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. Author manuscript; available in PMC: 2014 Nov 1.
Published in final edited form as: Ann Biomed Eng. 2013 Jul 11;41(11):10.1007/s10439-013-0828-0. doi: 10.1007/s10439-013-0828-0

FIGURE 11.

FIGURE 11

Krogh cylinder solution of tissue oxygen perfusion from a single vessel, comparison of analytical and discrete methods. (a) Analytical solution of a Krogh cylinder with capillary radius (rC = 5 μm) and capillary length (L = 1000 μm) and surrounding tissue radius (rT = 40 μm) and a constant injection of solute (C0 = 5 μM/mL). This radial distribution was determined at z = 570 μm. (b) Solution of the same system using the discrete approach described in this paper. (c) Discrete radial concentration of solute compared to realizations of the analytical solution for z = 569 mm and z = 571 mm (d) axial distribution of oxygen between the analytical and the discrete solution.