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

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 conc...

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Main Authors: Ayoubi, Tawfiqullah, Norhayati, Rosli, Arifah, Bahar, Madihah, Md Salleh
Format: Conference or Workshop Item
Language:English
English
Published: AIP Publishing LLC 2015
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/13519/1/ISMII%20AIP%20TAWFIQULLAH.pdf
http://umpir.ump.edu.my/id/eprint/13519/7/Time%20Delay%20and%20Noise%20Explaining%20the%20Behaviour%20of%20the%20Cell%20Growth%20In%20Fermentation%20Process.pdf
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author Ayoubi, Tawfiqullah
Norhayati, Rosli
Arifah, Bahar
Madihah, Md Salleh
author_facet Ayoubi, Tawfiqullah
Norhayati, Rosli
Arifah, Bahar
Madihah, Md Salleh
author_sort Ayoubi, Tawfiqullah
collection UMP
description 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.
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language English
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spelling UMPir135192017-03-29T02:45:35Z http://umpir.ump.edu.my/id/eprint/13519/ Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process Ayoubi, Tawfiqullah Norhayati, Rosli Arifah, Bahar Madihah, Md Salleh Q Science (General) 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. AIP Publishing LLC 2015 Conference or Workshop Item PeerReviewed application/pdf en http://umpir.ump.edu.my/id/eprint/13519/1/ISMII%20AIP%20TAWFIQULLAH.pdf application/pdf en http://umpir.ump.edu.my/id/eprint/13519/7/Time%20Delay%20and%20Noise%20Explaining%20the%20Behaviour%20of%20the%20Cell%20Growth%20In%20Fermentation%20Process.pdf 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 http://dx.doi.org/10.1063/1.4907493
spellingShingle Q Science (General)
Ayoubi, Tawfiqullah
Norhayati, Rosli
Arifah, Bahar
Madihah, Md Salleh
Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title_full Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title_fullStr Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title_full_unstemmed Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title_short Time Delay and Noise Explaining the Behaviour of the Cell Growth in Fermentation Process
title_sort time delay and noise explaining the behaviour of the cell growth in fermentation process
topic Q Science (General)
url http://umpir.ump.edu.my/id/eprint/13519/1/ISMII%20AIP%20TAWFIQULLAH.pdf
http://umpir.ump.edu.my/id/eprint/13519/7/Time%20Delay%20and%20Noise%20Explaining%20the%20Behaviour%20of%20the%20Cell%20Growth%20In%20Fermentation%20Process.pdf
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