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Volumn 46, Issue 2, 2000, Pages 321-334

Microbial competition: Study of global branching phenomena

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); CELL CULTURE; GROWTH KINETICS; HYSTERESIS; MATHEMATICAL MODELS; MICROORGANISMS;

EID: 0033975982     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690460211     Document Type: Article
Times cited : (17)

References (31)
  • 1
    • 0019927659 scopus 로고
    • Theoretical investigations of dynamic behavior of isothermal continuous stirred tank biological reactors
    • Agrawal, P., C. Lee, H. C. Lim, and D. Ramkrishma, "Theoretical Investigations of Dynamic Behavior of Isothermal Continuous Stirred Tank Biological Reactors," Chem. Eng. Sci., 37, 453 (1982).
    • (1982) Chem. Eng. Sci. , vol.37 , pp. 453
    • Agrawal, P.1    Lee, C.2    Lim, H.C.3    Ramkrishma, D.4
  • 2
    • 0030906333 scopus 로고    scopus 로고
    • Stability and bifurcation of an unstructured model of a bioreactor with cell recycle
    • Ajbar, A., and G. Ibrahim, "Stability and Bifurcation of an Unstructured Model of a Bioreactor with Cell Recycle," Math. Comput. Modeling, 25, 31 (1997).
    • (1997) Math. Comput. Modeling , vol.25 , pp. 31
    • Ajbar, A.1    Ibrahim, G.2
  • 3
    • 0031148023 scopus 로고    scopus 로고
    • Periodic and nonperiodic oscillatory behavior in a model for activated sludge reactors
    • Ajbar, A., and G. Ibrahim, "Periodic and Nonperiodic Oscillatory Behavior in a Model for Activated Sludge Reactors," Math. Comput. Modeling, 25, 9 (1997).
    • (1997) Math. Comput. Modeling , vol.25 , pp. 9
    • Ajbar, A.1    Ibrahim, G.2
  • 5
    • 84984082223 scopus 로고
    • A mathematical model for the continuous culture of microorganisms utilizing substrates
    • Andrews, J. F., "A Mathematical Model for the Continuous Culture of Microorganisms Utilizing Substrates," Biotechnol. Bioeng., 10, 707 (1968).
    • (1968) Biotechnol. Bioeng. , vol.10 , pp. 707
    • Andrews, J.F.1
  • 6
    • 0017386947 scopus 로고
    • Dynamics of a chemostat in which two organisms compete for a common substrate
    • Aris, R., and A. E. Humphrey, "Dynamics of a Chemostat in Which Two Organisms Compete for a Common Substrate," Biotechnol. Bioeng., 19, 1375 (1977).
    • (1977) Biotechnol. Bioeng. , vol.19 , pp. 1375
    • Aris, R.1    Humphrey, A.E.2
  • 7
    • 0020304058 scopus 로고
    • Structure of the steady state solutions of lumped parameter chemically reacting system
    • Balakotaiah, V., and D. Luss, "Structure of the Steady State Solutions of Lumped Parameter Chemically Reacting System," Chem. Eng. Sci., 37, 1611 (1982).
    • (1982) Chem. Eng. Sci. , vol.37 , pp. 1611
    • Balakotaiah, V.1    Luss, D.2
  • 8
    • 0020841669 scopus 로고
    • Competition of two microbial populations for a single source in a chemostat when one of them exhibits wall attachment
    • Baltzis, B. C., and A. G. Fredrickson, "Competition of Two Microbial Populations for a Single Source in a Chemostat When One of Them Exhibits Wall Attachment," Biotechnol. Bioeng., 25, 2419 (1983).
    • (1983) Biotechnol. Bioeng. , vol.25 , pp. 2419
    • Baltzis, B.C.1    Fredrickson, A.G.2
  • 9
    • 0342543665 scopus 로고
    • Coexistence of two microbial populations competing for a renewable resource in a non-predator-prey system
    • Baltzis, B. C., and A. G. Fredrickson, "Coexistence of Two Microbial Populations Competing for a Renewable Resource in a Non-Predator-Prey System," Bull. Math. Biol., 46, 155 (1984).
