A novel kinetic model for a cocoa waste fermentation to ethanol reaction and its experimental validation

References

• Bineli, A.; Thibault, J.; Jardini, A.; Maciel Filho, R. Ethanol Steam Reforming for Hydrogen Production in Microchannel Reactors: Experimental Design and Optimization. Int. J. Chem. Reactor Eng. 2013, 11, 9–17. DOI: 10.1515/ijcre-2012-0002.
   Web of Science ®Google Scholar
• Mushimiyimana, I.; Tallapragada, P. Bioethanol Production from Agro Wastes by Acid Hydrolysis and Fermentation Process, 2016.
   Google Scholar
• Shen, Y.; Guo, J-s.; Chen, Y.-P.; Zhang, H.-D.; Zheng, X.-X.; Jiang, Y.; Zhang, X.-M.; Li, X.-H. Effects of Glucose Releasing Rate on Cell Growth and Performance of Simultaneous Saccharification and Fermentation (SSF) in Sweet Potato Medium for Fuel Ethanol Production Using Saccharomyces cerevisiae. Int. J. Chem. Reactor Eng. 2012, 10, 1–17. DOI: 10.1515/1542-6580.2976.
   Web of Science ®Google Scholar
• Lyubenova, V.; Ignatova, M.; Roeva, O.; Junne, S.; Neubauer, P. Adaptive Monitoring of Biotechnological Processes Kinetics. Processes 2020, 8, 1307. DOI: 10.3390/pr8101307.
   Web of Science ®Google Scholar
• Lyubenova, V.; Kostov, G.; Denkova-Kostova, R. Model-Based Monitoring of Biotechnological Processes—A Review. Processes 2021, 9, 908. DOI: 10.3390/pr9060908.
   Web of Science ®Google Scholar
• Torres, N. V.; Santos, G. The (Mathematical) Modeling Process in Biosciences. Front. Genet. 2015, 6, 354. DOI: 10.3389/fgene.2015.00354.
   PubMed Web of Science ®Google Scholar
• Tiwari, A.; Keshav, A.; Bhowmick, S. Optimization of Esterification of Propionic Acid with Ethanol Catalyzed by Solid Acid Catalysts Using Response Surface Methodology (RSM): A Kinetic Approach. Int. J. Chem. Reactor Eng. 2017, 15,1–16. DOI: 10.1515/ijcre-2016-0101.
   Web of Science ®Google Scholar
• Ortiz, K.; Álvarez, R. Efecto Del Vertimiento de Subproductos Del Beneficio de Cacao (Theobroma cacao L.) Sobre Algunas Propiedades Químicas y Biológicas en Los Suelos de Una Finca Cacaotera, Municipio de Yaguará (Huila, Colombia). BCCM. 2015, 19, 65–84. DOI: 10.17151/bccm.2015.19.1.5.
   Google Scholar
• Gonzalez, C.; Jaimes, M. Desarrollo Experimental Del Proceso Para la Obtención de Jugo Derivado Del Mucilago de Cacao. Bucaramanga: Universidad de industrial de Santander, 2005, p. 13.
   Google Scholar
• Puerari, C.; Magalhães, K. T.; Schwan, R. F. New Cocoa Pulp-Based Kefir Beverages: Microbiological, Chemical Composition and Sensory Analysis. Food Res. Int. 2012, 48, 634–640. DOI: 10.1016/j.foodres.2012.06.005.
   Web of Science ®Google Scholar
• Cortes, T. R.; Cuervo-Parra, J. A.; Robles-Olvera, V. J.; Cortes, E. R.; Pérez, P. A. L. Experimental and Kinetic Production of Ethanol Using Mucilage Juice Residues from Cocoa Processing. Int. J. Chem. Reactor Eng. 2018, 16,1–16. DOI: 10.1515/ijcre-2017-0262.
   Web of Science ®Google Scholar
• Jayathilakan, K.; Sultana, K.; Radhakrishna, K.; Bawa, A. S. Utilization of Byproducts and Waste Materials from Meat, Poultry and Fish Processing Industries: A Review. J. Food Sci. Technol. 2012, 49, 278–293. DOI: 10.1007/s13197-011-0290-7.
