Substrate Inhibition Kinetics Models for Fitting the Growth Rate of Phenol by an Acclimatized Mixed Bacterial Consortia from an Anaerobic Batch Reactor
DOI:
https://doi.org/10.54987/bessm.v7i1.902Keywords:
Substrate Inhibition Kinetics, Phenol, Mixed Bacterial Consortia, Anaerobic Batch Reactor, TeissierAbstract
Particularly hazardous among the numerous synthetic chemicals made by mankind is phenol. A considerable number of the over 80,000 chemicals manufactured in the United States for industrial purposes are phenol and phenolic compounds, which enter the environment without undergoing sufficient safety evaluation. The potential utilization of phenol as a carbon source by several species of bacteria renders bioremediation of this hazardous substance an auspicious prospect. Our research revealed that the growth rate of acclimatized mixed bacterial consortia from an anaerobic batch reactor was considerably inhibited when exposed to extremely high quantities of phenol. The growth parameter-specific growth rate was determined by employing the modified Gompertz primary growth model. In the present investigation, we extend our previous work by employing multiple substrate inhibition kinetic models—including Monod, Teissier, Haldane, Yano and Koga, Aiba, Han and Levenspiel, Luong, Moser, Webb, and Hinshelwood—to further model the effect of substrate or phenol on the growth rate of the bacterium. All cases exhibit significant fits, with the exception of the Luong and Hinshelwood models. The Haldane model exhibited a higher degree of correspondence with the growth rate data obtained at various concentrations of phenol, as determined by the statistical tests. The designated values of the Haldane constants were maximal reduction rate, half saturation constant for maximal reduction and half inhibition constant which are symbolized by max, Ks and Ki were 0.157 hr-1 (95% confidence interval 0.072 to 0.231), 32.042 mg/L (95% C.I. 14.603 to 49.480) and 234.095 mg/L (95% C.I. 181.83 to 286.17), respectively. The output of curve fitting interpolation should not be considered the true value, and the user should be duly informed of this as the true max should be the point at which the slope's gradient becomes zero; in this instance, the value was 0.095 h-1 at 50.1 mg/L phenol.
References
Özkara A, Akyil D, Konuk M. Pesticides, Environmental Pollution, and Health. In: Larramendy M, Soloneski S, editors. Environmental Health Risk - Hazardous Factors to Living Species [Internet]. InTech; 2016 [cited 2020 Jul 17]. Available from: http://www.intechopen.com/books/environmental-health-risk-hazardous-factors-to-living-species/pesticides-environmental-pollution-and-health
VanDoren PM. The Effects of Exposure to “Synthetic” Chemicals on Human Health: A Review. Risk Anal [Internet]. 1996 Jun [cited 2020 Jul 17];16(3):367–76. Available from: http://doi.wiley.com/10.1111/j.1539-6924.1996.tb01471.x
Ayeni O. A preliminary assessment of phenol contamination of Isebo River in south-western Nigeria. Greener J Phys Sci. 2014;4(2):30–7.
Bruce RM, Santodonato J, Neal MW. Summary Review of the Health Effects Associated With Phenol. Toxicol Ind Health. 1987 Oct 1;3(4):535–68.
Strikwold M, Spenkelink B, Woutersen RA, Rietjens IMCM, Punt A. Combining in vitro embryotoxicity data with physiologically based kinetic (PBK) modelling to define in vivo dose–response curves for developmental toxicity of phenol in rat and human. Arch Toxicol. 2013 Sep 1;87(9):1709–23.
Kottuparambil S, Kim YJ, Choi H, Kim MS, Park A, Park J, et al. A rapid phenol toxicity test based on photosynthesis and movement of the freshwater flagellate, Euglena agilis Carter. Aquat Toxicol. 2014 Oct 1;155:9–14.
Mohanta VL, Mishra BK. Occurrence and fate of phenolic compounds in groundwater and their associated risks. In: Legacy, Pathogenic and Emerging Contaminants in the Environment. CRC Press; 2021.
Kim JS, Chin P. Acute and chronic toxicity of phenol to mysid, Archaeomysis kokuboi. Korean J Fish Aquat Sci. 1995;28(1):87–97.
Abd Gami A, Shukor A, Yunus M, Abdul Khalil K, Dahalan FA, Khalid A, et al. Phenol and phenolic compounds toxicity. J Environ Microbiol Toxicol. 2014;2(1):11–23.
Gami AA, Shukor MY, Khalil KA, Dahalan FA, Khalid A, Ahmad SA. Phenol and its toxicity. J Environ Microbiol Toxicol. 2014;2(1):11–23.
Dhatwalia VK, Nanda M. Biodegradation of phenol: Mechanisms and applications. Toxicity and Waste Management Using Bioremediation. 2015. 198–214 p.
