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Title: A mathematical model for cellulose fermentation
Author: Forouhi, E.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1982
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A mathematical model which describes the most important steps in the cellulose fermentation by Trichoderma reesei has been constructed. The model specifies the inter-relationship between cellulose hydrolysis, cell growth and cellulases formation. Michaelis-Menten kinetics with competitive and mixed-type inhibition have been used to describe the hydrolysis of cellulose and cellobiose respectively. The growth of organism on glucose has been described by the Monod equation and cell decay has been assumed to follow first order kinetics. Glucose was used to initiate the fermentation. Based on the experimental observations a non-growth associated rate equation has been used to describe the formation of enzymes. It has been assumed that enzyme deactivation follows first order kinetics. The model consists of 6 differential equations and 15 parameters. Numerical techniques have been used to solve the set of differential equations and parameters of the model have been obtained by comparing experimental results and theoretical predictions. Tests have been performed to show the sensitivity of parameters and the reliability of estimation. The model, showing good agreement with experimental data, was able to predict the experimentally-observed phenomena such as late appearance of cellulase and later formation of β-glucosidase. The model has been used to predict the behaviour of Trichoderma reesel in a continuous system. It showed good agreement with available data of continuous fermentation of cellulose by this organism. Finally it has been found that mineral salts of medium such as calcium chloride, manganeous sulphate and cobalt nitrate interfere in reducing sugar measurements by dinitrosalicylic acid reagents. It has been shown that these salts can be used to increase the sensitivity of the measurement.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available