Abstract
Mathematical solutions for oxygen concentration gradients predicted by a one-dimensional, steady-state model of oxygen diffusion and chemical reaction are compared with experimental PO 2 microelectrode measurements in rat brain and liver tissue slices. Four kinetic relationships are investigated: zero-order kinetics, first-order kinetics, zero- to first-order kinetics, and Michaelis—Menten (saturation) kinetics. An optimization method is used to estimate parameters for each model in both tissues and average metabolic rates are calculated for comparison with literature values for whole organ oxygen consumption. The computer simulations indicate that the Michaelis—Menten kinetic model provides the most accurate fit of the experimentally observed PO 2 gradients. From the K m values for the Michaelis—Menten model, we conclude that brain tissue has a higher affinity for oxygen than liver tissue. Furthermore, the results from this study imply that the apparent kinetics for oxygen consumption in tissue differs from the kinetics for mitochondrial suspensions.
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