Stochastic Modeling of In Vitro Bactericidal Potency.

We provide a Galton-Watson model for the growth of a bacterial population in the presence of antibiotics. We assume that bacterial cells either die or duplicate, and the corresponding probabilities depend on the concentration of the antibiotic. Assuming that the mean offspring number is given by [Formula: see text] for some [Formula: see text], where c stands for the antibiotic concentration we obtain weakly consistent, asymptotically normal estimator both for [Formula: see text] and for the minimal inhibitory concentration, a relevant parameter in pharmacology.