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Determinación de un modelo predictivo de secado para la manzana producida en la sierra centro.

 

 

Determination of a predictive drying model for t= he apple, produced in central highlands.

 

Sandra Elizabe= th López Sampedro. [1]. Ana Cristina León Naranjo. [2].<= span class=3DMsoFootnoteReference> Darío Javier Baño Ayala. [3] & Luis Fernando Arboleda Alvarez. [4]

 

Recibido: 15-02-2021 / Revisado: 24-02-2021 /Aceptado: 16-03-2021/ Publicado: 05-04-2= 021

 

Abstract. =                                         DOI: = https://doi.org/10.33262/c= oncienciadigital.v4i2.1670  

 

In= troduction. The determination of a mathematical model to predict the drying of a product is of great importance to establish industrialization processes in this case of the apple produced in the centr= al highlands Zone 3. Objective. Establish optimal temperature and time conditions for the apple drying process. Methodology. Statistically,= a completely randomized design was used with three temperatures (45 ° C, 55 = ° C, and 65 ° C) and three repetitions each. The following tests were carried o= ut on the final product: physical-chemical: Brix, acidity, pH, ash, humidity, dry matter as well as microbiological and sensorial. Results. The best results were 6.30 ° Brix at 65 ° C, for acidity the best results were at = 55 ° C with responses equal to 0.62. For dry matter and sensory tests the best temperature was 65 ° C. The microbiological analyzes showed the absence of microorganisms; The economic analysis showed that the best treatment was at= 65 ° C, it was then possible to determine the drying ratio in the apple using= the mathematical model based on the equation Y =3D a + P1 (b1) + MR (b2) to imp= rove efficiency in drying. Conclusion. It was concluded that the temperat= ure of 65 ° C presents better results in terms of final mass after dehydration=

Keywords: Fruit, apple, drying model, temperature.

Resumen

 

Introducción. la determinación de un modelo matemático para predicción del secado de un producto resulta de gran importancia para establecer procesos de industrialización en este caso de la manzana produc= ida en la sierra centro Zona 3. Objetivo. Establecer condiciones de temperatura y tiempo óptimas para el proceso de secado de la manzana. M= etodología. Estadísticamente se empleó un diseño completamente al azar con tres temperaturas (45°C, 55°C, y 65°C) y tres repeticiones cada una. En el pr= oducto final se realizaron los siguientes ensayos: físico químicos: Brix, acidez= , pH, cenizas, humedad, materia seca además de microbiológicos y sensoriales. <= b>Resultados. Los mejores resultados fueron 6,30 ° Brix a 65°C, para acidez los mejores resultaros fueron a 55°C con respuestas iguales a 0,62. Para materia seca y pruebas sensoriales la mejor temperatura fue 65°C. Los análisis microbiol= ógicos mostraron ausencia de microorganismos; el análisis económico mostró que = el mejor tratamiento fue a 65°C, se pudo entones determinar el ratio de secad= o en la manzana utilizando el modelo matemático basado en la ecuación Y=3D a+P= 1 (b1)+MR (b2) para mejorar la eficiencia en el secado = Conclusión. Se concluyó que la temperatura de 65°C presenta mejores resultados en cua= nto a masa final posterior al deshidratado

 

Palabras claves: Fruta, manzana, modelo de secado, temperatura.=

 

 

Introducción.

 El Ecuador presenta un cultivo de manzana ancestral como su historia misma, generando diversas técnicas que mediante la producción adecuada ha ayudad= o a cubrir la demanda surgida a través de los años. Además, representa un ecosistema con una alta riqueza natural, por la presencia de la Cordillera = de los Andes que ha influido en este factor ecosistémico (León 2019, citado = en Montalván 2014).

Como segundo factor se tiene a la posición geográfica con base en el cultivo, logrando así una producción local aut= osuficiente localizada en la región centro del ecuador o zona 3, principalmente provin= cia de Tungurahua (León 2019 citado en Paredes, 2019).

La diversidad frutícola y productiva de Tungura= hua se ha visto amenazada durante los últimos años debido a varios factores c= omo la baja productividad, las importaciones de fruta, el descuido de las partes interesadas y continuas erupciones volcánicas. Siendo la variedad de manza= na Emilia, una de las frutas mayormente afectadas a pesar de ser considerada un símbolo de cultura y tradición entre sus pueblos (León 2019 citado en La= ra, 2015; Sánchez 2016).

