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1

Muñoz-Aguayo, Jeannette, Kevin S. Lang, Timothy M. LaPara, Gerardo González, and Randall S. Singer. "Evaluating the Effects of Chlortetracycline on the Proliferation of Antibiotic-Resistant Bacteria in a Simulated River Water Ecosystem." Applied and Environmental Microbiology 73, no. 17 (2007): 5421–25. http://dx.doi.org/10.1128/aem.00708-07.

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ABSTRACT Antibiotics and antibiotic metabolites have been found in the environment, but the biological activities of these compounds are uncertain, especially given the low levels that are typically detected in the environment. The objective of this study was to estimate the selection potential of chlortetracycline (CTC) on the antibiotic resistance of aerobic bacterial populations in a simulated river water ecosystem. Six replicates of a 10-day experiment using river water in continuous flow chemostat systems were conducted. Each replicate used three chemostats, one serving as a control to wh
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Brauer, Matthew J., Alok J. Saldanha, Kara Dolinski, and David Botstein. "Homeostatic Adjustment and Metabolic Remodeling in Glucose-limited Yeast Cultures." Molecular Biology of the Cell 16, no. 5 (2005): 2503–17. http://dx.doi.org/10.1091/mbc.e04-11-0968.

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We studied the physiological response to glucose limitation in batch and steady-state (chemostat) cultures of Saccharomyces cerevisiae by following global patterns of gene expression. Glucose-limited batch cultures of yeast go through two sequential exponential growth phases, beginning with a largely fermentative phase, followed by an essentially completely aerobic use of residual glucose and evolved ethanol. Judging from the patterns of gene expression, the state of the cells growing at steady state in glucose-limited chemostats corresponds most closely with the state of cells in batch cultur
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O'Connell, Heather A., Greg S. Kottkamp, James L. Eppelbaum, Bryan A. Stubblefield, Sarah E. Gilbert, and Eric S. Gilbert. "Influences of Biofilm Structure and Antibiotic Resistance Mechanisms on Indirect Pathogenicity in a Model Polymicrobial Biofilm." Applied and Environmental Microbiology 72, no. 7 (2006): 5013–19. http://dx.doi.org/10.1128/aem.02474-05.

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ABSTRACT Indirect pathogenicity (IP), the commensal protection of antibiotic-sensitive pathogens by resistant microorganisms of low intrinsic virulence, can prevent the eradication of polymicrobial infections. The contributions of antibiotic resistance mechanisms and biofilm structure to IP within polymicrobial biofilms were investigated using a model two-member consortium. Escherichia coli ATCC 33456 was transformed with vectors conferring either ampicillin or spectinomycin resistance, creating two distinct populations with different resistance mechanisms. Each strain alone or the consortium
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Ogden, Adam, Michael Kuhn, Michael Dority, et al. "Evaluation of Pharmacokinetic/Pharmacodynamic Relationships of PD-0162819, a Biotin Carboxylase Inhibitor Representing a New Class of Antibacterial Compounds, UsingIn VitroInfection Models." Antimicrobial Agents and Chemotherapy 56, no. 1 (2011): 124–29. http://dx.doi.org/10.1128/aac.00090-11.

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ABSTRACTThe present study investigated the pharmacokinetic/pharmacodynamic (PK/PD) relationships of a prototype biotin carboxylase (BC) inhibitor, PD-0162819, againstHaemophilus influenzae3113 in static concentration time-kill (SCTK) and one-compartment chemostatin vitroinfection models.H. influenzae3113 was exposed to PD-0162819 concentrations of 0.5 to 16× the MIC (MIC = 0.125 μg/ml) and area-under-the-curve (AUC)/MIC ratios of 1 to 1,100 in SCTK and chemostat experiments, respectively. Serial samples were collected over 24 h. For efficacy driver analysis, a sigmoid maximum-effect (Emax) mod
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Xu, Changjin, Qingyi Cui, Zixin Liu, et al. "Extended Hybrid Controller Design of Bifurcation in a Delayed Chemostat Model." Match - Communications in Mathematical and in Computer Chemistry 90, no. 3 (2023): 609–48. http://dx.doi.org/10.46793/match.90-3.609x.

