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Artículo científico / Research paper=

C= inética de fermentación láctica natural de col blanca<= span style=3D'mso-bookmark:_Hlk42329534'>=

(Brassica olerácea L. capitata)

Kinetic of the natural la= ctic fermentation of white cabbage (Brassica olerá= ;cea L. capitata)

<= span lang=3DES-EC style=3D'font-size:11.0pt;line-height:107%;mso-ansi-language:E= S-EC'>Daniela Zúñiga-García^1,2, María Montaleza-Auquilla², Diana Andrade^1,2, Jéssica León-Vizñay^1,2, Patricia Ramírez^1,2, Alexandra Criollo-Ayala², Sonia Astudillo^1,2, María Loja³, Susana Andrade^{=
1, 2}

^1 =
;Proyecto Alimentación, Nutrición y Salud, Departamento de Biociencias, Universidad de Cuenca, Av. 12 de Abril, Cuenca, Ecuador.<= /p>

^2 =
;Docente, Fac= ultad de Ciencias Químicas, Universidad de Cuenca, Av. 12 de Abril, Cuenca, Ecuador.

^3 =
;Facultad de = Ciencias Químicas, Universidad de Cuenca, Av. 12 de Abril, Cuenca, Ecuador.

Autor para la corresponde= ncia. jessica.l= eonv@ucuenca.edu.ec<= /span>

Fecha de recepción: 21 de marzo de 2020 - Fecha de aceptación: 23 de abril de 2020

RESUMEN

Este estudio examinó la cinética química de la fermentación láctica natural de col blanca (Brassica olerácea L.-var. <= span class=3DSpellE>capitata). Primero, se desarrolló un diseño experimental y se definieron las condiciones óptimas de fermentación (temperatura, tiempo de fermentación y concentración de sal marina) para el crecimiento de bacterias lácticas. El óptimo corresponde a una temperatura de 25º= C, una duración de 14 días y un contenido de sal marina del 3%. = El experimento se replicó en once frascos y se determinó el pH, = la concentración de glucosa, fructosa y bacterias ácido lácticas. En segundo lugar, se utilizó el método integ= ral para definir la cinética química de la reacción. Para = la glucosa, la cinética se ajustó a una de orden cero y constant= e cinética 2x10^-6 g/ml.min (coeficiente de correlación =3D 0.98), y mostró que la velocidad de reacci&oa= cute;n era independiente de la concentración de la glucosa. Con respecto a = la fructosa, la cinética de segundo orden estableció una constan= te cinética 1.45x 10^-2 ml/g.min (coeficiente de correlación =3D 0.98). Así la ecuación= 0.0145 (C²] g/ml.min repre= senta la velocidad de consumo de azúcar en una reacción de fermentación láctica natural de col blanca. El enfoque de modelado ayudará al fermentador a mejorar el diseño y el proc= eso de producción.

Palabras clave: Fermentación láctica, modelo cinético, orden de reacción, col blanc= a, vida útil.

ABSTRACT

This study examined the chemical kin= etics of natural lactic fermentation of white cabbage (Brassica olerácea L.- capitata var.). First, the experimental design was developed and the optimal conditions (temperature, fermentation time and sea salt concentration) for the growth of lactic bacteria were defined. The opt= imal corresponds to a temperature of 25°C, a duration of 14 days and a sea s= alt content of 3%. The experiment was replicated in eleven bottles and the pH, the concentration of glucose, fructose, and lactic acid bacteria were determine= d. Second, the integral method was used to define the kinetics of the chemical reaction. For glucose, zero-order kinetics was set with a kinetic constant = of 2x10^-6 g/ml.min (correlation coefficient =3D 0.98), and showed t= hat the reaction rate was independent of the glucose concentration. Regarding t= he fructose, the second-order kinetics was set with a constant of 1.45x10^=
-2 ml/g.min (correlation coefficient =3D 0.98). The equation 0.0145 (C²] g/ml.min represents the speed of s= ugar consumption in a natural lactic fermentation reaction of white cabbage. The modeling approach will help the fermenter to improve the fermenting design = and enhance the production process.