La deshidratación como tratamiento de conservac= ión de productos agrícolas  se ha emp= leado ampliamente en frutas, es así que con el fin de mejorar la eficiencia en e= l secado, se evaluaron tres temperaturas experimentales para ajustarlas a un modelo de predicción matemático

Metodologia.

La presente investigación se realizó en= la Facultad de Ciencias Pecuarias de la Escuela Superior Politécnica de Chimb= orazo (ESPOCH). El análisis proximal y fisicoquímico se realizó en el Laborato= rio de Alimentos y Conservas, Laboratorio de Microbiología y Bromatología de la Facultad de Ciencias Pecuarias, ESPOCH, ubicado en el cantón Riobamba Kil= metro 1 ½ Panamericana sur. La investigación tendrá un tiempo de duración est= imado de 90 días.

Se consideraron dos parámetros de estudi= o: i) temperaturas de 45, 55 y 65°C y ii) tiempos de 3, 6 y 9 horas, con lo cual= se determinó las condiciones óptimas para el secado de la cantidad de materia prima a ser utilizada. Se realizaron pruebas de laboratorio como: Análisis Sensorial: color, olor, sabor y textura; Características Fisicoquímicas: humedad, cenizas, °Brix, pH); Análisis Microbiológico: mohos, levaduras. Para la evaluación de las característi= cas físicas y sensoriales de la manzana deshidratada se evaluaron diferentes temperaturas que constituyeron el factor A y diferentes tiempos como factor= B. Las unidades experimentales fueron modeladas en un diseño completamente al= azar en arreglo bifactorial.

Para la determinación de la significanci= a de las variables sensoriales se utilizó una estadística descriptiva de las degustaciones de acuerdo con criterios de evaluación entre la mayor y menor preferencia y los resultados fueron ilustrados utilizando gráficos porcentuales. Los resultados experimentales fueron modelados utilizando un diseño completamente al azar simple utilizando el programa estadístico INFOSTAT. Los análisis estadísticos fueron: Análisis de varianza (ADEVA), separación de medias, la prueba de Tukey al 0,05 de significancia.

= Resultados= y discusión

Ratio del Secado

Se realizó= un secado de manzana de 45, 55 y 65°C hasta conseguir pesos constantes. =

 =

Cuadro1: Ratio de secado de la manzana a 45°C

Temperatura

45 °C

Masa relativa

0,11 gramos

Constante A

0,0095

Constante B

-0,224

Tiempo

10 horas

 

 

 

Cuadro 2: Ratio de= secado de la manzana 55°C<= span lang=3DES style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New= Roman",serif; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-fare= ast-language: EN-US;mso-bidi-font-style:italic'>

Temperatura

55 °C

Masa relativa

0,11 gramos

Constante A

-0,1896

Constante B

-0,2687

Tiempo

8 horas

 =

 

Cuadro 3: Ratio de secado de la manzana a 65°C

Temperatura

65 °C

Masa relativa

0,11 gramos

Constante A

-0,2936

Constante B

-0,3347

Tiempo

6 horas

 

El tiempo utilizado en el secado de manzana para 45°C fue de 10 horas; para 55°C, 8= horas y para 65°, 6 horas. Estos valores coinciden con los obtenidos en la parte experimental a partir de estas horas establecidas por el modelo los pesos s= on constantes. El ratio de secado es utilizado para estandarizar el secado en material vegetal, de manera que puedan ser utilizadas a diferentes condicio= nes de humedad relativa, velocidad del aire y temperatura. (León 2019 citado en Hernández 2018, Jaramillo 2012)

 

Grados Brix

En el gráf= ico 1, al analizar la variable de grados Brix se observó que existen diferenci= as altamente significativas para la interacción AxB (P<0.01) Al comparar los valores de los tres tratamientos (45°C, 55°C,= 65°C) a 9 horas de deshidratación se observó que no hay diferencias estadístic= as. De acuerdo con el análisis de regresión se observó una respuesta cuadrática (P<0.04), y =3D 0,019x2 - 2,130x + 60,55 con un coeficiente de determina= ción de 36.7%.=

 =

Gráfico 1: Contenido de °Brix presentes en la Manzana deshidratada.