    • (1984) Bull. Math. Biol. , vol.46 , pp. 155
    • Baltzis, B.C.1    Fredrickson, A.G.2
  • 10
    • 0011434314 scopus 로고
    • Fill-and-draw reactor dynamics in biological treatment of hazardous wastes
    • G. A. Lewandowski, P. M. Armenante, and B. C. Baltzis, eds., Engineering Foundation, New York
    • Baltzis, B. C., G. A. Lewandowski, S. H. Chang, and Y. F. Ko, "Fill-and-Draw Reactor Dynamics in Biological Treatment of Hazardous Wastes," Biotechnology Applications in Hazardous Waste Treatment, G. A. Lewandowski, P. M. Armenante, and B. C. Baltzis, eds., Engineering Foundation, New York, p. 111 (1989).
    • (1989) Biotechnology Applications in Hazardous Waste Treatment , pp. 111
    • Baltzis, B.C.1    Lewandowski, G.A.2    Chang, S.H.3    Ko, Y.F.4
  • 11
    • 0002022591 scopus 로고
    • The stability of activated sludge reactors with substrate inhibition kinetics and solids recycle
    • Bertucco, A., P. Volpe, H. E. Klei, T. F. Anderson, and D. W. Sundstrom, "The Stability of Activated Sludge Reactors with Substrate Inhibition Kinetics and Solids Recycle," Water Res., 36, 9 (1989).
    • (1989) Water Res. , vol.36 , pp. 9
    • Bertucco, A.1    Volpe, P.2    Klei, H.E.3    Anderson, T.F.4    Sundstrom, D.W.5
  • 12
    • 0022012911 scopus 로고
    • A mathematical model of the chemostat with a general class of functions describing nutrient uptake
    • Butler, G. J., and G. S. K. Wolkowicz, "A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake," SIAM J. Appl. Math., 45, 138 (1985).
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 138
    • Butler, G.J.1    Wolkowicz, G.S.K.2
  • 13
    • 0023044427 scopus 로고
    • The application of singularity theory to isothermal autocatalytic systems: The elementary scheme a + mb → (m + 1) b
    • D'anna, H., P. G. Lingola, and S. K. Scott, "The Application of Singularity Theory to Isothermal Autocatalytic Systems: The Elementary Scheme A + mB → (m + 1) B," Proc. R. Soc. Lond., A403, 341 (1986).
    • (1986) Proc. R. Soc. Lond. , vol.A403 , pp. 341
    • D'anna, H.1    Lingola, P.G.2    Scott, S.K.3
  • 14
    • 0019545833 scopus 로고
    • An experimental investigation of stability and multiplicity of steady-states in a biological reactor
    • DiBiasio, D., H. C. Lim, and W. A. Weigand, "An Experimental Investigation of Stability and Multiplicity of Steady-States in a Biological Reactor," AIChE J., 27, 284 (1981).
    • (1981) AIChE J. , vol.27 , pp. 284
    • DiBiasio, D.1    Lim, H.C.2    Weigand, W.A.3
  • 15
    • 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., B. C. Baltzis, G. A. Lewandowski, and 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, 643 (1993).
    • (1993) Biotechnol. Bioeng. , vol.42 , pp. 643
    • Dikshitulu, S.1    Baltzis, B.C.2    Lewandowski, G.A.3    Pavlou, S.4
  • 19
    • 0021071835 scopus 로고
    • Competition for fluctuating nutrient
    • Hale, J. K., and A. S. Somolinos, "Competition for Fluctuating Nutrient," J. Math. Biol., 18, 255 (1983).
    • (1983) J. Math. Biol. , vol.18 , pp. 255
    • Hale, J.K.1    Somolinos, A.S.2
  • 20
    • 0018868854 scopus 로고
    • Single-nutrient microbial competition: Qualitative agreement between experimental and theoretically forecast outcomes
    • Hansen, S. R., and S. P. Hubbell, "Single-Nutrient Microbial Competition: Qualitative Agreement Between Experimental and Theoretically Forecast Outcomes," Science, 207, 1491 (1980).
