Abstract
In Chapter 5, 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, and the single-cell models of Section 4.2.4 can therefore not be used in connection with these population balances. 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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bailey, J. E. and Ollis, D. F. (1986). Biochemical Engineering Fundamentals, 2nd ed., McGraw-Hill, New York.
Cazzador, L. (1991). “Analysis of oscillations in yeast continuous cultures by a new simplified model,” Bull. Math. Biol. 5, 685–700.
Hjortso, M. A. and Bailey, J. E. (1982). “Steady-state growth of budding yeast populations in well-mixed continuous-flow microbial reactors,” Math. Biosci. 60, 235–263.
Hjortso, M. A. and Bailey, J. E. (1983). “Transient responses of budding yeast populations,” Math. Biosci. 63, 121–148.
Hjortso, M. A. and Bailey, J. E. (1984a). “Plasmid stability in budding yeast populations: Steady state growth with selection pressure,” Biotechnol. Bioeng. 26, 528–536.
Hjortso, M. A. and Bailey, J. E. (1984b). “Plasmid stability in budding yeast populations: Dynamics following a shift to nonselective medium,” Biotechnol. Bioeng. 26. 814–819.
Kothari, I. R., Martin, G. C., Reilly, P. J., Martin, P. J., and Eakman, J. M. (1972). “Estimation of parameters in population models for Schizosaccharomyces pombe from chemostat data,” Biotechnol. Bioeng. 14, 915–938.
Eakman, J. M., Fredrickson, A. C., and Tsuchiya, H. M. (1966). “Statistics and dynamics of microbial cell populations,” Chem. Eng. Prog. Symp. Ser. 62, 37–49.
Kreyszig, E. (1988). Advanced Engineering Mathematics, 6th ed., John Wiley Sons, New York.
Lievense, J. C. and Lim, H. C. (1982). “The growth and dynamics of Saccharomyces cercvisiae, ” Ann. Report Ferm. Proc. 5, 211–262.
Metz, B. (1976). From Pulp to Pellet, Ph.D. thesis. Technical University of Delft, Delft.
Metz, B., Bruijn, E. W., and van Suijdam, J. C. (1981). “Method for quantitative representation of the morphology of molds,” Biotechnol. Bioeng. 23, 149–162.
Nielsen, J. (1993). “A simple morphologically structured model describing the growth of filamentous microorganisms,” Biotechnol. Bioeng. 41, 715–727.
Ramkrishna, D. (1979). “Statistical models for cell populations,” Adv. Biochem. Eng. 11, 1–48.
Ramkrishna, D. (1985). “The status of population balances,” Rev. Chem. Eng. 3, 49–95.
Seo, J.-H. and Bailey, J. E. (1985). “A segregated model for plasmid content on growth properties and cloned gene product formation in Escherichia colt,” Biotechnol. Bioeng. 27, 156–166.
Singh, P. N. and Ramkrishna, D. (1977). “Solution of population balance equations by MWR,” Comp. Chem. Eng. 1, 23–31.
Subramanian, G. and Ramkrishna, D. (1971). “On the solution of statistical models of cell populations,” Math. Biosci. 10, 1–23.
van Suijdam, J. C. and Metz, B. (1981). “Influence of engineering variables upon the morphology of filamentous molds,” Biotechnol. Bioeng. 23, 111–148.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media New York
About this chapter
Cite this chapter
Nielsen, J., Villadsen, J. (1994). Population Balances Based on Cell Number. In: Bioreaction Engineering Principles. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4645-7_6
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4645-7_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-4647-1
Online ISBN: 978-1-4757-4645-7
eBook Packages: Springer Book Archive