Rapid parameter estimation of four non-linear growth models for analyzing the growth of Escherichia Coli

In this paper we develop five new methods of estimation to estimate the parameters of four widely used nonlinear models namely Haldane, Powell, Moser and Webb model. A standard growth data set of Escherichia Coli is considered for estimating the parameters. The estimated model parameters are analyzed by evaluating statistical parameters chi(2) , Root Mean Square Error, R-2 , R-a(2) and R-pre(2) . As a result, the Powell model gives the best fit with estimation of R-2 as 99.7% with respect to method IV. Moreover, the other three models also provide remarkable fit along with the newly introduced methods. Method II gives R-2 value as 99% in case of the Haldane model. The method IV estimates with R-2 value as 99.6% in the Moser model and the method III estimates with R 2 value as 99.4% in case of the Webb model.