Microbial competition in bioreactors;Kompeticija mikroorganizama u biorektorima

Chemical Industry and Chemical Engineering Quarterly

Volumn 12, Issue 1, 2006, Pages 71-81

  Pavlou, Stavros ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

Bioreactor; Competition; Microbial fermentation; Mixed cultures

Indexed keywords

EID: 85007981809     PISSN: 14519372     EISSN: 22177434     Source Type: Journal    
DOI: 10.2298/CICEQ0601071P     Document Type: Article

References (71)

1. A.G. Fredrickson, G. Stephanopoulos, Microbial competition, Science 213 (1981) 972-979.
2. E.O. Powell, Criteria for growth of contaminants and mutants in continuous culture, J. Gen. Microbiol. 18 (1958) 259-268.
3. J. Monod, Recherches sur la croissance des culture bactériennes, Hermann EtCie., Paris 1942.
4. A.G. Fredrickson, H.M. Tsuchiya, in Chemical reactor theory: a review, N.R. Amundson, L. Lapidus, Eds., Prentice-Hall, Englewood Cliffs, Nj 1977, p. 405.
5. R. Aris, A. E. Humphrey, Dynamics of a chemostat in which two organisms compete for a common substrate, Biotechnol. Bioeng, 19 (1977) 1375-1386.
6. G.E. Powell, Structural instability of the theory of simple competition, J. Theor. Biol. 132 (1988) 421-435.
7. J.F. Andrews, A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates, Biotechnol. Bioeng. 10 (1968) 707-723.
8. R Lenas, S. Pavlou, Periodic, quasi-periodic and chaotic coexistence of two competing microbial population in a periodically operated chemostat, Math. Biosci. 121 (1994) 61-110.
9. G.J. Butler, G.S.K. Wolkowicz, A mathematical model of the chemostat with a general class of functions describing nutrient uptake, SIAM J. Appl. Math. 45 (1985) 138-151.
10. G.S.K. Wolkowicz, L. Zhiqi, Global dynamics of a mathematical model of competition in the chemostat: general response functions and differential death rates, SIAM J. Appl. Math. 52 (1992) 222-233.
11. B. Li, Global asymptotic behavior of the chemostat: general response functions and different removal rates, SIAM J. Appl. Math. 59 (1999) 411-422.
12. S.B. Hsu, S. Hubbell, P Waltman, A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms, SIAM J. Appl. Math. 32 (1977) 366-383.
13. S.B. Hsu, Limiting behaviour for competing species, SIAM J. Appl. Math. 34 (1978) 760-763.
14. G. Stephanopoulos, R. Aris, A.G. Fredrickson, A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor, Math. Biosci. 45 (1979) 99-135.
15. D.W. Tempest, J.W. Dicke, J.L. Meers, Magnesium-limited growth of Bacillus subtilis, in pure and mixed culture, in a chemostat, J. Gen. Microbiol. 49 (1967) 139-147.
16. H.W. Jannasch, Enrichments of aquatic bacteria in continuous culture, Arch. Mikrobiol. 59 (1967) 165-173.
17. H.W. Jannasch, Competitive eliminations of Enterobacteriaceae from seawater, Appl. Microbiol. 16 (1968) 1616-1618.
18. J.L. Meers, D.W. Tempest, The influence of extracellular products on the behaviour of mixed microbial populations in magnesium-limited chemostat cultures, J. Gen. Microbiol. 52 (1968) 309-317.
19. W. Harder, H. Veldkamp, Competition of marine psychrophilic bacteria at low temperatures, Antonie van Leeuwenhoek J. Microbiol. Serol. 37 (1971) 51-63.
20. J.L. Meers, Effect of dilution rate on the outcome of chemostat mixed culture experiments, J. Gen. Microbiol. 67 (1971) 359-361.
21. R.D. Megee III, J.F. Drake, A.G. Fredrickson, H.M. Tsuchiya, Studies in intermicrobial symbiosis. Saccharomyces cerevisiae and Lactobacillus casei, Can. J. Microbiol. 18 (1972) 1733-1742.
22. J.L. Jost, J.F. Drake, A.G. Fredrickson, H.M. Tsuchiya, Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and glucose in a minimal medium, J. Bacteriol. 113 (1973) 834-840.
