This study investigated the effects of combining an edible coating (EC) formulation with modified atmosphere packaging (MAP) on the postharvest quality of Coscia pears (Pyrus communis L.). The EC formulation consisted of Aloe vera gel, hydroxypropyl methylcellulose (HPMC), ascorbic acid, and citric acid. Pears were sliced and subjected to three treatments: untreated (CTR), EC with MAP1 (70% CO2 + 30% N2), and EC with MAP2 (30% CO2 + 70% N2). Physicochemical, microbiological, and sensory analyses, as well as assessments of proximate compounds and vitamin content, were conducted over a 9-day storage period at 4 ± 1 ℃ and 90% ± 5% relative humidity. The results showed that combining EC with MAP significantly reduced juice leakage, delayed browning, and preserved firmness compared to untreated samples. Additionally, MAP treatments, particularly MAP2, improved color stability by minimizing both aerobic and anaerobic respiration. Sensory evaluations indicated that treated samples had superior visual appearance and texture. Microbiological analyses confirmed that all samples maintained high hygienic standards throughout the storage period. Furthermore, mineral and vitamin content analyses demonstrated that EC and MAP treatments helped retain essential nutrients in the pear slices. In conclusion, the combination of EC and MAP effectively extended the shelf-life and preserved the nutritional quality of fresh-cut Coscia pears, offering substantial benefits for both consumers and the food industry.
Citation: Ilenia Tinebra, Roberta Passafiume, Alessandra Culmone, Eristanna Palazzolo, Giuliana Garofalo, Vincenzo Naselli, Antonio Alfonzo, Raimondo Gaglio, Vittorio Farina. Boosting post-harvest quality of 'Coscia' pears: Antioxidant-enriched coating and MAP storage[J]. AIMS Agriculture and Food, 2024, 9(4): 1151-1172. doi: 10.3934/agrfood.2024060
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This study investigated the effects of combining an edible coating (EC) formulation with modified atmosphere packaging (MAP) on the postharvest quality of Coscia pears (Pyrus communis L.). The EC formulation consisted of Aloe vera gel, hydroxypropyl methylcellulose (HPMC), ascorbic acid, and citric acid. Pears were sliced and subjected to three treatments: untreated (CTR), EC with MAP1 (70% CO2 + 30% N2), and EC with MAP2 (30% CO2 + 70% N2). Physicochemical, microbiological, and sensory analyses, as well as assessments of proximate compounds and vitamin content, were conducted over a 9-day storage period at 4 ± 1 ℃ and 90% ± 5% relative humidity. The results showed that combining EC with MAP significantly reduced juice leakage, delayed browning, and preserved firmness compared to untreated samples. Additionally, MAP treatments, particularly MAP2, improved color stability by minimizing both aerobic and anaerobic respiration. Sensory evaluations indicated that treated samples had superior visual appearance and texture. Microbiological analyses confirmed that all samples maintained high hygienic standards throughout the storage period. Furthermore, mineral and vitamin content analyses demonstrated that EC and MAP treatments helped retain essential nutrients in the pear slices. In conclusion, the combination of EC and MAP effectively extended the shelf-life and preserved the nutritional quality of fresh-cut Coscia pears, offering substantial benefits for both consumers and the food industry.
In the last decades the interest towards the complex systems for the modeling and studying of biological systems has been ever growing (see among the others [1]–[11], and references therein).
More generally, the study of complex systems [12]–[15] is one of the main resaerch topics of the last years. However the description of such systems, with related quantities and parameters, depends on the particular approach that is chosen. Different mathematical frameworks have been proposed depending on the representation scale of the system. In the present paper, we turn our attention on the so-called “kinetic approach” which is a generalization of the model proposed by Boltzmann [16] to describe the statistical dynamics of gases, and is based on a suitable version of his equation. The interacting entities of the system are called active particles. The evolution of the system is described by a distribution function which depends on the time, on the mechanical variables (i.e. space and velocity) and on a scalar variable called “activity”, whose meaning depends on the current application [17]. In the kinetic theoretical description of a complex system, the evolution depends on an integral term that defines the interactions between the particles.
