Development and solution of a cell mass population balance model applied to the SCF process

Chemical Engineering Science

Volumn 54, Issue 5, 1999, Pages 565-578

  Godin, Francois B ^a   Cooper, David G ^a   Rey, Alejandro D ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Cell synchrony; Division mass; Population balance; Self cycling fermentation

Indexed keywords

CARBON DIOXIDE; CELL CULTURE; FERMENTATION; OXYGEN; PROCESS MODEL; PROCESS MONITORING; SELF CYCLING FERMENTATION;

BIOMASS; FERMENTATION; MICROORGANISM; MODEL;

EID: 0033593598     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0009-2509(98)00265-6     Document Type: Article

References (41)

1. Bailey, J.E., & Ollis, D.F. (1986). Biochemical Engineering Fundamentals. New York: McGraw-Hill, Inc.
2. Boye, E., Stokke, T., Kleckner, N., & Skarstad, K. (1996). Coordinating DNA Replication Initiation with Cell Growth: Differential Roles for DnaA and SeqA Proteins.
3. Brown, W.A., & Cooper, D.G. (1991). Self-cycling fermentation applied to Acinetobacter calcoaceticus RAG-1. Appl. Environ. Microbiol., 57(10), 2901-2906.
4. Brown, W.A., & Cooper, D.G. (1992). Hydrocarbon degradation by Acinetobacter calcoaceticus RAG-1 using the self-cycling fermentation technique. Biotech. Bioengng, 40, 797-805.
5. Cazzador, L. (1991). Analysis of oscillations in yeast continuous cultures by a new simplified model. Bul. Math. Biol., 53(5), 685-700.
6. Ching, A.S.-L., & Berger, J.D. (1986). Control of cell division in Paramecium tetraurelia. Exp. Cell Res., 167, 191-202.
7. Cutler, R.G., & Evans, J.E. (1966). Synchronization of bacteria by a stationary-phase method. J. Bacteriol., 91(2), 469-476.
8. D'Ari, R., Jaffé, A., Bouloc, P., & Robin, A. (1988). Cyclic AMP and cell division in Escherichia coli. J. Bacteriol., 170(1), 65-70.
9. Dawson, P.S.S. (1971). A pilot plant apparatus for continuous phased culture-some observations on oxygen usage by candida utilis during the cell cycle. Biotech. Bioengng. 13, 877-892.
10. Dawson, P.S.S. (1972). Continuously synchronized growth. Appl. Chem. Biotechnol., 22, 79-103.
11. Dawson, P.S.S., Anderson, M., & York, A.E. (1971). The cyclone column culture vessel for batch and continuous, synchronous or asynchronous, culture of microorganisms. Biotech. Bioengng., 13, 865-876.
12. Donachie, W.D. (1969). Relationship between cell size and time of initiation of DNA replication. Nature 219, 1077-1079.
13. Eakman, J.M., Fredrickson, A.G., & Tsuchiya, H.M. (1966). Statistics and dynamics of microbial cell populations. Chem. Engng. Symp. Series, 62(69), 37-49.
14. Fantes, P., & Nurse, P. (1977) Control of cell size at division in fission yeast by a growth-modulated size control over nuclear division. Exp. Cell Res., 107, 377-386.
15. Finlayson, B.A. (1980). Chemical Engineering Series, Nonlinear Analysis in Chemical Engineering New York: McGraw-Hill.
16. Fredrickson, A.G., Ramkrishna, D., & Tsuchiya, H.M. (1967). Statistics and dynamics of procaryotic cell populations. Math. Biosci., 1, 327-374.
17. Gerald, C.F. (1994) Applied Numerical Analysis. Addison-Wesley, New York, U.S.A.
18. Hjortso, M.A., & Bailey, J.E. (1983). Transient response of budding yeast populations. Math. Biosci., 63, 121-148.
19. Hjortso, M.A., & Nielsen, J. (1994). A conceptual model of autonomous oscillations in microbial cultures. Chem. Engng. Sci., 49(8), 1083-1095.
