The distributions of times to first cell division were determined for populations of Escherichia coli stationaryphase cells inoculated onto agar media. This was accomplished by using automated analysis of digital images of individual cells growing on agar and calculation of the "box area ratio." Using approximately 300 cells per experiment, the mean time to first division and standard deviation for cells grown in liquid medium at 37°C and inoculated on agar and incubated at 20°C were determined as 3.0 h and 0.7 h, respectively. Distributions were observed to tail toward the higher values, but no definitive model distribution was identified. Both preinoculation stress by heating cultures at 50°C and postinoculation stress by growth in the presence of higher concentrations of NaCl increased mean times to first division. Both stresses also resulted in an increase in the spread of the distributions that was proportional to the mean division time, the coefficient of variation being constant at approximately 0.2 in all cases. The "relative division time," which is the time to first division for individual cells expressed in terms of the cell size doubling time, was used as measure of the "work to be done" to prepare for cell division. Relative division times were greater for heat-stressed cells than for those growing under osmotic stress.When modeling the behavior of bacterial populations under different environmental conditions, the key kinetic parameters of the growth curve are the duration of the lag phase and the maximum specific growth rate. Lag time depends on both the environmental conditions and the physiological state of the inoculum and is thus more difficult to predict than growth rate, which, for a given organism, is an autonomous property defined by the environment alone (16,17). The lag times of cell populations are conventionally measured geometrically as the time at which a tangent to the point of maximum slope on a plot of log of bacterial concentration versus time crosses a horizontal projection of the inoculum concentration. However, when pathogenic bacteria are present in food, they are often found in very low numbers and the distribution of individual lag times within cell populations then becomes an important consideration in risk assessment.Lag time distributions can be determined directly by observing single cells under the microscope (5,11,22,25,32) or indirectly by measuring the time to produce a detectable optical density change in replicate cultures inoculated with approximately one cell using an automated growth analyzer such as the Bioscreen apparatus (7,12,19,26,29,31,32). An alternative indirect method consists of measuring the time to reach a certain colony size from single cells inoculated on an agar plate (8). Indirect methods are more convenient than microscopic methods and are essential when studying severely stressed populations containing only a few viable survivors.