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A Simple Mathematical Model of Batch Growth of Bacillus stearothermophilus in Various Dairy Fluids
Author(s) -
Chen X. D.,
Yoo J. A.,
Nguang S. K.
Publication year - 2005
Publication title -
developments in chemical engineering and mineral processing
Language(s) - English
Resource type - Journals
eISSN - 1932-2143
pISSN - 0969-1855
DOI - 10.1002/apj.5500130104
Subject(s) - growth model , simple (philosophy) , logistic function , bacterial growth , process (computing) , biochemical engineering , population , biological system , process engineering , mathematics , computer science , biology , engineering , bacteria , mathematical economics , statistics , sociology , genetics , operating system , philosophy , demography , epistemology
In this paper, a simple mathematical model describing the entire process of batch growth of bacteria has been proposed. The essence of this model is a proposal of the use of the growth‐history‐dependent ‘carrying capacity’ or ‘stagnation’ live cell population in the conventional logistic growth model. The rationale of this model has been summarised, and the model has been tested using the new experimental data on B. stearothermophilus growing in three different liquids with dairy ingredients. Reasonable agreements between the predicted and the experimental results have been obtained.