Sustainability Journal (MDPI)

2009 | 1,010,498,008 words

Sustainability is an international, open-access, peer-reviewed journal focused on all aspects of sustainability—environmental, social, economic, technical, and cultural. Publishing semimonthly, it welcomes research from natural and applied sciences, engineering, social sciences, and humanities, encouraging detailed experimental and methodological r...

Effect of Tumbling Conditions on the Tendinous and Tenderness Index of...

Author(s):

Sylwia Mierzejewska
Faculty of Mechanical Engineering, Koszalin University of Technology, 75-620 Koszalin, Poland
Jarosław Diakun
Faculty of Mechanical Engineering, Koszalin University of Technology, 75-620 Koszalin, Poland
Mariusz Seńcio
Faculty of Mechanical Engineering, Koszalin University of Technology, 75-620 Koszalin, Poland
Joanna Piepiórka-Stepuk
Faculty of Mechanical Engineering, Koszalin University of Technology, 75-620 Koszalin, Poland


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Year: 2023 | Doi: 10.3390/su15010273

Copyright (license): Creative Commons Attribution 4.0 International (CC BY 4.0) license.


[Full title: Effect of Tumbling Conditions on the Tendinous and Tenderness Index of Chicken Leg Meat]

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[Summary: This page presents the citation information for the study, including authors, journal, and publication date. It also includes the abstract, which summarizes the study's findings on how tumbling conditions affect chicken leg meat texture. Keywords are listed. The introduction provides background on meat tenderness and the importance of tumbling.]

Citation: Mierzejewska, S.; Diakun, J.; Se ´ncio, M.; Piepiórka-Stepuk, J. Effect of Tumbling Conditions on the Tendinous and Tenderness Index of Chicken Leg Meat Sustainability 2023 , 15 , 273. https://doi.org/10.3390/ su 15010273 Academic Editor: Flavio Boccia Received: 14 November 2022 Revised: 12 December 2022 Accepted: 20 December 2022 Published: 23 December 2022 Copyright: © 2022 by the authors Licensee MDPI, Basel, Switzerland This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/) sustainability Article Effect of Tumbling Conditions on the Tendinous and Tenderness Index of Chicken Leg Meat Sylwia Mierzejewska, Jarosław Diakun, Mariusz Se ´ncio and Joanna Piepi ó rka-Stepuk * Faculty of Mechanical Engineering, Koszalin University of Technology, 75-620 Koszalin, Poland * Correspondence: joanna.piepiorka@tu.koszalin.pl Abstract: This article presents the results of the effect of chicken leg meat tumbling parameters on its texture, as assessed by the tendinous-tenderness index K Z-S , where the value of K Z-S = 1 index means maximum tendinous—no tenderness and the value of K Z-S = 0 means no tendinous—maximum tenderness. The tumbling of the meat was performed in an agitator-tilt tumbler. The variable factors of the tumbling process were temperature (T), time ( τ ), rotational speed ( ω ) and angle of the tumbler drum inclination ( α ). The meat texture was tested using the universal testing machine TMS-Pro with a Warner–Bratzler knife. The results of the study were described using second-degree polynomial correlation functions with couplings and presented in the form of diagrams. The effect of the favorable reduction of the tendinous in favor of the tenderness of meat is most significantly influenced by the angle of the inclination of the drum of the tumbler and the time of massage. The optimal results for the tendinous-tenderness index K Z-S were obtained for the angle of the inclination of the drum of the tumbler α = 45 ◦ and tumbling duration τ = 50 min. For such tumbling parameters, the index K Z-S = 0.25 (reduced meat tendons). It is unfavorable, whereas massage tumbling at T = 0 ◦ C, compared to higher and lower temperatures of massaging. The effect of the agitator speed ω depends on the time and temperature. The research results showed that the most favorable effects of the tendinous loss in favor of the tenderness, determined by the tendinous-tenderness index K Z-S , are obtained by the tumbling condition with high a high angle of inclination of the tank ( α > 45 ◦ ), a low value of the rotational speed ( ω < 12 [1/min]), a longer time ( τ > 50 min) and a temperature different from 0 ◦ C Keywords: meat tumbling; meat texture; tendinous-tenderness index 1. Introduction Meat and meat products are an important source of protein in human diets, and their consumption depends on socio-economic factors, ethics or religious beliefs, and tradition. Many studies show that consumers prefer more tender and sometimes juicier meat, with moderate firmness and not exhibiting tendinous characteristics [ 1 , 2 ]. These are meat characteristics strongly correlated with the overall perceived quality and intention and readiness for purchase. In this context, the important components of meat are the water in its structure and the form of its tendinous components [ 3 ]. It is beneficial to keep water in the structure of the meat tissue. The water in the meat should be bound, it should not be perceptible as free water causing leakage. It is unfavorable to lose water during the thermal processing, that influences on the hardness of the texture and consequently lowers the sensory acceptability of the final product [ 4 , 5 ]. In order to bind water in the meat structure and maintain its juiciness, curing and marinating is carried out, and an important part of the meat processing is tumbling. The tumbling is a frequently used technology that improves the texture of meat products and helps achieve the tenderization under mechanical forces (e.g., friction, extrusion and impact forces). The tumbling actions enlarge the intercellular space within the tissues, that reduces the mechanical strength of the myofibers, accelerates the permeation and diffusion of saline Sustainability 2023 , 15 , 273. https://doi.org/10.3390/su 15010273 https://www.mdpi.com/journal/sustainability

