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Parameter estimation of Monod model by the Least-Squares method for microalgae Botryococcus Braunii sp

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Published under licence by IOP Publishing Ltd
, , Citation J J See et al 2018 J. Phys.: Conf. Ser. 995 012026 DOI 10.1088/1742-6596/995/1/012026

1742-6596/995/1/012026

Abstract

This research aims to estimate the parameters of Monod model of microalgae Botryococcus Braunii sp growth by the Least-Squares method. Monod equation is a non-linear equation which can be transformed into a linear equation form and it is solved by implementing the Least-Squares linear regression method. Meanwhile, Gauss-Newton method is an alternative method to solve the non-linear Least-Squares problem with the aim to obtain the parameters value of Monod model by minimizing the sum of square error ( SSE). As the result, the parameters of the Monod model for microalgae Botryococcus Braunii sp can be estimated by the Least-Squares method. However, the estimated parameters value obtained by the non-linear Least-Squares method are more accurate compared to the linear Least-Squares method since the SSE of the non-linear Least-Squares method is less than the linear Least-Squares method.

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10.1088/1742-6596/995/1/012026