 

=

De acuerdo = a la norma española de deshidratado de frutas (NTC 5468, 2007), el mínimo de <= span class=3DSpellE>°Brix que debe contener una fruta deshidratada es de (10°Brix). Los resultados que se obtuvieron  en esta investigación son inferiores a los requerimientos.

 =

Según lo estipulado por en un estudio proceso de deshidratación osmótica y por flu= jo de aire caliente de la fruta bomba (Carica papaya L.) variedad Maradol roja. Estos estipularon una temperatura de se= cado de 60 °C durante un tiempo de 5 horas y una concentración de sacarosa de = 70 OBrix (León 2019 citado en Contreras, 2014).

 =

En su estud= io realizado por Contreras 2014, en el cual concluye que la temperatura de sec= ado fue el factor de mayor efecto sobre la variable de tiempo de secado de las láminas, donde el nivel alto de 60ºC registró un tiempo de nueve horas y= una menor humedad final.

 

Acidez total

 =

En la gráf= ica 2, se observa que no existen diferencias significativas entre valores de ac= idez provenientes de los diferentes tratamientos térmicos.

 =

Los valores= más altos corresponden a los tratamientos: 45°C, 55ºC y 65ºC – 3 , 6 y 9 horas de deshidratado respectivamente de la manzana. Mientras que el menor contenido de acidez (0,58)  se observó cuando se utilizó una temperatura a 45°C y por un tiem= po de 6 horas.

 

Gráfico 2: Acidez en la manzana deshidratada.

=

Fuente: Autor, (2019).

 

La variabil= idad que existió en la acidez de las muestras al atravesar los distintos rangos= de temperatura fue muy notoria. A pesar de que a una mayor temperatura los niv= eles de pH bajan, en el caso de una temperatura de 65 OC, = el nivel de acidez se elevó, puede ser debido a las reacciones de degradación térmica de los ácidos orgánicos y vitaminas presentes en la fruta entre = otros factores. (León 2019 citado = en Cabezas 2014; Alcántara 2007).

 =

De acuerdo = a lo que reporta la norma (NTC 5468, 2007) indica que el valor máximo es (3.3%)= de acidez para frutas ácidas. Sin embargo, los valores son relativamente bajo= s. En el trabajo de investigación “Deshidratación Osmótica y Secado por Aire= Caliente en Mango, Guayaba y Limón para la Obtención de Ingredientes Funcionales= en el cual se obtiene una cantidad de 0,46 y 1,17 de acidez para el mango y la guayaba respectivamente además de lo descrito por (León 2019 citado en Amador  2009).

 

pH

Al analizar los resultados obtenidos del potencial de hidrogeno (pH)= y la interacción de la temperatura/ tiempo de deshidratación, se puede obse= rvar que existen diferencias significativas de 0,08 entre 3 a 9 horas de deshidratación. En el gráfico 3-18 el menor valor de pH fue de 0,63 a una temperatura de 45°C por 3 horas de secado, y el resultado más alto a 65°= C por 3 horas de deshidratación el pH fue de 4,87. A un mayor tiempo de estadía e= n el deshidratador, las muestras alcanzaron un mayor pH, teniendo diversos facto= res que podrían haber contribuido a estos valores principalmente la degradaci= n térmica (León 2019 citado en Bastidas, 2014).

 

De acuerdo con el análisis de regresión= se observó una respuesta cuadrática (P<0.03), y =3D -0,003x2 + 0,451x - 1= 0,30 con un coeficiente de determinación 25.9%.

 

Gráfico 3: pH en la manzana deshidratada.

=

Fuente: Autor, (2019).

 

La variabil= idad que existió en el pH de las muestras al atravesar los distintos rangos de temperatura fue muy notoria, quedando a una temperatura de 65 OC= una cantidad de pH de 4,48; lo cual se puede corroborar en el estudio realizado= por (León 2019 citado en Núñez F, 2019) “Empleo del método de= secado convectivo combinado para la deshidratación de papaya (Carica papaya L.), variedad Maradol roja” en el cual utilizó una temperatura de 60 OC, obteniendo una cantidad de pH medido de 5,= 65 (León 2019 citado en Cabezas, 2014).

