Abstract
Anaerobic digestion (AD) is a biological process, which, due to the multiple stages and microorganisms it involves, is complex to model. The feasibility of AD is highly dependent on the organic matter content, as well as physical and chemical factors that regulate the microbiological activity. Mathematical models are a constant challenge for the simulation and prediction of organic matter degradation and biogas production. This chapter is an overview of part of the great diversity of AD mathematical models from the stoichiometric and kinetic perspectives as well as microbiological and physicochemical points of view. The effect of waste composition and the changes in operational parameters on the AD modeling is analyzed. Stoichiometric, kinetic, and dynamic models are discussed. According to the review, it was confirmed that a wide number of researchers prefer the Buswell model, the first-order model, the modified Gompertz model, and the anaerobic digestion model (ADM) depending on available data and lab infrastructure. The literature related to AD modeling does not present a consensus regarding the use of statistical criteria, being a key factor to reflect the goodness of fit of the models. It was observed that there are still gaps in the co-digestion modeling due to the mixing effects on the kinetics of the anaerobic digestion. Current co-digestion models are derived from the experimental design to prove synergy or antagonism. Nevertheless, there is a need to predict the co-substrate synergy or antagonism with the kinetics, an aspect that is not solved at present using current models. To fill this scientific gap, an additive model is proposed.
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References
Abudi ZN, Hu Z, Abood AR (2020) Anaerobic co-digestion of mango leaves and pig manure: performance assessment and kinetic analysis. Biomass Convers Biorefin. https://doi.org/10.1007/s13399-020-00665-6
Aceves-Lara CA, Aguilar-Garnica E, Alcaraz-González V, González-Reynoso O, Steyer JP, Dominguez-Beltran JL, González-Álvarez V (2005) Kinetic parameters estimation in an anaerobic digestion process using successive quadratic programming. Water Sci Technol 52:419–426
Achinas S, Euverink GJW (2016) Theoretical analysis of biogas potential prediction from agricultural waste. Resour Effic Technol 2(3):143–147. https://doi.org/10.1016/j.reffit.2016.08.001
Achinas S, Euverink G (2019) Effect of combined inoculation on biogas production from hardly degradable material. Energies 12(2):217. https://doi.org/10.3390/en12020217
Adghim M, Abdallah M, Saad S, Shanableh A, Sartaj M (2020) Assessment of the biochemical methane potential of mono- and co-digested dairy farm wastes. Waste Manag Res 38(1):88–99. https://doi.org/10.1177/0734242X19871999
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19(6):716–723. https://doi.org/10.1109/tac.1974.1100705
Amodeo C, Hafner SD, Teixeira Franco R, Benbelkacem H, Moretti P, Bayard R, Buffière P (2020) How different are manometric, gravimetric, and automated volumetric BMP results? Water 12(6):1839. https://doi.org/10.3390/w12061839
Andriamanohiarisoamanana F, Saikawa A, Tarukawa K, Qi G, Pan Z, Yamashiro T et al (2017) Anaerobic co-digestion of dairy manure, meat and bone meal, and crude glycerol under mesophilic conditions: synergistic effect and kinetic studies. Energy Sustain Dev 40:11–18. https://doi.org/10.1016/j.esd.2017.05.008
Astals S, Batstone DJ, Mata-Alvarez J, Jensen PD (2014) Identification of synergistic impacts during anaerobic co-digestion of organic wastes. Bioresour Technol 169:421–427. https://doi.org/10.1016/j.biortech.2014.07.024
Astals S, Batstone DJ, Tait S, Jensen PD (2015) Development and validation of a rapid test for anaerobic inhibition and toxicity. Water Res 81:208–215. https://doi.org/10.1016/j.watres.2015.05.063
