Question: Determine (A) the maximum inter-capillary half distance (or critical radius) for skeletal muscle given that the diffusion coefficient of oxygen in the interstitial tissue is

Determine (A) the maximum inter-capillary half distance (or critical radius) for skeletal muscle given that the diffusion coefficient of oxygen in the interstitial tissue is 2.0 10^(-5) (cm^2)/s and the reaction rate of oxygen in the skeletal muscle tissue is 110^(-7) mol/(cm^3 s). Assume the oxygen concentration at the capillary surface to be constant at 4.05 10^(-8) mol/(cm^3 ). Assume the capillaries in the skeletal muscle have (external) diameters of 3 micro meters. (B) Repeat the same calculations for a capillary in the brain where the reaction rate is 2.3410^-8 mol/cm^3s and the capillary diameter is 5 mm; all other parameters are the same. (Hint: the maximum critical radius occurs at the beginning when z=0. Also, since you were given the surface concentration, you do not need to include the term that accounts for transport across the capillary wall.) (Ans: R cr,muscle =26.2 m)

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