메뉴 건너뛰기




Volumn 154, Issue 2, 1998, Pages 87-102

On the coexistence of three microbial populations competing for two complementary substrates in configurations of interconnected chemostats

Author keywords

[No Author keywords available]

Indexed keywords

COEXISTENCE; INTERSPECIFIC COMPETITION; MICROBIAL COMMUNITY;

EID: 0345320394     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(98)10047-0     Document Type: Article
Times cited : (4)

References (51)
  • 2
    • 0017386947 scopus 로고
    • Dynamics of a chemostat in which two organisms compete for a common substrate
    • Aris R., Humphrey A.E. Dynamics of a chemostat in which two organisms compete for a common substrate. Biotechnol. Bioeng. 19:1977;1375.
    • (1977) Biotechnol. Bioeng. , vol.19 , pp. 1375
    • Aris, R.1    Humphrey, A.E.2
  • 3
    • 0022012911 scopus 로고
    • A mathematical model of the chemostat with a general class of functions describing nutrient uptake
    • Butler G.J., Wolkowicz G.S.K. A mathematical model of the chemostat with a general class of functions describing nutrient uptake. SIAM J. Appl. Math. 45:1985;138.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 138
    • Butler, G.J.1    Wolkowicz, G.S.K.2
  • 4
    • 0000468175 scopus 로고
    • Limiting behavior for competing species
    • Hsu S.B. Limiting behavior for competing species. SIAM J. Appl. Math. 34:1978;760.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 760
    • Hsu, S.B.1
  • 5
    • 0000875842 scopus 로고
    • A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms
    • Hsu S.B., Hubbell S., Waltman P. A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms. SIAM J. Appl. Math. 32:1977;366.
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 366
    • Hsu, S.B.1    Hubbell, S.2    Waltman, P.3
  • 6
    • 0000775549 scopus 로고
    • Criteria for the growth of contaminants and mutants in continuous culture
    • Powell E.O. Criteria for the growth of contaminants and mutants in continuous culture. J. Gen. Microbiol. 18:1958;259.
    • (1958) J. Gen. Microbiol. , vol.18 , pp. 259
    • Powell, E.O.1
  • 7
    • 0026818163 scopus 로고
    • Global dynamics of a mathematical model of competition in the chemostat: General response functions and differential death rates
    • Wolkowicz G.S.K., Zhiqi L. 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.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 222
    • Wolkowicz, G.S.K.1    Zhiqi, L.2
  • 8
    • 0018868854 scopus 로고
    • Single-nutrient microbial competition: Qualitative agreement between experimental and theoretically forecast outcomes
    • Hansen S.R., Hubbell S.P. Single-nutrient microbial competition: Qualitative agreement between experimental and theoretically forecast outcomes. Science. 207:1980;1491.
    • (1980) Science , vol.207 , pp. 1491
    • Hansen, S.R.1    Hubbell, S.P.2
  • 10
    • 0014162576 scopus 로고
    • Enrichments of aquatic bacteria in continuous culture
    • Jannasch H.W. Enrichments of aquatic bacteria in continuous culture. Arch. Mikrobiol. 59:1967;165.
    • (1967) Arch. Mikrobiol. , vol.59 , pp. 165
    • Jannasch, H.W.1
  • 11
    • 0015583054 scopus 로고
    • Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and glucose in a minimal medium
    • Jost J.L., Drake J.F., Fredrickson A.G., Tsuchiya H.M. Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and glucose in a minimal medium. J. Bacteriol. 113:1973;834.
    • (1973) J. Bacteriol. , vol.113 , pp. 834
    • Jost, J.L.1    Drake, J.F.2    Fredrickson, A.G.3    Tsuchiya, H.M.4
  • 12
    • 0015103335 scopus 로고
    • Effect of dilution rate on the outcome of chemostat mixed culture experiments
    • Meers J.L. Effect of dilution rate on the outcome of chemostat mixed culture experiments. J. Gen. Microbiol. 67:1971;359.
    • (1971) J. Gen. Microbiol. , vol.67 , pp. 359
    • Meers, J.L.1
  • 13
    • 0023891906 scopus 로고
    • Structural instability of the theory of simple competition
    • Powell G.E. Structural instability of the theory of simple competition. J. Theor. Biol. 132:1988;421.
