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

Mohammad Izadi; Yogeshwari F.  Patel; Mahdi Kamandar

doi:10.5269/bspm.78847

Auteurs-es

Mohammad Izadi Shahid Bahonar University of Kerman https://orcid.org/0000-0002-6116-4928
Yogeshwari F. Patel Charotar University of Science and Technology https://orcid.org/0000-0002-3355-2528
Mahdi Kamandar Shahid Bahonar university of kerman https://orcid.org/0000-0002-4554-9887

DOI :

https://doi.org/10.5269/bspm.78847

Résumé

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.

Biographies de l'auteur-e

Yogeshwari F. Patel, Charotar University of Science and Technology

Department of Mathematical Sciences, P D Patel Institute of Applied Sciences, \\Charotar University of Science and Technology, Changa, Anand, Gujarat 388421, India
Mahdi Kamandar, Shahid Bahonar university of kerman

Department of Applied Mathematics, Faculty of Mathematics and Computer,\\
Shahid Bahonar University of Kerman, Kerman, Iran