Keywords: Lactic fermentation, kinetic reaction, kinetic order, white cabbage, shelf life.

1. &nbs= p; INTRODUCCIÓN

= Actualmente existe una tendencia hacia una mayor demanda y consumo de verduras y frutas= por su contenido de fibra dietaria, vitaminas y minerales (Salinas-Herná= ;ndez, González-Aguilar, Pirovani, & Ulin-Montejo, 2007; Septembre-Malaterre Remize, & Poucheret, 201= 8). Existe evidencia científica que indica que el consumo de vegetales previene patologías como hipertensión (Dauchet et al., 2007), enfermedades coronarias e infarto cardiaco (He, Nowson, Lucas, & MacGreg= or, 2007). La mayor parte de las verduras y frutas son consumidas fresca= s o mínimamente procesadas, estos alimentos mínimamente procesado= s y especialmente los vegetales frescos tienen

una corta duración ya que son rápidamente susceptibles al deterioro por acción de microorganismos patógenos. La cocción, pasteurización y adición de preservantes químicos son = las principales tecnologías utilizadas para garantizar la seguridad de l= os vegetales, pero su aplicación conlleva al cambio de las características físicas y químicas de los alimentos. <= span style=3D'color:black'>La fermentación de ácido láctico= se considera como una biotecnología simple y valiosa para mantener y/o mejorar las propiedades de seguridad, nutricionales, sensoriales y de vida útil de las verduras y frutas (Pardali, Paramithiotis, Papadelli, Mataragas, &= amp; Drosinos, 2017). Es por ello, que la industria alimentaria se ha preocupado por estudiar y optimizar este tipo de tecnología para la obtención de diversos productos de origen vegetal como la col fermentada.

= En la optimización del proceso de fermentación láctic= a se lleva a cabo la selección de controles específicos, mediciones, establecimiento de ecuaciones de ajuste de datos experimentales, velocidades de degradación (Quintero, Acosta, Mejía, Ríos, & Torres, 2013), todo ello para la contribución del diseño de los equipos fermentadores, mejoras en la lín= ea de producción y aseguramiento de la calidad= del producto final. En este contexto, entender la cinética de las fermentaciones resulta una herramienta útil e importante en el contr= ol de los procesos, ya que su estudio se basa en las velocidades y mecanismos = de la reacción a través de ecuaciones que relacionan las concent= raciones con el tiempo, o el análisis de otros factores como conversiones de sustrato, concentración de biomasa, concentración de productos formados, etc. (Quintero et al., 20= 13). Así mismo, aplicar un diseñ= ;o experimental permitirá manejar los procesos de producción de mejor forma, ya que se involucran diversas variables de entrada (presión, temperatura, tiempo, concentración, etc.) que interactúan para generar el mejor resultado (variable de salida); además, los profesionales del área se benefician de esta herramienta al cono= cer la combinación de dichas variables que favorecen el resultado y conllevan a la toma de mejores decisiones en los procesos productivos (Varela & = Lopez, 2011).

= Ecuador tiene una gran diversidad de producción de cultivos, debido a sus variadas características de suelo, clima y ubicación geográfica, siendo la Costa y la Sierra las de mayor producció= ;n. Entre los principales productos que se cultivan se encuentra el repollo o c= ol blanca, según el Tercer Censo Nacional Agropecuario 2= 000, realizado por el Instituto Nacional de Estadísticas y Censos, en el país existe un 15% de territorio nacional sembrado y, de este, un 14% corresponde a esta verdura (INEC, n.d.). Al ser un producto fresco y perecedero, la fermentación lácti= ca se convierte en una alternativa que permitiría alargar su tiempo de = vida útil y mejorar sus propiedades organolépticas como el sabor. = Esta fermentación se caracteriza por bajos requerimientos de energí= ;a para su procesamiento, por lo que se presenta como una alternativa importan= te desde el punto de vista económico (= Piagentini, Pirovani, & Güemes, 2004; Ling, Tang, Kong, Mitcham, & Wang, 2= 015).