   PubMed Web of Science ®Google Scholar
• Bonatto, C.; Venturin, B.; Mayer, D. A.; Bazoti, S. F.; de Oliveira, D.; Alves, S. L. Jr.; Treichel, H. Experimental Data and Modelling of 2G Ethanol Production by Wickerhamomyces sp. UFFS-CE-3.1. 2. Renew. Energy 2020, 145, 2445–2450. DOI: 10.1016/j.renene.2019.08.010.
   Web of Science ®Google Scholar
• Kumar, A.; Singh, L. K.; Ghosh, S. Bioconversion of Lignocellulosic Fraction of Water-Hyacinth (Eichhornia Crassipes) Hemicellulose Acid Hydrolysate to Ethanol by Pichia stipitis. Bioresour. Technol. 2009, 100, 3293–3297. DOI: 10.1016/j.biortech.2009.02.023.
   PubMed Web of Science ®Google Scholar
• Saltelli, A.; Tarantola, S.; Campolongo, F. Sensitivity Analysis as an Ingredient of Modeling. Stat. Sci. 2000, 15, 377–395.
   Web of Science ®Google Scholar
• Castaño, hi.; Gomez, ja. 1995, Estudio cinético y simulación de una fermentación alcohó1ica utilizando como sustrato miel, tesis de pregrado Universidad Nacional de Colombia, sede medellin.
   Google Scholar
• Link, H.; Christodoulou, D.; Sauer, U. Advancing Metabolic Models with Kinetic Information. Curr. Opin. Biotechnol. 2014, 29, 8–14. DOI: 10.1016/j.copbio.2014.01.015.
   PubMed Web of Science ®Google Scholar
• Yatmaz, E.; Germec, M.; Erkan, S. B.; Turhan, I. Modeling of Ethanol Fermentation from Carob Extract–Based Medium by Using Saccharomyces cerevisiae in the Immobilized-Cell Stirred Tank Bioreactor. Biomass Conv. Bioref. 2020, 10, 1–15. DOI: 10.1007/s13399-020-01154-6.
   Google Scholar
• Sunarno, J. N.; Prasertsan, P.; Duangsuwan, W.; Kongjan, P.; Cheirsilp, B. Mathematical Modeling of Ethanol Production from Glycerol by Enterobacter Aerogenes Concerning the Influence of Impurities, Substrate, and Product Concentration. Biochem. Eng. J. 2020, 155, 107471. DOI: 10.1016/j.bej.2019.107471.
   Web of Science ®Google Scholar
• Leksawasdi, N.; Joachimsthal, E. L.; Rogers, P. L. Mathematical Modelling of Ethanol Production from Glucose/Xylose Mixtures by Recombinant Zymomonas mobilis. Biotechnol. Lett. 2001, 23, 1087–1093. DOI: 10.1023/A:1010599530577.
   Web of Science ®Google Scholar
• Benítez-Olivares, G.; Valdés-Parada, F. J.; Saucedo-Castañeda, J. G. Derivation of an Upscaled Model for Mass Transfer and Reaction for Non-Food Starch Conversion to Bioethanol. Int. J. Chem. Reactor Eng. 2016, 14, 1115–1148. DOI: 10.1515/ijcre-2016-0004.
   Web of Science ®Google Scholar
• Mendoza-Chávez, E. A.; Rodríguez-Olalde, N. E.; Maya-Yescas, R.; Campos-García, J.; Saucedo-Luna, J.; Castro-Montoya, A. J. Thermodynamic Analysis of Ethanol Synthesis from Glycerol by Two-Step Reactor Sequence. Int. J. Chem. Reactor Eng. 2016, 14, 1169–1176. DOI: 10.1515/ijcre-2015-0168.
   Web of Science ®Google Scholar
• Watt, S.; Sidhu, H. S.; Nelson, M. I.; Ray, A. K. Analysis of a Model for Ethanol Production through Continuous Fermentation: Ethanol Productivity. Int. J. Chem. Reactor Eng. 2010, 8(1), 1–17. DOI: 10.2202/1542-6580.1891.