23. S.R. Hansen, S.R Hubbell, Single-nutrient microbial competition: qualitative agreement between experimental and theoretically forecast outcomes, Science 207 (1980) 1491-1493.
24. K. Takeya, A. Kuwata, M. Yoshida, T. Miyazaki, Effect of dilution rate on competitive interactions between the cyanobacterium Microcystis novacekii and the green alga Scenedesmus quadricauda in mixed chemostat cultures, J. Plankton Res. 26 (2004) 29-35.
25. G. Hardin, The competitive exclusion principle, Science 131 (1960) 1292-1297.
26. G.E. Hutchinson, The paradox of the plankton, Am. Nat. 95 (1961) 137-144.
27. G. Stephanopoulos, A.G. Fredrickson, R. Aris, The growth of competing microbial populations in a CSTR with periodically varying inputs, AlChE J. 25 (1979) 863-872.
28. F.M. Stewart, B.R. Levin, Partitioning of resources and the outcome of interspecific competition: a model and some general considerations, Am. Nat. 107 (1973) 171-198.
29. M. Matsubara, N. Watanabe, S. Hasegawa, Bifurcations in a bang-bang controlled mixed culture system, Chem. Eng. Sci. 41 (1986) 523-531.
30. G.J. Butler, S.B. Hsu, R Waltman, A mathematical model for the chemostat with periodic washout rate, SIAM J. Appl. Math. 45 (1985) 435-449.
31. S.B. Hsu, A competition model for a seasonally fluctuating nutrient, J. Math. Biol. 9 (1980) 115-132.
32. H. Smith, Competitive coexistence in an oscillating chemostat, SIAM J. Appl. Math. 40 (1981) 498-522.
33. J.K. Hale, A.S. Somolinos, Competition for fluctuating nutrient, J. Math. Biol. 18 (1983) 255-280.
34. B.H. Davison, G. Stephanopoulos, Effect of pH oscillations on a competing mixed culture, Biotechnol. Bioeng. 28 (1986) 1127-1137.
35. S. Dikshitulu, B.C. Baltzis, G.A. Lewandowski, S. Pavlou, Competition between two microbial populations in a sequencing fed-batch reactor: theory, experimental verification, and implications for waste treatment applications, Biotechnol. Bioeng. 42 (1993) 643-656.
36. M.L. Stephens, G. Lyberatos, Effect of cycling on final mixed culture fate, Biotechnol. Bioeng. 29 (1987) 672-678.
37. S. Pavlou, I.G. Kevrekidis, G. Lyberatos, On the coexistence of competing microbial species in a chemostat under cycling, Biotechnol. Bioeng. 35 (1990) 224-232.
38. R Lenas, S. Pavlou, Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate, Math. Biosci. 129 (1995) 111-142.
39. G.S.K. Wolkowicz, X.Q. Zhao, n-species competition in a periodic chemostat, Differential & Integral Equations 11 (1998) 465-491.
40. G. Stephanopoulos, A.G. Fredrickson, Effect of spatial inhomogeneities on the coexistence of competing microbial populations, Biotechnol. Bioeng. 21 (1979) 1491-1498.
41. C.M. Kung, B.C. Baltzis, Operating parameters’ effects on the outcome of pure and simple competition between two populations in configurations of two interconnected chemostats, Biotechnol. Bioeng. 30 (1987) 1006-1018.
42. W. Jager, J.W.H. So, B. Tang, R Waltman, Competition in the gradostat, J. Math. Biol. 25 (1987) 23-42.
43. H. Smith, B. Tang, Competition in the gradostat: the role of the communication rate, J. Math. Biol. 27 (1989) 139-165.
44. J. Hofbauer, J.W.H. So, Competition in the gradostat: the global stability problem, Nonlin. Anal., Theory, Methods Applic. 22 (1994) 1017-1031.
45. H.L. Smith, R Waltman, The Gradostat: A model of competition along a nutrient gradient, Microb. Ecol. 22 (1991) 207-226.
46. H.L. Smith, B. Tang, R Waltman, Competition in an n-vessel gradostat, SIAM J. Appl. Math. 51 (1991) 1451-1471.
47. R Lenas, N.A. Thomopoulos, D.V. Vayenas, S. Pavlou, Oscillations of two competing microbial populations in configurations of two interconnected chemostats, Math. Biosci. 148 (1998) 43-63.
48. A. Ajbar, K. Alhumazi, Microbial competition: study of global branching phenomena, AlChE J. 46 (2000) 321-334.
