TY - JOUR
T1 - Axial diffusion and Michaelis-Menten kinetics in oxygen delivery in rat peripheral nerve
AU - Lagerlund, T. D.
AU - Low, P. A.
PY - 1991
Y1 - 1991
N2 - Our simulation of the release, diffusion, and consumption of oxygen in the capillaries and surrounding tissue of peripheral nerve now includes axial diffusion in blood and in surrounding tissue, in addition to bulk flow of blood and radial diffusion of oxygen out of the capillary. Our simulation assumes that the oxygen consumption of nerve tissue obeys Michaelis-Menten kinetics rather than zero-order kinetics as had been assumed in the Krogh model. We can calculate the oxygen tension at all points in the capillary and surrounding tissue as a function of distance from the center of the nearest capillary and distance along the capillary from the arterial to the venous end. Using average measured values for microcirculatory parameters in rat nerve, we calculated a distribution of oxygen tension values that agrees with experimentally measured distributions. The effects of axial diffusion and of Michaelis-Menten kinetics on the oxygen distributions were noticeable under normal conditions, but these effects were much more important in situations in which oxygen delivery was adversely affected.
AB - Our simulation of the release, diffusion, and consumption of oxygen in the capillaries and surrounding tissue of peripheral nerve now includes axial diffusion in blood and in surrounding tissue, in addition to bulk flow of blood and radial diffusion of oxygen out of the capillary. Our simulation assumes that the oxygen consumption of nerve tissue obeys Michaelis-Menten kinetics rather than zero-order kinetics as had been assumed in the Krogh model. We can calculate the oxygen tension at all points in the capillary and surrounding tissue as a function of distance from the center of the nearest capillary and distance along the capillary from the arterial to the venous end. Using average measured values for microcirculatory parameters in rat nerve, we calculated a distribution of oxygen tension values that agrees with experimentally measured distributions. The effects of axial diffusion and of Michaelis-Menten kinetics on the oxygen distributions were noticeable under normal conditions, but these effects were much more important in situations in which oxygen delivery was adversely affected.
KW - Mathematical modeling
KW - Nerve oxygen consumption
KW - Nerve tissue oxygenation
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U2 - 10.1152/ajpregu.1991.260.2.r430
DO - 10.1152/ajpregu.1991.260.2.r430
M3 - Article
C2 - 1996727
AN - SCOPUS:0026081303
SN - 0002-9513
VL - 260
SP - R430-R440
JO - American Journal of Physiology - Regulatory Integrative and Comparative Physiology
JF - American Journal of Physiology - Regulatory Integrative and Comparative Physiology
IS - 2 29-2
ER -