A novel model for allometric scaling laws for different organs

The power function of metabolic rate scaling for an organ is established as B organ ∼ T organ ( D + N / 6 ) / ( D + 1 ) , where B organ is the metabolic rate of the organ, T organ is its mass, D is its fractal dimension of the total cell boundary, and N is its cell’s degree of freedom of motion. This prediction agrees quite well with the experimental data for the brain, liver, heart, and kidneys, and it explains very well the reason why the maximal metabolic rate induced by exercise scales with M 0.86 rather then M 0.75.