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Fractional-order differential models plays a pivotal role in depicting the relationship among concentration changes of various chemical substances in chemistry. In this current study, we will explore the dynamics of a delayed chemostat model. First of all, we prove that the solution of the delayed chemostat model exists and is unique by virtue of fixed point theorem. Secondly, we demonstrate that the solution of the delayed chemostat model is non-negative by applying some suitable inequality strategies. Thirdly, the boundedness of the solution to the delayed chemostat model is explored via con
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Ratsak, C. H., B. W. Kooi, and H. W. van Verseveld. "Biomass Reduction and Mineralization Increase Due to the Ciliate Tetrahymena pyriformis Grazing on the Bacterium Pseudomonas fluorescens." Water Science and Technology 29, no. 7 (1994): 119–28. http://dx.doi.org/10.2166/wst.1994.0322.

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The currently high sludge production and increasing processing costs call for waste-water treatment plants with high purification efficiency and low biomass production. We studied the latter issue through two-stage chemostat cascades to assess the overall biomass reduction due to ciliate grazing. The bacteria were cultured in the first chemostat whereas the ciliates, grazing on the bacteria from the first chemostat, were cultured in the second chemostat. Mathematical modelling was used to describe the bacteria/ciliate dynamics and some of the growth parameters were fitted. In the second chemos
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Beste, D. J. V., J. Peters, T. Hooper, C. Avignone-Rossa, M. E. Bushell, and J. McFadden. "Compiling a Molecular Inventory for Mycobacterium bovis BCG at Two Growth Rates: Evidence for Growth Rate-Mediated Regulation of Ribosome Biosynthesis and Lipid Metabolism." Journal of Bacteriology 187, no. 5 (2005): 1677–84. http://dx.doi.org/10.1128/jb.187.5.1677-1684.2005.

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ABSTRACT An experimental system of Mycobacterium tuberculosis growth in a carbon-limited chemostat has been established by the use of Mycobacterium bovis BCG as a model organism. For this model, carbon-limited chemostats with low concentrations of glycerol were used to simulate possible growth rates during different stages of tuberculosis. A doubling time of 23 h (D = 0.03 h−1) was adopted to represent cells during the acute phase of infection, whereas a lower dilution rate equivalent to a doubling time of 69 h (D = 0.01 h−1) was used to model mycobacterial persistence. This chemostat model al
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Wong, A. D., and C. D. Goldsmith. "The Impact of a Chemostat Discharge Containing Oil Degrading Bacteria on the Biological Kinetics of a Refinery Activated Sludge Process." Water Science and Technology 20, no. 11-12 (1988): 131–36. http://dx.doi.org/10.2166/wst.1988.0276.

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The effect of discharging specific oil degrading bacteria from a chemostat to a refinery activated sludge process was determined biokinetically. Plant data for the kinetic evaluation of the waste treatment plant was collected before and during treatment. During treatment, the 500 gallon chemostatic growth chamber was operated on an eight hour hydraulic retention time, at a neutral pH, and was fed a mixture of refinery wastewater and simple sugars. The biokinetic constants k (days−1), Ks (mg/L), and K (L/mg-day) were determined before and after treatment by Monod and Lineweaver-Burk plots. Soli
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Zhao, Dianli, Sanling Yuan, and Haidong Liu. "Stochastic dynamics of the delayed chemostat with Lévy noises." International Journal of Biomathematics 12, no. 05 (2019): 1950056. http://dx.doi.org/10.1142/s1793524519500566.

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This paper formulates and studies a delayed chemostat with Lévy noises. Existence of the globally positive solution is proved first by establishing suitable Lyapunov functions, and a further result on exact Lyapunov exponent shows the growth of the total concentration in the chemostat. Then, we prove existence of the uniquely ergodic stationary distribution for a subsystem of the nutrient, based on this, a unique threshold is identified, which completely determines persistence or not of the microorganism in the chemostat. Besides, recurrence is studied under special conditions in case that the
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McDonald, Ian J., Teena Walker, Byron F. Johnson, Antonio J. Aveledo, and C. Stan Tsai. "Effects of ethanol and acetate on glucose-limited chemostat cultures of Schizosaccharomyces pombe, a fission yeast." Canadian Journal of Microbiology 33, no. 7 (1987): 598–601. http://dx.doi.org/10.1139/m87-104.

