Verify the expression for the critical Thiele modulus for the oxygen concentration to become zero at \(R_{0}\) in the tissue as a function of \(\kappa\), the ratio of the capillary diameter to the unit cell diameter of the tissue given in the text.

Apply the model to the following data (from Truskey et al. (2004)) to find the maximum intercapillary radius for there to be no anoxic region:
Metabolic rate \(=1 \times 10^{-7} \mathrm{~mol} / \mathrm{cm}^{3} \cdot \mathrm{s}\)
Capillary radius \(1.5-4 \mu \mathrm{m}\)
\(D_{\mathrm{O}_{2}}=2 . \times 10^{-5} \mathrm{~cm}^{2} / \mathrm{s}\) in tissue Oxygen concentration in blood at the given point \(4.05 \times 10^{-8} \mathrm{~mol} / \mathrm{cm}^{3}\)