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[Summary: This page discusses the desirable qualities of chicken meat and the role of tumbling in improving texture. It cites previous studies on chicken meat tumbling and highlights the gap in research regarding comprehensive evaluation of tumbler effectiveness. The objective is to determine how tumbler settings influence meat texture, evaluated by the tendinous and tenderness index.]

Sustainability 2023 , 15 , 273 2 of 10 ions and breaks the myofilaments (cellular damage). These mechanical forces also help rearrange the distribution of the moisture within the muscular tissues [ 3 , 6 ]. Chicken meat is one of the most desirable meats, due to its low price and its good nutritive value, because of the presence of high-quality protein, a low amount of fat, a high amount of unsaturated fatty acids and relatively less saturated fatty acids. Chicken leg meat, compared to that from the breast, has a richer protein composition [ 5 ]. The collagen components, which are contained in the tendinous elements of the connective tissue are particularly valuable. However, the tendinous elements are not acceptable to consumers. They are malleable, hard and cause difficulty in chewing. In order to achieve a proper sensory acceptability, meat with connective tissue elements requires appropriate processing for the formation of its texture. The tumbling process makes it possible to obtain the more favorable characteristics of the product, from chicken leg meat that contains connective tissue tendinous elements. Through tumbling, the original tendinous, malleable texture can be transformed into a tender texture that is sensorily acceptable [ 7 – 9 ]. There are a few studies related chicken meat tumbling. Studies taking into account the time of tumbling, were conducted by Gurikar et al. [ 10 ]. They assessed the effect of tumbling on the technological performance of meat block products. Bharti et al. [ 7 ] and Lee et al. [ 8 ] evaluated the effect of chicken meat tumbling on the improvement of the sensory quality, but Yadav et al. [ 11 ] and Singh et al. [ 4 ] assessed the effect of tumbling on the texture of goat meat, determined by the force measurement in the Warner–Bratzler test The effect of the varying temperatures in the tumbling treatment, on the fat and protein structures of chicken meat, was evaluated in [ 8 , 9 , 12 – 14 ]. Kim studied the effects of time and temperature in the tumbling operation on the firmness and technological yield of chicken meat [ 12 ], while Li studied the effects of these parameters on the degree of leakage [ 9 ]. Xargay ó conducted research on the effects of the agitator speed and tumbling time on the hardness and sensory properties [ 15 ]. Zhaoming, in his article, presented the results of evaluations of the effects of time and speed of rabbit meat tumbling on the technological performance [ 16 ]. The research by Dolata concerned tumbling using different agitator designs [ 17 , 18 ]. In the above mentioned publications, the results of the influence of the single parameters of the tumbling process on the selected meat properties were present. On this basis, it is not possible to comprehensively evaluate the effectiveness of the tumbler This article presents the results of a study on the efficiency of tumbling in an agitator tumbler. This design variation of the tumbler, in comparison with typical drum tumblers, has great possibilities for selecting the parameters of the tumbling process. The program includes a study of the simultaneous influence of the four factors of the tumbling process (the angle of inclination of the tumbler tank, the agitator speed, the tumbling time, the temperature in the tumbler tank). This made it possible to analyze the influence of the tumbling process factors on the effect of the tumbling. The obtained results allow for the identification of favorable operating parameters The presented article is a further elaboration of the results of the research, which were presented in [ 19 – 22 ], where the use of multiple discriminators to evaluate the tumbling effect was analyzed and where the statistical significance of the impact of the tumbler setting parameters on the tumbling effect was analyzed Meat obtained from a chicken leg was subjected to a tumbling treatment. The aim of the study was to determine, to what extent the setting parameters of the stirrer tumbler in the tumbling treatment, influenced the change in the meat texture. The texture was evaluated by the tendinous and tenderness index, which determines the favorable direction of change from a tendinous and ductile form to an acceptable tender form. The tendinoustenderness evaluation method, developed by the authors and presented in [ 20 , 21 ], was used. In a previous study [ 22 ] it was shown that the tendinous-tenderness index, compared to other texture indicators, is the most distinctive and effective in assessing the effectiveness of tumbling.

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[Summary: This page details the materials and methods used in the study, including the source of chicken leg meat and the equipment used for tumbling. It describes the tumbling process, including vacuum conditions and temperature stabilization. The determination of the tendinous-tenderness index using a Warner–Bratzler knife is explained. The range of tumbling variable factors is specified.]