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Glucose-limited chemostat cultures of Schizosaccharomyces pombe were studied to assess metabolic changes induced by the presence of ethanol and acetate. Both ethanol and acetate were utilized by the chemostat cultures. Ethanol increased the maintenance rate of glucose assimilation. Acetate reduced the maintenance rate of glucose consumption and cell counts without significantly affecting the glucose requirements for growth and cell yield. Ethanol accumulation in the chemostat cultures was facilitated by high dilution rates and noninhibitory concentrations of acetate.
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11

MacNicol, Jennifer L., Simone Renwick, Caroline M. Ganobis, Emma Allen-Vercoe, Jeffery Scott Weese, and Wendy Pearson. "A Comparison of Methods to Maintain the Equine Cecal Microbial Environment In Vitro Utilizing Cecal and Fecal Material." Animals 12, no. 15 (2022): 2009. http://dx.doi.org/10.3390/ani12152009.

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The equine gastrointestinal (GI) microbiota is intimately related to the horse. The objective of the current study was to evaluate the microbiome and metabolome of cecal inoculum maintained in an anaerobic chamber or chemostat batch fermenter, as well as the fecal slurry maintained in an anaerobic chamber over 48 h. Cecal and fecal content were collected from healthy adult horses immediately upon death. Cecal fluid was used to inoculate chemostat vessels (chemostat cecal, n = 11) and vessels containing cecal fluid (anaerobic cecal, n = 15) or 5% fecal slurry (anaerobic fecal, n = 6) were maint
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BLACK, D. GLENN, FEDERICO HARTE, and P. MICHAEL DAVIDSON. "Escherichia coli Thermal Inactivation Relative to Physiological State." Journal of Food Protection 72, no. 2 (2009): 399–402. http://dx.doi.org/10.4315/0362-028x-72.2.399.

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Studies have explored the use of various nonlinear regression techniques to better describe shoulder and/or tailing effects in survivor curves. Researchers have compiled and developed a number of diverse models for describing microbial inactivation and presented goodness of fit analysis to compare them. However, varying physiological states of microorganisms could affect the measured response in a particular population and add uncertainty to results from predictive models. The objective of this study was to determine if the shape and magnitude of the survivor curve are possibly the result of t
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Hoshi, K., and H. Deguchi. "The characteristics of the biofilm fixed inside porous medium by sequencing batch reactor." Water Science and Technology 46, no. 1-2 (2002): 261–65. http://dx.doi.org/10.2166/wst.2002.0487.

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The fixed biomass inside porous medium has two layers where biomass yield constants are different from each other when it is cultivated in the chemostat reactor. The biomass fixed inside porous medium is tested to see whether the operation type affected the structure of it. Two kinds of operation method of the reactor were used for the biofilm cultivation. One is the batch reactor. Another is the chemostat reactor. From the kinetic test, it is found that the biofilm fixed in the batch reactor does not have two layers that were observed in the biofilm from the chemostat reactor. Within the expe
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14

Li, Yanqiu. "HOPF bifurcation of the chemostat with delay and simplified holling type-iv response function." MATEC Web of Conferences 309 (2020): 04020. http://dx.doi.org/10.1051/matecconf/202030904020.

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In this paper, the author investigates Chemostat with Delay and Simplifified Holling Type-IV Response Function, which more match the actual meaning in the chemostat system. Using bifurcation theory, we discuss the hopf bifurcation stability in detail.
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Çinar, Ö., T. Deniz, and C. P. L. Grady. "Effect of oxygen on the stability and inducibility of the biodegradative capability of benzoate." Water Science and Technology 48, no. 8 (2003): 247–54. http://dx.doi.org/10.2166/wst.2003.0475.

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Anoxic zones in biological nitrogen removal systems are typically open to the atmosphere and receive oxygen from the atmosphere and the recirculation flow from the aerobic zone. This raises the question of how such oxygen input might influence the stability and inducibility of the enzyme systems involved in biodegradation of aromatic compounds. To investigate this, various amounts of oxygen were added to mixed culture denitrifying chemostats receiving benzoate at 667 mg/h as chemical oxygen demand (COD), and the stability and inducibility of the culture’s benzoate biodegradative capability (BB
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Frigon, Dominic, Gerard Muyzer, Mark van Loosdrecht та Lutgarde Raskin. "rRNA and Poly-β-Hydroxybutyrate Dynamics in Bioreactors Subjected to Feast and Famine Cycles". Applied and Environmental Microbiology 72, № 4 (2006): 2322–30. http://dx.doi.org/10.1128/aem.72.4.2322-2330.2006.