A new modeling framework has been recently proposed for the description of a complex system under the action of an external force field: the thermostatted kinetic theory [18], [19]. The action of an external force field moves the systems out of the equilibrium. In this framework, the complex system under investigation is divided into n functional subsystems such that particles belonging to the same functional subsystem share the same strategy (in a suitable sense, the same aim) [20]. The macroscopic state is described by specific pth-order moments (see Section 2). The introduction of a dissipative term, called thermostat, constrains the system to keep the 2nd-order moment of the system, which can be regarded as the physical global activation energy, costant in time. The evolution of the system is then described by a system of nonlinear integro-differential equations with quadratic nonlinearity. The thermostatted kinetic theory has been developed, for instance, in the study of Kac equation too [21].
A biological system is constituted by a large number of interacting entities (the active particles) whose microscopic state can be described by a real variable (activity) which represents the individual ability to express a specific strategy. The active particles of a biological systems have the ability to develop behaviour that cannot only be explained by the classical mechanics laws, and, in some cases, can generate proliferative and/or destructive processes. By using the functional subsystems, the complexity can be reduced by decomposing the biological systems into several interacting subsystems [22]. In fact, this approach can possibly be considered the first fundamental contribution to biological studies [23]. The decomposition method can be regarded as a tool to reduce complexity. In fact, the active particles in each module, which is described as a functional subsystem, are not of the same type, while they express the same strategy collectively. Thus the system can be studied regarding the evolution of each functional subsystem rather than the single active particle.
A biological system can be described at different representation scales, depending on the particular application. For instance, the microscopic scale in biology corresponds to cells, while the dynamics of cells depends on the dynamics at the lower molecular scale, namely the scale of molecules. In some cases, the complexity of the system induces the use of even a larger scale, the macroscopic scale, which corresponds to population dynamics [24]–[26]. By using the framework of kinetic theory, the microscopic scale models the interactive dynamics among active particles, and it is described by using the activity variable, while the macroscopic state of the whole system is described by the pth-order moments related to the distribution function. The description of the biological systems depends on the pairwise interactions among the active particles (microscopic scale) and the state of the overall system (macroscopic scale).
In the last years, a widely interesting biological application is the modeling of the dynamics of epidemics with virus variations (see [3]–[6], [27]–[30], and references therein). One of the most used model is SIR (Susceptible, Infectious, Recovered), with its variants (see [6], [31]–[36], and references therein). In this contest, the system may be decomposed into 3 functional subsystem of interacting individual. The first functional subsystems denotes the healthy individuals whose microscopic state models the susceptibility to contract the pathological state. The second functional subsystems represents denotes individuals healthy carriers of the virus, whose microscopic state models the infectivity of the virus. The thirs functional subsystem denotes the individuals affected by the virus at the first and subsequent stages, whose microscopic state models the progression of both the infectivity and the pathological state.
Beyond biological systems, the thermostatted framework is used to study, among other topics: socio-economic systems [37], [38], pedestrian dynamics [39], vehicular traffic [40], crowd dynamics [41], human feelings [42], [43] and opinion formation [44].
The present paper deals with the discrete thermostatted framework: the activity variable attains its value in a discrete subset of ℝ, so that in this case the evolution of the system is modeled by a system of nonlinear ordinary differential equations with quadratic nonlinearity. The existence and uniqueness of the solutions is assured for both the related Cauchy and nonequilibrium stationary problems [45], [46]. The analysis of the discrete framework is important in order to define the methods for the numerical simulations.
