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

Authors : Udoy Narayan Gogoi, Pallabi Saikia, Dimpal Jyoti Mahanta

Pages : 778-786

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Publication Date : 2024-06-12

Article Type : Research Paper

Abstract :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 χ2, Root Mean Square Error, R2, R2 a and R2 pre. As a result, the Powell model gives the best fit with estimation of R2 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 R2 value as 99% in case of the Haldane model. The method IV estimates with R2 value as 99.6% in the Moser model and the method III estimates with R2 value as 99.4% in case of the Webb model.
Keywords : Kinetic Models, Microbial Growth, Parameter Estimation and Partial Sums

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