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ABSTRACT Feast and famine cycles are common in activated sludge wastewater treatment systems, and they select for bacteria that accumulate storage compounds, such as poly-β-hydroxybutyrate (PHB). Previous studies have shown that variations in influent substrate concentrations force bacteria to accumulate high levels of rRNA compared to the levels in bacteria grown in chemostats. Therefore, it can be hypothesized that bacteria accumulate more rRNA when they are subjected to feast and famine cycles. However, PHB-accumulating bacteria can form biomass (grow) throughout a feast and famine cycle an
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Notley-McRobb, Lucinda, Rachel Pinto, Shona Seeto, and Thomas Ferenci. "Regulation of mutY and Nature of Mutator Mutations in Escherichia coli Populations under Nutrient Limitation." Journal of Bacteriology 184, no. 3 (2002): 739–45. http://dx.doi.org/10.1128/jb.184.3.739-745.2002.

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ABSTRACT Previous analysis of aerobic, glucose-limited continuous cultures of Escherichia coli revealed that G:C-to-T:A (G:C→T:A) transversions were the most commonly occurring type of spontaneous mutation. One possible explanation for the preponderance of these mutations was that nutrient limitation repressed MutY-dependent DNA repair, resulting in increased proportions of G:C→T:A transversions. The regulation of the mutY-dependent DNA repair system was therefore studied with a transcriptional mutY-lacZ fusion recombined into the chromosome. Expression from the mutY promoter was fourfold high
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Bhandari, Harish Chandra, and Kanhaiya Jha. "An Analysis of Microbial Population of Chemostat Model in Fuzzy Environment." Nepali Mathematical Sciences Report 36, no. 1-2 (2019): 1–10. http://dx.doi.org/10.3126/nmsr.v36i1-2.29965.

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Chemostat is a continuous stirred tank reactor used for continuous microbial biomass production in commercial, medical and other research problems. While modeling real world phenomena through differential equations as backbone of practical problems, we need to introduce various parameters. These parameters may be vague, imprecise and uncertain. To incorporate these uncertainties, the notion of fuzzy differential equations is used in chemostat model as one of the tool. In this paper, we discuss some new results for the stability analysis of chemostat model and the results so obtained are justif
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SUN, SHULIN, and XIAOFENG ZHANG. "ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE." Journal of Biological Systems 26, no. 02 (2018): 225–46. http://dx.doi.org/10.1142/s0218339018500110.

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In this paper, a stochastic delayed chemostat model with nutrient storage is proposed and investigated. First, we state that there is a unique global positive solution for this stochastic system. Second, using the classical approach of Lyapunov function analysis, this stochastic delayed chemostat model is discussed in detail. We establish some sufficient conditions for the extinction of the microorganism, furthermore, we prove that the microorganism will become persistent in the mean in the chemostat under some conditions. Finally, the obtained results are illustrated by computer simulations,
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Swank, Zoe, and Sebastian J. Maerkl. "CFPU: A Cell-Free Processing Unit for High-Throughput, Automated In Vitro Circuit Characterization in Steady-State Conditions." BioDesign Research 2021 (March 17, 2021): 1–11. http://dx.doi.org/10.34133/2021/2968181.

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Forward engineering synthetic circuits are at the core of synthetic biology. Automated solutions will be required to facilitate circuit design and implementation. Circuit design is increasingly being automated with design software, but innovations in experimental automation are lagging behind. Microfluidic technologies made it possible to perform in vitro transcription-translation (tx-tl) reactions with increasing throughput and sophistication, enabling screening and characterization of individual circuit elements and complete circuit designs. Here, we developed an automated microfluidic cell-
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Behnke, Sabrina, Albert E. Parker, Dawn Woodall, and Anne K. Camper. "Comparing the Chlorine Disinfection of Detached Biofilm Clusters with Those of Sessile Biofilms and Planktonic Cells in Single- and Dual-Species Cultures." Applied and Environmental Microbiology 77, no. 20 (2011): 7176–84. http://dx.doi.org/10.1128/aem.05514-11.