49. W. Jager, H. Smith, B. Tang, in Differential equations. Models in Biology, Epidemiology and Ecology: Proceedings, Claremont 1990, S. Busenberg, M. Martelli, Eds., Springer-Verlag, New York, 1992, p. 200.
50. H. El-Owaidy, A.A. Ammar, O.A. El-Leithy, Competition in the gradostat for the case of three vessels and three populations, Tamkang J. Math. 21 (1990) 143-151.
51. S.W. Chang, B.C. Baltzis, Impossibility of coexistence of three pure and simple competitors in configurations of three interconnected chemostats, Biotechnol. Bioeng, 33 (1989) 460-470.
52. B.C. Baltzis, M. Wu, Steady-state coexistence of three pure and simple competitors in a four-membered reactor network, Math. Biosci. 123 (1994) 147-165.
53. F.X. Kelly, K.J. Dapsis, D.A. Lauffenburger, Effect of bacterial chemotaxis on dynamics of microbial competition, Microbial Ecol. 16 (1988) 115-131.
54. C.M. Kung, B.C. Baltzis, The growth of pure and simple microbial competitors in a moving distributed medium, Math. Biosci. 111 (1992) 295-313.
55. B.C. Baltzis, A.G. Fredrickson, Competition of two microbial populations for a single resource in a chemostat when one of them exhibits wall attachment, Biotechnol. Bioeng. 25 (1983) 2419-2439.
56. H.H. Topiwala, G. Hamer, Effect of wall growth in steady-state continuous culture, Biotechnol. Bioeng. 13 (1971) 919-922.
57. RA. Taylor, RJ.L. Williams, “Theoretical studies on the coexistence of competing species under continuous-flow conditions, Can. J. Microbiol. 21 (1975) 90-98.
58. J.A. Leon, D.B. Tumpson, Competition between two species for two complementary or substitutable resources, J. Theor. Biol. 50 (1975) 185-201.
59. H. Yoon, G. Klinzing, H.W. Blanch, Competition for mixed substrates by microbial populations, Biotechnol. Bioeng. 19 (1977) 1193-1210.
60. S. Gondo, K. Kaushik, K. Venkatasubramanian, Two-(carbon)-substrate continuous cultures: multiple steady states and their stability, Biotechnol. Bioeng. 20 (1978) 1479-1485.
61. S.B. Hsu, K.S. Cheng, S.P Hubbell, Exploitative competition of microorganisms for two complementary nutrients in continuous cultures, SIAM J. Appl. Math. 41 (1981) 422-444.
62. J.C. Gottschal, T.F. Thingstad, “Mathematical description of competition between two and three bacterial species under dual substrate limitation in the chemostat: a comparison with experimental data”, Biotechnol. Bioeng. 24 (1982) 1403-1418.
63. G.J. Butler, G.S.K. Wolkowicz, Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources, Math. Biosci. 83 (1987) 1-48.
64. M.M. Ballyk, G.S.K. Wolkowicz, Exploitative competition in the chemostat for two perfectly substitutable resources, Math. Biosci. 118 (1993) 127-180.
65. B.T. Li, H. Smith, How many species can two essential resources support?, SIAM J. Appl. Math. 62 (2001) 336-366.
66. D.V. Vayenas, S. Pavlou, Coexistence of three microbial populations competing for three complementary nutrients in a chemostat, Math. Biosci. 161 (1999) 1-13.
67. J. Huisman, F.J. Weissing, Biodiversity of plankton by species oscillations and chaos, Nature 402 (1999) 407-410.
68. B.T. Li, Periodic coexistence in the chemostat with three species competing for three essential resources, Math. Biosci. 174 (2001) 27-40.
69. B.T. Li, H.L. Smith, Periodic coexistence of four species competing for three essential resources, Math. Biosci. 184 (2003) 115-135.
70. A.A.S. Zaghrout, Asymptotic behaviour of solutions of competition in gradostat with two limiting complementary substrates, Appl. Math, and Comp. 49 (1992) 19-37.
71. N.A. Thomopoulos, D.V. Vayenas and S. Pavlou, On the coexistence of three microbial populations competing for two complementary substrates in configurations of interconnected chemostats, Math. Biosci. 154 (1998) 87-102.