Anti-oxidant potential is a scientific term used for a type of biological activity. It is important in order to understanding ways which plant and animal cells interact with the environment. However anti-oxidant potential measurements are influenced by three constituents in cells. It is the physical constraints on compounds that profoundly affect anti-oxidant potential, yet, the biological constraints affect physical and chemical constraints. To tailor design new drugs, potential gradients need to be known so that efficiency in drug commercialisation is achieved. This paper provides insight into anti-oxidant potentials in plant and eukaryote (animal/human) cells.