Entropy and its relationship to allometry

Researchers have found that the metabolisms of organisms appear to scale proportionally to a 3/4 power of their mass. Mathematics in this article suggests that the capacity of isotropic energy distribution scales up by a 4/3 power as size, and therefore the degrees of freedom of its circulatory system, increases. Cellular metabolism must scale inversely by a 3/4 power, likely to prevent the 4/3 scaling up of the energy supply overheating the cells. The same 4/3 power scaling of energy distribution may explain cosmological dark energy.