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ABSTRACTAlthough the detachment of cells from biofilms is of fundamental importance to the dissemination of organisms in both public health and clinical settings, the disinfection efficacies of commonly used biocides on detached biofilm particles have not been investigated. Therefore, the question arises whether cells in detached aggregates can be killed with disinfectant concentrations sufficient to inactivate planktonic cells.Burkholderia cepaciaandPseudomonas aeruginosawere grown in standardized laboratory reactors as single species and in coculture. Cluster size distributions in chemostats
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Kreikenbohm, R., and E. Bohl. "Bistability in the chemostat." Ecological Modelling 43, no. 3-4 (1988): 287–301. http://dx.doi.org/10.1016/0304-3800(88)90009-9.

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Sree Hari Rao, V., and P. Raja Sekhara Rao. "Basic chemostat model revisited." Differential Equations and Dynamical Systems 17, no. 1-2 (2009): 3–16. http://dx.doi.org/10.1007/s12591-009-0001-2.

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El-Owaidy, H., and O. A. El-Leithy. "Persistence in the chemostat." Mathematical Biosciences 101, no. 1 (1990): 27–39. http://dx.doi.org/10.1016/0025-5564(90)90100-d.

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Aranda-Olmedo, Isabel, Patricia Marín, Juan L. Ramos, and Silvia Marqués. "Role of the ptsN Gene Product in Catabolite Repression of the Pseudomonas putida TOL Toluene Degradation Pathway in Chemostat Cultures▿." Applied and Environmental Microbiology 72, no. 11 (2006): 7418–21. http://dx.doi.org/10.1128/aem.01067-06.

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ABSTRACT The Pseudomonas putida KT2440 TOL upper pathway is repressed under nonlimiting conditions in cells growing in chemostat with succinate as a carbon source. We show that the ptsN gene product IIANtr participates in this repression. Crc, involved in yeast extract-dependent repression in batch cultures, did not influence expression when cells were growing in a chemostat with succinate at maximum rate.
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Haddix, Pryce L., and Robert M. Q. Shanks. "Production of prodigiosin pigment by Serratia marcescens is negatively associated with cellular ATP levels during high-rate, low-cell-density growth." Canadian Journal of Microbiology 66, no. 3 (2020): 243–55. http://dx.doi.org/10.1139/cjm-2019-0548.

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Serratia marcescens is a facultatively anaerobic bacterium and the most recognized producer of the hydrophobic pigment prodigiosin. Previous work has shown that prodigiosin both increases ATP production during population lag phase and approximately doubles the stationary-phase cell yield. Here, we employed both batch and chemostat culture methods to investigate prodigiosin’s role during high rate growth at low cell density as peak cellular ATP levels decline. Batch culture experiments utilizing artificial pigment induction showed an ATP reduction during low cell density growth. In addition, pi
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Probert, H. M., and G. R. Gibson. "Development of a fermentation system to model sessile bacterial populations in the human colon." Biofilms 1, no. 1 (2004): 13–19. http://dx.doi.org/10.1017/s1479050503001029.

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A fermentation system was designed to model the human colonic microflora in vitro. The system provided a framework of mucin beads to encourage the adhesion of bacteria, which was encased within a dialysis membrane. The void between the beads was inoculated with faeces from human donors. Water and metabolites were removed from the fermentation by osmosis using a solution of polyethylene glycol (PEG). The system was concomitantly inoculated alongside a conventional single-stage chemostat. Three fermentations were carried out using inocula from three healthy human donors.Bacterial populations fro
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Hansson, Erika M., Dylan Z. Childs, and Andrew P. Beckerman. "Mesostats—A multiplexed, low-cost, do-it-yourself continuous culturing system for experimental evolution of mesocosms." PLOS ONE 17, no. 7 (2022): e0272052. http://dx.doi.org/10.1371/journal.pone.0272052.

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Microbial experimental evolution allows studying evolutionary dynamics in action and testing theory predictions in the lab. Experimental evolution in chemostats (i.e. continuous flow through cultures) has recently gained increased interest as it allows tighter control of selective pressures compared to static batch cultures, with a growing number of efforts to develop systems that are easier and cheaper to construct. This protocol describes the design and construction of a multiplexed chemostat array (dubbed “mesostats”) designed for cultivation of algae in 16 concurrent populations, specifica
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Beste, D. J. V., E. Laing, B. Bonde, C. Avignone-Rossa, M. E. Bushell, and J. J. McFadden. "Transcriptomic Analysis Identifies Growth Rate Modulation as a Component of the Adaptation of Mycobacteria to Survival inside the Macrophage." Journal of Bacteriology 189, no. 11 (2007): 3969–76. http://dx.doi.org/10.1128/jb.01787-06.

