Microorganism and Bacteria Kinetics Formulas and Equations Calculator

Culture Growth

Solving for specific growth rate.

specific growth rate


maximum specific growth rate (um)
substrate concentration (S)
saturation constant (KS)


maximum specific growth rate (um)
= 0
= 0
substrate concentration (S)
= 0
= 0
saturation constant (KS)
= 0
= 0


specific growth rate (u)

Other Units:

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Monod Equation - Bacteria Cultures Kinetics
specific growth rateSolve for specific growth rate.
maximum specific growth rateSolve for maximum specific growth rate.
saturation constant or half velocity constant. The concentration where specific growth rate is half of umSolve for saturation constant or half velocity constant. The concentration where specific growth rate is half of um
substrate concentrationSolve for substrate concentration.

u = specific growth rate
um = maximum specific growth rate 
KS = saturation constant 
S = substrate concentration 

References - Books:
1) P. Aarne Vesilind, J. Jeffrey Peirce and Ruth F. Weiner. 1994. Environmental Engineering. Butterworth Heinemann. 3rd ed.
2) Warren Viessman, Jr, Mark J. Hammer. 1993. Water Supply and Pollution Control. Harper Collins College Publishers. 5th ed.

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