Sustainability 2023 , 15 , 273 3 of 10 2. Materials and Methods The material for the test was deboned chicken leg meat. The material was obtained from a certified supplier (according to the declaration—the poultry breed wasDominant White Cornish, aged 6–8 weeks, and before the purchase, the meat was stored at the temperature T = 2 ◦ C for one day). An agitator-tilt vacuum tumbler with a capacity of 150 L was used for the tumbling (Figure 1 a). Portions of the tumbled meat had a weight of 30 kg. The tumbling process was carried out under vacuum conditions of 90–95%. The meat in the barbecue grill fix functional marinade was thermally stabilized to the specified temperature, according to the test program, for 8 h. Then it was tumbled. Following the tumbling process, the stabilization was carried out for 6 h at 4 ◦ C and then the samples were taken for the meat evaluation Sustainability 2023 , 15 , x FOR PEER REVIEW 3 of 10 used. In a previous study [22] it was shown that the tendinous-tenderness index, compared to other texture indicators, is the most distinctive and effective in assessing the effectiveness of tumbling. 2. Materials and Methods The material for the test was deboned chicken leg meat. The material was obtained from a certified supplier (according to the declaration—the poultry breed wasDominant White Cornish, aged 6–8 weeks, and before the purchase, the meat was stored at the temperature T = 2 °C for one day). An agitator-tilt vacuum tumbler with a capacity of 150 L was used for the tumbling (Figure 1 a). Portions of the tumbled meat had a weight of 30 kg. The tumbling process was carried out under vacuum conditions of 90–95%. The meat in the barbecue grill fix functional marinade was thermally stabilized to the specified temperature, according to the test program, for 8 h. Then it was tumbled. Following the tumbling process, the stabilization was carried out for 6 h at 4 °C and then the samples were taken for the meat evaluation. The determination of the tendinous-tenderness index (K Z-S ) was carried out, according to the methodology developed by [21] using specimens (1 cm × 4 cm × 3 cm) cut with a Warner–Bratzler knife (Figure 1 b). The tendinous-tenderness index was determined over a range of values from K Z-S = 1 (maximum tendinous, zero tenderness), to a value of K Z-S = 0 (zero tendinous, maximum tenderness). A texture analyzer (TMS-Pro, Food Technology Corporation—FTC company, West Sussex, VA, USA, type 432–240) was used to sample the cut meat. Figure 1. Elements of the research and measurement methods: ( a ) agitator-tilt tumbler with the tumbling meat portion (Inwestpol-Consulting MA 150 company, Gda ń sk, Poland), ( b ) meat sample subjected to cutting with a Warner–Bratzler knife. The range of the tumbling variable factors (test program) included the following values of the tumbler operating parameters: • angle of the tank α [ o ] changed in the range: 15, 30, 45, 50, 75; (for the vertical axis setting α = 0°, there is a mild, low intensity impact, for horizontal axis setting α =90°, there is an intense impact on the tumbled meat); • stirrer rotation speed ω [1/min] changed in the range: 2, 7, 12, 17, 22; • meat temperature T [°C] changed in the range: − 6, − 3, 0, +3, +6; • massaging time τ [min] changed in the range: 10, 30, 50, 70, 90. Figure 1. Elements of the research and measurement methods: ( a ) agitator-tilt tumbler with the tumbling meat portion (Inwestpol-Consulting MA 150 company, Gda ´nsk, Poland), ( b ) meat sample subjected to cutting with a Warner–Bratzler knife The determination of the tendinous-tenderness index (K Z-S ) was carried out, according to the methodology developed by [ 21 ] using specimens (1 cm × 4 cm × 3 cm) cut with a Warner–Bratzler knife (Figure 1 b). The tendinous-tenderness index was determined over a range of values from K Z-S = 1 (maximum tendinous, zero tenderness), to a value of K Z-S = 0 (zero tendinous, maximum tenderness). A texture analyzer (TMS-Pro, Food Technology Corporation—FTC company, West Sussex, VA, USA, type 432–240) was used to sample the cut meat The range of the tumbling variable factors (test program) included the following values of the tumbler operating parameters: • angle of the tank α [ ◦ ] changed in the range: 15, 30, 45, 50, 75; (for the vertical axis setting α = 0 ◦ , there is a mild, low intensity impact, for horizontal axis setting α = 90 ◦ , there is an intense impact on the tumbled meat); • stirrer rotation speed ω [1/min] changed in the range: 2, 7, 12, 17, 22; • meat temperature T [ ◦ C] changed in the range: − 6, − 3, 0, +3, +6; • massaging time τ [min] changed in the range: 10, 30, 50, 70, 90 In the full name of the parameter, the word notation is in bold, which will be abbreviated in the following text. In the list of parameter values of the test program, the central values are in bold.

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[Summary: This page outlines the experimental design, including the number of tumbling operations and the use of Statistica software. It presents the approximation function used to analyze the influence of tumbling factors, including the significance level and elimination of non-significant components. The level of approximation is characterized by the coefficient of determination and correlation coefficient. Normalization of the tendinous-tenderness index is described.]

