An analytical solution for diffusion and nonlinear uptake of oxygen in a spherical cell
نویسندگان
چکیده
منابع مشابه
AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA
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) d...
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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) d...
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15 صفحه اولOn oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics.
describes the steady-state oxygen diffusion in a spherical cell with MichaelisMenten oxygen uptake kinetics (Lin, 1976; McElwain, 1978). Throughout the paper, primes denote differentiation with respect to r. A l l quantities in (1) and (2) are dimensionless, where the normalized variables C and r represent the oxygen tension and the radial distance. The radius of the cell corresponds to r = 1, ...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2012
ISSN: 0307-904X
DOI: 10.1016/j.apm.2011.09.071