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

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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