Although different in shapes, the simulation results showed that the performance of normal, lognormal,
Gumbel, and gamma distributions was practically the same when used to fit the growth curve, yielding the
same estimates of initial and stationary phase bacterial concentrations, specific growth rate, and mean lag
time as well as RSS. The lognormal, Gumbel, and gamma distributions of the lag times were slightly skewed
to the right of the mean. The standard deviations of the lag times with these distributions were relatively
small, suggesting that cells may leave the lag phase almost simultaneously. The Weibull and exponential distributions
were also suitable for describing the distribution of lag times, but with larger standard deviations.
In general, all these statistical distributions were found suitable for simulating the distribution of lag times
of individual cells in a population.
Although different in shapes, the simulation results showed that the performance of normal, lognormal,Gumbel, and gamma distributions was practically the same when used to fit the growth curve, yielding thesame estimates of initial and stationary phase bacterial concentrations, specific growth rate, and mean lagtime as well as RSS. The lognormal, Gumbel, and gamma distributions of the lag times were slightly skewedto the right of the mean. The standard deviations of the lag times with these distributions were relativelysmall, suggesting that cells may leave the lag phase almost simultaneously. The Weibull and exponential distributionswere also suitable for describing the distribution of lag times, but with larger standard deviations.In general, all these statistical distributions were found suitable for simulating the distribution of lag timesof individual cells in a population.
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