Development of mathematical models (Logistic, Gompertz and Richards models) describing the growth pattern of Pseudomonas putida (NICM 2174)

Bacterial growth curve, which is asymptotic after a certain period, is desc ribed using three different mathematical models, namely, Logistic model, Go mpertz model and Richards model. The equations for these three models are f itted by evaluating the mathematical parameters involved in these models. T his is done by applying the method of partial sums to the data in Table 1 c ontaining the optical density values for different cell mass at different t ime intervals. The sum of square of residuals between the expected optical density values and the experimental values is calculated for each of these models. In the cases tested, the Logistic model was found to be the best fi t for the growth curve of Pseudomonas putida (NICM 2174) and was found to b e easy to use. These results fit the data very well at 5% level for more th an 70% of the readings.