    • (1980) Science , vol.207 , pp. 1491
    • Hansen, S.R.1    Hubbell, S.P.2
  • 21
    • 0000468175 scopus 로고
    • Limiting behavior for competing species
    • Hsu, S. B., "Limiting Behavior for Competing Species," SIAM J. Appl. Math., 34, 760 (1978).
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 760
    • Hsu, S.B.1
  • 22
    • 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, 115 (1980).
    • (1980) J. Math. Biol. , vol.9 , pp. 115
    • Hsu, S.B.1
  • 23
    • 0004013767 scopus 로고
    • Chaotic response of a periodically forced system of two competing microbial species
    • T. C. Bountis, ed., Plenum, New York
    • Lenas, P., and S. Pavlou, "Chaotic Response of a Periodically Forced System of Two Competing Microbial Species," Chaotic Dynamics: Theory and Practice, T. C. Bountis, ed., Plenum, New York, p. 283 (1992).
    • (1992) Chaotic Dynamics: Theory and Practice , pp. 283
    • Lenas, P.1    Pavlou, S.2
  • 24
    • 0004062749 scopus 로고
    • Wolfram Research, Inc.
    • MATHEMATICA, Wolfram Research, Inc. (1992).
    • (1992) Mathematica
  • 25
    • 0022499063 scopus 로고
    • Bifurcations in a bang-bang controlled mixed culture
    • Matsubara, M., N. Watanabe, and S. Hasegawa, "Bifurcations in a Bang-Bang Controlled Mixed Culture," Chem. Eng. Sci., 41, 523 (1986).
    • (1986) Chem. Eng. Sci. , vol.41 , pp. 523
    • Matsubara, M.1    Watanabe, N.2    Hasegawa, S.3
  • 26
    • 0025700253 scopus 로고
    • On the coexistence of competing species in a chemostat under cycling
    • Pavlou, S., I. G. Kevrekidis, and G. Lyberatos, "On the Coexistence of Competing Species in a Chemostat under Cycling," Biotechnol. Bioeng., 35, 224 (1990).
    • (1990) Biotechnol. Bioeng. , vol.35 , pp. 224
    • Pavlou, S.1    Kevrekidis, I.G.2    Lyberatos, G.3
  • 27
    • 0026570272 scopus 로고
    • Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
    • Pavlou, S., and I. G. Kevrekidis, "Microbial Predation in a Periodically Operated Chemostat: A Global Study of the Interaction Between Natural and Externally Imposed Frequencies," Math. Biosci., 108, 1 (1992).
    • (1992) Math. Biosci. , vol.108 , pp. 1
    • Pavlou, S.1    Kevrekidis, I.G.2
  • 28
    • 0342978037 scopus 로고
    • Structured instability of the theory of simple competition
    • Powell, G. E., "Structured Instability of the Theory of Simple Competition," J. Theor. Biol., 18, 259 (1988).
    • (1988) J. Theor. Biol. , vol.18 , pp. 259
    • Powell, G.E.1
  • 30
    • 0018500981 scopus 로고
    • A stochastic analysis of the growth of competing microbial populations in a continuous biochemical reactor
    • Stephanopoulos, G., R. Aris, and A. G. Fredrickson, "A Stochastic Analysis of the Growth of Competing Microbial Populations in a Continuous Biochemical Reactor," Math. Biosci., 45, 99 (1979).
    • (1979) Math. Biosci. , vol.45 , pp. 99
    • Stephanopoulos, G.1    Aris, R.2    Fredrickson, A.G.3
  • 31
    • 0018519318 scopus 로고
    • The growth of competing microbial populations in a cstr with periodically varying inputs
    • Stephanopoulos, G., A. G. Fredrickson, and R. Aris, "The Growth of Competing Microbial Populations in a CSTR with Periodically Varying Inputs," AIChE J., 25, 863 (1979).
    • (1979) AIChE J. , vol.25 , pp. 863
    • Stephanopoulos, G.1    Fredrickson, A.G.2    Aris, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.