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ABSTRACT The adaptation of the tubercle bacillus to the host environment is likely to involve a complex set of gene regulatory events and physiological switches in response to environmental signals. In order to deconstruct the physiological state of Mycobacterium tuberculosis in vivo, we used a chemostat model to study a single aspect of the organism's in vivo state, slow growth. Mycobacterium bovis BCG was cultivated at high and low growth rates in a carbon-limited chemostat, and transcriptomic analysis was performed to identify the gene regulation events associated with slow growth. The resu
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Wilhelm, Steven W., and Charles G. Trick. "Effects of vitamin B12 concentration on chemostat cultured Synechococcus sp. strain PCC 7002." Canadian Journal of Microbiology 41, no. 2 (1995): 145–51. http://dx.doi.org/10.1139/m95-019.

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The effects of vitamin B12 availability on the physiology of the cyanobacterium Synechococcus sp. strain PCC 7002 were examined in a continuous culture chemostat system. The availability of vitamin B12 within the system was demonstrated to control the cell density and cellular chlorophyll levels under nutrient-limiting conditions. Electron micrographs of vitamin B12 replete and vitamin B12 deficient cyanobacteria indicated that a reduction in vitamin B12 availability induced a loss of thylakoid integrity within the system. Polyacrylamide gel electrophoresis demonstrated that the expression of
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LIU, XIAOJUAN, and SHULIN SUN. "DYNAMICAL BEHAVIOR OF STOCHASTIC COMPETITION BETWEEN PLASMID-BEARING AND PLASMID-FREE ORGANISMS IN A CHEMOSTAT MODEL." Journal of Biological Systems 29, no. 01 (2021): 147–67. http://dx.doi.org/10.1142/s0218339021500066.

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In this paper, a model of stochastic competition between plasmid-bearing and plasmid-free organisms in a chemostat is investigated. First, we show that there is a unique global positive solution for the stochastic system. Second, by employing stochastic Lyapunov functions, Itô formula, strong law of large number and some other important inequalities, stochastic characteristics of the stochastic competition chemostat model are studied such as the stochastic asymptotic behaviors of the system. Finally, some numerical simulations are given.
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Lindström, Torsten, and Yuanji Cheng. "A Rosenzweig-MacArthur (1963) Criterion for the Chemostat." Scientific World Journal 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/5626980.

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The Rosenzweig-MacArthur (1963) criterion is a graphical criterion that has been widely used for elucidating the local stability properties of the Gause (1934) type predator-prey systems. It has not been stated whether a similar criterion holds for models with explicit resource dynamics (Kooi et al. (1998)), like the chemostat model. In this paper we use the implicit function theorem and implicit derivatives for proving that a similar graphical criterion holds under chemostat conditions, too.
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Yoon, Sukhwan, Robert A. Sanford, and Frank E. Löffler. "Nitrite Control over Dissimilatory Nitrate/Nitrite Reduction Pathways in Shewanella loihica Strain PV-4." Applied and Environmental Microbiology 81, no. 10 (2015): 3510–17. http://dx.doi.org/10.1128/aem.00688-15.

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ABSTRACTShewanella loihicastrain PV-4 harbors both a functional denitrification (NO3−→N2) and a respiratory ammonification (NO3−→NH4+) pathway. Batch and chemostat experiments revealed that NO2−affects pathway selection and the formation of reduced products. Strain PV-4 cells grown with NO2−as the sole electron acceptor produced exclusively NH4+. With NO3−as the electron acceptor, denitrification predominated and N2O accounted for ∼90% of reduced products in the presence of acetylene. Chemostat experiments demonstrated that the NO2−:NO3−ratio affected the distribution of reduced products, and
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Ugalde-Salas, Pablo, Héctor Ramírez C., Jérôme Harmand, and Elie Desmond-Le Quéméner. "Microbial Interactions as Drivers of a Nitrification Process in a Chemostat." Bioengineering 8, no. 3 (2021): 31. http://dx.doi.org/10.3390/bioengineering8030031.

