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 conce...
| Main Authors: | , , , |
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| Format: | Conference or Workshop Item |
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2015
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| _version_ | 1796860728109432832 |
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| author | Ayuobi, Tawfiqullah Rosli, Norhayati Bahar, Arifah Md. Salleh, Madihah |
| author_facet | Ayuobi, Tawfiqullah Rosli, Norhayati Bahar, Arifah Md. Salleh, Madihah |
| author_sort | Ayuobi, Tawfiqullah |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T19:45:38Z |
| format | Conference or Workshop Item |
| id | utm.eprints-59524 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T19:45:38Z |
| publishDate | 2015 |
| record_format | dspace |
| spelling | utm.eprints-595242021-12-12T03:09:04Z http://eprints.utm.my/59524/ Time delay and noise explaining the behaviour of the cell growth in fermentation process Ayuobi, Tawfiqullah Rosli, Norhayati Bahar, Arifah Md. Salleh, Madihah QA Mathematics 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. 2015 Conference or Workshop Item PeerReviewed Ayuobi, Tawfiqullah and Rosli, Norhayati and Bahar, Arifah and Md. Salleh, Madihah (2015) Time delay and noise explaining the behaviour of the cell growth in fermentation process. In: 2nd ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, ISM 2014, 12 - 14 August 2014, Kuantan, Pahang. http://dx.doi.org/10.1063/1.4907493 |
| spellingShingle | QA Mathematics Ayuobi, Tawfiqullah Rosli, Norhayati Bahar, Arifah Md. Salleh, Madihah 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 | QA Mathematics |
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