On the computation of substrate levels in perfused tissues |
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| Authors: | John E. Fletcher Roy W. Schubert |
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| Affiliation: | Laboratory of Applied Studies, Division of Computer Research and Technology, N.I.H., Bethesda, Maryland 20205 USA;Department of Biomedical Engineering, Louisiana Tech University, Ruston, Louisiana 71272 USA |
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| Abstract: | The recent development of experimental techniques to study the isolated perfused heart and brain have renewed interest in the mathematical modeling of capillary-tissue structures. A new analytical representation is developed for the Krogh cylinder model for blood-tissue structures, and a scheme is presented for determining an asymptotic series approximation for this solution. This solution is explored for model parameters of experimental interest, and the contribution and effect of axial diffusion is demonstrated. |
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