A multi-domain shear-stress dependent diffusive model of cell transport-aided dialysis: analysis and simulation.

Autor: Viguerie A; Division of Mathematics, Gran Sasso Science Institute, Viale Francesco Crispi 7, L'Aquila, AQ 67100, Italy., Swapnasrita S; Department of Cell-Biology Inspired Tissue Engineering, MERLN Institute for Technology-Inspired Regenerative Medicine, Maastricht University, 6229 ER, Maastricht, the Netherlands., Veneziani A; Department of Mathematics, Emory University, 400 Dowman Drive, Atlanta, GA 30322, USA.; Department of Computer Science, Emory University, 400 Dowman Drive, Atlanta, GA 30322, USA., Carlier A; Department of Cell-Biology Inspired Tissue Engineering, MERLN Institute for Technology-Inspired Regenerative Medicine, Maastricht University, 6229 ER, Maastricht, the Netherlands.
Jazyk: angličtina
Zdroj: Mathematical biosciences and engineering : MBE [Math Biosci Eng] 2021 Sep 18; Vol. 18 (6), pp. 8188-8200.
DOI: 10.3934/mbe.2021406
Abstrakt: 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.
Databáze: MEDLINE