Semi-analytical approach to study the nonlinear oxygen absorption kinetics and oxygen diffusion in a spherical cell
Semi-analytical approach to study the nonlinear oxygen absorption kinetics
Abstract
The phenomenon of oxygen diffusion in spherical cells, governed by Michaelis-Menten uptake kinetics, gives rise to a class of challenging singular boundary value problems. A semi analytical method namely differential transform method is proposed to acquire analytical solution of aforesaid with nonlinear uptake kinetics. The proposed method is found to produce more trustworthy findings when the obtained results are compared with those available in the literature. We discuss the impact of the maximal reaction rate, Michaelis constant, and cell membrane permeability on the dimensionless oxygen concentration, supported by numerical and graphical results. The proposed method ability to handle the strongly nonlinear term make it a promising tool.
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