Duan W, Meng F, Cui H, Lin Y, Wang G, Wu J. Ecotoxicity of phenol and cresols to aquatic organisms: A review. Ecotoxicol Environ Saf. 2018;157:441–56.
US EPA R 05. Human Health Noncarcinogen Fact Sheet for Phenol: (Human Health Noncarcinogen - fish ingestion only), Wisconsin Department of Natural Resources [Internet]. 2015 [cited 2023 Jan 30]. Available from: https://www.epa.gov/gliclearinghouse/human-health-noncarcinogen-fact-sheet-phenol-human-health-noncarcinogen-fish-0
Kujur RRA, Das SK. Pseudomonas phenolilytica sp. nov., a novel phenol-degrading bacterium. Arch Microbiol. 2022 May 14;204(6):320.
Rusnam, Gusmanizar N, Rahman MF, Yasid NA. Characterization of a Molybdenum-reducing and Phenol-degrading Pseudomonas sp. strain Neni-4 from soils in West Sumatera, Indonesia. Bull Environ Sci Sustain Manag E-ISSN 2716-5353. 2022 Jul 31;6(1):1–8.
Hanafee N, Salleh NAM, Ahmad SA, Saada WZ, Yusof MT. Characterization of phenol-degrading fungi isolated from industrial waste water in Malaysia. Asia-Pac J Mol Biol Biotechnol. 2019;27(2):35–43.
Aisami A, Yasid NA, Johari WLW, Shukor MY. Estimation of the Q10 value; the temperature coefficient for the growth of Pseudomonas sp. aq5-04 on phenol. Bioremediation Sci Technol Res. 2017 Jul 31;5(1):24–6.
Szilveszter S, Fikó DR, Máthé I, Felföldi T, Ráduly B. Kinetic characterization of a new phenol degrading Acinetobacter towneri strain isolated from landfill leachate treating bioreactor. World J Microbiol Biotechnol. 2023 Jan 17;39(3):79.
Mousa A. Isolation and Characterization of Phenol degrading Bacteria from Wastewater. Int J Biol Phys Chem Stud. 2023 Sep 10;5:17–24.
Bandi SS, Mallisetty R, Veluru S, Hamzah HT, Poiba VR, Srikanth R. Isolation, identification and optimization of potential phenol degrading bacterial strain P7 using Gen III microlog. AIP Conf Proc. 2023 Sep 13;2764(1):020007.
Sandhyarani R, Mishra S. Isolation and characterization of phenol degrading organism, optimization using doehlert design. Desalination Water Treat. 2019;148:351–62.
Kiviharju K, Salonen K, Leisola M, Eerikäinen T. Modeling and simulation of Streptomyces peucetius var. caesius N47 cultivation and ε-rhodomycinone production with kinetic equations and neural networks. J Biotechnol. 2006;126(3):365–73.
Shokrollahzadeh S, Bonakdarpour B, Vahabzadeh F, Sanati M. Growth kinetics and Pho84 phosphate transporter activity of Saccharomyces cerevisiae under phosphate-limited conditions. J Ind Microbiol Biotechnol. 2007;34(1):17–25.
Arif NM, Ahmad SA, Syed MA, Shukor MY. Isolation and characterization of a phenol-degrading Rhodococcus sp. strain AQ5NOL 2 KCTC 11961BP. J Basic Microbiol. 2013;53(1):9–19.
Hamitouche AE, Bendjama Z, Amrane A, Kaouah F, Hamane D. Relevance of the Luong model to describe the biodegradation of phenol by mixed culture in a batch reactor. Ann Microbiol. 2012;62(2):581–6.
Nickzad A, Mogharei A, Monazzami A, Jamshidian H, Vahabzadeh F. Biodegradation of phenol by Ralstonia eutropha in a Kissiris-immobilized cell bioreactor. Water Environ Res. 2012;84(8):626–34.
Saravanan P, Pakshirajan K, Saha P. Batch growth kinetics of an indigenous mixed microbial culture utilizing m-cresol as the sole carbon source. J Hazard Mater. 2009;162(1):476–81.
Firozjaee T, Najafpour G, Asgari A, Bakhshi Z, Pishgar R, Mousavi N. Phenol Biodegradation Kinetics in an Anaerobic Batch Reactor. 2012.
Rohatgi A. WebPlotDigitizer. http://arohatgi.info/WebPlotDigitizer/app/ Accessed June 2 2014.; 2015.
Halmi MIE, Shukor MS, Johari WLW, Shukor MY. Modeling the growth curves of Acinetobacter sp. strain DRY12 grown on diesel. J Environ Bioremediation Toxicol. 2014;2(1):33–7.