    • (1988) J. Theor. Biol. , vol.132 , pp. 421
    • Powell, G.E.1
  • 14
    • 0018500981 scopus 로고
    • A stochastic analysis of the growth of competing microbiol populations in a continuous biochemical reactor
    • Stephanopoulos G., Aris R., Fredrickson A.G. A stochastic analysis of the growth of competing microbiol populations in a continuous biochemical reactor. Math. Biosci. 45:1979;99.
    • (1979) Math. Biosci. , vol.45 , pp. 99
    • Stephanopoulos, G.1    Aris, R.2    Fredrickson, A.G.3
  • 15
    • 0022075298 scopus 로고
    • A mathematical model for the chemostat with periodic washout rate
    • Butler G.J., Hsu S.B., Waltman P. A mathematical model for the chemostat with periodic washout rate. SIAM J. Appl. Math. 45:1985;435.
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 435
    • Butler, G.J.1    Hsu, S.B.2    Waltman, P.3
  • 16
    • 0021071835 scopus 로고
    • Competition for fluctuating nutrient
    • Hale J.K., Somolinos A.S. Competition for fluctuating nutrient. J. Math. Biol. 18:1983;255.
    • (1983) J. Math. Biol. , vol.18 , pp. 255
    • Hale, J.K.1    Somolinos, A.S.2
  • 17
    • 0019152390 scopus 로고
    • A competition model for a seasonally fluctuating nutrient
    • Hsu S.B. A competition model for a seasonally fluctuating nutrient. J. Math. Biol. 9:1980;115.
    • (1980) J. Math. Biol. , vol.9 , pp. 115
    • Hsu, S.B.1
  • 18
    • 0028165836 scopus 로고
    • Periodic, quasi-periodic and chaotic coexistence of two competing microbial population in a periodically operated chemostat
    • Lenas P., Pavlou S. Periodic, quasi-periodic and chaotic coexistence of two competing microbial population in a periodically operated chemostat. Math. Biosci. 121:1994;61.
    • (1994) Math. Biosci. , vol.121 , pp. 61
    • Lenas, P.1    Pavlou, S.2
  • 19
    • 0022499063 scopus 로고
    • Bifurcations in a bang-bang controlled mixed culture system
    • Matsubara M., Watanabe N., Hasegawa S. Bifurcations in a bang-bang controlled mixed culture system. Chem. Eng. Sci. 41:1986;523.
    • (1986) Chem. Eng. Sci. , vol.41 , pp. 523
    • Matsubara, M.1    Watanabe, N.2    Hasegawa, S.3
  • 20
    • 0025700253 scopus 로고
    • On the coexistence of competing microbial species in a chemostat under cycling
    • Pavlou S., Kevrekidis I.G., Lyberatos G. On the coexistence of competing microbial species in a chemostat under cycling. Biotechnol. Bioeng. 35:1990;224.
    • (1990) Biotechnol. Bioeng. , vol.35 , pp. 224
    • Pavlou, S.1    Kevrekidis, I.G.2    Lyberatos, G.3
  • 21
    • 0000513747 scopus 로고
    • Competitive coexistence in an oscillating chemostat
    • Smith H. Competitive coexistence in an oscillating chemostat. SIAM J. Appl. Math. 40:1981;498-522.
    • (1981) SIAM J. Appl. Math. , vol.40 , pp. 498-522
    • Smith, H.1
  • 22
    • 0018519318 scopus 로고
    • The growth of competing microbial populations in a CSTR with periodically varying inputs
    • Stephanopoulos G., Fredrickson A.G., Aris R. The growth of competing microbial populations in a CSTR with periodically varying inputs. AIChE J. 25:1979;863.
    • (1979) AIChE J. , vol.25 , pp. 863
    • Stephanopoulos, G.1    Fredrickson, A.G.2    Aris, R.3
  • 23
    • 0022766321 scopus 로고
    • Effect of pH oscillations on a competing mixed culture
    • Davison B.H., Stephanopoulos G. Effect of pH oscillations on a competing mixed culture. Biotechnol. Bioeng. 28:1986;1127.
    • (1986) Biotechnol. Bioeng. , vol.28 , pp. 1127
    • Davison, B.H.1    Stephanopoulos, G.2
  • 24
    • 0027201602 scopus 로고
    • Competition between two microbial populations in a sequencing fed-batch reactor: Theory, experimental verification, and implications for waste treatment applications
    • Dikshitulu S., Baltzis B.C., Lewandowski G.A., Pavlou S. 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.
    • (1993) Biotechnol. Bioeng. , vol.42 , pp. 643
    • Dikshitulu, S.1    Baltzis, B.C.2    Lewandowski, G.A.3    Pavlou, S.4
  • 27
    • 0023533666 scopus 로고
