2015 SRE Project

Modeling the Distribution of Fluid Pressure in the Kidney

Mentors:
Dr. Vasileios Maroulas
Dr. Ioannis Sgouralis

Participants:
Emmie Roman-Melendez (Mathematics, Univ. of Puerto Rico, Mayaguez)
Mariel Bedell (Biological Sciences/Pre-Medicine, Carnegie Mellon Univ.)
Yilin Lin (Applied Mathematics, Emory Univ.)

The goal of the project is to explore the relationship between arterial blood pressure and interstitial fluid pressure. We will build a simple phenomenological model of the mammalian kidney in which the various sub-organ structures are divided into four compartments: vessels, tubules, ducts, and interstitium. Mass balance and simplified pressure-volume relations will be represented within each compartment. The resulting model will incorporate a number of parameters that are not experimentally assessable. Specific statistical techniques will be utilized to make realistic estimates based on available data and to analyze the degree to which the resulting uncertainty impacts the model's behavior.

Products

Abstract of project report (PDF)

Project group (from L): Emmie Roman-Melendez, Mathematics, Univ. of Puerto Rico, Mayaguez, Dr. Vasileios Maroulas, Dr. Ioannis Sgouralis, Yilin Lin, Applied Mathematics, Emory Univ., and Mariel Bedell, Biological Sciences/Pre-Medicine, Carnegie Mellon Univ.

Return to SRE 2015.

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From 2008 until early 2021, NIMBioS was supported by the National Science Foundation through NSF Award #DBI-1300426, with additional support from The University of Tennessee, Knoxville. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.