Bai J, Liu H, Yin B, Ma H, Chen X (2017) Modified ADM1 for modeling free ammonia inhibition in anaerobic acidogenic fermentation with high-solid sludge. J Environ Sci 52:58–65. https://doi.org/10.1016/j.jes.2016.03.004
Batstone DJ, Keller J, Newell RB, Newland M (2000) Modelling anaerobic degradation of complex wastewater. I: model development. Bioresour Technol 75:67–74
Batstone DJ, Keller J, Angelidaki I, Kalyuzhnyi SV, Pavlostathis SG, Rozzi A, Vavilin VA (2002) The IWA anaerobic digestion model no 1 (ADM1). Water Sci Technol 45(10):65–73
Batstone DJ, Keller J, Steyer JP (2006) A review of ADM1 extensions, applications, and analysis: 2002–2005. Water Sci Technol 54(4):1–10. https://doi.org/10.2166/wst.2006.520
Bedoić R, Špehar A, Puljko J, Čuček L, Ćosić B, Pukšec T, Duić N (2020) Opportunities and challenges: experimental and kinetic analysis of anaerobic co-digestion of food waste and rendering industry streams for biogas production. Renew Sust Energ Rev 130:109951. https://doi.org/10.1016/j.rser.2020.109951
Benabdallah El Hadj T, Astals S, Gali A, Mace S, Mata-Alvarez J (2009) Ammonia influence in anaerobic digestion of OFMSW. Water Sci Technol 59(6):1153–1158. https://doi.org/10.2166/wst.2009.100
Bohutskyi P, Phan D, Kopachevsky AM, Chow S, Bouwer EJ, Betenbaugh MJ (2018) Synergistic co-digestion of wastewater grown algae-bacteria polyculture biomass and cellulose to optimize carbon-to-nitrogen ratio and application of kinetic models to predict anaerobic digestion energy balance. Bioresour Technol 269:210–220. https://doi.org/10.1016/j.biortech.2018.08.085
Brulé M, Oechsner H, Jungbluth T (2014) Exponential model describing methane production kinetics in batch anaerobic digestion: a tool for evaluation of biochemical methane potential assays. Bioprocess Biosyst Eng 37(9):1759–1770. https://doi.org/10.1007/s00449-014-1150-4
Buendía IM, Fernández FJ, Villaseñor J, Rodríguez L (2009) Feasibility of anaerobic co-digestion as a treatment option of meat industry wastes. Bioresour Technol 100(6):1903–1909. https://doi.org/10.1016/j.biortech.2008.10.013
Buswell AM, Mueller HF (1952) Mechanism of methane fermentation. Ind Eng Chem 44(3):550–552. https://doi.org/10.1021/ie50507a033
Cai F, Yan H, Zhang R, Liu G, Chen C (2019) Prediction of methane production performances based on determination of organic components for different vegetable wastes. Int J Agric Biol Eng 12(3):154–159. https://doi.org/10.25165/j.ijabe.20191203.4705
Calusinska M, Goux X, Fossepre M, Muller EEL, Wilmes P, Delfosse P (2018) A year of monitoring 20 mesophilic full-scale bioreactors reveals the existence of stable but different core microbiomes in bio-waste and wastewater anaerobic digestion systems. Biotechnol Biofuels 11:196. https://doi.org/10.1186/s13068-018-1195-8
Chatterjee P, Ghangrekar MM, Rao S (2017) Biogas production from partially digested septic tank sludge and its kinetics. Waste Biomass Valorization 10(2):387–398. https://doi.org/10.1007/s12649-017-0065-0
Chen Y, Cheng JJ, Creamer KS (2008) Inhibition of anaerobic digestion process: a review. Bioresour Technol 99(10):4044–4064. https://doi.org/10.1016/j.biortech.2007.01.057
Contois DE (1959) Kinetics of bacterial growth: relationship between population density and specific growth rate of continuous cultures. J Gen Microbiol 21:40–50
Contreras LM, Schelle H, Sebrango CR, Pereda I (2012) Methane potential and biodegradability of rice straw, rice husk and rice residues from the drying process. Water Sci Technol 65(6):1142–1149. https://doi.org/10.2166/wst.2012.951
Da Silva C, Astals S, Peces M, Campos JL, Guerrero L (2018) Biochemical methane potential (BMP) tests: reducing test time by early parameter estimation. Waste Manag 71:19–24. https://doi.org/10.1016/j.wasman.2017.10.009
