Hello,
The formulas were developed with the help of the College of Southern Idaho and are based on fairly well-known principles. However, the formulas were not meant to be precise, just accurate. That is, the specific values will vary depending on the specific tank, but the relationships between the values will be pretty consistent.
For those of you who like math, the base formulas for the bacteria populations are just logistic differential equations:
dy/dt = k*(1-y/m)
Where m=the concentration of waste at any given time.
For the chemical compositions, they are the differences between the bacterial populations:
ammonia = waste - bactrite
nitrite = bactrite - bactrate
nitrate = bactrate...since bactrate produce nitrate
MOA