“…We are interested in measuring the steady state concentrations of biomass X , primary carbon source S 1 , and secondary carbon source S 2 as well as the specific activity of enzyme E 1 . These quantities are denoted x , s 1 , s 2 , and e 1 , respectively, and satisfy the mass balances: where s f ,1 , s f ,2 denote the respective feed concentrations of S 1 , S 2 ; and μ , r s ,1 , r s ,2 , r e ,1 denote the respective specific rates of growth, consumption of substrate, and expression of a stable intracellular protein (Pfeffer et al., 2011; Singh and Narang, 2020). It follows from Eqs.…”