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This article deals with the inclusion of microbial ecology measurements such as abundances of operational taxonomic units in bioprocess modelling. The first part presents the mathematical analysis of a model that may be framed within the class of Lotka–Volterra models fitted to experimental data in a chemostat setting where a nitrification process was operated for over 500 days. The limitations and the insights of such an approach are discussed. In the second part, the use of an optimal tracking technique (developed within the framework of control theory) for the integration of data from genet
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Almuallem, Nada A., and Miled El El Hajji. "How Can Viruses Affect the Growth of Zooplankton on Phytoplankton in a Chemostat?" Mathematics 13, no. 7 (2025): 1192. https://doi.org/10.3390/math13071192.

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In this work, we investigated a simple mathematical model describing the consumption of virus-infected phytoplankton by zooplankton in a chemostat. The system was studied by calculating the basic reproduction number, the equilibrium points, and their local and global stability. A sensitivity analysis was used to identify key chemostat factors that significantly affected the aquatic system. Additionally, we considered an optimal strategy based on the use of the dilution rate as an operating parameter that helps maintain the ecological balance of the aquatic food web.
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Baxley, J. V., and S. B. Robinson. "Coexistence in the unstirred chemostat." Applied Mathematics and Computation 89, no. 1-3 (1998): 41–65. http://dx.doi.org/10.1016/s0096-3003(97)81647-5.

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37

Powell, Godfrey E. "Relaxation times in chemostat culture." Journal of Theoretical Biology 112, no. 3 (1985): 589–94. http://dx.doi.org/10.1016/s0022-5193(85)80024-2.

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38

De Leenheer, Patrick, and Hal Smith. "Feedback control for chemostat models." Journal of Mathematical Biology 46, no. 1 (2003): 48–70. http://dx.doi.org/10.1007/s00285-002-0170-x.

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39

Waltman, Paul. "Coexistence in chemostat-like models." Rocky Mountain Journal of Mathematics 20, no. 4 (1990): 777–807. http://dx.doi.org/10.1216/rmjm/1181073042.

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40

Kerr, Emily O., and Maitreya J. Dunham. "Chemostat Culture for Yeast Physiology." Cold Spring Harbor Protocols 2017, no. 7 (2017): pdb.prot089003. http://dx.doi.org/10.1101/pdb.prot089003.

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41

Menawat, Anil S., and Jayaram Balachander. "Alternate control structures for chemostat." AIChE Journal 37, no. 2 (1991): 302–6. http://dx.doi.org/10.1002/aic.690370220.

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42

Campillo, F., M. Joannides, and I. Larramendy-Valverde. "Stochastic modeling of the chemostat." Ecological Modelling 222, no. 15 (2011): 2676–89. http://dx.doi.org/10.1016/j.ecolmodel.2011.04.027.

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43

Futamata, Hiroyuki, Yayoi Nagano, Kazuya Watanabe, and Akira Hiraishi. "Unique Kinetic Properties of Phenol-Degrading Variovorax Strains Responsible for Efficient Trichloroethylene Degradation in a Chemostat Enrichment Culture." Applied and Environmental Microbiology 71, no. 2 (2005): 904–11. http://dx.doi.org/10.1128/aem.71.2.904-911.2005.

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ABSTRACT A chemostat enrichment of soil bacteria growing on phenol as the sole carbon source has been shown to exhibit quite high trichloroethylene (TCE)-degrading activities (H. Futamata, S. Harayama, and K. Watanabe, Appl. Environ. Microbiol. 67:4671-4677, 2001). To identify the bacterial populations responsible for the high TCE-degrading activity, a multidisciplinary survey of the chemostat enrichment was conducted by employing molecular-ecological and culture-dependent approaches. Three chemostat enrichment cultures were newly developed under different phenol-loading conditions (0.25, 0.75
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44

Chi, Mengnan, and Wencai Zhao. "Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function." Complexity 2019 (March 10, 2019): 1–13. http://dx.doi.org/10.1155/2019/8719067.

