| kin | deactivation constant. |
| Km | affinity constant. |
| Ks | substrate inhibition constant. |
| m | deactivation order. |
| n | reaction order value affecting the concentration of substrate and affinity constant. |
| r and rs | the specific consumption rate of substrate i. |
| rx | the specific rate of biomass formation. |
| rmax | the maximum specific consumption rate of substrate i. |
| [Si] | the concentration of substrate i. |
| X | the concentration of biomass. |
| Yx/s | biomass yield from substrate. |
| µ | the specific rate of biomass formation. |
| µmax | the maximum specific rate of biomass formation |
| θX | dimensionless cell deactivation. |
| θss | residual dimensionless activity. |