Activation reactions involve modification of recalcitrant substrates to for
ms that are more readily degradable. These reactions require specialized en
zymes and cosubstrates, including molecular oxygen and reduced electron car
riers. In these reactions, microorganisms invest electrons and cannot captu
re energy or carbon for synthesis. The subsequent degradation of the interm
ediates formed in activation reactions releases electrons, energy, and carb
on that the organisms use for growth. The overall yield is reduced due to t
he required activation investments. A mathematical method to predict cell y
ields of oxygenase activation reactions is developed using electron and ene
rgy balances. Predicted yields are compared with experimental yields for me
thane, organic chelating agents, and aromatic hydrocarbons.