    • Operating Parameters' effects on the outcome of pure and simple competition between two populations in configurations of two interconnected chemostats
    • Kung C.-M., Baltzis B.C. 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.
    • (1987) Biotechnol. Bioeng. , vol.30 , pp. 1006
    • Kung, C.-M.1    Baltzis, B.C.2
  • 28
    • 0032004317 scopus 로고    scopus 로고
    • Oscillations of two competing microbial populations in configurations of two interconnected chemostats
    • Lenas P., Thomopoulos N.A., Vayenas D.V., Pavlou S. Oscillations of two competing microbial populations in configurations of two interconnected chemostats. Math. Biosci. 148:1998;43.
    • (1998) Math. Biosci. , vol.148 , pp. 43
    • Lenas, P.1    Thomopoulos, N.A.2    Vayenas, D.V.3    Pavlou, S.4
  • 29
    • 0010506287 scopus 로고
    • Competition in the gradostat: The role of the communication rate
    • Smith H., Tang B. Competition in the gradostat: The role of the communication rate. J. Math. Biol. 27:1989;139.
    • (1989) J. Math. Biol. , vol.27 , pp. 139
    • Smith, H.1    Tang, B.2
  • 30
    • 51249178956 scopus 로고
    • The gradostat: A model of competition along a nutrient gradient
    • Smith H.L., Waltman P. The gradostat: A model of competition along a nutrient gradient. Microb. Ecol. 22:1991;207.
    • (1991) Microb. Ecol. , vol.22 , pp. 207
    • Smith, H.L.1    Waltman, P.2
  • 31
    • 0000883166 scopus 로고
    • Effect of spatial inhomogeneities on the coexistence of competing microbial populations
    • Stephanopoulos G., Fredrickson A.G. Effect of spatial inhomogeneities on the coexistence of competing microbial populations. Biotechnol. Bioeng. 21:1979;1491.
    • (1979) Biotechnol. Bioeng. , vol.21 , pp. 1491
    • Stephanopoulos, G.1    Fredrickson, A.G.2
  • 32
    • 0010428950 scopus 로고
    • Equilibrium distribution of species among vessels of a gradostat. A singular perturbation approach
    • Smith H.L. Equilibrium distribution of species among vessels of a gradostat. A singular perturbation approach. J. Math. Biol. 30:1991;31.
    • (1991) J. Math. Biol. , vol.30 , pp. 31
    • Smith, H.L.1
  • 35
    • 0027329492 scopus 로고
    • Exploitative competition in the chemostat for two perfectly substitutable resources
    • Ballyk M.M., Wolkowicz G.S.K. Exploitative competition in the chemostat for two perfectly substitutable resources. Math. Biosci. 118:1993;127.
    • (1993) Math. Biosci. , vol.118 , pp. 127
    • Ballyk, M.M.1    Wolkowicz, G.S.K.2
  • 36
    • 0023306057 scopus 로고
    • Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources
    • Butler G.J., Wolkowicz G.S.K. Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources. Math. Biosci. 83:1987;1.
    • (1987) Math. Biosci. , vol.83 , pp. 1
    • Butler, G.J.1    Wolkowicz, G.S.K.2
  • 37
    • 0017847682 scopus 로고
    • Two-(carbon)-substrate continuous cultures: Multiple steady states and their stability
    • Gondo S., Kaushik K., Venkatasubramanian K. Two-(carbon)-substrate continuous cultures: multiple steady states and their stability. Biotechnol. Bioeng. 20:1978;1479.
    • (1978) Biotechnol. Bioeng. , vol.20 , pp. 1479
    • Gondo, S.1    Kaushik, K.2    Venkatasubramanian, K.3
  • 38
    • 0019958718 scopus 로고
    • Mathematical description of competition between two and three bacterial species under dual substrate limitation in the chemostat: A comparison with experimental data
    • Gottschal J.C., Thingstad T.F. 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.
    • (1982) Biotechnol. Bioeng. , vol.24 , pp. 1403
    • Gottschal, J.C.1    Thingstad, T.F.2
  • 39
    • 0001010543 scopus 로고
    • Exploitative competition of microorganisms for two complementary nutrients in continuous cultures
    • Hsu S.B., Cheng K.S., Hubbell S.P. Exploitative competition of microorganisms for two complementary nutrients in continuous cultures. SIAM J. Appl. Math. 41:1981;422.
    • (1981) SIAM J. Appl. Math. , vol.41 , pp. 422
    • Hsu, S.B.1    Cheng, K.S.2    Hubbell, S.P.3
  • 40
    • 0016718782 scopus 로고
    • Competition between two species for two complementary or substitutable resources
