 After calculating the search time for a target protein, alternating between the 3-D and 1-D diffusion phases on the chromatin fractal structure, it was deduced that facilitated diffusion in eukaryotes precipitates the searching process and minimizes the searching time by increasing the DNA-protein affinity.Oxygen binds with red blood cells in the blood stream.The oxygen affinity with hemoglobin on red blood cell surfaces enhances this bonding ability.