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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. In: Proceedings of the 3rd International Conference on Mathematical Sciences, 17-19 December 2013 , Kuala Lumpur. pp. 1168-1177..

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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 efficiency 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: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Milstein scheme; Stochastic growth logistic model with aftereffect; Levenberg-Marquardt; Fermentation
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Mrs. Neng Sury Sulaiman
Date Deposited: 02 Jul 2014 02:25
Last Modified: 03 Mar 2015 09:27
URI: http://umpir.ump.edu.my/id/eprint/6016
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