= En la actualidad, no se han encontrado estudios sobre los parámetros cinéticos o las ecuaciones matemáticas que describen los proc= esos que ocurren en la fermentación láctica en verduras como el repollo o col blanca, información que es importante para optimizar diferentes parámetros de producción como velocidade= s de degradación de los azúcares y el tiempo de fermentació= n (Quintero et al., 2013). En la literatura se reportan curvas y datos cinéticos de algunos productos, microorganismos y sustratos fermentados en diferentes procesos como yogurt = (Pauletti et al., 2004), ácido láctico a partir de lactosuero (Jakymec et al., 2001; Burgos-Rubio, Okos, & Wankat, 2000; <= span style=3D'mso-no-proof:yes'>Acevedo, Guzmán, & Rodríguez, = 2013), degradación de betacianinas, betaxantinas y vitamina C en bebida a base de remolacha (Sánchez= -Chávez, Cortez-Arredondo, Solano-Cornejo, & Vidaurre-Ruíz, 2015) entre otros.

= El objetivo de esta investigación fue determinar la cinética química de la fermentación láctica natural de repollo = o col blanca empleando el método integral, para= la obtención de la constante cinética (k) y el orden de reacción (n) con la optimización previa de las condiciones de fermentación (temperatura, tiempo y concentración de sal mari= na).

<= /o:p>

2. &nbs= p; MATERIALES Y MÉTO= DOS

2.1.= Materiales

Se utilizó repollo o col blanca <= /b>(Brassica olerácea L. = - var. capitata), con características organolépticas apropiadas de color, textura y estado de madurez adecuado para el consumo, provenientes de los cultivos de la= parroquia rural San Joaquín de la prov= incia del Azuay. La preparación de la materia = prima se llevó a cabo en el Laboratorio de Alimentos del Tecnológic= o, Facultad de Ciencias Químicas de la Universidad de Cuenca. A partir de ella, se separaron las hojas externas deterioradas, el tronco central y se eliminaron los contaminantes físicos y microbiológicos a través de un lavado a chor= ro con agua potable y una solución desinfectante comercial. A continuación, se cortaron las hojas en tiras finas de aproximadamente 0.5 cm de ancho, se adicionó sal marina y se prensó manualmen= te durante 10 minutos para obtener el jugo del vegetal (líquido<= span style=3D'color:black'> de gobierno) que contiene los azúcares y nutr= ientes necesarios para el proceso fermentativo. Posteriormente, se almacenaron las hojas inmersas en el jugo en frascos de vidrio previamente esterilizados,= sin dejar espacio de cabeza. Las tapas de los frascos contaron con un acople ma= nual que permitía la salida de CO₂ generado y evitaba la disrupción del ambiente anaerobio durante la fermentación. Los parámetros, para dar inicio a la fermentación láctica, como la temperatura, tiempo y concentración de sal marina se determinaron a partir de un dise&nt= ilde;o experimental factorial que se explica en= la sección 2.2.

<= /o:p>

2.2.= Pretratamiento

= Para determinar las condiciones óptimas del proceso de fermentación láctica se realizó un diseño factorial 2^k, donde k representa el número de factores a analizar: temperatura, ti= empo de fermentación y concentración de sal marina, cada uno de los cuales se establecieron a dos niveles, uno mínimo (-1) y otro máximo (+1) (Tabla 1). En el caso de la temperatura se recomienda rangos de 18 a 35^oC, tiempos de fermentación c= omprendidos entre 14 a 21 días y concentración de sal marina entre un 2 a 3%= (p/p) (Montano, Castro, & Rejano, 1992), estos parámetros permitirán no retardar el desarrollo de las bacterias ácido-lácticas (= BAL) y con ello la calidad y estabilidad del producto fermentado.