The use of a discrete variable is not only a technical choice. In some application, this is related to the description of the current biological systems [47], [48]. For instance in order to describe the state of a cell, three values are assigned to the activity variable: normal, infected, dead. Moreover, in socio-economic systems [37], [38], the discretization of the activity variable has conceptual reason. As a matter of fact, a continuous activity variable for the socio-economic quantities may not make any sense: e.g. the wealth-state.
The main aim of this paper is the study of stability in the Hadamard sense of the discrete themostatted kinetic framework. A model is stable in the Hadamard sense if the solution exists and is unique, and it depends continuously on the initial data. In the current paper, two Cauchy problems, related to the discrete thermostatted framework that differ for their initial data, are considered. The distance between the initial data is estimated by a δ > 0. Using typical analytical techniques, this paper shows that the distance between the corresponding solutions, in a suitable norm, is estimated continuously in function of δ (see [49] for the continuous case), i.e. if δ goes to 0, the two solutions collapse.
The importance of continuous dependence of the solutions on the initial data is related, among other things, to the numerical simulations that can be performed [7], [50]–[52]. As a matter of fact, since the initial data is in general derived from a statistical analysis, its value is affected by an error, then the stability of the model may assure a “slow and small propagation” of such an error during the evolution, at least for small time intervals. Among others, the application of the discrete thermostatted framework to the epidemic dynamics may be considered. In this case the initial data is obtained from a statistical study, then it may be affected by an error. The continuous dependence with respect to the initial data is an important issue such that the numerical simulations can be performed such that the solution represents the evolution of epidemic with sufficient accuracy.
This paper presents a first step towards the study of stability and dependence on the initial data for the discrete kinetic thermostatted framework.
The contents of this paper are divided into 5 more sections which follow this brief Introduction. In Section 2 the discrete thermostatted kinetic framework is presented, and the related state of art about existence and uniqueness of the solutions. In Section 3 the main Theorem about the dependence on the initial data is presented, after introducing suitable norms. Section 4 deals with the proof of Theorem, proving the stability and giving an explicit form to the constant in the final inequality which is obtained by performing some typical analytic arguments. Finally Section 5 deals with the future research perspective that may follow this paper, which is meant as a first step towards the dependence on the initial data for the discrete thermostatted kinetic framework.
Let us consider a complex system 𝒞 homogeneous with respect to the mechanical variables, i.e. space and velocity, which is divided into n (where n ∈ ℕ is fixed) functional subsystems such that particles belonging to the same functional subsystem share the same strategy
The related vector distribution function of the system 𝒞 reads:
The macroscopic state of the system, at a time t > 0, is described by the pth-order moment, which is defined, for p ∈ ℕ, as:
The interaction among the active particles is described by the following parameters:
Let Fi(t) : [0; +∞[→ ℝ+, for i ∈ {1,2, …, n}, be an external force acting on the ith functional subsystem, such that the external force field writes:
A discrete thermostat is included in order to keep constant the 2nd-order moment 𝔼2[f](t). Let 𝔼2 be the fixed value of the 2nd-order moment, then the evolution of the ith functional subsystem, for i ∈ {1,2, …, n}, is:
Let
Definition 2.1. Fixed 𝔼2 > 0, the space function
Henceforth, the following assumptions are taken into account:
H1
H2
H3 there exists η > 0 such that ηhk = η, for all h, k ∈ {1,2, …, n};
H4 there exists F > 0 such that Fi(t) = F, for all i ∈ {1,2, …, n} and for all t > 0.
Remark 2.2. The H1 is a technical assumption since the generalized framework has been treated in [53], where ui ≥ 1 is not required.
In this framework, under the assumptions H1-H4, there exists one only function
Complex systems usually operate far from equilibrium since their evolution is related to an internal dynamics, due to the interaction between particles, and to an external dyanmics, due to the external force field. Then nonequilibrium stationary states are reached during the evolution.
