A reliable analysis of oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics

DOI10.1142/S179352451450020XzbMath1330.92037OpenAlexW1967901509MaRDI QIDQ2922100

Jun-Sheng Duan, Abdul-Majid Wazwaz, Randolph C. Rach

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451450020x

zbMATH Keywords

Adomian decomposition methodMichaelis-Menten kineticsAdomian polynomialsoxygen diffusionVolterra integral form

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell biology (92C37) Physiological flow (92C35)

Related Items (5)

An efficient method for oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics ⋮ A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology ⋮ Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods ⋮ Optimized direct Padé and HPM for solving equation of oxygen diffusion in a spherical cell ⋮ On the solutions of an oxygen absorption model

Cites Work

• Partial differential equations and solitary waves theory
• Solving frontier problems of physics: the decomposition method
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