=

=

Se llevó a cabo ocho experimentos en diferentes condiciones (= Tabla 2) ajustados a un modelo polinomial, según la E= c. (1).

= =

= De la Tabla 2, la variable de respuesta (y) que hace referencia al valor de pH, será el parámetro que permitirá escoger el experimento= de interés o mejor experimento, es decir un pH cercano al valor = adecuado par= a el desarrollo de bacterias ácido lácticas (pH entre 3.6 y 4). Las condiciones = del mejor experimento posteriormente se replicaron con igual técnica en = once frascos de 500 ml y durante el proceso de fermentación se tomaron alícuotas del líquido de gobierno (aproximadamente 55 ml.), c= ada doce horas para realizar análisis de pH, azúcares y análisis de bacterias ácido lácticas (ver Secciones 2.= 3, 2.4, y 2.5).

<= /p>
2.3.      = = Análisis de pH y determinación de glucosa y fructosa

= La determinación del pH se realizó en las muestras del mejor experimento, se ejecutó cada 12 horas durante 7 días y se empleó un potenciómetro fijo marca HANNA en alícuotas = de 25 ml de líquido de gobierno. El análisis de pH se efectu&oacut= e; en el Laboratorio de Alimentos del Tecnológic= o, Facultad de Ciencias Químicas. La valoración de glucosa y fructos= a se realizó en un cromatógrafo para líquidos de alta resolución marca JASCO, modelo CO-4061, con “loop” de inyección de 10 μl, valorándose dos veces al día dura= nte 7 días. Además, se realizó un pretratamiento del líquido de gobierno de cada muestra, que consisti= ó en diluir en agua ultra pura en una proporción (1:1), y una posterior filtración mediante una membrana grado HPLC de 0.45um, técnica adaptada de Macherey-Nagel (MACH= EREY-NAGEL, n.d.), análisis llevado a cabo en el Laboratorio de Ingeniería de Reactores y Catálisis de la Facultad de Ciencias Químicas.

<= /o:p>

2.4.        = Análisis de BAL

= En las muestras del mejor experimento fueron analizadas las bacterias ácido lácticas los días 1, 3 y 6 de fermentación. Se recolectaron 25 ml de líquido de gobierno en frascos estérile= s, en condiciones asépticas y fueron enviadas a un laboratorio externo<= /span> basá= ndose en el método Mossel para la determinación de las BAL.

2.5.      = = Modelo cinético de la fermentación láctica<= span lang=3DES-EC style=3D'font-size:9.0pt;mso-fareast-font-family:Calibri;mso-f= areast-theme-font: minor-latin;color:black;mso-ansi-language:ES-EC'>

= Para poder predecir la rapidez de desaparición o consumo de reactante, es decir el grado de influencia de los azúcares en la fermentació= ;n láctica se determinó la cinética química de la reacción a través del método integral (Levenspiel, 1979). Para un sistema disco= ntinuo de volumen constante, la medida de la velocidad de reacción del reac= tivo A corresponden a las Ecs. (2 y 3).

=

= Donde: -= es la velocidad de desaparici&oacut= e;n de la reacción fermentativa (g/ml.min), k la constante cinética,= C_Ala concentración de reactante A (g/ml), y n el orden de reacción (puede tomar valores de 0, 1, 2).

<= /p>
A partir de l= a Ec. (4),<= /p>

se obtiene, la integral que rep= resenta la sumatoria del consumo del reactante A, Ec. (5).

=

= La Tabla 3 muestra la Ec. (3) y Ec. (5) desarrolladas, que corresponden a los órdenes = 0, 1 y 2, de velocidad de reacción.