Sustainability 2023 , 15 , 273 4 of 10 Taking into account all of the configurations of the parameter values of the tumbler, this test program (full, static) included 256 runs of the tumbling operations. The test program was carried out for a combination of the parameter value layout, which was generated in the DOE (design of experiment) module in Statistica 10 QC (quality control) software for a stellar, orthogonal, two-level plan. Nineteen sets of the tumbler parameter layouts were generated. In the test plan, there are three runs of tumbling for the values of the central parameters (three repetitions), which were distinguished in the summary with bold recorded values. From each run of the tumbling operation, three to five samples of meat, subjected to testing, were cut for the determination of tendinous-tenderness index Approximation Function and the Statistical Methods The analysis of the influence of the tumbling factors is described by a mathematical model of approximation (correlation) with the form of a second-degree polynomial function (quadratic function) with couplings The general notation of a quadratic function with couplings is of the form: K Z-S = a 01 + b 11 α + b 21 ω + b 31 T + b 41 τ + c 1 α 2 + c 2 ω 2 + c 3 T 2 + c 4 τ 2 + d 1 α ω + + d 2 α T + d 3 α τ + d 4 ω T + d 5 ω τ + d 6 T τ (1) The components of the first-degree function take into account the proportional interactions. The components of the second degree (second power) inform about the amplification of the impact of a parameter, in relation to the proportional impact, and indicate the possible presence of an extreme (optimum). The coupled parameter interactions provide evidence of the significance of the impact of a specific parameter in combination with another The coefficients a, b, c, and d, are the calculated coefficients of the regression equations The Statistica 10 QC program was used for the calculation and the statistical analysis. Assuming a significance level of α = 0.05 and eliminating the non-significant components, the approximation function is of the form (the significance analysis procedure is presented in [ 20 – 22 ]: K Z-S = 0.889 − 0.825 · ( α − 45)/15 − 0.679 · ( τ − 50)/20 − 0.343( T /3) 2 + + 0.996 · (( α − 45)/15 · ( ω − 12)/5) + 1.653 · (( T /3) · ( τ − 50)/20) (2) The approximation function takes into account the influence of all of the factors studied There is a linear (proportional) influence of the angle of inclination of the tumbler tank ( α ), the tumbling time ( τ ) and the quadratic (second power) character of the influence of the temperature (T). There are two expressions to account for the coupled effects of the angle ( α ) with the speed ( ω ) and the temperature (T) with the time ( τ ). The level of approximation of the measurement results is characterized by the coefficient of determination R 2 = 0.30 and the correlation coefficient r = 0.55. Their values indicate a sufficient level of correlation of the approximation function to the measurement results. Only a sufficient level of correlation is due to the fact that the material subjected to the tumbling process (chicken leg meat) is characterized by a high heterogeneity of the histological structure. It contains elements of pure meat tissue, fragments of tendons, and skin. The individual samples were characterized by a large variation in the texture. This is a natural feature of this meat (research material) The approximation function (Equation (2) of the tendinous-tenderness index K Z-S , within the range of variation of the test factors, takes on the values that exceed the permissible range of values (0–1), implied by the definition of the coefficient. This is due to the mathematical form of the function (second-degree polynomial), which can take a wide range of values. In order to obtain the analyzed tendinous-tenderness index (K Z-S ) within the acceptable range of values (0–1), its normalization was carried out with a function from the Statistica program catalog of the form: Z = exp (Y − 0.5)/(1 + exp (Y − 0.5)) (3)

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[Summary: This page explains the normalization process of the tendinous-tenderness index to ensure values remain within the acceptable range of 0-1. A graphical illustration demonstrates the transformation, highlighting the overlap between original and normalized values. The results section introduces Figures 3-6, illustrating the influence of tumbling parameters on the tendinous-tenderness index.]

