A FREE BOUNDARY MODEL FOR OXYGEN DIFFUSION IN A SPHERICAL MEDIUM-Reference-Cited by-同舟云学术

A FREE BOUNDARY MODEL FOR OXYGEN DIFFUSION IN A SPHERICAL MEDIUM

Published:2015-01 Issue:supp01 Volume:23 Page:S67-S76
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

GONZÁLEZ A. M.¹,REGINATO J. C.²,TARZIA D. A.³

Affiliation:

1. Departamento de Matemática, Facultad de Ciencias Exactas, Físico-Químicas y Naturales, Universidad Nacional de Río Cuarto, Ruta 36 Km 601, X5804BYA Río Cuarto, Córdoba, Argentina

2. Departamento de Física, Facultad de Ciencias Exactas, Físico-Químicas y Naturales, Universidad Nacional de Río Cuarto, Ruta 36 Km 601, X5804BYA Río Cuarto, Córdoba, Argentina

3. Departamento de Matemática and CONICET, FCE, Universidad Austral, Paraguay 1950, S2000FZF Rosario, Santa Fe, Argentina

Abstract

The goal of this article is to find a correct approximated solution using a polynomial of sixth degree for the free boundary problem corresponding to the diffusion of oxygen in a spherical medium with simultaneous absorption at a constant rate, and to show some mistakes in previously published solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339015400069

Reference9 articles.

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3. A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

4. A numerical method for oxygen diffusion and absorption in a sike cell