= Luego, se grafica la integral de la ecuación cinética en el eje de l= as ordenadas vs el tiempo de reacción en el eje de las abscisas. Para la gráfica de cada orden de reacción se obtiene el coeficiente de correlación de Pearson (R²) y la pendiente de la recta por medio del método de mínimos cuadrados, si los datos no se dis= tribuyen sobre una recta ha de rechazarse la ecuación cinética. Finalmente, se escoge el orden de reacción cuyo coeficiente de correlación tenga un valor lo más próxi= mo a uno que significa un ajuste lineal más fuerte. La pendiente representará la constante cinética de la reacción (k).=

<= /o:p>

<= /o:p>

3.&n= bsp;           RESULTADOS Y DISCUSI&Oac= ute;N

=

3.1.=         Pretratamiento

= Con respecto a los ocho experimentos llevados a cabo, los ensayos seis y ocho mostraron un medio con un pH apropiado, p= ero se seleccionó el ensayo seis, por ser el mejor experimento y llevarse a cabo en menor t= iempo de fermentación de 14 días, a una temperatura de 25^{oC
y una concentración del 3% de sal marina (Tabla 4). Esta
concentración de sal}facilitó la penetración a = los tejidos vegetales y salida de los carbohidratos, compuestos nitrogenados, minerales y otras sustancias que son utilizadas durante la fermentaci&oacut= e;n (Montano et al., 1992). Se verifica estudios realizados por Garrido (Garrido, Alarcón, Medina, Ordoñez, & Pérez, 2016) que muestran una relación directa entre la sal añadida y las propiedades físico químicas del alimento, un mayor porcentaje= de sal provoca que los alimentos pierdan agua por presión osmóti= ca y generen una microbiota-mixta en la que predominan las bacterias láct= icas, las que acidifican el medio y bajan el pH = (Prescott, Harley, & Klein, 2004).

En este estu= dio se determinó que el pH óptimo fue de 3.67 a una temperatura de 25ºC, al revisar la literatura llevada a cabo en otras investigaciones= de col fermentada se observa valores de pH por debajo de 4 en la primera seman= a de fermentación (Garrido et al., 2016), en aceitunas el rango estipulado fue entre 3.8 y 4.2 (Leiva Fernández, Aranciba Araya, & T= apia Contreras, 2015) para que exista el desarrollo de las BAL y evite el crecimiento superficial de mohos y levaduras, en otro estudio realizado en = el mosto de Agave cocui se determinó que las condiciones óptimas= se dan a una temperatura de 33°C y un valor de pH óptimo de 4 (Granadillo & Rodríguez, 2014). Así mismo en tallos de espárragos (Palomino & Meza, 2017) muestra valores de pH entre 3.8 a 3.95.=

3.2.=         Análisis de pH, glucosa, fructosa y BAL

= Al replicar el mejor experimento, se observó que en los primeros siete días (10080 minutos) de la fermentación, el pH desciende de 5.72 a 3.60 (Tabla 5), manteniéndose este último valor constante hasta el día 14, estudios realizados p= or Garrido et al. (2016) corroboran q= ue un descenso importante de pH se realiza en la primera semana de fermentaci&oac= ute;n, razón por la cual los análisis se llevaron a cabo en los primeros siete días de la fermentación como se detallan en la Sección 2.3 y 2.4.

= En la Tabla 5, se presentan los resultados de los análisis de glucosa y fructosa. La primera observación que se puede realizar es = que la concentración de glucosa y fructosa en el tiempo de fermentación presentan variaciones (Fig. 1). A partir del minuto 4320 (84 horas) comienza el desce= nso de glucosa y fructosa, desde este momento se analizó la velocidad de reacción. Estas variaciones se deben a que el repollo, dentro de sus carbohidratos, también co= ntiene fibra (celulosa), la cual se transforma en azúcares y esto hace que aumente la concentración de las mismas en el producto (Holland et al., 2014), el repollo contiene 3.4 g de carbohidratos y 2 g de= fibra por cada 100 g de porción comestible, pero no se detalla la cantidad existente por tipo de azúcar.

Todos los ve= getales proporcionan glucosa y fructosa como los principales carbohidratos fermenta= bles que se podrían metabolizar en ácido láctico (Wouters, Grosu-Tudor, Zamfir, & De Vuyst, 2= 013). En el presente estudio se corrobora lo mencionado ya que entre los dos carbohidratos la fructosa fue el principal carbohidrato que influye en la velocidad de reacción, luego de reali= zar los análisis respectivos.