The stationary problem related to (2.2) is, for i ∈ {1,2, …, n}:
In [46] the existence of a solution of (2.4), called non-equilibrium stationary solution, is gained, and the uniqueness is proved under some restrictions on the value of the external force F. Henceforth, without leading of generality, 𝔼2[f] = 𝔼0[f] = 1 is assumed.
If these further assumptions hold true:
H5
H6
then the evolution equation of 𝔼1[f](t) reads
Remark 2.3. The assumptions H3-H4 are not restricted. Indeed the results of existence and, if possible, uniqueness can be proved if there exist F,η > 0 such that:
Under suitable assumptions the Cauchy problem (2.3) has a unique solution
Let us consider now two Cauchy problems related to the discrete thermostatted framework (2.2):
If the assumptions H1-H6 hold true, there exist
Theorem 3.1. Consider the Cauchy problems (3.1). Suppose that the assumptions H1-H6 hold true. If there exists δ > 0 such that:
Remark 3.2. As consequence of Theorem 3.1, the problem (2.3) is well-posed in the Hadamard sense.
Proof of Theorem 3.1. The thermostatted
Integrating between 0 and t, the
By assumptions:
Finally, by
Using the
Subtracting the
By
Moreover, for i ∈ {1, 2, …, n}:
Summing the
Then by
Since, by straightforward calculations:
Using the
Let introduce the constant
Applying the Gronwall Lemma
Finally, by
The mathematical analysis performed in this paper has been addressed to the dependence on the initial data of the discrete thermostatted kinetic framework. Theorem 3.1 ensures the stability in the Hadarmd sense of the framework (2.2), for all T > 0. The constant C > 0, obtained after some technical computations, is explicit and is an important issue for future numerical simulations that may be performed for several applications (see among others [55], [56] and references therein).
Numerical simulations towards the framework (2.2) are a first future research prespective. Specifically, the parameters of the system, i.e. interaction rates ηhk and transition probability densities
For Theorem 3.1 the norm
Theorem 3.1 provides stability for the discrete framework when the 2nd-order moment is preserved. The general framework [45], when the generic pth-order moment is preserved, is not investigated in this paper. An interesting future research perspective is the analysis of the general case by using, in a first approach, the same norm of Theorem 3.1.
[1] | Cyril K, Rahman MM, Singh G, et al. (2023) The impact of pear on nutrition and health: A review. Energy KJ 264: 227. |
[2] | FAOSTAT. Available from: https://www.fao.org/faostat/en/#data/QCL. |
[3] |
Ozturk A, Faizi ZA (2023) Growth, yield and quality performance of pear (Pyrus communis L.) cv.'Santa Maria'under high density planting. Braz Arch Biol Technol 66: e23220414. https://doi.org/10.1590/1678-4324-2023220414 doi: 10.1590/1678-4324-2023220414
![]() |
[4] |
Dondini L, Sansavini S (2012) European pear. Fruit Breed 369–413. https://doi.org/10.1007/978-1-4419-0763-9_11 doi: 10.1007/978-1-4419-0763-9_11
![]() |
[5] |
Guccione E, Allegra A, Farina V, et al. (2023) Use of xanthan gum and calcium ascorbate to prolong cv. Butirra pear slices shelf life during storage. Adv Hortic Sci 37: 59–66. https://doi.org/10.36253/ahsc-13872 doi: 10.36253/ahsc-13872
![]() |
[6] |
