Time delay and noise explaining the behaviour of the cell growth in fermentation process

Journal Article · Tue Feb 03 00:00:00 EST 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4907493· OSTI ID:22390948

Ayuobi, Tawfiqullah; Rosli, Norhayati ^[1]; Bahar, Arifah ^[2]; Salleh, Madihah Md ^[3]

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1. Faculty of Industrial Sciences and Technology, Universiti Malaysia Pahang, Lebuhraya Tun Razak, 26300 Gambang, Pahang (Malaysia)
2. Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor (Malaysia)
3. Department of Biotechnology Industry, Faculty of Biosciences and Bioengineering, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor (Malaysia)

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.

• OSTI ID: 22390948
• Journal Information: AIP Conference Proceedings, Vol. 1643, Issue 1; Conference: 2. ISM International Statistical Conference 2014: Empowering the Applications of Statistical and Mathematical Sciences, Pahang (Malaysia), 12-14 Aug 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ABUNDANCE
COMPUTERIZED SIMULATION
CONCENTRATION RATIO
DIFFERENTIAL EQUATIONS
ECOLOGICAL CONCENTRATION
FERMENTATION
NOISE
STOCHASTIC PROCESSES
TIME DELAY