Das Ghatak M, Mahanta P (2017) Kinetic model development for biogas production from lignocellulosic biomass. In J Technol 4:673–680. https://doi.org/10.14716/ijtech.v8i4.4247
Dennehy C, Lawlor PG, Croize T, Jiang Y, Morrison L, Gardiner GE, Zhan X (2016) Synergism and effect of high initial volatile fatty acid concentrations during food waste and pig manure anaerobic co-digestion. Waste Manag 56:173–180. https://doi.org/10.1016/j.wasman.2016.06.032
Deublein D, Steinhauser A (2008) In: Deublein D, Steinhauser A (eds) Biogas from waste and renewable resources. Verlag GmbH: Wiley-VCH, Weinheim
Donoso-Bravo A, Mailier J, Martin C, Rodriguez J, Aceves-Lara CA, Vande Wouwer A (2011) Model selection, identification and validation in anaerobic digestion: a review. Water Res 45(17):5347–5364. https://doi.org/10.1016/j.watres.2011.08.059
Du X, Tao Y, Li H, Liu Y, Feng K (2019) Synergistic methane production from the anaerobic co-digestion of Spirulina platensis with food waste and sewage sludge at high solid concentrations. Renew Energy 142:55–61. https://doi.org/10.1016/j.renene.2019.04.062
Dumitrel GA, Cioabla AE, Ionel I, Varga LA (2017) Experimental and modelling approach of biogas production by anaerobic digestion of agricultural resources. Rev Chim 68(6):1294–1297
Echiegu EA (2015) Kinetic models for anaerobic fermentation processes-a review. Am J Biochem Biotechnol 11(3):132–148
Flores-Alsina X, Solon K, Kazadi Mbamba C, Tait S, Gernaey KV, Jeppsson U, Batstone DJ (2016) Modelling phosphorus (P), sulfur (S) and iron (Fe) interactions for dynamic simulations of anaerobic digestion processes. Water Res 95:370–382. https://doi.org/10.1016/j.watres.2016.03.012
Frigon J-C, Guiot SR (2010) Biomethane production from starch and lignocellulosic crops: a comparative review. Biofuels Bioprod Biorefin 4(4):447–458. https://doi.org/10.1002/bbb.229
Frunzo L, Fermoso FG, Luongo V, Mattei MR, Esposito G (2019) ADM1-based mechanistic model for the role of trace elements in anaerobic digestion processes. J Environ Manag 241:587–602. https://doi.org/10.1016/j.jenvman.2018.11.058
Gallipoli A, Braguglia CM, Gianico A, Montecchio D, Pagliaccia P (2020) Kitchen waste valorization through a mild-temperature pretreatment to enhance biogas production and fermentability: kinetics study in mesophilic and thermophilic regimen. J Environ Sci (China) 89:167–179. https://doi.org/10.1016/j.jes.2019.10.016
González-Suárez A, Pereda-Reyes I, Oliva-Merencio D, Suárez-Quiñones T, José da Silva A, Zaiat M (2018) Bioavailability and dosing strategies of mineral in anaerobic mono-digestion of maize straw. Eng Life Sci 18(8):562–569. https://doi.org/10.1002/elsc.201700018
Güngören Madenoğlu T, Jalilnejad Falizi N, Kabay N, Güneş A, Kumar R, Pek T, Yüksel M (2019) Kinetic analysis of methane production from anaerobic digestion of water lettuce (Pistia stratiotes L.) with waste sludge. J Chem Technol Biotechnol 94(6):1893–1903. https://doi.org/10.1002/jctb.5968
Hafner SD, Fruteau de Laclos H, Koch K, Holliger C (2020) Improving inter-laboratory reproducibility in measurement of biochemical methane potential (BMP). Water 12(6):1752. https://doi.org/10.3390/w12061752
Husain A (1998) Mathematical models of the kinetics of anaerobic digestion - a selected review. Biomass Bioenergy 14(5/6):561–571
Iqbal Syaichurrozi B, Sumardiono S (2014) Kinetic model of biogas yield production from vinasse at various initial pH: comparison between modified Gompertz model and first order kinetic model. Res J Appl Sci Eng Technol 7(13):2798–2805. https://doi.org/10.19026/rjaset.7.602
Jensen PD, Astals S, Lu Y, Devadas M, Batstone DJ (2014) Anaerobic codigestion of sewage sludge and glycerol, focusing on process kinetics, microbial dynamics and sludge dewaterability. Water Res 67:355–366. https://doi.org/10.1016/j.watres.2014.09.024
Jeong HS, Suh CW, Lim JL, Lee SH, Shin HS (2005) Analysis and application of ADM1 for anaerobic methane production. Bioprocess Biosyst Eng 27:81–89