Kolniak-Ostek J (2016) Chemical composition and antioxidant capacity of different anatomical parts of pear (Pyrus communis L.). Food Chem 203: 491–497. https://doi.org/10.1016/j.foodchem.2016.02.103 doi: 10.1016/j.foodchem.2016.02.103
![]() |
[7] |
Chen J, Wang Z, Wu J, et al. (2007) Chemical compositional characterization of eight pear cultivars grown in China. Food Chem 104: 268–275. https://doi.org/10.1016/j.foodchem.2006.11.038 doi: 10.1016/j.foodchem.2006.11.038
![]() |
[8] |
Olunusi SO, Ramli NH, Fatmawati A, et al. (2024) Revolutionizing tropical fruits preservation: Emerging edible coating technologies. Int J Biol Macromol 264: 130682. https://doi.org/10.1016/j.ijbiomac.2024.130682 doi: 10.1016/j.ijbiomac.2024.130682
![]() |
[9] |
Tinebra I, Passafiume R, Scuderi D, et al. (2022) Effects of tray-drying on the physicochemical, microbiological, proximate, and sensory properties of white- and red-fleshed loquat (Eriobotrya Japonica Lindl.) fruit. Agronomy 12: 540. https://doi.org/10.3390/agronomy12020540 doi: 10.3390/agronomy12020540
![]() |
[10] | Farina V, Sortino G, Saletta F, et al. (2017) Effects of rapid refrigeration and modified atmosphere packaging on litchi (Litchi chinensis Sonn.) fruit quality traits. Chem Eng 58: 415–420. |
[11] |
Lamani NA, Ramaswamy HS (2023) Composite alginate–ginger oil edible coating for fresh-cut pears. J Compos Sci 7: 245. https://doi.org/10.3390/jcs7060245 doi: 10.3390/jcs7060245
![]() |
[12] |
Allegra A, Inglese P, Farina V, et al. (2023) Effects of xanthan gum and calcium ascorbate treatments on color and nutritional quality of fresh cut pear fruit. ACTA Hortic 1364: 351–358. https://doi.org/10.17660/ActaHortic.2023.1364.45 doi: 10.17660/ActaHortic.2023.1364.45
![]() |
[13] |
Just DR, Goddard JM (2023) Behavioral framing and consumer acceptance of new food technologies: Factors influencing consumer demand for active packaging. Agribusiness 39: 3–27. https://doi.org/10.1002/agr.21778 doi: 10.1002/agr.21778
![]() |
[14] | Zhang H, Gallardo RK, McCluskey JJ, et al. (2010) Consumers' willingness to pay for treatment-induced quality attributes in Anjou pears. J Agric Resour Econ 35: 105–117. |
[15] |
Amanatidou A, Smid E, Gorris L (1999) Effect of elevated oxygen and carbon dioxide on the surface growth of vegetable‐associated micro‐organisms. J Appl Microbiol 86: 429–438. https://doi.org/10.1046/j.1365-2672.1999.00682.x doi: 10.1046/j.1365-2672.1999.00682.x
![]() |
[16] |
Farber J, Harris L, Parish M, et al. (2003) Microbiological safety of controlled and modified atmosphere packaging of fresh and fresh‐cut produce. Compr Rev Food Sci Food Saf 2: 142–160. https://doi.org/10.1111/j.1541-4337.2003.tb00032.x doi: 10.1111/j.1541-4337.2003.tb00032.x
![]() |
[17] | Ares G, Lareo C, Lema P (2007) Modified atmosphere packaging for postharvest storage of mushrooms. A review. Fresh Prod 1: 32–40. |
[18] |
Oguz‐Korkut G, Kucukmehmetoglu S, Gunes G (2022) Effects of modified atmosphere packaging on physicochemical properties of fresh‐cut 'Deveci'pears. J Food Process Preserv 46: e16002. https://doi.org/10.1111/jfpp.16002 doi: 10.1111/jfpp.16002
![]() |
[19] |
Roppolo P, Tinebra I, Passafiume R, et al. (2023) Tray-drying is a new way to valorise white-fleshed peach fruit. AIMS Agric Food 8: 944–961. https://doi.org/10.3934/agrfood.2023050 doi: 10.3934/agrfood.2023050
