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A moving boundary model for oxygen diffusion in a sick cell

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  • Nadjate Djellab
  • Abdellatif Boureghda

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).

Suggested Citation

  • Nadjate Djellab & Abdellatif Boureghda, 2022. "A moving boundary model for oxygen diffusion in a sick cell," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 25(12), pages 1402-1408, August.
    • Handle: RePEc:taf:gcmbxx:v:25:y:2022:i:12:p:1402-1408
    DOI: 10.1080/10255842.2021.2024168
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    Cited by:

    1. Lixia Xiao & Peng Xia & Shugong Zhang, 2024. "On the Univariate Vector-Valued Rational Interpolation and Recovery Problems," Mathematics, MDPI, vol. 12(18), pages 1-16, September.

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