Sustainability 2023 , 15 , 273 5 of 10 The original magnitude of K Z-S in Equation (2) is denoted by Y, while the corrected magnitude (normalized to a range of 0–1) is denoted by Z. The magnitude of Y can take values in the range from ( − ) infinity to (+) infinity, and after the correction (normalization), the values of Z are limited to the range (0–1). The nature of the transformation is shown graphically in Figure 2 . There is an overlap of the original and normalized values in the center (for Y = 0.5 there is Z = 0.5) and the proportionality of the transformation in the range of the original value of the range from Y = 0 to Y = 1 and the corrected value of the range from Z = 0.25 to Z = 0.75. When this range of Y values is exceeded (unacceptable due to the physical, interpreted sense), the value of the normalized function Z is pulled down to an acceptable range (0–1) Sustainability 2023 , 15 , x FOR PEER REVIEW 5 of 10 the acceptable range of values (0–1), its normalization was carried out with a function from the Statistica program catalog of the form: Z = exp (Y − 0.5)/(1 + exp (Y − 0.5)) (3) The original magnitude of K Z-S in Equation (2) is denoted by Y, while the corrected magnitude (normalized to a range of 0–1) is denoted by Z. The magnitude of Y can take values in the range from ( − ) infinity to (+) infinity, and after the correction (normalization), the values of Z are limited to the range (0–1). The nature of the transformation is shown graphically in Figure 2. There is an overlap of the original and normalized values in the center (for Y = 0.5 there is Z = 0.5) and the proportionality of the transformation in the range of the original value of the range from Y = 0 to Y = 1 and the corrected value of the range from Z = 0.25 to Z = 0.75. When this range of Y values is exceeded (unacceptable due to the physical, interpreted sense), the value of the normalized function Z is pulled down to an acceptable range (0–1). Figure 2. Graphic illustration of the normalization of a function to a range of values (0–1). 3. Results The nature of the influence of the tumbling parameters on the value of the tendinoustenderness index, described by the approximation function Equation (2) and normalized to the range of values 0–1, according to (3), is illustrated graphically in Figures 3–6. The obtained results indicate that the tumbling conditions significantly influenced the tendinous-tenderness index, which is consistent with [3,12]. The graphic forms of the approximation function in the figures take into account the influence of only two out of four (T, α , τ , ω ) variable parameters of the tumbling process. The parameters not included in the figures are taken as constants with an average value from the test program (values in bold in the list of test program parameter values). Due to the nature of the assumed values of the parameters of the test program, the values of the approximation functions in the corners of the graphs are unreliable (in this field, there is no coverage of the test points, the function has the nature of extrapolating the values). In the approximation figures, a circle or oval indicates the extent of the field adopted for the analysis. The lines indicate the basic analyzed cross sections and the ranges of the nature of the variation of the parameters of the test program settings and the obtained values of the tendinous-tenderness index (K Z-S ). The green fields in the figures illustrate the favorable areas of low tendinous in favor of the tenderness values, obtained as a result of tumbling. Figure 2. Graphic illustration of the normalization of a function to a range of values (0–1) 3. Results The nature of the influence of the tumbling parameters on the value of the tendinoustenderness index, described by the approximation function Equation (2) and normalized to the range of values 0–1, according to (3), is illustrated graphically in Figures 3 – 6 . The obtained results indicate that the tumbling conditions significantly influenced the tendinoustenderness index, which is consistent with [ 3 , 12 ]. The graphic forms of the approximation function in the figures take into account the influence of only two out of four (T, α , τ , ω ) variable parameters of the tumbling process. The parameters not included in the figures are taken as constants with an average value from the test program (values in bold in the list of test program parameter values). Due to the nature of the assumed values of the parameters of the test program, the values of the approximation functions in the corners of the graphs are unreliable (in this field, there is no coverage of the test points, the function has the nature of extrapolating the values). In the approximation figures, a circle or oval indicates the extent of the field adopted for the analysis. The lines indicate the basic analyzed cross sections and the ranges of the nature of the variation of the parameters of the test program settings and the obtained values of the tendinous-tenderness index (K Z-S ). The green fields in the figures illustrate the favorable areas of low tendinous in favor of the tenderness values, obtained as a result of tumbling.

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[Summary: This page presents diagrams illustrating the tendinous-tenderness index function based on different tumbling parameters. Figure 3 shows the function depending on angle and time, while Figure 4 shows it depending on agitator speed and temperature. These diagrams visually represent the relationships between the tumbling conditions and the resulting meat texture.]

Sustainability 2023 , 15 , 273 6 of 10 Sustainability 2023 , 15 , x FOR PEER REVIEW 6 of 10 Figure 3. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle ( α ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot. Figure 4. Diagrams of the tendinous-tenderness index K Z-S function depending on the agitator speed ( ω ) and the temperature ( T ): ( a ) spatial diagram, ( b ) contour plot. Figure 3. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle ( α ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot Sustainability 2023 , 15 , x FOR PEER REVIEW 6 of 10 Figure 3. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle ( α ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot. Figure 4. Diagrams of the tendinous-tenderness index K Z-S function depending on the agitator speed ( ω ) and the temperature ( T ): ( a ) spatial diagram, ( b ) contour plot. Figure 4. Diagrams of the tendinous-tenderness index K Z-S function depending on the agitator speed ( ω ) and the temperature ( T ): ( a ) spatial diagram, ( b ) contour plot.

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[Summary: This page presents diagrams illustrating the tendinous-tenderness index function based on different tumbling parameters. Figure 5 shows the function depending on the angle of inclination and rotational speed. Figure 6 shows the function depending on the temperature and time. The discussion section begins by analyzing the impact of angle and tumbling time on tendinous loss.]