   Google Scholar
• Kostov, G.; Pircheva, D.; Naydenova, V.; Iliev, V.; Lubenova, V.; Ignatova, M. Kinetics Investigation of Bio-Ethanol Production with Free and Immobilized Cells. Compt. Rend. Acad. Bulg. Sci. 2013, 66, 1463–1472.
   Web of Science ®Google Scholar
• López-Pérez, P. A.; Puebla, H.; Sánchez, H. V.; Aguilar-López, R. Comparison Tools for Parametric Identification of Kinetic Model for Ethanol Production Using Evolutionary Optimization Approach. Int. J. Chem. Reactor Eng. 2016, 14, 1201–1209. DOI: 10.1515/ijcre-2016-0045.
   Web of Science ®Google Scholar
• Maria, G.; Renea, L. Tryptophan Production Maximization in a Fed-Batch Bioreactor with Modified E. coli Cells, by Optimizing Its Operating Policy Based on an Extended Structured Cell Kinetic Model. Bioengineering 2021, 8, 210. DOI: 10.3390/bioengineering8120210.
   PubMedGoogle Scholar
• Maria, G.; Luta, I. Structured Cell Simulator Coupled with a Fluidized Bed Bioreactor Model to Predict the Adaptive Mercury Uptake by E. coli Cells. Comput. Chem. Eng. 2013, 58, 98–115. DOI: 10.1016/j.compchemeng.2013.06.004.
   Web of Science ®Google Scholar
• Roubos, J. A. Bioprocess Modeling and Optimization: Fed-Batch Clavulanic Acid Production by Streptomyces clavuligerus, 2002.
   Google Scholar
• Zak, D. E.; Vadigepalli, R.; Gonye, G. E.; Doyle, F. J.; Schwaber, J. S.; Ogunnaike, B. A. Unconventional Systems Analysis Problems in Molecular Biology: A Case Study in Gene Regulatory Network Modeling. Comput. Chem. Eng. 2005, 29, 547–563. DOI: 10.1016/j.compchemeng.2004.08.016.
   Web of Science ®Google Scholar
• Visser, D.; Schmid, J. W.; Mauch, K.; Reuss, M.; Heijnen, J. J. Optimal Re-Design of Primary Metabolism in Escherichia coli Using Linlog Kinetics. Metab. Eng. 2004, 6, 378–390. DOI: 10.1016/j.ymben.2004.07.001.
   PubMed Web of Science ®Google Scholar
• Roini, C. Characterization of Cocoa Pulp (Theobroma cacao L) from South Halmahera as an Alternative Feedstock for Bioethanol Production. IOP Conf. Ser. 2019, 276, 012038. DOI: 10.1088/1755-1315/276/1/012038.
   Google Scholar
• Kurzatkowski, W.; Törrönen, A.; Filipek, J.; Mach, R. L.; Herzog, P.; Sowka, S.; Kubicek, C. P. Glucose-Induced Secretion of Trichoderma reesei Xylanases. Appl. Environ. Microbiol. 1996, 62, 2859–2865. DOI: 10.1128/aem.62.8.2859-2865.1996.
   PubMed Web of Science ®Google Scholar
• Martin, K. J.; Rygiewicz, P. T. Fungal-Specific PCR Primers Developed for Analysis of the ITS Region of Environmental DNA Extracts. BMC Microbiol. 2005, 5, 28. DOI: 10.1186/1471-2180-5-28.
   PubMed Web of Science ®Google Scholar
• Zhang, Z.; Shibahara, K-i.; Stillman, B. PCNA Connects DNA Replication to Epigenetic Inheritance in Yeast. Nature 2000, 408, 221–225. DOI: 10.1038/35041601.
   PubMed Web of Science ®Google Scholar
• Tamura, K.; Battistuzzi, F. U.; Billing-Ross, P.; Murillo, O.; Filipski, A.; Kumar, S. Estimating Divergence Times in Large Molecular Phylogenies. Proc. Natl. Acad. Sci. U.S.A. 2012, 109, 19333–19338. DOI: 10.1073/pnas.1213199109.