![]() |
[20] |
Phillips CA (1996) Modified atmosphere packaging and its effects on the microbiological quality and safety of produce. Int J Food Sci Technol 31: 463–479. https://doi.org/10.1046/j.1365-2621.1996.00369.x doi: 10.1046/j.1365-2621.1996.00369.x
![]() |
[21] |
Sandhya (2010) Modified atmosphere packaging of fresh produce: Current status and future needs. LWT-Food Sci Technol 43: 381–392. https://doi.org/10.1016/j.lwt.2009.05.018 doi: 10.1016/j.lwt.2009.05.018
![]() |
[22] | Ahmed M, Yousef AR, Sarrwy S (2011) Modified atmosphere packaging for maintaining quality and shelf life extension of persimmon fruits. Asian J Agric Sci 3: 308–316. |
[23] |
Ikiz D, Gallardo RK, Dhingra A, et al. (2018) Assessing consumers' preferences and willingness to pay for novel sliced packed fresh pears: A latent class approach. Agribusiness 34: 321–337. https://doi.org/10.1002/agr.21532 doi: 10.1002/agr.21532
![]() |
[24] |
Qu P, Zhang M, Fan K, et al. (2022) Microporous modified atmosphere packaging to extend shelf life of fresh foods: A review. Crit Rev Food Sci Nutr 62: 51–65. https://doi.org/10.1080/10408398.2020.1811635 doi: 10.1080/10408398.2020.1811635
![]() |
[25] |
Passafiume R, Tinebra I, Gaglio R, et al. (2022) Fresh-cut mangoes: How to increase shelf life by using neem oil edible coating. Coatings 12: 664. https://doi.org/10.3390/coatings12050664 doi: 10.3390/coatings12050664
![]() |
[26] |
Piechowiak T, Skóra B (2023) Edible coating enriched with cinnamon oil reduces the oxidative stress and improves the quality of strawberry fruit stored at room temperature. J Sci Food Agric 103: 2389–2400. https://doi.org/10.1002/jsfa.12463 doi: 10.1002/jsfa.12463
![]() |
[27] |
Kumar P, Kumar L, Tanwar R, et al. (2023) Active edible coating based on guar gum with mint extract and antibrowning agents for ber (Ziziphus mauritiana) fruits preservation. J Food Meas Charact 17: 129–142. https://doi.org/10.1007/s11694-022-01609-6 doi: 10.1007/s11694-022-01609-6
![]() |
[28] |
Pashova S (2023) Application of plant waxes in edible coatings. Coatings 13: 911. https://doi.org/10.3390/coatings13050911 doi: 10.3390/coatings13050911
![]() |
[29] |
Priya K, Thirunavookarasu N, Chidanand DV (2023) Recent advances in edible coating of food products and its legislations: A review. J Agric Food Res 12: 100623. https://doi.org/10.1016/j.jafr.2023.100623 doi: 10.1016/j.jafr.2023.100623
![]() |
[30] |
Pham TT, Nguyen LLP, Dam MS, et al. (2023) Application of edible coating in extension of fruit shelf life: Review. AgriEngineering 5: 520–536. https://doi.org/10.3390/agriengineering5010034 doi: 10.3390/agriengineering5010034
![]() |
[31] |
Passafiume R, Gugliuzza G, Gaglio R, et al. (2021) Aloe-based edible coating to maintain quality of fresh-cut Italian pears (Pyrus communis L.) during cold storage. Horticulturae 7: 581. https://doi.org/10.3390/horticulturae7120581 doi: 10.3390/horticulturae7120581
![]() |
[32] |
Scramin JA, de Britto D, Forato LA, et al. (2011) Characterisation of zein–oleic acid films and applications in fruit coating. Int J Food Sci Technol 46: 2145–2152. https://doi.org/10.1111/j.1365-2621.2011.02729.x doi: 10.1111/j.1365-2621.2011.02729.x
![]() |
[33] |
