A combination formula of Michaelis-Menten-Monod type

The purpose of this paper is to present a general formula for the growth rate of unicellular microorganisms. A generalization of the Michaelis-Menten-Monod formula for the growth rate of microorganisms is derived and discussed. If nutrients and inhibitors are considered as limiting substances and assumed to be noninteracting, this generalized formula works for more than one limiting substance. Both competitive and noncompetitive inhibitors are included. This general form of Michaelis-Menten law is analytically derived from a few basic hypotheses; it yields both multiplicative and minimum formulas as limiting cases.