   PubMed Web of Science ®Google Scholar
• Taha, M. G. A. E.; Dawood, M. A. M.; Ali, H. E. Production of Bio-Ethanol from Potato Starch Wastes by Saccharomyces cerevisiae. Egypt. J. Appl. Sci. 2019, 34, 256–267.
   Google Scholar
• Miller, G. L.; Slater, R.; Birzgalis, R.; Blum, R. Application of Different Colorimetric Tests to Cellodextrins. Anal. Biochem. 1961, 2, 521–528. DOI: 10.1016/0003-2697(61)90019-7.
   PubMed Web of Science ®Google Scholar
• Hernstrom, J. A Test-Bed Application for Analog Sensors Used in Wireless Sensor Networks: Student Paper. J. Comput. Sci. Coll. 2006, 21, 184–189.
   Google Scholar
• Volchenko, N. N.; Samkov, A. A.; Malyshko, V. V.; Khudokormov, A. A.; Moiseev, A. V.; Elkina, A. A.; Baryshev, M. G.; Pershin, S. M. Influence of the Environmental Isotope Composition Modification on Growth and Metabolic Activity of Rhodococcus and Saccharomyces. Biol. Bull. Russ. Acad. Sci. 2020, 47, 339–343. DOI: 10.1134/S1062359020040135.
   Web of Science ®Google Scholar
• Masoud, W.; Jespersen, L. Pectin Degrading Enzymes in Yeasts Involved in Fermentation of Coffea arabica in East Africa. Int. J. Food Microbiol. 2006, 110, 291–296. DOI: 10.1016/j.ijfoodmicro.2006.04.030.
   PubMed Web of Science ®Google Scholar
• Astudillo, I. C. P.; Alzate, C. A. C. Importance of Stability Study of Continuous Systems for Ethanol Production. J. Biotechnol. 2011, 151, 43–55. DOI: 10.1016/j.jbiotec.2010.10.073.
   PubMed Web of Science ®Google Scholar
• Niu, D.; Zhang, L.; Wang, F. Modeling and Parameter Updating for Nosiheptide Fed-Batch Fermentation Process. Ind. Eng. Chem. Res. 2016, 55, 8395–8402. DOI: 10.1021/acs.iecr.6b01245.
   Web of Science ®Google Scholar
• Ciesielski, A.; Grzywacz, R. Nonlinear Analysis of Cybernetic Model for Aerobic Growth of Saccharomyces cerevisiae in a Continuous Stirred Tank Bioreactor. Static Bifurcations. Biochem. Eng. J. 2019, 146, 88–96. DOI: 10.1016/j.bej.2019.03.003.
   Web of Science ®Google Scholar
• Ciesielski, A.; Grzywacz, R. Dynamic Bifurcations in Continuous Process of Bioethanol Production under Aerobic Conditions Using Saccharomyces cerevisiae. Biochem. Eng. J. 2020, 161, 107609. DOI: 10.1016/j.bej.2020.107609.
   Web of Science ®Google Scholar
• Liu, D.; Xu, L.; Xiong, W.; Zhang, H. T.; Lin, C. C.; Jiang, L.; Xu, B. Fermentation Process Modeling with Levenberg-Marquardt Algorithm and Runge-Kutta Method on Ethanol Production by Saccharomyces cerevisiae. Math. Prob. Eng. 2014, 2014, 1–10. DOI: 10.1155/2014/289492.
   Web of Science ®Google Scholar
• Karapatsia, A.; Penloglou, G.; Chatzidoukas, C.; Kiparissides, C. Fed-Batch Saccharomyces cerevisiae Fermentation of Hydrolysate Sugars: A Dynamic Model-Based Approach for High Yield Ethanol Production. Biomass Bioenergy 2016, 90, 32–41. DOI: 10.1016/j.biombioe.2016.03.021.
