Estimation of aloin concentration in Aloe vera L. (Aloe barbadensis Mill.) by mathematical modeling
Abstract
Aloin is one of the secondary metabolites that gives plants of the genus Aloe spp. their healing properties. The concentration of aloin is related to the fresh mass and, its industrial purification involves laboratory processes that add extra costs to its commercialization. The objective of this research was to mathematically modelize the estimation of the aloin concentration in A. vera L. from the fresh mass. The theory of discrete perfect least squares approximations was used, considering linear and exponential approximation functions. For the tabulation of the data, the option of class mark and the average of the values were used. The analyses of the approximations indicate that the exponential curves approximate the data better (with R2 = 75% and 82% for the two options, respectively) than the straight lines (with R2 = 65% and 70% for the two options, respectively). The use of these approximations is recommended to estimate the concentration of aloin in A. vera plants based on their fresh mass, facilitating the measurement of this secondary metabolite, and minimizing costs in the industrialization process.
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References
Burden, R. & Faires, D. (2011). Numerical Analysis. Brooks/Cole, Cengage Learning. United States. 1365p. Disponible en https://cutt.ly/rnoYMcW
Chapra, S. & R. Canale. (2015). Métodos numéricos para Ingenieros. Editorial McGraw Hill. Séptima Edición. México. 977pp.
Charte, F. (2016). Microsoft Excel 2016. Manual Avanzado. Editorial Anaya Multimedia. 424pp.
Deng-Feng, X., Huan-Xi Y., Xie Chuan, P., Yi-Qi, D., Jun-Pei, C., Yan, Y., Song-Dong, Z. & Xing-Jin, H. (2019). Phylogeny of chinese Allium species in section daghestanica and adaptive evolution of Allium (Amaryllidaceae, allioideae) species revealed by the chloroplast complete genome. Frontiers in Plant Science 10:460. DOI: https://doi.org/10.3389/fpls.2019.00460
Di Rienzo, J. ,Casanoves, F., Balzarini, M., Gonzalez, L., Tablada, M. & Robledo, C.. (2011). InfoStat versión 2011. Grupo InfoStat. Universidad Nacional de Córdoba, Argentina. http://www.infostat.com.ar
Diario Oficial de las Comunidades Europeas. (1988). Directiva 88/388/CEE del Consejo de 22 de junio de 1988 relativa a la aproximación de las legislaciones de los Estados Miembros en el ámbito de los aromas que se utilizan en los productos alimenticios y de los materiales de base para su producción. https://cutt.ly/pnoY9y6.
Epperson, J. (2021). An introduction to numerical methods and analysis. Editorial Wiley & Sons, Inc. Tercera edición. 385pp.
Ewel, J. y A. Madrid. 1976. Zonas de vida en Venezuela. Memorias explicativas sobre el mapa ecológico. Ministerio de Agricultura y Cría. Caracas. 264p.
FAUBA. Facultad de Agronomía de la Universidad de Buenos Aires. (2018). Los simuladores del agro. Sobre La Tierra. https://cutt.ly/KnoY48r
Glass, G. & Hopkins, K. (1996). Statistical methods in education and psychology. Tercera edición. Editorial Allen & Bacon. Orlando, FL. Academic Press. 1563pp.