<= /o:p>

=

=

= <= /span>

Ademá= s, en la Tabla 5, se evidencia los recuentos microbianos= de BAL realizados durante los días 1 (1440 minutos), 3 (4320 minutos) y= 6 (8640 minutos) de fermentación láctica que muestran la presen= cia de los microorganismos en concentraciones de 8.8x10⁸ UFC/ml al f= inal de la primera semana de fermentación láctica. En estud= ios realizados a concentraciones celulares de 10⁶ UFC/ml de bacterias ácido lácticas presentes en la col fermentada se evidencia me= jora del sistema inmune en especies que los ingiere (Garrett et al., 2003) (Garrido et= al., 2016)). Por otro lado, estos microorganismos impiden el crecimiento = de otros perjudiciales y a la vez generan compuestos químicos con efecto conservante (Di Cagno, Coda, De Angelis, &= amp; Gobbetti, 2013). En pepinillos se ha podido comprobar mediante técnicas de microscopía electrónica que las bacterias ácido lácticas tambi&eac= ute;n se desarrollan en el interior de los frutos después de su colocación en salmuera (Sáenz, 1983).

Por otro lad= o, se han desarrollado combinaciones de tecnologías innovadoras que incluy= en sistemas como las bacterias ácido lácticas (BAL) que ofrecen alternativas eficientes para alargar la vida útil y al mismo tiempo incrementar la seguridad de los alimentos, evitando alterar las cualidades nutricionales y sensorial es uno de los aspectos más importantes en = la decisión de compra (Garrett et a= l., 2003), haciendo que los productos fermentados como la col blanca, se= an en general más apetitosos y digeribles (Di Cagno, Coda, De Angelis, & Gobbetti, 2013).

3.3.      = Modelo cinético de la fermentación láctica

= Se realizaron regresiones lineales ajustadas a la relación del consumo = de glucosa vs el tiempo de fermentación láctica, en donde se muestran las ecuaciones y sus respectivos coeficientes de correlación (Fig. 2). Los resulta= dos se presentan en la Tabla 6.

= Al comparar los coeficientes de correlación de la glucosa para cada ord= en de reacción, se eligió a 0.98 por tener el mejor ajuste lineal, y que corresponde a un orden de reacció= ;n cero y a una constante cinética 2x10^-6 g/ml.min. Al reemplazar estos valores en la Ec. (3), se determina que la velocidad de reacci&oacu= te;n (= ) es independiente de la concentración de la glucosa, Ec= . (6).

<= /p>
= <= /span>

<= /p>
<= /p>
Donde: en g/ml.min

Para el caso = de la fructosa (Fig. 3), se replica el mismo proceso de análisis que para la gluco= sa. Los resultados se encuentran en la Tabla 7.<= o:p>

= Al comparar los coeficientes de correlación de la fructosa para cada or= den de reacción, se eligió a 0.98 por tener el mejor ajuste lineal, y que corresponde a un orden de reacció= ;n dos y a una constante cinética 1.45x10^{-2 ml/g.min. Al reemplazar estos valores en la}Ec. (3), se determina que= la velocidad de reacción (= ) de acuerdo a= Ec. (7), es:

Donde: en g/ml.min

= Así, la Ec. (7), se convie= rte en un modelo cinético cuando se quiere obtener la velocidad de consumo = de azúcares en una reacción de fermentación láctica natural de repollo o col blanca.

<= /o:p>

= <= /span>

<= /p>
= <= /p>

=

=

= Desde el punto de vista cinético, se puede indicar que la velocidad de fermentación láctica natural desarrollada en col blanca es independiente de la concentración de glucosa, pero si es influenciada por la degradación de la fructosa como puede observarse con los órdenes de reacción obtenidos. En el presente estudio, el modelo desarrollado se basa en la cinética de las reacciones químicas, sin embargo, hay que considerar que un alimento es un sist= ema complejo en el que ocurren diferentes tipos de reacciones, por ello, la modelación, no solo se puede aplicar a un reactante o componente particular sino a una característica de calidad que refleje dichas reacciones (Salinas-Hernández et= al., 2007).