Benítez S, Achaerandio I, Pujolà M, et al. (2015) Aloe vera as an alternative to traditional edible coatings used in fresh-cut fruits: A case of study with kiwifruit slices. LWT-Food Sci Technol 61: 184–193. https://doi.org/10.1016/j.lwt.2014.11.036 doi: 10.1016/j.lwt.2014.11.036
![]() |
[34] |
Arias E, López-Buesa P, Oria R (2009) Extension of fresh-cut "Blanquilla" pear (Pyrus communis L.) shelf-life by 1-MCP treatment after harvest. Postharvest Biol Technol 54: 53–58. https://doi.org/10.1016/j.postharvbio.2009.04.009 doi: 10.1016/j.postharvbio.2009.04.009
![]() |
[35] | Ruangchakpet A, Sajjaanantakul T (2007) Effect of browning on total phenolic, flavonoid content and antioxidant activity in Indian gooseberry (Phyllanthus emblica Linn.). Agric Nat Resour 41: 331–337. |
[36] |
Palazzolo E, Letizia Gargano M, Venturella G (2012) The nutritional composition of selected wild edible mushrooms from Sicily (southern Italy). Int J Food Sci Nutr 63: 79–83. https://doi.org/10.3109/09637486.2011.598850 doi: 10.3109/09637486.2011.598850
![]() |
[37] | Morand P, Gullo J (1970) Mineralisation des tissus vegetaux en vue du dosage de P, Ca, Mg, Na, K. Ann Agron 21: 229–236. |
[38] |
Fogg DN, Wilkinson NT (1958) The colorimetric determination of phosphorus. Analyst 83: 406–414. https://doi.org/10.1039/an9588300406 doi: 10.1039/an9588300406
![]() |
[39] |
Asfaw TB, Tadesse MG, Tessema FB, et al. (2024) Ultrasonic-assisted extraction and UHPLC determination of ascorbic acid, polyphenols, and half-maximum effective concentration in Citrus medica and Ziziphus spina-christi fruits using multivariate experimental design. Food Chem: X 22: 101310. https://doi.org/10.1016/j.fochx.2024.101310 doi: 10.1016/j.fochx.2024.101310
![]() |
[40] | ISO (International Organisation for Standardisation) (2007) ISO 8589: 2007. Sensory analysis-general guidance for the design of test rooms. |
[41] |
Vishwasrao C, Ananthanarayan L (2016) Postharvest shelf-life extension of pink guavas (Psidium guajava L.) using HPMC-based edible surface coatings. J Food Sci Technol 53: 1966–1974. https://doi.org/10.1007/s13197-015-2164-x doi: 10.1007/s13197-015-2164-x
![]() |
[42] |
Avcı V, Islam A, Ozturk B, et al. (2023) Effects of Aloe vera gel and modified atmosphere packaging treatments on quality properties and bioactive compounds of plum (Prunus salicina L.) fruit throughout cold storage and shelf life. Erwerbs-Obstbau 65: 71–82. https://doi.org/10.1007/s10341-022-00694-7 doi: 10.1007/s10341-022-00694-7
![]() |
[43] |
Gorsi FI, Hussain A, Kausar T, et al. (2024) Structural and thermal interaction studies of aloe vera (aloe barbadensis miller) gel powder and developed food bars. J Therm Anal Calorim 149: 4543–4559. https://doi.org/10.1007/s10973-024-13007-9 doi: 10.1007/s10973-024-13007-9
![]() |
[44] |
Suriati L, Utama IMS, Harsojuwono BA, et al. (2022) Effect of additives on surface tension, viscosity, transparency and morphology structure of aloe vera gel-based coating. Front Sustain Food Syst 6: 831671. https://doi.org/10.3389/fsufs.2022.831671 doi: 10.3389/fsufs.2022.831671
![]() |
[45] |
Siracusa V (2012) Food packaging permeability behaviour: A report. Int J Polym Sci 2012: 302029. https://doi.org/10.1155/2012/302029 doi: 10.1155/2012/302029
![]() |
[46] |