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In this paper, we formulate and investigate a two-microorganism and single nutrient chemostat model with Monod-Haldane response function and random perturbation. First, for the corresponding deterministic system, we introduce the conditions of the stability of the equilibrium points. Then, using Lyapunov function and Itô’s formula, we investigate the existence and uniqueness of the global positive solution of the stochastic chemostat model. Furthermore, we explore and obtain the criterions of the extinction and the permanence for the stochastic model. Finally, numerical simulations are carried
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45

Al-Basyouni, Khalil Salem Nemer, and Abdul Qadeer Khan. "Bifurcation Analysis of a Discrete-Time Chemostat Model." Mathematical Problems in Engineering 2023 (February 18, 2023): 1–15. http://dx.doi.org/10.1155/2023/7518261.

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In this article, a discretized two-dimensional chemostat model is investigated. By using the algebraic technique, it is proved that the discrete chemostat model has semitrivial equilibrium solution for all involved parametric values, but it has an interior equilibrium solution under certain parametric conditions. We have studied the local dynamics with topological classifications about the semitrivial and interior equilibrium solution on the basis of the theory of the discrete dynamical system. By bifurcation theory, we studied the existence of bifurcations for the understudied discrete chemos
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46

BERETTA, E., and Y. TAKEUCHI. "QUALITATIVE PROPERTIES OF CHEMOSTAT EQUATIONS WITH TIME DELAYS." Journal of Biological Systems 03, no. 03 (1995): 689–96. http://dx.doi.org/10.1142/s0218339095000630.

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47

Tai, Siew Leng, Pascale Daran-Lapujade, Michael C. Walsh, Jack T. Pronk, and Jean-Marc Daran. "Acclimation ofSaccharomyces cerevisiaeto Low Temperature: A Chemostat-based Transcriptome Analysis." Molecular Biology of the Cell 18, no. 12 (2007): 5100–5112. http://dx.doi.org/10.1091/mbc.e07-02-0131.

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Effects of suboptimal temperatures on transcriptional regulation in yeast have been extensively studied in batch cultures. To eliminate indirect effects of specific growth rates that are inherent to batch-cultivation studies, genome-wide transcriptional responses to low temperatures were analyzed in steady-state chemostats, grown at a fixed specific growth rate (0.03 h−1). Although in vivo metabolic fluxes were essentially the same in cultures grown at 12 and at 30°C, concentrations of the growth-limiting nutrients (glucose or ammonia) were higher at 12°C. This difference was reflected by tran
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48

So, Joseph Wai Hung. "Inertial manifold for a reaction diffusion equation model of competition in a chemostat." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 33, no. 1 (1991): 9–15. http://dx.doi.org/10.1017/s0334270000008584.

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49

Bishop, P. E., M. E. Hawkins, and R. R. Eady. "Nitrogen fixation in molybdenum-deficient continuous culture by a strain of Azotobacter vinelandii carrying a deletion of the structural genes for nitrogenase (nifHDK)." Biochemical Journal 238, no. 2 (1986): 437–42. http://dx.doi.org/10.1042/bj2380437.

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Steady-state chemostat cultures of Azotobacter vinelandii strain CA11, carrying a deletion of genes encoding the structural polypeptides of nitrogenase nifHDK, were established in a simple defined medium chemically purified to minimize contamination by Mo. The medium contained no utilizable N source. Growth was dependent on N2 (1.1 × 10(8) viable cells × ml-1 at D = 0.176 h-1), and was inhibited by Mo (20 nM). DNA hybridization showed the deletion to be stable during prolonged (55 days) growth in the chemostat (132 doublings). Since batch cultures, using unsupplemented ‘spent’ chemostat medium
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50

Reay, David S., David B. Nedwell, Julian Priddle, and J. Cynan Ellis-Evans. "Temperature Dependence of Inorganic Nitrogen Uptake: Reduced Affinity for Nitrate at Suboptimal Temperatures in Both Algae and Bacteria." Applied and Environmental Microbiology 65, no. 6 (1999): 2577–84. http://dx.doi.org/10.1128/aem.65.6.2577-2584.1999.

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ABSTRACT Nitrate utilization and ammonium utilization were studied by using three algal isolates, six bacterial isolates, and a range of temperatures in chemostat and batch cultures. We quantified affinities for both substrates by determining specific affinities (specific affinity = maximum growth rate/half-saturation constant) based on estimates of kinetic parameters obtained from chemostat experiments. At suboptimal temperatures, the residual concentrations of nitrate in batch cultures and the steady-state concentrations of nitrate in chemostat cultures both increased. The specific affinity
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