Khare KS, Phelan Jr FR. Quantitative comparison of atomistic simulations with experiment for a cross-linked epoxy: A specific volume–cooling rate analysis. Macromolecules. 2018;51(2):564–75.
Monod J. The Growth of Bacterial Cultures. Annu Rev Microbiol. 1949;3(1):371–94.
Boon B, Laudelout H. Kinetics of nitrite oxidation by Nitrobacter winogradskyi. Biochem J. 1962;85:440–7.
Teissier G. Growth of bacterial populations and the available substrate concentration. Rev Sci Instrum. 1942;3208:209–14.
Aiba S, Shoda M, Nagatani M. Kinetics of product inhibition in alcohol fermentation. Biotechnol Bioeng. 1968 Nov 1;10(6):845–64.
Yano T, Koga S. Dynamic behavior of the chemostat subject to substrate inhibition. Biotechnol Bioeng. 1969 Mar 1;11(2):139–53.
Han K, Levenspiel O. Extended Monod kinetics for substrate, product, and cell inhibition. Biotechnol Bioeng. 1988;32(4):430–7.
Luong JHT. Generalization of monod kinetics for analysis of growth data with substrate inhibition. Biotechnol Bioeng. 1987;29(2):242–8.
Moser A. Kinetics of batch fermentations. In: Rehm HJ, Reed G, editors. Biotechnology. VCH Verlagsgesellschaft mbH, Weinheim; 1985. p. 243–83.
Webb JLeyden. Enzyme and metabolic inhibitors [Internet]. New York: Academic Press; 1963. 984 p. Available from: https://www.biodiversitylibrary.org/bibliography/7320
Hinshelwood CN. The chemical kinetics of the bacterial cell. Clarendon Press, Gloucestershire, UK; 1946.
Wayman M, Tseng MC. Inhibition‐threshold substrate concentrations. Biotechnol Bioeng. 1976;18(3):383–7.
Akaike H. Making statistical thinking more productive. Ann Inst Stat Math. 2010;62(1):3–9.
Kass RE, Raftery AE. Bayes Factors. J Am Stat Assoc. 1995 Jun 1;90(430):773–95.
Burnham KP, Anderson DR. Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach. Springer Science & Business Media; 2002. 528 p.
Ross T, McMeekin TA. Predictive microbiology. Int J Food Microbiol. 1994;23(3–4):241–64.
Zhou K, George SM, Métris A, Li PL, Baranyi J. Lag phase of Salmonella enterica under osmotic stress conditions. Appl Environ Microbiol. 2011;77(5):1758–62.
Zhao J, Gao J, Chen F, Ren F, Dai R, Liu Y, et al. Modeling and predicting the effect of temperature on the growth of Proteus mirabilis in chicken. J Microbiol Methods. 2014;99(1):38–43.
Velugoti PR, Bohra LK, Juneja VK, Huang L, Wesseling AL, Subbiah J, et al. Dynamic model for predicting growth of Salmonella spp. in ground sterile pork. Food Microbiol. 2011;28(4):796–803.
McElroy DM, Jaykus LA, Foegeding PM. Validation and analysis of modeled predictions of growth of Bacillus cereus spores in boiled rice. J Food Prot. 2000;63(2):268–72.
Kowalik J, Lobacz A, Tarczynska AS, Ziajka S. Graphie validation of growth models for Listeria monocytogenes in milk during storage. Milchwissenschaft. 2012;67(1):38–42.
Jung SH, Park SJ, Chun HH, Song KB. Effects of combined treatment of aqueous chlorine dioxide and fumaric acid on the microbial growth in fresh-cut paprika (capsicum annuum L.). J Appl Biol Chem. 2014;57(1):83–7.
Huang L, Hwang CA, Phillips J. Evaluating the Effect of Temperature on Microbial Growth Rate-The Ratkowsky and a Bělehrádek-Type Models. J Food Sci. 2011;76(8):M547–57.
Saravanan P, Pakshirajan K, Saha P. Growth kinetics of an indigenous mixed microbial consortium during phenol degradation in a batch reactor. Bioresour Technol. 2008;99(1):205–9.
Kotturi G, Robinson CW, Inniss WE. Phenol degradation by a psychrotrophic strain of Pseudomonas putida. Appl Microbiol Biotechnol. 1991;34(4):539–43.
Bai J, Wen JP, Li HM, Jiang Y. Kinetic modeling of growth and biodegradation of phenol and m-cresol using Alcaligenes faecalis. Process Biochem. 2007;42(4):510–7.
Agarry SE, Audu TOK, Solomon BO. Substrate inhibition kinetics of phenol degradation by Pseudomonas fluorescence from steady state and wash-out data. Int J Environ Sci Technol. 2009;6(3):443–50.
