A moving boundary model for oxygen diffusion in a sick cell. Issue 12 (30th August 2022)

• Record Type: Journal Article
• Authors: Djellab, Nadjate; Boureghda, Abdellatif
• Is Part Of: Computer methods in biomechanics and biomedical engineering. Volume 25:Issue 12(2022)
• Page Start: 1402
• Page End: 1408
• Publication Date: 2022-08-30
• Subjects: Constrained integral method -- oxygen diffusion -- moving boundary problem -- Stefan problem; 35R35 -- 80A22 -- 65M06 -- 65N06; Biomechanics -- Data processing -- Periodicals; Biomedical engineering -- Periodicals; Biomechanics -- Periodicals; Biomedical Engineering -- methods -- Periodicals; Computing Methodologies -- Periodicals; 612.7
• DOI: 10.1080/10255842.2021.2024168
• Languages: English
• ISSNs: 1025-5842

Abstract

Abstract: In this paper we use an approximate analytical method for numerical solution of one dimensional moving boundary problem. We consider the oxygen diffusion problem where the oxygen is allowed to diffuse into a sick cell which absorbs and immobilizes oxygen at a constant rate. Our main problem consists in tracking the moving boundary that represents the oxygen penetration depth inside the sick cell. We can find an accurate solution which is obtained by a polynomial of third and fourth degree and we show some mistakes in the paper published by Seval Çatal in (App.Math.Comput 145:361–369, 2003).