   Web of Science ®Google Scholar
• De Oliveira, L. P.; Hudebine, D.; Guillaume, D.; Verstraete, J. J. A Review of Kinetic Modeling Methodologies for Complex Processes. Oil Gas Sci. Technol. 2016, 71, 45. DOI: 10.2516/ogst/2016011.
   Google Scholar
• Alvarez-Vasquez, F.; Sims, K. J.; Hannun, Y. A.; Voit, E. O. Integration of Kinetic Information on Yeast Sphingolipid Metabolism in Dynamical Pathway Models. J. Theor. Biol. 2004, 226, 265–291. DOI: 10.1016/j.jtbi.2003.08.010.
   PubMed Web of Science ®Google Scholar
• Oliveira, S. C. Kinetic Modeling and Optimization of a Batch Ethanol Fermentation Process. J. Bioprocess. Biotech. 2016, 6, 266. DOI: 10.4172/2155-9821.1000266.
   Google Scholar
• Jouned, M. A.; Kager, J.; Herwig, C.; Barz, T. Event Driven Modelling for the Accurate Identification of Metabolic Switches in Fed-Batch Culture of S. cerevisiae. Biochem. Eng. J. 2022, 180, 108345. DOI: 10.1016/j.bej.2022.108345.
   Web of Science ®Google Scholar
• Nelson, M. I.; Hamzah, N. Performance Evaluation of Bioethanol Production through Continuous Fermentation with a Settling Unit, 2013.
   Google Scholar
• Chakraverty, S. Advanced Numerical and Semi-Analytical Methods for Differential Equations. John Wiley & Sons, Hoboken, NJ, USA, 2019.
   Google Scholar
• Dekkers, J. G. J.; DE Kok, H. E.; Roels, J. A. Energetics of Saccharomyces cerevisiae CBS 426: Comparison of Anaerobic and Aerobic Glucose Limitation. Biotechnol. Bioeng. 1981, 23, 1023–1035. DOI: 10.1002/bit.260230510.
   Web of Science ®Google Scholar
• Doran, P. M. Bioprocess Engineering Principles. Elsevier, San Diego, USA,1995.
   Google Scholar
• Sonnleitner, B.; Käppeli, O. Growth of Saccharomyces cerevisiae is Controlled by Its Limited Respiratory Capacity: Formulation and Verification of a Hypothesis. Biotechnol. Bioeng. 1986, 28, 927–937. DOI: 10.1002/bit.260280620.
   PubMed Web of Science ®Google Scholar
• Ahn, J.; Hong, J.; Park, M.; Lee, H.; Lee, E.; Kim, C.; Lee, J.; Choi, E-s.; Jung, J-k.; Lee, H.; et al. Phosphate-Responsive Promoter of a Pichia pastoris Sodium Phosphate Symporter. Appl. Environ. Microbiol. 2009, 75, 3528–3534. DOI: 10.1128/AEM.02913-0.
   PubMed Web of Science ®Google Scholar
• Giner‐Seguí, J.; et al. New Kinetic Approach to the Evolution of Polygalacturonase (EC 3.2. 1.15) Activity in a Commercial Enzyme Preparation under Pulsed Electric Fields. J. Food Sci. 2006, 71, E262–E269. DOI: 10.1111/j.1750-3841.2006.00054.x.
   Web of Science ®Google Scholar
• Bendicho, S.; Marsellés-Fontanet, A. R.; Barbosa-Cánovas, G. V.; Martín-Belloso, O. High Intensity Pulsed Electric Fields and Heat Treatments Applied to a Protease from Bacillus subtilis. A Comparison Study of Multiple Systems. J. Food Eng. 2005, 69, 317–323. DOI: 10.1016/j.jfoodeng.2004.08.022.
   Web of Science ®Google Scholar
• Giner, J.; Grouberman, P.; Gimeno, V.; Martín, O. Reduction of Pectinesterase Activity in a Commercial Enzyme Preparation by Pulsed Electric Fields: Comparison of Inactivation Kinetic Models. J. Sci. Food Agric. 2005, 85, 1613–1621. DOI: 10.1002/jsfa.2154.