Jijai S, Siripatana C (2017) Kinetic model of biogas production from co-digestion of Thai rice noodle wastewater (Khanomjeen) with chicken manure. Paper presented at the 2017 International Conference on Alternative Energy in Developing Countries and Emerging Economies, Bangkok, Thailand
Kafle GK, Chen L (2016) Comparison on batch anaerobic digestion of five different livestock manures and prediction of biochemical methane potential (BMP) using different statistical models. Waste Manag 48:492–502. https://doi.org/10.1016/j.wasman.2015.10.021
Koch K, Hafner SD, Weinrich S, Astals S (2019) Identification of critical problems in biochemical methane potential (BMP) tests from methane production curves. Front Environ Sci 7. https://doi.org/10.3389/fenvs.2019.00178
Kul S, Nuhoğlu A (2020) Removal kinetics of olive-mill wastewater in a batch-operated aerobic bioreactor. J Environ Eng 146(3):04019122. https://doi.org/10.1061/(asce)ee.1943-7870.0001654
Kythreotou N, Florides G, Tassou SA (2014) A review of simple to scientific models for anaerobic digestion. Renew Energy 71:701–714. https://doi.org/10.1016/j.renene.2014.05.055
Labatut RA, Angenent LT, Scott NR (2011) Biochemical methane potential and biodegradability of complex organic substrates. Bioresour Technol 102(3):2255–2264. https://doi.org/10.1016/j.biortech.2010.10.035
Lawrence AW, McCarty PL (1969) Kinetics of methane fermentation in anaerobic treatment. Water Pollut Control Fed 41(2):R1–R17
Lee J, Hong J, Jeong S, Chandran K, Park KY (2020) Interactions between substrate characteristics and microbial communities on biogas production yield and rate. Bioresour Technol 303:122934. https://doi.org/10.1016/j.biortech.2020.122934
Li L, He Q, Wei Y, He Q, Peng X (2014) Early warning indicators for monitoring the process failure of anaerobic digestion system of food waste. Bioresour Technol 171:491–494
Li Y, Jin Y, Li H, Borrion A, Yu Z, Li J (2018a) Kinetic studies on organic degradation and its impacts on improving methane production during anaerobic digestion of food waste. Appl Energy 213:136–147. https://doi.org/10.1016/j.apenergy.2018.01.033
Li P, Li W, Sun M, Xu X, Zhang B, Sun Y (2018b) Evaluation of biochemical methane potential and kinetics on the anaerobic digestion of vegetable crop residues. Energies 12(1):1–14. https://doi.org/10.3390/en12010026
Li Y, Zhang X, Xu H, Mu H, Hua D, Jin F, Meng G (2019) Acidogenic properties of carbohydrate-rich wasted potato and microbial community analysis: effect of pH. J Biosci Bioeng. https://doi.org/10.1016/j.jbiosc.2018.12.009
Li Q, Liu Y, Yang X, Zhang J, Lu B, Chen R (2020) Kinetic and thermodynamic effects of temperature on methanogenic degradation of acetate, propionate, butyrate and valerate. Chem Eng J 396:125366. https://doi.org/10.1016/j.cej.2020.125366
Lubken M, Gehring T, Wichern M (2010) Microbiological fermentation of lignocellulosic biomass: current state and prospects of mathematical modeling. Appl Microbiol Biotechnol 85(6):1643–1652. https://doi.org/10.1007/s00253-009-2365-1
Maamri S, Amrani M (2019) Evaluation and modelling of methane yield efficiency from co-digestion of waste activated sludge and olive mill wastewater. Appl Ecol Environ Res 17(2):5259–5274. https://doi.org/10.15666/aeer/1702_52595274
McCarty PL, Mosey FE (1991) Modelling of anaerobic digestion processes (a discussion of concepts). Water Sci Technol 24(8):17–33
McCarty PL, Smith DP (1986) Anaerobic wastewater treatment. Environ Sci Technol 20(12):1200–1206. https://doi.org/10.1021/es00154a002
Nakasaki K, Koyama M, Maekawa T, Fujita J (2019) Changes in the microbial community during the acclimation process of anaerobic digestion for treatment of synthetic lipid-rich wastewater. J Biotechnol 306:32–37. https://doi.org/10.1016/j.jbiotec.2019.09.003
