A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation
Kidney dialysis is the most widespread treatment method for end-stage renal disease, a debilitating health condition common in industrialized societies. While ubiquitous, kidney dialysis suffers from an inability to remove larger toxins, resulting in a gradual buildup of these toxins in dialysis pat...
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oai:doaj.org-article:6d5497b3213247acaf176b54adf9222b2021-11-24T01:03:44ZA multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation10.3934/mbe.20214061551-0018https://doaj.org/article/6d5497b3213247acaf176b54adf9222b2021-09-01T00:00:00Zhttps://www.aimspress.com/article/doi/10.3934/mbe.2021406?viewType=HTMLhttps://doaj.org/toc/1551-0018Kidney dialysis is the most widespread treatment method for end-stage renal disease, a debilitating health condition common in industrialized societies. While ubiquitous, kidney dialysis suffers from an inability to remove larger toxins, resulting in a gradual buildup of these toxins in dialysis patients, ultimately leading to further health complications. To improve dialysis, hollow fibers incorporating a cell-monolayer with cultured kidney cells have been proposed; however, the design of such a fiber is nontrivial. In particular, the effects of fluid wall-shear stress have an important influence on the ability of the cell layer to transport toxins. In the present work, we introduce a model for cell-transport aided dialysis, incorporating the effects of the shear stress. We analyze the model mathematically and establish its well-posedness. We then present a series of numerical results, which suggest that a hollow-fiber design with a wavy profile may increase the efficiency of the dialysis treatment. We investigate numerically the shape of the wavy channel to maximize the toxin clearance. These results demonstrate the potential for the use of computational models in the study and advancement of renal therapies.Alex ViguerieSangita SwapnasritaAlessandro VenezianiAurélie Carlier AIMS Pressarticledialysiswall shear stresscomputational fluid dynamicsrenal processesBiotechnologyTP248.13-248.65MathematicsQA1-939ENMathematical Biosciences and Engineering, Vol 18, Iss 6, Pp 8188-8200 (2021) |
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dialysis wall shear stress computational fluid dynamics renal processes Biotechnology TP248.13-248.65 Mathematics QA1-939 |
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dialysis wall shear stress computational fluid dynamics renal processes Biotechnology TP248.13-248.65 Mathematics QA1-939 Alex Viguerie Sangita Swapnasrita Alessandro Veneziani Aurélie Carlier A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
description |
Kidney dialysis is the most widespread treatment method for end-stage renal disease, a debilitating health condition common in industrialized societies. While ubiquitous, kidney dialysis suffers from an inability to remove larger toxins, resulting in a gradual buildup of these toxins in dialysis patients, ultimately leading to further health complications. To improve dialysis, hollow fibers incorporating a cell-monolayer with cultured kidney cells have been proposed; however, the design of such a fiber is nontrivial. In particular, the effects of fluid wall-shear stress have an important influence on the ability of the cell layer to transport toxins. In the present work, we introduce a model for cell-transport aided dialysis, incorporating the effects of the shear stress. We analyze the model mathematically and establish its well-posedness. We then present a series of numerical results, which suggest that a hollow-fiber design with a wavy profile may increase the efficiency of the dialysis treatment. We investigate numerically the shape of the wavy channel to maximize the toxin clearance. These results demonstrate the potential for the use of computational models in the study and advancement of renal therapies. |
format |
article |
author |
Alex Viguerie Sangita Swapnasrita Alessandro Veneziani Aurélie Carlier |
author_facet |
Alex Viguerie Sangita Swapnasrita Alessandro Veneziani Aurélie Carlier |
author_sort |
Alex Viguerie |
title |
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
title_short |
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
title_full |
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
title_fullStr |
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
title_full_unstemmed |
A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
title_sort |
multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation |
publisher |
AIMS Press |
publishDate |
2021 |
url |
https://doaj.org/article/6d5497b3213247acaf176b54adf9222b |
work_keys_str_mv |
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