 =

De acuerdo a los reportes  de la norma de deshi= dratado de frutas  (NTC 5468, 2007 y Cerez= o 2012) indica que el mínimo de pH es 3.8. Al observar los resultados obtenidos de= la manzana deshidratada, en los tres tratamientos a 9 horas de deshidratado es= tos se encuentran dentro de la norma.

 =

Contenido de cenizas.

 

El contenid= o de cenizas (%) encontrado en la manzana deshidratada presentó diferencias altamente significativas (P<0,01), por consecuencia de la interacción e= ntre la temperatura y el tiempo de deshidratación, en el gráfico 4 se indica l= os resultados obtenidos a temperaturas (45°C, 55°C y 65°C).

 =

Con un contenido de ceniza de 1.49%, 3.26% y 4.36% a un tiempo de 9, 6 y 6 horas de secado respectivamente, y el menor porcentaje de ceniza (0,30%)  a 45°C a un tiempo de 3 horas de dese= cado a una temperatura de 65 OC y un tiempo de 6 horas, las muestras de manzana arrojaron el valor más alto de cenizas con un 4,36 %. <= /span>

 =

Gráfico 4: Conteni= do de ceniza en la manzana deshidratada.

=

Fuente: Autor, (2019).

 =

A un mayor tiempo de estadía en el deshidratador, las muestras alcanzaron un mayor contenido de ceniza, teniendo diversos factores que podrían haber contribu= ido a estos valores.

 =

Los resulta= dos se pueden corroborar en el estudio realizado por (León 2019 citado en Contreras, 2014) “Evaluación de métodos de deshidratación en pi= tahaya, para el aprovechamiento de fruta que no reúne estándares de exportación = en fresca” en el cual se obtuvo para los dos métodos de secado un porcentaj= e de ceniza de 3,89 y 2,1%.

 =

Contenido de Humedad.

 

El porcenta= je de humedad se puede observar en el gráfico 5, donde se muestran los result= ados obtenidos, considerando los mejores resultados en los tres  tratamientos (45°C, 55°C y 65°C) a = 6 y 9 horas de secado, con un promedio de humedad de 19.89%, 21.85%, 22,40%  respectivamente, se puede observar el = valor más alto (22,40) cuando se utilizó una temperatura de 65°C por un tiempo de 9 horas,  respuestas que pueden demo= strar que a un mayor tiempo de estadía en el deshidratador, las muestras alcanza= ron un mayor contenido de humedad (León 2019 citado en Fito, 2019)=

Gráfico 5. Contenido de humedad interacción de temperaturas y tiempos de deshidratación. 

=

Fuente: Autor, (2019).

 

En el anál= isis de varianza de los resultados existen diferencia altamente significativas  (P<0,01) entre la interacción de temperatura y el tiempo de secado. A medida que el tiempo y la temperatura = de deshidratado se incrementa, el porcentaje de humedad disminuye. Los resultados obtenidos en esta investigación son mayores en comparación  a los que reporta la norma (NTC= 5468, 2007), la cual indica que el porcentaje  máximo de humedad debe ser de 15%, estos valores obtenidos en el es= tudio son adecuados para asegurar la calidad microbiológica del producto deshidr= atado (León 2019 citado en Gómez, 2015).

 

Contenido de Materia Seca.

 =

El contenid= o de materia seca de la manzana deshidratada por consecuencia de la interacción entre la temperatura y el tiempo de deshidratación, presentaron diferencias altamente significativas (P<0,01), obteniendo los mejores resultados a temperaturas de 55°C, 65°C a 3 horas de deshidratado con valores de 82.04= % y 84.15% de materia seca. Mientras que el menor contenido de materia seca fue= de 77,60% a una temperatura de 65°C y por un tiempo de 9 horas, como se observa  en el gráfico. (León, 2019)

 

Gráfico 6.  Materia seca de la manzana (Malus Communis. Sp) interac= ción de temperaturas y tiempos de secado.

