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2011 | OriginalPaper | Chapter

8. Population Balance Equations

Authors : John Villadsen, Jens Nielsen, Gunnar Lidén

Published in: Bioreaction Engineering Principles

Publisher: Springer US

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Abstract

In Chap. 7, cell population balances are written in terms of a distribution of mass fractions of the total biomass. This allows a direct combination of intracellularly structured models and population models. However, the population balances based on mass fractions do not permit the incorporation into the model of specific events in the cell cycle. Since there are numerous examples that show a direct influence of certain specific events in the cell cycle on the overall culture performance, e.g., the distribution of plasmids to daughter cells on cell division in recombinant cultures, we need to derive a population balance based on cell number to obtain a correct description of these processes.

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previous chapter Growth Kinetics of Cell Cultures
next chapter Design of Fermentation Processes
Appendix
Available only for authorised users
Footnotes
1
For the meiosis of eukaryotes, four cells are formed in a cell cycle, but this special situation will not be considered here.
 
2
This holds only when the cell properties are conserved upon cell division. There are many cell properties for which this is not the case, e.g., cell age and surface area. However, here the h function can often be described explicitly, for example by a Dirac delta function as illustrated in Example 8.2.
 
3
The flow cytometer was also invented (1953) by the famous American business man and inventor Wallace Coulter (1913–1998). The first commercial version (1968) of this instrument which has now found widespread use in industry, in academia and in the clinic is by Wolfgang Göhde at Universität Münster. A good reference to the many applications of flow cytometry is Ormerod (2000).
 
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Metadata
Title
Population Balance Equations
Authors
John Villadsen
Jens Nielsen
Gunnar Lidén
Copyright Year
2011
Publisher
Springer US
Book
Bioreaction Engineering Principles

Print ISBN: 978-1-4419-9687-9

Electronic ISBN: 978-1-4419-9688-6

Copyright Year: 2011

DOI
https://doi.org/10.1007/978-1-4419-9688-6_8

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