TY - JOUR
AU - Vazquez-Leal, Hector
AU - Sandoval-Hernandez, Mario
AU - Castaneda-Sheissa, Roberto
AU - Filobello-Nino, Uriel
AU - Sarmiento-Reyes, Arturo
TI - Modified Taylor solution of equation of oxygen diffusion in a spherical cell with Michaelis-Menten uptake kinetics
PY - 2015/03/09
Y2 - 2024/07/13
JF - International Journal of Applied Mathematical Research
JA - IJAMR
VL - 4
IS - 2
SE - Articles
LA -
DO - 10.14419/ijamr.v4i2.4273
UR - https://doi.org/10.14419/ijamr.v4i2.4273
SP - 253-258
AB - This work presents the application of a modified Taylor method to obtain a handy and easily computable approximate solution of the nonlinear differential equation to model the oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics. The obtained solution is fully symbolic in terms of the coefficients of the equation, allowing to use the same solution for different values of the maximum reaction rate, the Michaelis constant, and the permeability of the cell membrane. Additionally, the numerical experiments show the high accuracy of the proposed solution, resulting 1.658509453Ã…~10âˆ’15 as the lowest mean square error for a set of coefficients. The straightforward process to obtain the solution shows that the modified Taylor method is a handy alternative to a more sophisticated method because does not involve the solving of differential equations or calculate complicated integrals.
ER -