 =

El contenid= o de materia seca se incrementa por la evaporación del agua presente en la frut= a, en esta investigación el contenido de materia seca es menor a la descrita  lo que reporta el agua es el component= e más abundante de los frutos, encontrándose en niveles comprendidos entre 89 y = 94% de materia seca, estos valores pueden depender al estado de madurez de la f= ruta (León 2019 citado en Cabezas, 2014; Hernández 2014).

 =

La variabil= idad que existió en la materia seca de las muestras al atravesar los distintos rangos de temperatura fue bajamente notorio, quedando a una temperatura de = 65 OC una cantidad aceptable de materia seca, lo cual se puede corroborar en el estudio realizado por (León 2019 citado en Núñez F, = 2019) “Empleo del método de secado convectivo combinado para la deshidratació= n de papaya (Carica papaya L.), variedad Maradol roj= a” en el cual utilizó una temperatura de 60°C, obteniendo una cantidad de mater= ia seca de 90,8%.

 =

Mohos y Levaduras.<= /p>

<= span style=3D'mso-bookmark:_Toc22126001'>     <= /a>

Para evalua= r la calidad microbiológica para la muestra de manzana deshidratada fue necesar= io realizar un análisis microbiológico para determinar la presencia de microorganismos que podrían afectar no solo en la calidad del producto, si= no también para su uso como alimento. De esta manera, se obtuvieron valores satisfactorios, siendo que las muestras fueron sometidas a temperaturas de = 45, 55 y 65°C a tiempos de 3, 6 y 9 horas. Cada muestra dio resultado negativo= a la presencia de mohos y levaduras, indicando una concentración de 0 UP/cm3 cumpliendo con los requisitos establecidos por la norma, la cual indica que= una muestra alimenticia podría presentar un valor < 10 para mohos y levadur= as. (León, 2019)<= span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New Roman",se= rif; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-ansi= -language: ES-MX;mso-fareast-language:EN-US'>

<= span style=3D'mso-bookmark:_Toc22126003'> 

Análisis Microbiológico.

 

Color

En el grafi= co 7, se observa que en el tratamiento con temperatura de secado 55 °C es el tratamiento que más aceptabilidad en color tuvo por los catadores. El 40,9= % de ellos afirmó que el color de la fruta les gusta; el 27,3% no les gustó ni= les disgustó; el 31.8% no les gustó. Seguido del tratamiento con temperatura = de secado 65°C , el 40,9% señalo que el color de = la fruta deshidratada les gustó; el 36,4 % no les gustó ni disgustó, y el 22,7% n= o les gustó. (León, 2019)=

 =

Gráfico 7: Análisis sensorial del color de los tres tratamientos de manzana deshidratada.

=

<= span style=3D'mso-bookmark:_Toc22126004'>Olor

 =

En el gráf= ico 8, se observa que en el tratamiento de temperatura de secado 55 °C es el q= ue más aceptabilidad en olor tuvo por parte del panel degustador. El 31.8% af= irmó que el olor de la fruta les gusta; el 36.4% no les gusta ni les disgusta, y= el 31.8% les gusta mucho. Seguido del tratamiento con temperatura de secado 65= °C, el 18.2% señalo que el olor de la fruta les gusta; el 36.4% no les gusta n= i les disgusta,  y el 18.18% no les gust= a. (León, 2019)

 

Gráfico 8. Análisis sensorial del olor de los tres tratamientos de manzana deshidratada

=

 =

<= span style=3D'mso-bookmark:_Toc22126005'>Sabor

 =

En la gráf= ica 9, se observa que el tratamiento con temperatura de secado 65 °C, es el tratamiento que más aceptabilidad en sabor tuvo por parte del panel degust= ador; el 54.55% señalo que el sabor de la fruta deshidratada les gusta; el 27.3% indico no les gusta ni les disgusta; el 27,3% les gusta mucho, y el 36,4% menciona que el sabor no les gusta. (León, 2019)

 

Gráfico 9: =   Análisis sensorial del sabor de los tres tratamientos.

=

<= span style=3D'mso-bookmark:_Toc22126006'> 

 

 

Textura.