    • Léon J.A., Tumpson D.B. Competition between two species for two complementary or substitutable resources. J. Theor. Biol. 50:1975;185.
    • (1975) J. Theor. Biol. , vol.50 , pp. 185
    • Léon, J.A.1    Tumpson, D.B.2
  • 41
    • 0016632639 scopus 로고
    • Theoretical studies on the coexistence of competing species under continuous-flow conditions
    • Taylor P.A., Williams P.J.L. Theoretical studies on the coexistence of competing species under continuous-flow conditions. Can. J. Microbiol. 21:1975;90.
    • (1975) Can. J. Microbiol. , vol.21 , pp. 90
    • Taylor, P.A.1    Williams, P.J.L.2
  • 42
    • 0017400302 scopus 로고
    • Competition for mixed substrates by microbial populations
    • Yoon H., Klinzing G., Blanch H.W. Competition for mixed substrates by microbial populations. Biotechnol. Bioeng. 19:1977;1193.
    • (1977) Biotechnol. Bioeng. , vol.19 , pp. 1193
    • Yoon, H.1    Klinzing, G.2    Blanch, H.W.3
  • 43
    • 0028990855 scopus 로고
    • Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate
    • Lenas P., Pavlou S. Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate. Math. Biosci. 129:1995;111.
    • (1995) Math. Biosci. , vol.129 , pp. 111
    • Lenas, P.1    Pavlou, S.2
  • 44
    • 26744432460 scopus 로고
    • Some aspects of competitive coexistence and persistence
    • in: S. Busenberg, M. Martelli (Eds.), Springer, Berlin
    • W. Jäger, H. Smith, B. Tang, Some aspects of competitive coexistence and persistence, in: S. Busenberg, M. Martelli (Eds.), Delay Differential Equations and Dynamical Systems, Springer, Berlin, 1991, p. 200.
    • (1991) Delay Differential Equations and Dynamical Systems , pp. 200
    • Jäger, W.1    Smith, H.2    Tang, B.3
  • 45
    • 0010427768 scopus 로고
    • Competition in the gradostat for the case of three vessels and three populations
    • El-Owaidy H., Ammar A.A., El-Leithy O.A. Competition in the gradostat for the case of three vessels and three populations. Tamkang J. Math. 21:1990;143.
    • (1990) Tamkang J. Math. , vol.21 , pp. 143
    • El-Owaidy, H.1    Ammar, A.A.2    El-Leithy, O.A.3
  • 46
    • 84996102052 scopus 로고
    • Impossibility of coexistence of three pure and simple competitors in configurations of three interconnected chemostats
    • Chang S.W., Baltzis B.C. Impossibility of coexistence of three pure and simple competitors in configurations of three interconnected chemostats. Biotechnol. Bioeng. 33:1989;460.
    • (1989) Biotechnol. Bioeng. , vol.33 , pp. 460
    • Chang, S.W.1    Baltzis, B.C.2
  • 47
    • 0027973371 scopus 로고
    • Steady-state coexistence of three pure and simple competitors in a four-membered reactor network
    • Baltzis B.C., Wu M. Steady-state coexistence of three pure and simple competitors in a four-membered reactor network. Math. Biosci. 123:1994;147.
    • (1994) Math. Biosci. , vol.123 , pp. 147
    • Baltzis, B.C.1    Wu, M.2
  • 48
    • 38249011654 scopus 로고
    • Asymptotic behaviour of solutions of competition in gradostat with two limiting complementary substrates
    • Zaghrout A.A.S. Asymptotic behaviour of solutions of competition in gradostat with two limiting complementary substrates. Appl. Math. and Comp. 49:1992;19.
    • (1992) Appl. Math. and Comp. , vol.49 , pp. 19
    • Zaghrout, A.A.S.1
  • 50
    • 0032854818 scopus 로고    scopus 로고
    • Computing operating diagrams of bioreactors
    • in press
    • S. Pavlou, Computing operating diagrams of bioreactors. J. Biotechnol. (in press).
    • J. Biotechnol.
    • Pavlou, S.1
  • 51
    • 0015427282 scopus 로고
    • Studies in intermicrobial symbiosis. Saccharomyces cerevisiae and Lactobacillus casei
    • Megee III R.D., Drake J.F., Fredrickson A.G., Tsuchiya H.M. Studies in intermicrobial symbiosis. Saccharomyces cerevisiae and Lactobacillus casei. Can. J. Microbiol. 18:1972;1733.
    • (1972) Can. J. Microbiol. , vol.18 , pp. 1733
    • Megee R.D. III1    Drake, J.F.2    Fredrickson, A.G.3    Tsuchiya, H.M.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.