Note on the growth of bacterial populations

In this note the explicit solution is given to an equation, suggested by C. N. Hinshelwood (1946), describing the growth of a bacterial population under the assumption that toxic products are a limiting factor. The behavior of the culture as a function of time and the parameters (initial number, rate of growth, and rate of production of toxic substance) is discussed. Public Health Service Research Fellow of the National Cancer Institute, National Institutes of Health, Federal Security Agency.