The Theoretical Prediction of Substrate Levels and Their Histograms in Cell Free Perfused Tissues
The development of experimental techniques to study substrate levels in the isolated perfused heart and brain have renewed interest in the mathematical modelling of perfused capillary-tissue structures. We have reconsidered an analytic representation of the Krogh cylinder model for capillary-tissue structures and relate this mathematical model to experimental data through histograms of the oxygen (PO2) distribution. Model histograms are computed for experimental parameters of interest and changes in the histogram associated with changes in model parameters, especially diffusion constants, are demonstrated.
KeywordsSeries Solution Radial Diffusion Substrate Level Axial Diffusion Perfuse Heart
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