Abstract
A unified theory for microbial growth under multiple nutrient limitation is presented. The theory has a probabilistic foundation and gives the well-known threshold and product models as special cases. The threshold model is obtained for full correlation of cell division activation levels which would occur for a single species from a single clone, growing synchronously. In contrast, the product model applies to zero correlation of the activation levels which is likely to be found in a mixed culture. The growth kinetics for each limiting nutrient acting separately, while others are at saturation, can be any of the well-known types; e.g. Monod or exponential, or the more general logit (Moser) and Weibull models. The Weibull model is given a novel probabilistic basis.
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