Transient effects on the initial rate of oxygenation of red blood cells |
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Authors: | M Weingarden H Mizukami Stephan A Rice |
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Institution: | (1) Department of Biological Sciences, Wayne State University, 48202 Detroit, Michigan, USA;(2) Chemistry Division, AERE, Building 540. 1, OX11 ORA Harwell, Oxon, UK |
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Abstract: | The rate-controlling process in the oxygenation of red blood cells is investigated using a Roughton-like model for oxygen
diffusion and reaction with hemoglobin. The mathematical equations describing the model are solved using two independent techniques,
numerical inversions of the Laplace transform of the equations and numerical solutions via an implicit-explicit finite difference
form of the equations.
The model is used to re-examine previous theoretical models that incorporate either a red cell membrane that is resistive
to oxygen diffusion or an unstirred layer of water surrounding the cell. Although both models have been postulated to be equivalent,
the results of the computer simulations demonstrate significant differences between the two models in the rate of oxygenation
of the red cells, depending upon the values chosen for the diffusion coefficient for O2 in the membrane and the thickness of the water layer. The difference is apparently due to differences in the induction and
transient periods of the water layer model relative to the membrane model. |
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