Pulsatile Flow Through Idealized Renal Tubules: Fluid-structure Interaction and Dynamic Pathologies

Niksa Praljak; Shawn D. Ryan; Andrew Resnick

doi:10.3934/mbe.2020094

Pulsatile Flow Through Idealized Renal Tubules: Fluid-structure Interaction and Dynamic Pathologies

Niksa Praljak
, Shawn D. Ryan
, Andrew Resnick

Cleveland State University

Research output: Contribution to journal › Article › peer-review

Abstract

Kidney tubules are lined with flow-sensing structures, yet information about the flow itself is not easily obtained. We aim to generate a multiscale biomechanical model for analyzing fluid flow and fluid-structure interactions within an elastic kidney tubule when the driving pressure is pulsatile. We developed a two-dimensional macroscopic mathematical model of a single fluid-filled tubule corresponding to a distal nephron segment and determined both flow dynamics and wall strains over a range of driving frequencies and wall compliances using finite-element analysis. The results presented here demonstrate good agreement with available analytical solutions and form a foundation for future inclusion of elastohydrodynamic coupling by neighboring tubules. Overall, we are interested in exploring the idea of dynamic pathology to better understand the progression of chronic kidney diseases such as Polycystic Kidney Disease.

Original language	American English
Journal	Mathematical Biosciences and Engineering
Volume	17
DOIs	https://doi.org/10.3934/mbe.2020094
State	Published - Jan 1 2020

Keywords

fluid-structure interactions; modeling; pulsatile flow; kidney; physiology

Disciplines

Applied Mathematics
Fluid Dynamics

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Pulsatile Flow Through Idealized Renal Tubules Fluid-structure IFinal published version, 2.81 MBLicense: CC BY
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title = "Pulsatile Flow Through Idealized Renal Tubules: Fluid-structure Interaction and Dynamic Pathologies",

abstract = " Kidney tubules are lined with flow-sensing structures, yet information about the flow itself is not easily obtained. We aim to generate a multiscale biomechanical model for analyzing fluid flow and fluid-structure interactions within an elastic kidney tubule when the driving pressure is pulsatile. We developed a two-dimensional macroscopic mathematical model of a single fluid-filled tubule corresponding to a distal nephron segment and determined both flow dynamics and wall strains over a range of driving frequencies and wall compliances using finite-element analysis. The results presented here demonstrate good agreement with available analytical solutions and form a foundation for future inclusion of elastohydrodynamic coupling by neighboring tubules. Overall, we are interested in exploring the idea of dynamic pathology to better understand the progression of chronic kidney diseases such as Polycystic Kidney Disease.",

keywords = "fluid-structure interactions; modeling; pulsatile flow; kidney; physiology",

author = "Niksa Praljak and Ryan, \{Shawn D.\} and Andrew Resnick",

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language = "American English",

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T1 - Pulsatile Flow Through Idealized Renal Tubules: Fluid-structure Interaction and Dynamic Pathologies

AU - Praljak, Niksa

AU - Ryan, Shawn D.

AU - Resnick, Andrew

PY - 2020/1/1

Y1 - 2020/1/1

N2 - Kidney tubules are lined with flow-sensing structures, yet information about the flow itself is not easily obtained. We aim to generate a multiscale biomechanical model for analyzing fluid flow and fluid-structure interactions within an elastic kidney tubule when the driving pressure is pulsatile. We developed a two-dimensional macroscopic mathematical model of a single fluid-filled tubule corresponding to a distal nephron segment and determined both flow dynamics and wall strains over a range of driving frequencies and wall compliances using finite-element analysis. The results presented here demonstrate good agreement with available analytical solutions and form a foundation for future inclusion of elastohydrodynamic coupling by neighboring tubules. Overall, we are interested in exploring the idea of dynamic pathology to better understand the progression of chronic kidney diseases such as Polycystic Kidney Disease.

AB - Kidney tubules are lined with flow-sensing structures, yet information about the flow itself is not easily obtained. We aim to generate a multiscale biomechanical model for analyzing fluid flow and fluid-structure interactions within an elastic kidney tubule when the driving pressure is pulsatile. We developed a two-dimensional macroscopic mathematical model of a single fluid-filled tubule corresponding to a distal nephron segment and determined both flow dynamics and wall strains over a range of driving frequencies and wall compliances using finite-element analysis. The results presented here demonstrate good agreement with available analytical solutions and form a foundation for future inclusion of elastohydrodynamic coupling by neighboring tubules. Overall, we are interested in exploring the idea of dynamic pathology to better understand the progression of chronic kidney diseases such as Polycystic Kidney Disease.

KW - fluid-structure interactions; modeling; pulsatile flow; kidney; physiology

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/339

U2 - 10.3934/mbe.2020094

DO - 10.3934/mbe.2020094

M3 - Article

VL - 17

JO - Mathematical Biosciences and Engineering

JF - Mathematical Biosciences and Engineering

ER -

Pulsatile Flow Through Idealized Renal Tubules: Fluid-structure Interaction and Dynamic Pathologies

Abstract

Keywords

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