Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process

Ayoubi, Tawfiqullah and Norhayati, Rosli and Arifah, Bahar and Madihah, Md Salleh (2015) Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process. In: AIP Conf. Proc. : The 2nd ISM International Statistical Conference 2014 (ISM-II) , 12–14 August 2014 , Pahang, Malaysia. pp. 547-554., 1643. ISBN 978-0-7354-1281-1

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Abstract

This paper proposes to investigate the interplay between time delay and external noise in explaining the behaviour of the microbial growth in batch fermentation process. Time delay and noise are modelled jointly via stochastic delay differential equations (SDDEs). The typical behaviour of cell concentration in batch fermentation process under this model is investigated. Milstein scheme is applied for solving this model numerically. Simulation results illustrate the effects of time delay and external noise in explaining the lag and stationary phases, respectively for the cell growth of fermentation process.

Item Type: Conference or Workshop Item (Lecture)
Uncontrolled Keywords: Fermentation; Cell growth; Differential equations; Numerical modeling; Stochastic processes
Subjects: Q Science > Q Science (General)
Faculty/Division: Faculty of Industrial Sciences And Technology
Depositing User: Dr. Norhayati Rosli
Date Deposited: 27 Jun 2016 07:05
Last Modified: 29 Mar 2017 02:45
URI: http://umpir.ump.edu.my/id/eprint/13519
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