, Claire Yilin Lin, Emmie Román-Meléndez and Ioannis Sgouralis
Vol. 10 (2017), No. 4, 625–649
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Abstract |
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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. |
Keywords
mathematical model, sensitivity analysis, Monte Carlo,
kidney, interstitium
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Mathematical Subject Classification 2010
Primary: 49Q12, 65C05, 92C30, 93A30
Secondary: 92C50, 92C42
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Milestones
Received: 29 September 2015
Revised: 26 April 2016
Accepted: 11 July 2016
Published: 7 March 2017
Communicated by Suzanne Lenhart
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Authors |
| Mariel Bedell | |
| Carnegie Mellon University 5000 Forbes Ave. Pittsburgh, PA 15213 United States |
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| Claire Yilin Lin | |
| Emory University 201 Dowman Dr. Atlanta, GA 30322 United States |
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| Emmie Román-Meléndez | |
| University of Puerto Rico
Mayaguez 259 Blvd. Alfonso Valdez Cabian Mayagüez 00680 Puerto Rico |
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| Ioannis Sgouralis | |
| National Institute for Mathematical
and Biological Synthesis (NIMBioS) University of Tennessee 1122 Volunteer Blvd., Suite 106 Knoxville, TN 37996 United States |
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