González, L. (2017). Análisis exploratorio de datos. Una introducción a la estadística descriptiva y probabilidad. Universidad de Bogotá Jorge Tadeo Lozano. Facultad de Ciencias Naturales e Ingeniería. 342 pp. Disponible en https://cutt.ly/3noUdcf
Jawade, N. & Chavanb, A. (2013). Ultrasonic-Assisted extraction of Aloin from Aloe vera gel. Proceeding Engineering 51: 487-493 DOI: https://doi.org/10.1016/j.proeng.2013.01.069
Kaparakou, E., Kanakis, C., Gerogianni, M., Maniati, M., Vekrellis, K., Skottic, E. & Tarantilisa, P. (2020). Quantitative determination of aloin, antioxidant activity, and toxicity of Aloe vera leaf gel products from Greece. Journal of the Science of Food and Agriculture 101(2): 414-423. DOI: https://doi.org/10.1002/jsfa.10650
Klopper, R. & Smith, G. (2013). Aloes of the world: When, where and who?. Aloe 50: 1 y 2: 44-52. Disponible en https://cutt.ly/wnoOuBj
Mahor, G. & Ali, S. (2016). Recent update on the medicinal properties and use of Aloe vera in the treatment of various ailments. Bioscience Biotechnology Research Communications 9(2): 273-288. Disponible en https://cutt.ly/snoOzZs
Martínez, W., Vélez, M., Espitia R., Paternina-Arboleda, C., Paroddy. A. & Paternina, L. (2017). Optimización del proceso de eliminación de aloína del gel fileteado mecánico de Aloe vera concentrado 10X. Revista Cumbres 3(2): 09 – 16. DOI: https://doi.org/10.48190/cumbres.v3n2a16
Martínez-Burgos, W., Bittencourt E., Rodrigues de Paula, D., Pedroni A., Medeiros, J., Molina D. & Soccol, C. (2021). Hydrogen production by dark fermentation using a new low-cost culture medium composed of corn steep liquor and cassava processing water: Process optimization and scale-up. Bioresource Technology 320, Part B. https://doi.org/10.1016/j.biortech.2020.124370.
Minjares R. & Femenia A. (2019). Aloe vera. En Mohammad Nabavi, S. & Sánchez Silva., A. (Eds.) Nonvitamin and Nonmineral Nutritional Supplements. Academic Press. Estados Unidos. Págs. 145-152. DOI: https://doi.org/10.1016/B978-0-12-812491-8.00020-5
Molero, T., Ettiene, G. & Viloria, M. (2016). Determinación de aloína en poblaciones de Aloe vera L. (= Aloe barbadensis M.) del occidente de Venezuela. Revista Multiciencias 16 (2): 143-152. Disponible en https://cutt.ly/DnoPoxe
Moradi, M., Niakousari, M. & Khaneghah, A. (2019). Kinetics and mathematical modeling of thin layer drying of osmo‐treated Aloe vera (Aloe barbadensis) gel slices. Journal Proceeding Engineering 42 (6). DOI: https://doi.org/10.1111/jfpe.13180
Pandey, A. & Singh, S. (2016). Aloe Vera: A Systematic Review of its Industrial and Ethno-Medicinal Efficacy. International Journal of Pharmaceutical Research & Allied Sciences 5(1): 21-33. Disponible en https://cutt.ly/8noHci3
Pedroza, A., Gómez, F., Samaniego-Gaxiola, J., Trejo, R. & Ruiz, J. (2009). Caracterización del proceso de industrialización y comercialización de la sábila: estudio de caso. Revista Chapingo Serie Zonas Áridas 8:241-246. Disponible en https://cutt.ly/NnoJkVe
Sabat, M., Patel, S. & Kalne, A. (2018). Influence of temperature on drying kinetics of Aloe vera and its mathematical modeling. Current Journal of Applied Science and Technology 31(5): 1-10. DOI: https://doi.org/10.9734/CJAST/2018/45591
Statistics Solutions. (2013). ANOVA (Analysis of Variance). https://www.statisticssolutions.com/free-resources/directory-of-statistical-analyses/anova/
Steel, R. & J. Torrie. 1960. Principles and Procedures of Statistics with Special Reference to the Biological Sciences. Editorial McGraw Hill. Pág. 187, 287.
Sturges, H. (1926). The Choice of a Class Interval. Journal of the American Statistical Association 21(153): 65-66.
Vega-Gálvez, A., Notte-Cuello, E., Lemus-Mondaca, R. & Miranda, L. (2009). Mathematical modelling of mass transfer during rehydration process of Aloe vera (Aloe barbadensis Miller). Food and Bioproducts Processing 87(4): 254-260. DOI: https://doi.org/10.1016/j.fbp.2008.10.004
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