A mathematical analysis of the velocity factor of the oxygenation of the red cell has been performed in connection with the experimental data presented in the foregoing papers. The concise expression of the velocity factor, F_c, is expressed as follows:
F_c=F_s^1.26μ₁²αD/δ²F_s^1.21+μ₁²αD
where F_s^1.26 is the velocity factor of the chemical reaction in the red cell;δ, the thickness of the red cell; D, the diffusion coefficient;α, the O₂ solubility and μ₁, the eigen value.