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Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process

This research analyses chemostat models for microbial production. Chemostat is a tool that can be used for the continuous production of microbes under controlled conditions such as pH, temperature, light, and nutrients. This ability makes chemostat promising for the applications of microbes as renew...

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Main Author: Mohd Sadiq, Ummalaisha Farhana
Format: Thesis
Language:English
English
English
Published: 2021
Subjects:
TD Environmental technology. Sanitary engineering
Online Access:http://eprints.uthm.edu.my/8364/1/24p%20UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ.pdf
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http://eprints.uthm.edu.my/8364/3/UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ%20WATERMARK.pdf
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spelling my.uthm.eprints.83642023-02-22T02:20:38Z http://eprints.uthm.edu.my/8364/ Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process Mohd Sadiq, Ummalaisha Farhana TD Environmental technology. Sanitary engineering This research analyses chemostat models for microbial production. Chemostat is a tool that can be used for the continuous production of microbes under controlled conditions such as pH, temperature, light, and nutrients. This ability makes chemostat promising for the applications of microbes as renewable resources, microbial products and wastewater treatment. The dynamics of the chemostat can be described using the chemostat mathematical model. The microbial growth in the chemostat can be interpreted mathematically using the specific growth rate model. The growth of microbes chiefly depends on the concentration of the nutrient. However, the growth of microbes can be inhibited under a high concentration of nutrients. Therefore, in this thesis, Andrew’s growth model was considered to describe the inhibitory effect of high substrate concentration on the microbial growth in the chemostat model. The dependency of product yield towards the substrate concentration was also incorporated into the chemostat model. The performance of chemostat was also investigated with the influence of the recycling process. The stability and bifurcation analyses of the chemostat models were conducted to examine the dynamical behaviour of the steady-state of the chemostat system to identify the regions of parameters that generate oscillations of microbe population in the chemostat which occurs due to any changes in the stability of the steady-state of the system. There are two types of steady-states found which are washout steady-state and no washout steady-state. Washout steady-state means there is no growth of microbes occur in the reactor while no washout steady-state means there is growth of microbe occur in the chemostat. The steady-state solutions and their stability were determined as a function of residence time. The studies revealed the conditions to avoid the situation where no growth of microbes occurred in the chemostat. It was identified that there exists a parameters’ region that can generate stable limit cycle and also region of bistability of steady-states. The high value of recycling parameter increases the cell mass concentration in the chemostat. 2021-12 Thesis NonPeerReviewed text en http://eprints.uthm.edu.my/8364/1/24p%20UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ.pdf text en http://eprints.uthm.edu.my/8364/2/UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ%20COPYRIGHT%20DECLARATION.pdf text en http://eprints.uthm.edu.my/8364/3/UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ%20WATERMARK.pdf Mohd Sadiq, Ummalaisha Farhana (2021) Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process. Masters thesis, Universiti Tun Hussein Onn Malaysia.
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
English
English
topic TD Environmental technology. Sanitary engineering
spellingShingle TD Environmental technology. Sanitary engineering
Mohd Sadiq, Ummalaisha Farhana
Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
description This research analyses chemostat models for microbial production. Chemostat is a tool that can be used for the continuous production of microbes under controlled conditions such as pH, temperature, light, and nutrients. This ability makes chemostat promising for the applications of microbes as renewable resources, microbial products and wastewater treatment. The dynamics of the chemostat can be described using the chemostat mathematical model. The microbial growth in the chemostat can be interpreted mathematically using the specific growth rate model. The growth of microbes chiefly depends on the concentration of the nutrient. However, the growth of microbes can be inhibited under a high concentration of nutrients. Therefore, in this thesis, Andrew’s growth model was considered to describe the inhibitory effect of high substrate concentration on the microbial growth in the chemostat model. The dependency of product yield towards the substrate concentration was also incorporated into the chemostat model. The performance of chemostat was also investigated with the influence of the recycling process. The stability and bifurcation analyses of the chemostat models were conducted to examine the dynamical behaviour of the steady-state of the chemostat system to identify the regions of parameters that generate oscillations of microbe population in the chemostat which occurs due to any changes in the stability of the steady-state of the system. There are two types of steady-states found which are washout steady-state and no washout steady-state. Washout steady-state means there is no growth of microbes occur in the reactor while no washout steady-state means there is growth of microbe occur in the chemostat. The steady-state solutions and their stability were determined as a function of residence time. The studies revealed the conditions to avoid the situation where no growth of microbes occurred in the chemostat. It was identified that there exists a parameters’ region that can generate stable limit cycle and also region of bistability of steady-states. The high value of recycling parameter increases the cell mass concentration in the chemostat.
format Thesis
author Mohd Sadiq, Ummalaisha Farhana
author_facet Mohd Sadiq, Ummalaisha Farhana
author_sort Mohd Sadiq, Ummalaisha Farhana
title Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
title_short Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
title_full Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
title_fullStr Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
title_full_unstemmed Dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
title_sort dynamical analysis of chemostat models incorporating variable yield coefficient and substrate inhibition with recycling process
publishDate 2021
url http://eprints.uthm.edu.my/8364/1/24p%20UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ.pdf
http://eprints.uthm.edu.my/8364/2/UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ%20COPYRIGHT%20DECLARATION.pdf
http://eprints.uthm.edu.my/8364/3/UMMAL%20AISHA%20FARHANA%20MOHD%20SADIQ%20WATERMARK.pdf
http://eprints.uthm.edu.my/8364/
_version_ 1758580277714616320
score 13.211869

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