   Web of Science ®Google Scholar
• Boeckx, J.; Hertog, M.; Geeraerd, A.; Nicolai, B. Kinetic Modelling: An Integrated Approach to Analyze Enzyme Activity Assays. Plant Methods 2017, 13, 1–12. DOI: 10.1186/s13007-017-0218-y.
   PubMed Web of Science ®Google Scholar
• Teusink, B.; Passarge, J.; Reijenga, C. A.; Esgalhado, E.; van der Weijden, C. C.; Schepper, M.; Walsh, M. C.; Bakker, B. M.; van Dam, K.; Westerhoff, H. V.; et al. Can Yeast Glycolysis Be Understood in Terms of In Vitro Kinetics of the Constituent Enzymes? Testing Biochemistry. Eur. J. Biochem. 2000, 267, 5313–5329. DOI: 10.1046/j.1432-1327.2000.01527.x.
   PubMedGoogle Scholar
• Vallance, C. An Introduction to Chemical Kinetics. Vol. 135. Morgan & Claypool Publishers, 2053–2571, 2007.
   Google Scholar
• Legates, D. R.; McCabe, G. J. Jr. Evaluating the Use of “Goodness‐of‐Fit” Measures in Hydrologic and Hydroclimatic Model Validation. Water Resour. Res. 1999, 35, 233–241. DOI: 10.1029/1998WR900018.
   Web of Science ®Google Scholar
• López-Pérez, P. A.; Peña-Caballero, V.; Neria-González, M. I.; Madrigal-Serrano, O.; Aguilar-López, R. The Influence of Experimental Data Quality on Parametric Identification Accuracy Sulfate Reducing Process. Rev. Int. Investig. Nivación Tecnol. 2013, 1, 1–17.
   Google Scholar
• Reimann, A.; Hay, T.; Echterhof, T.; Kirschen, M.; Pfeifer, H. Application and Evaluation of Mathematical Models for Prediction of the Electric Energy Demand Using Plant Data of Five Industrial-Size EAFs. Metals 2021, 11, 1348. DOI: 10.3390/met11091348.
   Web of Science ®Google Scholar
• Atmadjaja, A. N.; Holby, V.; Harding, A. J.; Krabben, P.; Smith, H. K.; Jenkinson, E. R. CRISPR-Cas, a Highly Effective Tool for Genome Editing in Clostridium saccharoperbutylacetonicum N1-4 (HMT). FEMS Microbiol. Lett. 2019, 366, fnz059. DOI: 10.1093/femsle/fnz059.
   PubMed Web of Science ®Google Scholar
• Agbogbo, F. K.; Coward-Kelly, G.; Torry-Smith, M.; Wenger, K. S. Fermentation of Glucose/Xylose Mixtures Using Pichia stipitis. Process Biochem. 2006, 41, 2333–2336. DOI: 10.1016/j.procbio.2006.05.004.
   Web of Science ®Google Scholar
• Rojas-Chamorro, J. A.; Cara, C.; Romero, I.; Ruiz, E.; Romero-García, J. M.; Mussatto, S. I.; Castro, E. Ethanol Production from Brewers’ Spent Grain Pretreated by Dilute Phosphoric Acid. Energy Fuels 2018, 32, 5226–5233. DOI: 10.1021/acs.energyfuels.8b00343.
   Web of Science ®Google Scholar
• Nandal, P.; Sharma, S.; Arora, A. Bioprospecting Non-Conventional Yeasts for Ethanol Production from Rice Straw Hydrolysate and Their Inhibitor Tolerance. Renew. Energy 2020, 147, 1694–1703. DOI: 10.1016/j.renene.2019.09.067.
   Web of Science ®Google Scholar
• Singh, N.; Mathur, A. S.; Gupta, R. P.; Barrow, C. J.; Tuli, D.; Puri, M. Enhanced Cellulosic Ethanol Production via Consolidated Bioprocessing by Clostridium thermocellum ATCC 31924. Bioresour. Technol. 2018, 250, 860–867. DOI: 10.1016/j.biortech.2017.11.048.