Finalmente, la aplicación de di= chos modelos matemáticos descritos en este estudio predicen el comportami= ento de la reacción química de la col blanca que conllevan a mejor= ar el diseño de fermentadores en el campo industrial para aumentar la productividad, y al estudiar la velocidad de reacción, éste n= os permite conocer la degradación de nutrientes del alimento en el tiem= po, sin dejar de lado que la materia prima empleada en esta investigació= n al ser un vegetal es percibido como un producto saludable, rico en vitaminas, minerales y antioxidantes (Gil, Aguayo, & Kader, 2006), convirtiéndolo en un alimento beneficioso para la salud, sin olvidar que el proceso además de preservar al producto crea enzimas necesarias para la digestión (Parra Huertas, 2010).

Es conveniente continuar con estudios = de este tipo, para determinar el tiempo de vida útil (Carrillo Inungaray & Reyes Munguía, 2014) de la col blanca fermentada con el fin de garantizar sus cualidades físico químicas y microbiológicas de acuerdo a las condiciones obten= idas en este estudio. Así mismo, este producto se convertiría en un alimento probiótico (Ramírez, Rosas, Velázquez, Ulloa, & Arce, 2011) con propiedades funcionales muy importantes a analizar.

4.  &nbs= p;      CONCLUSIÓN=

El diseño experimental permitió determinar las condiciones óptimas de la fermentación láctica del repollo o col blanca que mejor&oacut= e; la conservación de este vegetal fresco, que más allá d= e su sabor tan particular le convierte en un alimento probiótico con la proliferación de bacterias beneficiosas para la flora intestinal. Es importante señalar que la metodología aplicada en este estudio cinético se puede replicar en otros vegetales de la especie Brassica olerácea = L. variedad coliflor, brócoli, col china, repollo morado, col de bruselas, etc., en los cuales no existen estudios pre= vios y así conocer de mejor manera el comportamiento de la reacción química. Finalmente, los modelos cinéticos obtenidos de cero y segundo orden mostraron la velocidad de degradación de los azúcares en función del tiempo de fermentación láctica que resultó dependiente de la concentración de fructosa, de esta manera se convierte en un modelamiento para mejorar los procesos de producción.

AGRADECIMIENTOS<= /p>

Los autores agradecen el apoyo técnico de Raúl Peláez Samaniego (PhD), docente e investigador de la Facultad de Ciencias Químicas.<= /p>

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MASKANA, Vol. 11, No. 1, 48-56, 2020

https://publicaciones.ucuenca.edu.ec/ojs/index.php/maskana/article/view/= 3150

doi: = 10.18537/= mskn.11.01.05

© Author(s) 2= 020. CC Attribution 4.0 License.

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MASKANA, Vol. 8, No. = 2, 2017

MASKANA, Vol. 11, No. 1, 48-56, 2020

https://publicaciones.ucuenca.edu.ec/ojs/index.php/maskana/article/view/= 3150

doi: = 10.18537/= mskn.11.01.05

© Author(s) 2= 020. CC Attribution 4.0 License.

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  Pu= blicado por DIUC - Dirección de Investigación de la Universidad de Cuenca       = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp; 49

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de ferment= ación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 48-56, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        58

MASKANA, Vol. 8, No. = 2, 2017

D. Zúñiga-García et al: Cinética de fermentación láctica natural de col blanca

MASKANA, Vol. 11, No. 1, 49= 211;57, 2020

doi: 10.18537/= mskn.11.01.05        = ;            &n= bsp;            = ;    &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;            &n= bsp;            = ;        2

MASKANA, Vol. 8, No. = 2, 2017

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