Oxygen diffusion in large single-celled organisms
ABSTRACT The functional relationship between the oxygen uptake rate of a spherical, single cell organism and the external oxygen tension
is shown to be related to the dependence of the specific oxygen consumption rate, that is, the consumption rate of an infinitesimal
volume element of cellular material, on the external oxygen tension. Analytical solutions of the governing steady state diffusion
equation are obtained by dividing the system into three regions, an inner region of the sphere in which oxygen consumption
rate depends upon oxygen tension, an outer region of the sphere in which oxygen consumption rate is constant (independent
of oxygen tension), a nonconsuming membrane over the sphere that offers only resistance to oxygen diffusion, and an infinite
region outside the sphere and membrane supplying oxygen to the system. The solutions show the oxygen tension as a function
of position inside the spherical cell for a variety of system parameters.
Article: Comparative Animal PhysiologyThe American Journal of the Medical Sciences 05/1962; 243(6):818. · 1.33 Impact Factor
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ABSTRACT: The oxygen and carbon dioxide tension profiles in the in vivo cornea were calculated for the open eye in nitrogen and for the eye covered by a tight-fitting, oxygen-impermeable contact lens. The calculated profiles are somewhat dependent upon the relation of oxygen consumption rate to oxygen tension. A reasonable assumption for the oxygen consumption rate-oxygen tension relationship leads to the conclusion that for both the eye in nitrogen and the covered eye the endothelium has normal oxygen tension, the stroma has severely reduced oxygen tension, and the epithelium is almost anoxic.Experimental Eye Research - EXP EYE RES. 01/1968; 7(3):413-430.
Article: Advanced calculus for applications.