Sustainability 2023 , 15 , 273 7 of 10 Sustainability 2023 , 15 , x FOR PEER REVIEW 7 of 10 Figure 5. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle of inclination of the tumbler drum ( α ) and the rotational speed of the agitator ( ω ): ( a ) spatial diagram, ( b ) contour plot. Figure 6. Diagrams of the tendinous-tenderness index K Z-S function, depending on the temperature ( T ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot. 4. Discussion From the course of the function in Figure 3, it can be seen that it is advantageous, due to the loss of tendinous, in favor of tenderness, to tumble using higher values of the angle of inclination of the tumbler tank ( α ) and the tumbling time ( τ ). The nature of the function course indicates a comparable beneficial effect for increasing the angle and increasing the time, on the tumbling effect. From the nature of the function’s plot (Figure 3 a), it can be seen that the highest intensity of change occurs in the middle range of the angle and time values. In the range of the average courses of variation, defined by the horizontal and Figure 5. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle of inclination of the tumbler drum ( α ) and the rotational speed of the agitator ( ω ): ( a ) spatial diagram, ( b ) contour plot Sustainability 2023 , 15 , x FOR PEER REVIEW 7 of 10 Figure 5. Diagrams of the tendinous-tenderness index K Z-S function, depending on the angle of inclination of the tumbler drum ( α ) and the rotational speed of the agitator ( ω ): ( a ) spatial diagram, ( b ) contour plot. Figure 6. Diagrams of the tendinous-tenderness index K Z-S function, depending on the temperature ( T ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot. 4. Discussion From the course of the function in Figure 3, it can be seen that it is advantageous, due to the loss of tendinous, in favor of tenderness, to tumble using higher values of the angle of inclination of the tumbler tank ( α ) and the tumbling time ( τ ). The nature of the function course indicates a comparable beneficial effect for increasing the angle and increasing the time, on the tumbling effect. From the nature of the function’s plot (Figure 3 a), it can be seen that the highest intensity of change occurs in the middle range of the angle and time values. In the range of the average courses of variation, defined by the horizontal and Figure 6. Diagrams of the tendinous-tenderness index K Z-S function, depending on the temperature ( T ) and the time ( τ ): ( a ) spatial diagram, ( b ) contour plot 4. Discussion From the course of the function in Figure 3 , it can be seen that it is advantageous, due to the loss of tendinous, in favor of tenderness, to tumble using higher values of the angle of inclination of the tumbler tank ( α ) and the tumbling time ( τ ). The nature of the function course indicates a comparable beneficial effect for increasing the angle and increasing the time, on the tumbling effect. From the nature of the function’s plot (Figure 3 a), it can be seen that the highest intensity of change occurs in the middle range of the angle and time values. In the range of the average courses of variation, defined by the horizontal and vertical lines in Figure 3 b, it becomes apparent that, for the unfavorable parameters of

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[Summary: This page continues the discussion, focusing on the influence of meat temperature and tumbler drum rotational speed on the tendinous-tenderness index. It analyzes the graphical illustrations, highlighting the coupling of different parameters and their effects on meat texture. The findings are compared with previous research, noting similarities and differences in results.]

Sustainability 2023 , 15 , 273 8 of 10 the tumbling process, the meat remains at the level of tendinous K Z-S = 0.65, while with favorable tendinous parameters decrease to the level of K Z-S = 0.2 (the tendinous difference in favor of tenderness, by a value of 0.45). The maximum range of the coefficient difference (K Z-S ) is illustrated by the diagonal line and is 0.6. The results coincided with the results of Mirade et al. [ 3 ] who showed that the tumbling mechanical effect, related to the device used, and the time of tumbling, are most impacted on the mass transfers. The vacuum is less important, in this respect The range of variation of the tendinous-tenderness index K Z-S , as a function of the meat temperature T and the rotational speed of the tumbler drum ω (Figure 4 ), shows a slight influence of these factors on the effect of the tumbling process. There is a range of K Z-S values from 0.15 to 0.45, i.e., the difference between the favorable and unfavorable tumbling conditions is 0.3. Similar results were obtained by Kim et al. [ 12 ], who did not find a significant difference in hardness, between 3 ◦ C and − 3 ◦ C, using the same amount of tumbling time (p > 0.05). The form of the function shows an unfavorable optimum of tumbling conditions on the obtained tendinous-tenderness index for the temperature of the massaged meat T = 0 ◦ C. The most favorable results for meat tumbling are obtained with lower (minus) and higher (plus) meat temperatures and a low value of the rotational speed of the tumbler. The largest range of variation in the K Z-S index, with values ranging from 0.47 to 0.12 (a difference of 0.35), is illustrated by the lines in Figure 4 b. The graphical illustration of the function in Figure 5 shows the significant coupling of the influence of the angle of inclination of the tumbler drum ( α ) and the rotational speed ( ω ). A favorable tendinous-tenderness minimum value occurs diagonally across the field of variation of α and ω . It is most favorable to use a large value of the angle α (characterizing the intensive nature of the impact on the meat) and a small value of the speed ω (characterizing the low-intensity nature of the impact on the meat). However, favorable effects on the tumbled meat are also obtained with a small value of the tank angle ( α ) (characterizing the low-intensive nature of the effect on the meat) and a high value of the speed ω (characterizing the intensive nature of the effect on the meat). The simultaneous use of the following α and ω settings is not favorable: the small values (low-intensive tumbling) and high values (very intensive tumbling). The maximum change in the tendinous-tenderness obtained, is illustrated by the lines in Figure 5 b. The value of the difference in the tendinous-tenderness index K Z-S , for the favorable and unfavorable tumbling conditions, is 0.6, and can be considered as significant Similar to Figure 5 , in Figure 6 , the graphical form of the approximation function shows the coupled effect from the temperature (T) and the time ( τ ). The fields of the favorable influence on the tumbling effect occur at a higher temperature (T) and a concomitant short amount of tumbling time ( τ ), and at lower temperature (T) and a concomitant extended tumbling time ( τ ). Kim et al. [ 12 ] reported that the improvement of textural properties, due to tumbling condition, is greatly associated with the degree of the myofibrillar protein solubility. The most unfavorable tumbling conditions are a low meat temperature and a short amount of time. The maximum range of differences in the favorable and unfavorable effects shown in the figure of the obtained tendinous-tenderness index, is 0.62—significant 5. Conclusions The values of the coefficient of determination R 2 = 0.30 and the correlation coefficient r = 0.55 prove the sufficient level of correlation of the approximation function to the measurement results The most favorable effects of the tendinous loss in favor of tenderness, determined by the tendinous-tenderness index, are obtained by tumbling: at a high angle of inclination of the tank, at a lower value of the rotational speed, for a longer amount of time, and not at a meat temperature around 0 ◦ C Prior to the tumbling, the meat obtained from the chicken leg is characterized by a high tendinous (tendinous-tenderness index K Z-S = 1, this was confirmed in the previous study after the pretreatment process of marinating). Prior to tumbling, K Z-S is about 0.85,

