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The Mathematics of Oxygen and Substrate Diffusion (Paperback)
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The Mathematics of Oxygen and Substrate Diffusion (Paperback)
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A theoretical model for oxygen and substrate transport to tissues
within skeletal muscle involving several interacting capillaries
has been developed. It involves an elegant technique that
discretizes the transport problem in a tissue with large number of
capillaries. The technique can be equally applied to other heat
transport problems with actual anatomical information. For oxygen,
the role of myoglobin and the effect of axial diffusion have been
considered. For the myoglobin model, myoglobin facilitates oxygen
diffusion into tissue and can prevent hypoxia due to the
interaction of the capillaries. The analysis yields a great deal of
information about hypoxia, since as shown, a multicapillary model
of the type presented here is needed to determine if the tissue is
truly hypoxic. Because capillary length is large compared to
capillary spacing, axial diffusion is a small perturbation to the
solution without axial diffusion. The effect of axial diffusion is
found using perturbation methods. For the substrate model, there
can be large differences between the substrate concentration in the
capillary and that in the tissue, depending on the permeability of
the capillary endothelium.
General
Imprint: |
VDM Verlag
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Country of origin: |
Germany |
Release date: |
November 2008 |
First published: |
November 2008 |
Authors: |
Miranda Teboh-Ewungkem
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Dimensions: |
229 x 152 x 8mm (L x W x T) |
Format: |
Paperback - Trade
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Pages: |
156 |
ISBN-13: |
978-3-639-09777-1 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
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LSN: |
3-639-09777-7 |
Barcode: |
9783639097771 |
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