Nash JE, Sutcliffe JV (1970) River flow forecasting through conceptual models part I — a discussion of principles. J Hydrol 10(3):282–290. https://doi.org/10.1016/0022-1694(70)90255-6
Nguyen DD, Jeon BH, Jeung JH, Rene ER, Banu JR, Ravindran B, Chang SW (2019) Thermophilic anaerobic digestion of model organic wastes: evaluation of biomethane production and multiple kinetic models analysis. Bioresour Technol 280:269–276. https://doi.org/10.1016/j.biortech.2019.02.033
Ning Z, Zhang H, Li W, Zhang R, Liu G, Chen C (2018) Anaerobic digestion of lipid-rich swine slaughterhouse waste: methane production performance, long-chain fatty acids profile and predominant microorganisms. Bioresour Technol 269:426–433. https://doi.org/10.1016/j.biortech.2018.08.001
Ohemeng-Ntiamoah J, Datta T (2018) Evaluating analytical methods for the characterization of lipids, proteins and carbohydrates in organic substrates for anaerobic co-digestion. Bioresour Technol 247:697–704. https://doi.org/10.1016/j.biortech.2017.09.154
Öktem YA (2019) Microbial growth kinetics of an anaerobic acidogenic bioreactor. In: Balkaya N, Guneysu S (eds) Recycling and reuse approaches for better sustainability. Environmental science and engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95888-0_19
Pagés Diaz J, Pereda Reyes I, Lundin M, Sarvari Horvath I (2011) Co-digestion of different waste mixtures from agro-industrial activities: kinetic evaluation and synergetic effects. Bioresour Technol 102(23):10834–10840. https://doi.org/10.1016/j.biortech.2011.09.031
Pagés-Díaz J, Pereda-Reyes I, Taherzadeh MJ, Sárvári-Horváth I, Lundin M (2014) Anaerobic co-digestion of solid slaughterhouse wastes with agro-residues: synergistic and antagonistic interactions determined in batch digestion assays. Chem Eng J 245:89–98. https://doi.org/10.1016/j.cej.2014.02.008
Pagliaccia P, Gallipoli A, Gianico A, Gironi F, Montecchio D, Pastore C, Braguglia CM (2019) Variability of food waste chemical composition: impact of thermal pre-treatment on lignocellulosic matrix and anaerobic biodegradability. J Environ Manag 236:100–107. https://doi.org/10.1016/j.jenvman.2019.01.084
Pavlostathis SG, Giraldo-Gomez E (1991) Kinetics of anaerobic treatment. Wat Sci Technol 24(8):35–59. https://doi.org/10.2166/wst.1991.0217
Pererva Y, Miler CD, Sims RC (2020a) Sulfur, phosphorus and metals in the stoichiometric estimation of biomethane and biohydrogen yields. PRO 8:714. https://doi.org/10.3390/pr8060714
Pererva Y, Miller CD, Sims RC (2020b) Existing empirical kinetic models in biochemical methane potential (BMP) testing, their selection and numerical solution. Water 12:1831. https://doi.org/10.3390/w12061831
Pishgar R (2011) Anaerobic biodegradation of phenol: comparative study of free and immobilized growth. Iranica J Energy Environ. https://doi.org/10.5829/idosi.ijee.2011.02.04.2361
Priya KS, Burman I, Tarafdar A, Sinha A (2018) Impact of ammonia nitrogen on COD removal efficiency in anaerobic hybrid membrane bioreactor treating synthetic leachate. Int J Environ Res 13(1):59–65. https://doi.org/10.1007/s41742-018-0153-4
Raposo F, Fernández-Cegrí V, De la Rubia MA, Borja R, Béline F, Cavinato C, de Wilde V (2011) Biochemical methane potential (BMP) of solid organic substrates: evaluation of anaerobic biodegradability using data from an international interlaboratory study. J Chem Technol Biotechnol 86(8):1088–1098. https://doi.org/10.1002/jctb.2622
Rasapoor M, Young B, Brar R, Sarmah A, Zhuang WQ, Baroutian S (2020) Recognizing the challenges of anaerobic digestion: critical steps toward improving biogas generation. Fuel 261:116497. https://doi.org/10.1016/j.fuel.2019.116497
Rodriguez-Mendez R, Le Bihan Y, Beline F, Lessard P (2017) Long chain fatty acids (LCFA) evolution for inhibition forecasting during anaerobic treatment of lipid-rich wastes: case of milk-fed veal slaughterhouse waste. Waste Manag 67:51–58. https://doi.org/10.1016/j.wasman.2017.05.028