 =

En el gráf= ico 10, se observa que en el tratamiento con temperatura de secado 55 °C, es el tratamiento que más aceptabilidad en sabor tuvo por parte del panel degust= ador. El 22,7% señaló que la textura de la fruta deshidratada les gusta, el 36,= 4% índico no les gusta ni les disgusta, el 40,9% les gusta mucho. (León, 2019)<= span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New Roman",se= rif; mso-fareast-font-family:Calibri;mso-fareast-theme-font:minor-latin;mso-ansi= -language: ES-MX;mso-fareast-language:EN-US'>

 =

Gráfico 10: =   Análisis sensorial de la textura de los = tres tratamientos.

 =

 

Conclusiones

 

  • Se pudo determinar un modelo de ratio de secado utilizando el modelo matemático de la curva característica ba= sado en la ecuación y=3D Ax + B en la manzana = Malus Communis. Sp; siendo la temperatura de 65°C la que me= jor resultados presentaron en cuanto a cantidad de masa final que se obtuvo después del deshidratado.

 =

  • Las características físicas de la manzana varían en función de la humedad obteniendo un mejor sabor, color, te= xtura y olor; variables organolépticas que se determinaron en función de la temperatura de deshidratación, siendo la temperatura de 65°C la de m= ayor aceptación.

 =

  • Se estableció la variación de la humedad= en función del tiempo y la temperatura de secado en la manzana. Siendo q= ue a una temperatura de 65°C se obtuvo un porcentaje de 22,4 % de humedad = a un tiempo de 9 horas.

 =

  • En la parte experimental del secado de man= zana se determinó que el proceso debe prolongarse para conseguir mayor crocantez del producto final, a partir de las horas establecidas por el modelo los datos obtenidos no son significativos.

 =

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CODEX  ALIMENTARIUS. Norma general  del  Codex  para  zumos=   (jugos)  y  néctares  de Frutas. Codex Alimentarius. 2005. 21 = p. (Codex Stan 247)

Contreras=   Ángel. Características físicas d= e frutas deshidratadas en la Región de Huancavelica.1a ed. Lima, Perú. UNAM., 2014= . pp 23 -45

Fito, P, Andrés, A., Barat, J. = & Albors, A.    Introducción al secado de alimentos por aire caliente. [En l= nea] 2019consultado: [12 de Febrero del 2019]<= /p>

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Paredes Ernesto. Estudio del proceso de horneado con microonda= s y su efecto sobre la estructura instrumental del fruto de cuatro variedades de <= span class=3DGramE>manzana.[En línea] 2012consultado: [Febrero 19 2019].= Available at: http://bibdigital.epn.edu.ec/bitstream/15000/4936/1/CD-4468.pdf<= /span>

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PARA CITAR EL ARTÍCULO INDEXADO.

 

 

López Sampedro, S. E., León Naranjo, A. C., Baño Ayala, D. J., & Arboleda <= span class=3DSpellE>Alvarez, L. F. (2021). Determinación de un modelo pr= edictivo de secado para la manzana producida en la sierra centro. ConcienciaDigital, 4(2), 247-260. https://doi.org/10.33262/concienciadigital.v4i2.1670

 

 


 

 

 

El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revi= sta Conciencia Digital.

 

El artículo queda en propiedad de la revista y, por tanto, su publicación pa= rcial y/o total en otro medio tiene que ser autorizado por el director de la Revista Conciencia Digital.<= /o:p>

 

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[1] Escuela Superior Politécnica de Chimborazo, Facul= tad de Ciencias Pecuarias. Riobamba, Ecuador. salopez@espoch.edu.ec, https://orcid.org/00= 00-0003-0209-2087

[2]  = Profesional Independiente, Riobamba, Ecuador. wich= yad@gmail.com

[3] Escuela Superior Politécnica de Chimborazo, Facultad de Ciencias Pecuarias= . Riobamba, Ecuador. dbano@yahoo.es  https://orc= id.org/0000-0003-0209-2087

[4] Escuela Superior Politécnica de Chimborazo, Facul= tad de Ciencias Pecuarias. Riobamba, Ecuador. luisf.arboleda@espoch.edu.ec, https://orcid.org/0000-0001-5541-6239

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www.concienciadigital.org

                        =                                      =                          =                          ISSN: 2600-5859

                        =                                      =              Vol. 4, N°2, p. 247-260, abril-junio, 20 21

 

Mundo digi= tal                        =                                      =                         =                                      =                        Página 12

 

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