Long TR, Zhang Z, Zhuan RX. Biodegradation of phenol by a novel isolated bacterium Pseudomonas sp. CN-6. Tumu Jianzhu Yu Huanjing GongchengJournal Civ Archit Environ Eng. 2010;32(5):82–7.
Liu J, Wang Q, Yan J, Qin X, Li L, Xu W, et al. Isolation and characterization of a novel phenol degrading bacterial strain WUST-C1. Ind Eng Chem Res. 2013;52(1):258–65.
Basak SP, Sarkar P, Pal P. Isolation and characterization of phenol utilizing bacteria from industrial effluent-contaminated soil and kinetic evaluation of their biodegradation potential. J Environ Sci Health - Part ToxicHazardous Subst Environ Eng. 2014;49(1):67–77.
Ding C, Wang Z, Cai W, Zhou Q, Zhou J. Biodegradation of phenol with Candida tropicalis isolated from aerobic granules. Fresenius Environ Bull. 2014;23(3 A):887–95.
Mohanty SS, Jena HM. Biodegradation of phenol by free and immobilized cells of a novel Pseudomonas sp. nbm11. Braz J Chem Eng. 2017 Mar;34:75–84.
Agarry SE, Solomon BO. Kinetics of batch microbial degradation of phenols by indigenous Pseudomonas fluorescence. Int J Environ Sci Technol. 2008;5(2):223–32.
Agarry SE, Solomon BO, Layokun SK. Substrate inhibition kinetics of phenol degradation by binary mixed culture of Pseudomonas aeruginosa and Pseudomonas fluorescence from steady state and wash- out data. Afr J Biotechnol. 2008;7(21):3927–33.
Begum SS, Radha KV. Investigating the performance of inverse fluidized bed biofilm reactor for phenol biodegradation using Pseudomonas fluorescence. In: Proceedings of the International Conference on Green Technology and Environmental Conservation, GTEC-2011. 2011. p. 130–6.
Halmi MIE, Shukor MS, Johari WLW, Shukor MY. Mathematical modelling of the degradation kinetics of Bacillus cereus grown on phenol. J Environ Bioremediation Toxicol. 2014;2(1):1–5.
Monod J. The Growth of Bacterial Cultures. Annu Rev Microbiol. 1949;3(1):371–94.
Muloiwa M, Nyende-Byakika S, Dinka M. Comparison of unstructured kinetic bacterial growth models. South Afr J Chem Eng. 2020 Jul 1;33:141–50.
Kong JD. Modeling Microbial Dynamics: Effects on Environmental and Human Health [Internet] [PhD Thesis]. [Canada]: University of Alberta; 2017 [cited 2023 Nov 11]. Available from: https://era.library.ualberta.ca/items/0191844e-958e-49fb-bc42-feec802a29ea/view/b06920dd-a80e-427e-b7b9-4aa9433c579e/Kong_Jude_D_201708_PhD.pdf
Mulchandani A, Luong JHT, Groom C. Substrate inhibition kinetics for microbial growth and synthesis of poly-β-hydroxybutyric acid by Alcaligenes eutrophus ATCC 17697. Appl Microbiol Biotechnol. 1989;30(1):11–7.
Teissier G. Growth of bacterial populations and the available substrate concentration. Rev Sci Instrum. 1942;3208:209–14.
Han K, Levenspiel O. Extended Monod kinetics for substrate, product, and cell inhibition. Biotechnol Bioeng. 1988;32(4):430–7.
Yakasai HM, Babandi A, Uba G. Inhibition Kinetics Study of Molybdenum Reduction by Pantoea sp. strain HMY-P4. J Environ Microbiol Toxicol. 2020 Dec 31;8(2):24–9.
Yakasai HM, Babandi A, Manogaran M. Modelling the Kinetics Molybdenum Reduction Rate by Morganella sp. J Environ Microbiol Toxicol. 2020 Dec 31;8(2):18–23.
Uba G, Abubakar A, Ibrahim S. Optimization of Process Conditions for Effective Degradation of Azo Blue Dye by Streptomyces sp. DJP15: A Secondary Modelling Approac. Bull Environ Sci Sustain Manag. 2021 Dec 31;5(2):28–32.
Othman AR, Rahim MBHA. Modelling the Growth Inhibition Kinetics of Rhodotorula sp. strain MBH23 (KCTC 11960BP) on Acrylamide. Bioremediation Sci Technol Res. 2019 Dec 28;7(2):20–5.
Habibi A, Vahabzadeh F. Degradation of formaldehyde at high concentrations by phenol-adapted Ralstonia eutropha closely related to pink-pigmented facultative methylotrophs. J Environ Sci Health - Part ToxicHazardous Subst Environ Eng. 2013;48(3):279–92.
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