Rosén C, Jeppsson U (2006) Aspects on ADM1 implementation within the BSM2 framework. (PhD.). Lund University, Lund, Suecia. (LUTEDX/(TEIE-7224)/1-35/(2006))
Satpathy P, Steinigeweg S, Cypionka H, Engelen B (2015) Different substrates and starter inocula govern microbial community structures in biogas reactors. Environ Technol 37(11):1441–1450. https://doi.org/10.1080/09593330.2015.1118559
Silva MI, De Bortoli AL (2020) Sensitivity analysis for verification of an anaerobic digestion model. Int J Appl Comput Math 6(2). https://doi.org/10.1007/s40819-020-0791-z
Spiess AN, Neumeyer N (2010) An evaluation of R2 as an inadequate measure for nonlinear models in pharmacological and biochemical research: a Monte Carlo approach. BMC Pharmacol 10(6):11. https://doi.org/10.1186/1471-2210-10-6
Symons GE, Buswell AM (1933) The methane fermentation of carbohydrates. J Am Chem Soc 55(5):2028–2036
Toerien DF, Hattingh WHJ (1969) Anaerobic digestion I. The microbiology of anaerobic digestion. Water Res 3(6):385–416. https://doi.org/10.1016/0043-1354(69)90002-5
Uhlenhut F, Schluter K, Gallert C (2018) Wet biowaste digestion: ADM1 model improvement by implementation of known genera and activity of propionate oxidizing bacteria. Water Res 129:384–393. https://doi.org/10.1016/j.watres.2017.11.012
Wang H, Zhang S, Bi X, Clift R (2020) Greenhouse gas emission reduction potential and cost of bioenergy in British Columbia, Canada. Energy Policy 138:111285. https://doi.org/10.1016/j.enpol.2020.111285
Wichern M, Lubken M, Horn H, Schlattmann M, Gronauer A (2008) Investigations and mathematical simulation on decentralized anaerobic treatment of agricultural substrate from livestock farming. Water Sci Technol 58(1):67–72. https://doi.org/10.2166/wst.2008.332
Xu Q, Liao Y, Cho E, Ko JH (2020) Effects of biochar addition on the anaerobic digestion of carbohydrate-rich, protein-rich, and lipid-rich substrates. J Air Waste Manag Assoc 70(4):455–467. https://doi.org/10.1080/10962247.2020.1733133
Zhao X, Liu J, Liu J, Yang F, Zhu W, Yuan X et al (2017) Effect of ensiling and silage additives on biogas production and microbial community dynamics during anaerobic digestion of switchgrass. Bioresour Technol 241:349–359. https://doi.org/10.1016/j.biortech.2017.03.183
Zhao X, Li L, Wu D, Xiao T, Ma Y, Peng X (2018) Modified anaerobic digestion model no. 1 for modeling methane production from food waste in batch and semi-continuous anaerobic digestions. Bioresour Technol. https://doi.org/10.1016/j.biortech.2018.09.091
Zhen G, Lu X, Kobayashi T, Kumar G, Xu K (2016) Anaerobic co-digestion on improving methane production from mixed microalgae (Scenedesmus sp., Chlorella sp.) and food waste: kinetic modeling and synergistic impact evaluation. Chem Eng J 299:332–341. https://doi.org/10.1016/j.cej.2016.04.118
Zhu K, Zhang L, Mu L, Ma J, Li C, Li A (2019) Comprehensive investigation of soybean oil-derived LCFAs on anaerobic digestion of organic waste: inhibitory effect and transformation. Biochem Eng J 151:107314. https://doi.org/10.1016/j.bej.2019.107314
Zitomer DH, Adhikari P, Heisel C, Dineen D (2008) Municipal anaerobic digesters for codigestion, energy recovery, and greenhouse gas reductions. Water Environ Res 80(3):229–237. https://doi.org/10.2175/106143007x221201
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Baquerizo-Crespo, R.J., Astals, S., Pérez-Ones, O., Pereda-Reyes, I. (2021). Mathematical Modeling Challenges Associated with Waste Anaerobic Biodegradability. In: Maddela, N.R., García Cruzatty, L.C., Chakraborty, S. (eds) Advances in the Domain of Environmental Biotechnology. Environmental and Microbial Biotechnology. Springer, Singapore. https://doi.org/10.1007/978-981-15-8999-7_14
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