20. Hughes, S.M., & Cooper, D.G. (1996). Biodegradation of phenol using the self-cycling fermentation (SCF) technique. Biotech. Bioengng. 51, 112-119.
21. Keasling, J.D., Palsson, B.O., & Cooper, S. (1991). Cell-cycle-specific F plasmid replication: Regulation by cell size control of initiation. J. Bacteriol., 173, 2673-2680.
22. Lapidus, L., & Pinder, G.F. (1982). Numerical Solution of Partial Differential Equations in Science and Engineering. Toronto, Canada: Wiley.
23. Liou, J.-J., Srienc, F., & Fredrickson, A.G. (1997). Solutions of population balance models based on a successive generations approach. Chem. Engng, Sci. 52(9), 1529-1540.
24. Martegani, E., Porro, D., Ranzi, B.M., & Alberghina, L. (1990). Involvement of a cell size control mechanism in the induction and maintenance of oscillations in continuous cultures of budding yeast. Biotech. Bioengng., 36, 453-459.
25. McCaffrey, W.C., & Cooper, D.G. (1995). Sophorolipids production by Candida bombicola using self-cycling fermentation. J. Ferment. Bioengng, 79, 146-151.
26. Nanninga, N., & Woldringh, C.L. (1985). Cell Growth, Genome DuplicaTion, and Cell Division. Molecular Cytology of Escherichia Coli. London: Academic Press.
27. Porro, D., Martegani, E., Ranzi, B.M., & Alberghina, L. (1988). Oscillations in continuous cultures of budding yeast: A segregated parameter analysis. Biotech. Bioengng. 32, 411-417.
28. Ramkrishna, D. (1971). Solution of population balance equations. Chem. Engng. Sci., 26, 1134-1136.
29. Ramkrishna, D. (1979). Statistical models of cell populations. Adv. Biochem., 11, 1-47.
30. Sarkis, B., & Cooper, D.G. (1994). Biodegradation of aromatic compounds in a self-cycling fermenter (SCF). Can. J. Chem. Engng, 72, 874-880.
31. Sheppard, J.D., & Cooper, D.G. (1990a). Development of computerized feedback control for the continuous phasing of Bacillus subtilis. Biotech. Bioengng. 36, 539-545.
32. Sheppard, J.D., & Cooper, D.G. (1990b). The response of Bacillus subtilis ATCC 21332 to manganese during continuous-phased growth. Appl. Microbiol. Biotechnol., 35, 72-76.
33. Subramanian, G., & Ramkrishna, D. (1971). On the solution of statistical models of cell populations. Math. Biosci., 10, 1-23.
34. Subramanian, G., Ramkrishna, D., Fredrickson, A.G., & Tsuchiya, H.M. (1970). On the mass distribution model for microbial cell populations. Bul. Math. Biophysics, 32, 521-537.
35. Tsuchiya, H.M., Fredrickson, A.G., & Aris, R. (1966). Dynamics of microbial cell populations. Adv. Chem. Engng. 6, 125-206.
36. Tyson, C.B., Lord, P.G., & Wheals, A.E. (1979). Dependency of size of Saccharomyces cerevisiae cells on growth rate. J. Bacteriol., 138(4), 92-98.
37. van Walsum, G.P., & Cooper, D.G. (1993). Self-cycling fermentation in a stirred tank reactor. Biotech. Bioengng., 42, 1175-1180.
38. Wachi, M., & Matsuhashi, M. (1989). Negative control of cell division by mreB, a gene that functions in determining the rod shape of Escherichia coli cells. J. Bacteriology, 171(6), 3123-3127.
39. Wentworth, S.D., & Cooper, D.G. (1996). Self-cycling fermentation of a citric acid producing stain of Candida lipolytica. J. Ferment. Bioengng, 81, 400-405.
40. Wincure, B.M., Cooper, D.G., & Rey, A.D. (1995). Mathematical model of self-cycling fermentation (SCF). Biotech. Bioengng., 46, 180-183.
41. Zenaitis, M.G., & Cooper, D.G. (1994). Antibiotic production by Streptomyces aureofaciens using self-cycling fermentation. Biotech. Bioengng, 44, 1331-1336.