Results 161 to 170 of about 11,845 (215)
Food chain dynamics in the chemostat
Mathematical Biosciences, 1998 The asymptotic behavior of a tri-trophic food chain model in the chemostat is studied. The Monod-Herbert growth model is used for all trophic levels. The analysis is carried out numerically, by finding both local and global bifurcations of equilibria and of limit cycles with respect to two chemostat control parameters: the dilution rate of the ...
Boer, M.P. +2 more
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The Simple Chemostat with Wall Growth
SIAM Journal on Applied Mathematics, 1999The authors take the simplest chemostat model and modify it to account for wall growth. A term is added to account for the adherence of the organism to the wall and a term for shearing from the wall. Since the population on the wall does not wash out of the system, the corresponding term is removed from the equations.
Paul Waltman
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Mathematical Biosciences, 1990
Sufficient conditions are obtained for persistence in chemostat models for interactions of a limiting nutrient (or substrate) and two populations, and for two limiting complementary substrates and a single population. The results of Freedman and Waltman are extended for the three interacting predator-prey populations.
El-Owaidy, H., El-Leithy, O. A.
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Sufficient conditions are obtained for persistence in chemostat models for interactions of a limiting nutrient (or substrate) and two populations, and for two limiting complementary substrates and a single population. The results of Freedman and Waltman are extended for the three interacting predator-prey populations.
El-Owaidy, H., El-Leithy, O. A.
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Thermodynamics of the chemostat
Zeitschrift für allgemeine Mikrobiologie, 1971Abstract Practical equations are written for the transfer rates of substrates and products into and out of cells growing in the chemostat, the rates of heat production and of biomass production, and the exchange rates of heat and matter between the chemostat and its surroundings.
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Competition in a Chemostat with Wall Attachment
SIAM Journal on Applied Mathematics, 2000Summary: A mathematical model of microbial competition for limiting nutrient and wall-attachment sites in a chemostat, formulated by \textit{R. Freter} et al. [see, e. g., Microecology and Therapy 16, 147-155 (1986); ibid. 14, 89-96 (1984)] in their study of the colonization resistance phenomena associated with the gut microflora, is mathematically ...
Eric D. Stemmons, Hal L. Smith
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2017
Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow. This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in ...
Harmand, Jérome +3 more
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Invented by J. Monod, and independently by A. Novick and L. Szilard, in 1950, the chemostat is both a micro-organism culturing device and an abstracted ecosystem managed by a controlled nutrient flow. This book studies mathematical models of single species growth as well as competition models of multiple species by integrating recent work in ...
Harmand, Jérome +3 more
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Ecological Modelling, 1988
Abstract A general model for the interaction of two bacterial populations with interfering metabolic activities is provided. We discuss the dynamics of the system. As a result we obtain bistability under continuous-flow conditions if the growth rate of the first organism in the food chain depends on the substrate of the second, and if the growth rate
R. Kreikenbohm, E. Bohl
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Abstract A general model for the interaction of two bacterial populations with interfering metabolic activities is provided. We discuss the dynamics of the system. As a result we obtain bistability under continuous-flow conditions if the growth rate of the first organism in the food chain depends on the substrate of the second, and if the growth rate
R. Kreikenbohm, E. Bohl
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Leishmania tropica: Chemostatic cultivation
Experimental Parasitology, 1970Abstract A semidefined, cell-free liquid medium was developed which supported batch cultivation of L. tropica, L. donovani , and L. brasiliensis , after preadaptation over N.I.H. blood agar. Average batch growth peaks of 2.4 × 10 8 cells/ml for L. tropica , 4.1 × 10 7 cells/ml for L. donovani , and 9.9 × 10 7 cells/ml for L.
F W, Schaefer, E J, Bell, F J, Etges
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A dynamic mathematical model of the chemostat
Biotechnology and Bioengineering, 1970AbstractA number of experimental studies on the dynamic, behavior of the chemostat have shown that the specific growth rate does not, instantaneously adjust to changes in the concentration of limiting substrate in the chemostat following disturbances in the steady state input limiting substrate concentration or in the steady state dilution rate ...
T B, Young, D F, Bruley, H R, Bungay
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2017
This chapter is devoted to the stabilization of chemostats under measurement delays. Continuous stirred microbial bioreactors, often called chemostats, cover a wide range of applications; specialized “pure culture” biotechnological processes for the production of specialty chemicals (proteins, antibiotics, etc.) as well as large-scale environmental ...
Iasson Karafyllis, Miroslav Krstic
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This chapter is devoted to the stabilization of chemostats under measurement delays. Continuous stirred microbial bioreactors, often called chemostats, cover a wide range of applications; specialized “pure culture” biotechnological processes for the production of specialty chemicals (proteins, antibiotics, etc.) as well as large-scale environmental ...
Iasson Karafyllis, Miroslav Krstic
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