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Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process

Norhayati, Rosli and Tawfiqullah, Ayoubi and Arifah, Bahar and Haliza, Abdul Rahman and Madihah, Md Salleh (2014) Stochastic Growth Logistic Model With Aftereffect for Batch Fermentation Process. AIP Conf. Proc. : Proceedings of the 3rd International Conference On Mathematical Sciences, 1602. pp. 1168-1177. ISSN 978-0-7354-1236-1

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Abstract

In this paper, the stochastic growth logistic model with aftereffect for the cell growth of C. acetobutylicum P262 and Luedeking-Piret equations for solvent production in batch fermentation system is introduced. The parameters values of the mathematical models are estimated via Levenberg-Marquardt optimization method of non-linear least squares. We apply Milstein scheme for solving the stochastic models numerically. The effciency of mathematical models is measured by comparing the simulated result and the experimental data of the microbial growth and solvent production in batch system. Low values of Root Mean-Square Error (RMSE) of stochastic models with aftereffect indicate good fits.

Item Type: Article
Additional Information: 17–19 December 2013, Kuala Lumpur, Malaysia
Uncontrolled Keywords: Fermentation; Solvents; Stochastic processes; Cell growth;
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs. Neng Sury Sulaiman
Date Deposited: 13 Jul 2015 06:44
Last Modified: 27 Jun 2016 06:54
URI: http://umpir.ump.edu.my/id/eprint/8982
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