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A simple model to describe transient differences between cell number and biomass growth rates of Escherichia coli
Author(s) -
Rodin J. B.,
Lyberatos G. K.,
Svoronos S. A.
Publication year - 1991
Publication title -
biotechnology and bioengineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.136
H-Index - 189
eISSN - 1097-0290
pISSN - 0006-3592
DOI - 10.1002/bit.260370206
Subject(s) - transient (computer programming) , biological system , steady state (chemistry) , growth rate , biomass (ecology) , chemostat , transient response , biochemical engineering , simple (philosophy) , nutrient , limiting , mathematics , environmental science , chemistry , biology , ecology , computer science , bacteria , engineering , genetics , mechanical engineering , philosophy , geometry , epistemology , electrical engineering , operating system
Information on the response of a microbial culture to dynamic environmental conditions is necessary for the design of transient operation processes. However, most attempts at modelling culture response have been directed at describing the steady‐state behavior. Thus, there is a need for adequate dynamic models for process design. Simulations of nutrient shifts were completed using a “single‐cell” model for Escherichia coli. It was discovered that the specific mass growth rate and the specific number of cells growth rate were different under transient conditions, whereas at steady state (balanced growth) these rates are equivalent. Using these observations, a simple delay model to describe the transient behavior of the two growth rates is formulated and tested. The model contains as state variables only the readily measurable macroscopic quantities (biomass, cell number, and limiting nutrient). This model agreed well with the predictions of the single‐cell model.