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Some factors affecting the transient cylindrical diffusion of oxygen in an artificial capillary model and comparisons with in vivo data
Journal article   Peer reviewed

Some factors affecting the transient cylindrical diffusion of oxygen in an artificial capillary model and comparisons with in vivo data

Claire Ann Thuning and Donald G. Buerk
Microvascular research, v 4(1), pp 13-25
1972
PMID: 4556515

Abstract

In vivo studies of cat gastrocnemius and soleus muscles in which we recorded PO 2 disappearance curves following arterial occlusion initiated these studies. 2 2 We wish to thank Dr. Roger A. Ganfield, Ph.D., for his invaluable help in the early stages of these studies. Our thanks to Dr. W. J. Whalen, Ph.D., for encouragement and guidance in our work and to Sister Helen Kuhn for assistance in obtaining some of the in vivo data. Each muscle demonstrated a characteristic curve and explanations based on myoglobin content and oxygen consumption rate were indicated. The following studies were performed in an attempt to resolve our inquiries. Oxygen consumption rate and Krogh's diffusion coefficient were varied independently in a silastic artificial vessel-tissue chamber in which yeast was the metabolizing media. After establishing a flow rate which assured negligible longitudinal gradients, steady-state PO 2 profiles were taken using 200 μ radial intervals. At each level the disappearance curve of PO 2 was also measured during stopped flow. The steady-state values agreed closely with values calculated from the steady-state cylindrical diffusion equation. The decay curves were studied to determine the effects of V ̇ O 2 , DS, and r on the time coefficient in order to obtain a closed form approximate solution to the transient cylindrical diffusion equation for oxygen in a metabolizing media. While no one equation was found which contained these parameters and was specific to the curves, three relationships were determined empirically to define three distinct sections of the curves. Future experiments in which all parameters are measured will allow application of the equation to in vivo studies.

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