[[[ p. 9 ]]]

[Summary: This page presents the study's conclusions, emphasizing the sufficient level of correlation between the approximation function and measurement results. It summarizes the optimal tumbling conditions for achieving favorable tendinous loss and improved tenderness. Author contributions, funding information, and conflict of interest declarations are provided. References are listed.]

Sustainability 2023 , 15 , 273 9 of 10 then as a result of the tumbling process, the tendinous-tenderness index is obtained at the level of K Z-S = 0.2. This means a significant loss of tendinous in favor of tenderness, by a difference of 0.65 The study shows that the tumbling treatment makes it possible to improve the texture characteristics of the raw material for higher sensory acceptability, expressed in terms of a favorable loss of tendinous, which is not accepted by consumers, in favor of sensorily acceptable tenderness Author Contributions: Conceptualization, J.D.; methodology, M.S.; validation, S.M.; formal analysis, M.S.; investigation, M.S. and S.M.; resources, J.D. and J.P.-S.; data curation, M.S.; writing—original draft preparation, J.D. and. J.P.-S.; writing—review and editing, J.D. and J.P.-S.; visualization, J.P.-S.; supervision, J.D.; funding acquisition, S.M. and J.P.-S. All authors have read and agreed to the published version of the manuscript Funding: This research did not receive a specific grant from any a funding agency in the public, commercial, or not-for-profit sectors Institutional Review Board Statement: Not applicable Informed Consent Statement: Not applicable Data Availability Statement: Data is contained within the article Conflicts of Interest: The authors declare no conflict of interest References 1 Font-I-Furnols, M.; Guerrero, L. Consumer preference, behavior and perception about meat and meat products: An overview Meat Sci 2014 , 98 , 361–371. [ CrossRef ] [ PubMed ] 2 Straadt, I.K.; Aaslyng, M.D.; Bertram, H.C. Sensory and consumer evaluation of pork loins from crossbreeds between Danish Landrace, Yorkshire, Duroc, Iberian and Mangalitza Meat Sci 2013 , 95 , 27–35. [ CrossRef ] [ PubMed ] 3 Mirade, P.; Portanguen, S.; Sicard, J.; De Souza, J.; Ndob, A.M.; Hoffman, L.; Goli, T.; Collignan, A. Impact of tumbling operating parameters on salt, water and acetic acid transfers during biltong-type meat processing J. Food Eng 2020 , 265 , 109686. [ CrossRef ] 4 Singh, P.; Yadav, S.; Pathera, A.K.; Sharma, D.P. Effect of vacuum tumbling on sensory quality of marinated chicken products Asian J. Anim. Sci 2018 , 13 , 27–30. [ CrossRef ] [ PubMed ] 5 Chen, Y.; Qiao, Y.; Xiao, Y.; Chen, H.; Zhao, L.; Huang, M.; Zhou, G. Differences in Physicochemical and Nutritional Properties of Breast and Thigh Meat from Crossbred Chickens, Commercial Broilers, and Spent Hens Asian Australas. J. Anim. Sci 2015 , 29 , 855–864. [ CrossRef ] [ PubMed ] 6 Li, P.; Sun, L.; Wang, J.; Wang, Y.; Zou, Y.; Yan, Z.; Zhang, M.; Wang, D.; Xu, W. Effects of combined ultrasound and lowtemperature short-time heating pretreatment on proteases inactivation and textural quality of meat of yellow-feathered chickens Food Chem 2021 , 355 , 129645. [ CrossRef ] [ PubMed ] 7 Bharti, S.K.; Anita, B.; Das, S.K.; Biswas, S. Effect of vacuum tumbling time on physico-chemical, microbiological and sensory properties of chicken tikka J. Stored Prod. Postharvest Res 2011 , 2 , 139–147 8 Lee, Y.S.; Youm, G.; Owens, C.M.; Meullenet, J.F. Optimization of Consumer Acceptability and Sensory Characteristics for Marinated Broiler Breast Meat J. Food