-
1
-
-
0019927659
-
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
-
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
-
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
-
4
-
-
0003610276
-
-
Longman, London, England
-
Alhumaizi, K., and R. Aris, Surveying Dynamical System: A Study of the Gray-Scott Reaction in a Two-Phase Reactor, Longman, London, England (1995).
-
(1995)
Surveying Dynamical System: A Study of the Gray-Scott Reaction in a Two-Phase Reactor
-
-
Alhumaizi, K.1
Aris, R.2
-
5
-
-
84984082223
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
16
-
-
0003487030
-
-
California Institute of Technology, Pasadena, CA
-
Doedel, E. J., and J. P. Kernevez, Auto: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, California Institute of Technology, Pasadena, CA (1986).
-
(1986)
Auto: Software for Continuation and Bifurcation Problems in Ordinary Differential Equations
-
-
Doedel, E.J.1
Kernevez, J.P.2
-
17
-
-
0019890230
-
Microbial competition
-
Fredrickson, A. G., and G. N. Stephanopoulos, "Microbial Competition," Science, 213, 972 (1981).
-
(1981)
Science
, vol.213
, pp. 972
-
-
Fredrickson, A.G.1
Stephanopoulos, G.N.2
-
18
-
-
0003483217
-
-
Springer-Verlag, New York
-
Golubitsky, M., and D. Schaeffer, Singularities and Groups in Bifurcation Theory, Vol. 1, Springer-Verlag, New York (1985).
-
(1985)
Singularities and Groups in Bifurcation Theory
, vol.1
-
-
Golubitsky, M.1
Schaeffer, D.2
-
19
-
-
0021071835
-
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
-
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
-
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
-
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
-
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
-
-
Wolfram Research, Inc.
-
MATHEMATICA, Wolfram Research, Inc. (1992).
-
(1992)
Mathematica
-
-
-
25
-
-
0022499063
-
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
-
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
-
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
-
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
-
29
-
-
0004077624
-
-
Cambridge Studies in Mathematical Biology, Cambridge University Press, London
-
Smith, H. L., and P. Waltman, The Theory of the Chemostat. Dynamics of Microbial Competition, Cambridge Studies in Mathematical Biology, Cambridge University Press, London (1995).
-
(1995)
The Theory of the Chemostat. Dynamics of Microbial Competition
-
-
Smith, H.L.1
Waltman, P.2
-
30
-
-
0018500981
-
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
-
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
|