Gompertz Equation’s First and Second Derivatives for Kinetics Analysis of Batch Dark Fermentation on Bio-Hydrogen Production.
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Based on results of different works carried out under the project of hydrogen and sustainable energies of the Department of Energy and the perspective shown by Bergues et al [6], concerning the presentation and interpretation of results obtained by Aleman [21], Sandoval and Yanez [10] and Morales and Argueta [22]; it is established a rigorous method for the analysis of the results obtained using as a model the Gompertz equation, and its first and second derivatives as indicators, that focuses on dark fermentation bio-hydrogen production, from the perspective of the conversion of the product –i.e., not of reagents–, for purposes of its maximization and operation control.
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References
-
Argun H. and F. Kargi. (2011), Bio-hydrogen Production by Different Operational Modes of Dark and Photo-Fermentation: An Overview. International Journal of Hydrogen Energy. Vol. 36, Issue 13, pp. 7443-7459.
Google Scholar
1
-
Gompertz, Benjamin (1825). "On the Nature of the Function Expressive of the Law of Human Mortality, and on a New Method of Determining the Value of Life Contingencies," Philosophical Transactions of the Royal Society, 513-585.
Google Scholar
2
-
Blanco Londono S.A., Rodríguez Chaparro T. (2012), Produccion de biohidrogeno a partir de residuos mediante fermentacion oscura: una revision critica. Ingeniare. Revista chilena de ingeniería, vol. 20 Nº 3, pp. 398-411.
Google Scholar
3
-
Trinidad Bello, A. (2014). Modelos de crecimiento en biología, su significado biológico y selección del modelo por su ajuste. Tesis para obtener el grado de maestro en ciencias matemáticas aplicadas e industriales, Universidad Autónoma Metropolitana, Unidad Iztapalapa.
Google Scholar
4
-
Barrera-Quintero, Vladimir (2016). Modeling of the production of bio-hydrogen by means of the Gompertz equation and analysis of its parameters. Advisers: Juan Bory Reyes, Jose Angel Davila Gomez. Chemical Engineering Integration Project Report; Universidad Autonoma Metropolitana, Unidad Azcapotzalco. Mexico.
Google Scholar
5
-
Bergues-Cabrales L. E., Ramirez-Aguilera A., Camue-Ciria H. M., Bory-Reyes J, O’Farril-Mateus M. A., Placeres-Jimenez R., Verdecia-Jarque M., Suarez-Palencia F, Gonzalez-Avila M. (2008). Mathematical modeling of tumor growth in mice following low-level direct electric current. Mathematics and Computers in Simulation Vol. 78, pp.112–120.
Google Scholar
6
-
Chen, W. M.; Z. J. Tseng, K. S. Lee and J.S. Chang (2005). "Fermentative Hydrogen Production with Clostridium Butyricum CGS5 Isolated From Anaerobic Sewage Sludge". International Journal of Hydrogen Energy. Vol. 30, Issue 10, pp. 1063-1070.
Google Scholar
7
-
Chen C. Yen; Hoe Yang M., Ling Yeha K., Hung Liua C., Shu Changa J. (2008), Biohydrogen production using sequential two-stage dark and photo fermentation processes, International Journal of Hydrogen Energy, 4755 – 4762.
Google Scholar
8
-
Gadhamshetty V., Arudchelvam Y., Nirmalakhandan. (2009), N. Modeling dark fermentation for biohydrogen production: ADM1-based model vs. Gompertz model, International Journal of Hydrogen Energy, 479 – 490.
Google Scholar
9
-
Sandoval-Santa-Ana M., Yanez-Reyes J.J. (2014), Biohydrogen production kinetics by fermentation of molasses in a batch reactor. Advisers: Ma. Elena Hernandez Rojas y Jose Angel Davila Gomez. Chemical Engineering Project Report, Universidad Autonoma Metropolitana, Unidad Azcapotzalco. Mexico
Google Scholar
10
-
Charles P. Winsor. (1932). The Gompertz curve as a growth curve. Proceedings of the National Academy of Sciences. Volume 18: 1-8.
Google Scholar
11
-
Lay JJ. (2001) Biohydrogen generation by mesophilic anaerobic fermentation of microcrystalline cellulose. Biotechnology Bioengineering 74: 280–7.
Google Scholar
12
-
Wen-Hsing Chena, Shen-Yi Chenb, Samir Kumar Khanala, Shihwu Sunga (2006); Kinetic study of biological hydrogen production by anaerobic fermentation International Journal of Hydrogen Energy 31: 2170 – 2178.
Google Scholar
13
-
Hernández Rojas M. E., Vazquez Huerta G., Davila Gomez J. A. (2012), Fermentacion anaerobia para la produccion de bio-hidrogeno en un reactor UASB mediante la ruta del etanol (2012). Revista Cubana de Quimica. Vol. XXIV, No 3, septiembre-diciembre.M. H. Hwang, N. J. Jang, S. H. Hyun, and I. S. Kim, (2004). “Anaerobic bio-hydrogen production from ethanol fermentation: the role of pH”. Journal of Biotechnology, Vol. 111, Issue3, pp. 297-309.
Google Scholar
14
-
Hawkes FR, Hussy I, Kyazze G, Dinsdale R, Hawkes DL. (2007). Continuous dark fermentative hydrogen production by mesophilic microflora: principles and progress IJHE. 32. 32:172-184.
Google Scholar
15
-
M. H. Hwang, N. J. Jang, S. H. Hyun, and I. S. Kim, (2004). “Anaerobic bio-hydrogen production from ethanol fermentation: the role of pH”. Journal of Biotechnology, Vol. 111, Issue3, pp. 297-309.
Google Scholar
16
-
Nanqi Rena, Jianzheng Lia, Baikun Lib,YongWanga, Shirui Liua. (2006). Biohydrogen production from molasses by anaerobic fermentation with a pilot-scale bioreactor system. International Journal of Hydrogen Energy 31: 2147 – 2157.
Google Scholar
17
-
P. Sinha and A. Pandey. (2011), “An Evaluative Report and Challenges for Fermentative Biohydrogen Production”. International Journal of Hydrogen Energy. Vol. 36, Issue 13, pp. 7460-7478.
Google Scholar
18
-
Sandoval-Santa-Ana M., Yanez-Reyes J.J. (2013). Calculation of Gompertz equation’s parameters for the bio-hydrogen production with different cultures through various numerical methods. Advisers: Jose Angel Davila Gomez y Ma. Elena Hernandez Rojas. Chemical Engineering Project Advance Report. Universidad Autonoma Metropolitana, Unidad Azcapotzalco. Mexico.
Google Scholar
19
-
Dartmouth College, US (2017), as https://math.dartmouth.edu/opencalc2/cole/lecture8.pdf .
Google Scholar
20
-
Aleman-Ruiz, Alfonso, (2013). Bio-production of hydrogen from organic waste. Advisers: Ma. Elena Hernandez Rojas, Ma. del Carmen Fajardo Ortiz y Jose Angel Davila Gomez. Environmental Engineering Project Report. Universidad Autonoma Metropolitana, Unidad Azcapotzalco. Mexico
Google Scholar
21
-
Morales Hernández S.A., Rizo Acosta P., Hernández Rojas M.E., Davila Gómez J.A. (2015), Produccion de biohidrogeno en un reactor continuo UASB, Rev. Cubana Quím. Vol. 27, no. 1, enero-abril, 2015, págs. 65-78.
Google Scholar
22