AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA

Subject Areas : International Journal of Mathematical Modelling & Computations

Deepti Seth ¹

1 -

Received: 2016-04-14 Accepted : 2016-04-14 Published : 2016-06-21

Keywords: Taylor series, Oxygen diffusion, Michaelis-Menten Kinetics,

Abstract :

A simple mathematical model of steady state oxygen distribution subject to diffusive transport and non- linear uptake in a retinal cylinder has been developed. The approximate analytical solution to a reaction- diffusion equation are obtained by using series expansions. The computational results for the scaled variables are presented through graphs. The effect of the important parameters (1) diffusion coefficient (2) metabolic rate constant (3) retinal capillary concentration are examined and discussed.