Modeling hemodialysis with albumin retention. Issue 12 (13th August 2022)

• Record Type: Journal Article
• Authors: Farina, Angiolo; Fasano, Antonio; Rosso, Fabio; Shekari, Younes
• Is Part Of: Applicable analysis. Volume 101:Issue 12(2022)
• Page Start: 4095
• Page End: 4112
• Publication Date: 2022-08-13
• Subjects: Hemodialysis -- mathematical modeling; 76D08; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2022.2078714
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : We develop a new mathematical model for cross filtration in a dialyzer, taking into account the membrane fouling caused by progressive protein deposition. We focus on a single fiber and, starting from the basic laws of fluid dynamics and exploiting the smallness of the aspect ratio of fibers, we obtain significant simplifications of the flow equations. We end up with a hyperbolic system that describes the temporal evolution (specifically the decrease) of the filtering efficiency caused by the albumin deposit. Such an effect is then described quantitatively by means of numerical simulations.