ISSN: 1304-7191 | E-ISSN: 1304-7205
Rapid parameter estimation of four non-linear growth models for analyzing the growth of Escherichia Coli
1Department of Mathematics, The Assam Kaziranga University, Jorhat, Assam, 785006, India
2Department of Mathematics, N. N. Saikia College, Titabar, Jorhat, Assam, 785630, India
Sigma J Eng Nat Sci 2024; 42(3): 778-786 DOI: 10.14744/sigma.2024.00067
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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 estimat-ed model parameters are analyzed by evaluating statistical parameters χ2, Root Mean Square
Error, R2, R2a and R2pre. 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.