   PubMed Web of Science ®Google Scholar
• Thammasittirong, N. R. S.; Chamduang, T.; Phonrod, U.; Sriroth, K. Ethanol Production Potential of Ethanol-Tolerant Saccharomyces and Non-Saccharomyces Yeasts. Pol. J. Microbiol. 2012, 61, 219–221.
   PubMed Web of Science ®Google Scholar
• Srimachai, T.; Nuithitikul, K.; Sompong, O.; Kongjan, P.; Panpong, K. Optimization and Kinetic Modeling of Ethanol Production from Oil Palm Frond Juice in Batch Fermentation. Energy Proc. 2015, 79, 111–118. DOI: 10.1016/j.egypro.2015.11.490.
   Google Scholar
• Yáñez‐S, M.; Rojas, J.; Castro, J.; Ragauskas, A.; Baeza, J.; Freer, J. Fuel Ethanol Production from Eucalyptus Globulus Wood by Autocatalized Organosolv Pretreatment Ethanol–Water and SSF. J. Chem. Technol. Biotechnol. 2013, 88, 39–48. DOI: 10.1002/jctb.3895.
   Web of Science ®Google Scholar
• Ogbonna, J. C.; Mashima, H.; Tanaka, H. Scale up of Fuel Ethanol Production from Sugar Beet Juice Using Loofa Sponge Immobilized Bioreactor. Bioresour. Technol. 2001, 76, 1–8. DOI: 10.1016/s0960-8524(00)00084-5.
   PubMed Web of Science ®Google Scholar
• Laopaiboon, L.; Thanonkeo, P.; Jaisil, P.; Laopaiboon, P. Ethanol Production from Sweet Sorghum Juice in Batch and Fed-Batch Fermentations by Saccharomyces cerevisiae. World J. Microbiol. Biotechnol. 2007, 23, 1497–1501. DOI: 10.1007/s11274-007-9383-x.
   Web of Science ®Google Scholar
• Gaona-Barrera, L. M. Matrices de Covarianza Estructuradas en Modelos Con Medidas Repetidas. Doctoral Dissertation, 2005.
   Google Scholar
• Posada, S. L.; Noguera, R. R. Comparación de Modelos Matemáticos: una Aplicación en la Evaluación de Alimentos Para Animales. Revista Colombiana de Ciencias Pecuarias 2007, 20, 141–148.
   Google Scholar
• Rincón Santamaría, A.; Cuellar Gil, J. A.; Valencia Gil, L. F.; Sánchez Toro, O. J. Cinética de Crecimiento de gluconacetobacter diazotrophicus Usando Melaza de Caña y Sacarosa: Evaluación de Modelos Cinéticos. Acta Biol. Colomb. 2019, 24, 38–57. DOI: 10.15446/abc.v24n1.70857.
   Google Scholar
• Nosrati-Ghods, N.; Harrison, S. T. L.; Isafiade, A. J.; Tai, S. L. Analysis of Ethanol Production from Xylose Using Pichia stipitis in Microaerobic Conditions through Experimental Observations and Kinetic Modelling. Biochem. Eng. J. 2020, 164, 107754. DOI: 10.1016/j.bej.2020.107754.
   Web of Science ®Google Scholar
• Fan, S.; Chen, S.; Tang, X.; Xiao, Z.; Deng, Q.; Yao, P.; Sun, Z.; Zhang, Y.; Chen, C. Kinetic Model of Continuous Ethanol Fermentation in Closed-Circulating Process with Pervaporation Membrane Bioreactor by Saccharomyces cerevisiae. Bioresour. Technol. 2015, 177, 169–175. DOI: 10.1016/j.biortech.2014.11.076.
   PubMed Web of Science ®Google Scholar
• Díaz, V. H. G.; Willis, M. J. Ethanol Production Using Zymomonas mobilis: Development of a Kinetic Model Describing Glucose and Xylose co-Fermentation. Biomass Bioenergy 2019, 123, 41–50. DOI: 10.1016/j.biombioe.2019.02.004.
   Web of Science ®Google Scholar