Sci 2011 , 76 , S 478–S 484. [ CrossRef ] [ PubMed ] 9 Li, C.; Szczepaniak, S.; Steen, L.; Goemaere, O.; Impens, S.; Paelinck, H.; Zhou, G. Effect of tumbling time and cooking temperature on quality attributes of cooked ham Int. J. Food Sci. Technol 2011 , 46 , 2159–2163. [ CrossRef ] 10 Gurikar, A.M.; Lakshmanan, V.; Gadekar, Y.P.; Sharma, B.D.; Anjaneyulu, A.S.R. Effect of meat chunk size, massaging time and cooking time on quality of restructured pork blocks J. Food Sci. Technol 2014 , 51 , 1363–1369. [ CrossRef ] [ PubMed ] 11 Yadav, S.; Malik, A.; Sharma, D.; Mehta, N. Influence of vacuum tumbling and particle size on quality characteristics of goat meat rolls Asian J. Dairy Food Res 2014 , 33 , 302–306. [ CrossRef ] 12 Kim, S.Y.; Choi, J.H.; Choi, J.S.; Kim, H.W.; Shim, S.Y.; Chung, H.K.; Kim, C.J. Effects of Tumbling Conditions on the Quality Characteristics of Restructured Ham with Chicken Breast and Thigh. Master’s Thesis, Konkuk University, Seoul, Republic of Korea, 2010 13 Knipe, L. Sectioned and Formed Meat Products. 2015. Available online: https://meatsci.osu.edu/node/95 (accessed on 1 June 2022) 14 Li, Y.; Feng, T.; Sun, J.; Guo, L.; Wang, B.; Huang, M.; Xu, X.; Yu, J.; Ho, H. Physicochemical and microstructural attributes of marinated chicken breast influenced by breathing ultrasonic tumbling Ultrason. Sonochem 2020 , 64 , 105022. [ CrossRef ] [ PubMed ] 15 Xargay ó , M.; Lagares, J.; Fern á ndez, E.; Sanz, D.; Gum à , J.; Puigferrer, J Reduction in Process Time for Cooked Meat Products by Means of Intensive Accelerated Massage (MIA) ; Nu-Meat Technology: Girona, Spain, 2013; pp. 95–100 16 Zhaoming, W.; Zhifei, H.; Li, Y.; Han, H.; Shan, W.; Mingyue, X.; Hongjun, L. Applying response surface methodology to optimize tumbling process of rabbit meat Food Sci 2015 , 36 , 53–57.

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[Summary: This page continues the list of references cited in the study. It includes a disclaimer from the publisher regarding the content of the publication.]

Sustainability 2023 , 15 , 273 10 of 10 17 Dolata, W.; Piotrowska, E.; Wajdzik, J. Influence of tumbler design and plasticizing cycle on the quality of cooked ham Agric Eng 2003 , 8 , 37–45 18 Dolata, W.; Piotrowska, E.; Wajdzik, J.; Tritt-Goc, J. The use of the MRI technique in the evaluation of water distribution in tumbled porcine muscle Meat Sci 2004 , 67 , 25–31. [ CrossRef ] [ PubMed ] 19 Diakun, J.; Sencio, M. Structural and functional review of meat tumblers. Part I—Drum and agitator tumblers Adv. Food Process Technol 2008 , 18 , 55–62 20 Sencio, M.; Mierzejewska, S.; Diakun, J. Bearbeitung von Hühnerbeifleisch mit dem Massierverfahren. Teil 1: Anderungen der Textur und Pressaftverlustes nach Behandlung und dem Braten Fleischwirtschaft 2020 , 3 , 92–97 21 Sencio, M.; Mierzejewska, S.; Diakun, J. Bearbeitung von Hühnerbeifleisch mit dem Massierverfahren. Teil 2: Beeinflussungsparameter des Massiverfahrens zur Herstellung eines Kebab-Produkts Fleischwirtschaft 2020 , 4 , 86–91 22 Diakun, J.; Sencio, M. Changes of the beef meat tendinous-tenderness coefficient after massaging and cooking using Warner- Bratzler test Fleischwirtsch. Int. J. Meat Prod. Meat Process 2013 , 3 , 56–60 Disclaimer/Publisher’s Note: The statements, opinions and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s). MDPI and/or the editor(s) disclaim responsibility for any injury to people or property resulting from any ideas, methods, instructions or products referred to in the content.

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