Liao X, Xing Y, Fan X, et al. (2023) Effect of composite edible coatings combined with modified atmosphere packaging on the storage quality and microbiological properties of fresh-cut pineapple. Foods 12: 1344. https://doi.org/10.3390/foods12061344 doi: 10.3390/foods12061344
![]() |
[47] |
Esmaeili Y, Zamindar N, Paidari S, et al. (2021) The synergistic effects of aloe vera gel and modified atmosphere packaging on the quality of strawberry fruit. J Food Proc Preserv 45: e16003. https://doi.org/10.1111/jfpp.16003 doi: 10.1111/jfpp.16003
![]() |
[48] |
Ghidelli C, Pérez-Gago MB (2018) Recent advances in modified atmosphere packaging and edible coatings to maintain quality of fresh-cut fruits and vegetables. Crit Rev Food Sci Nutr 58: 662–679. https://doi.org/10.1080/10408398.2016.1211087 doi: 10.1080/10408398.2016.1211087
![]() |
[49] | Coskun MG, Omeroglu PY, Copur OU (2017) Increasing shelf life of fruits and vegetables with combined system of modified atmosphere packaging and edible films coating. Eur J Food Sci Technol 1: 47–53. |
[50] |
Pathare PB, Opara UL, Al-Said FA-J (2013) Colour measurement and analysis in fresh and processed foods: A review. Food Bioprocess Technol 6: 36–60. https://doi.org/10.1007/s11947-012-0867-9 doi: 10.1007/s11947-012-0867-9
![]() |
[51] |
Awad AHR, Parmar A, Ali MR, et al. (2021) Extending the shelf-life of fresh-cut green bean pods by ethanol, ascorbic acid, and essential oils. Foods 10: 1103. https://doi.org/10.3390/foods10051103 doi: 10.3390/foods10051103
![]() |
[52] |
Huglin MB, Zakaria MB (1983) Comments on expressing the permeability of polymers to gases. Angew Makromol Chem 117: 1–13. https://doi.org/10.1002/apmc.1983.051170101 doi: 10.1002/apmc.1983.051170101
![]() |
[53] |
Yu K, He W, Ma X, et al. (2024) Purification and biochemical characterization of polyphenol oxidase extracted from wheat bran (Wan grano). Molecules 29: 1334. https://doi.org/10.3390/molecules29061334 doi: 10.3390/molecules29061334
![]() |
[54] | Parry R (2012) Principles and applications of modified atmosphere packaging of foods. Springer Science & Business Media. |
[55] |
Wilson MD, Stanley RA, Eyles A, et al. (2019) Innovative processes and technologies for modified atmosphere packaging of fresh and fresh-cut fruits and vegetables. Crit Rev Food Sci Nutr 59: 411–422. https://doi.org/10.1080/10408398.2017.1375892 doi: 10.1080/10408398.2017.1375892
![]() |
[56] |
Passafiume R, Roppolo P, Tinebra I, et al. (2023) Reduction of pericarp browning and microbial spoilage on litchi fruits in modified atmosphere packaging. Horticulturae 9: 651. https://doi.org/10.3390/horticulturae9060651 doi: 10.3390/horticulturae9060651
![]() |
[57] |
Saeed Khan M, Zeb A, Rahatullah K, et al. (2013) Storage life extension of plum fruit with different colored packaging and storage temperatures. IOSR J Environ Sci Toxicol Food Technol 7: 86–93. https://doi.org/10.9790/2402-0738693 doi: 10.9790/2402-0738693
![]() |
[58] | Goncalves E, Antunes P, Brackmann A (2000) Controlled atmosphere storage of Asian pears cv. Nijisseiki. |
[59] |
Kou X, Jiang B, Zhang Y, et al. (2016) The regulation of sugar metabolism in Huangguan pears (Pyrus pyrifolia Nakai) with edible coatings of calcium or Pullulan during cold storage. Hortic Sci Technol 34: 898–911. https://doi.org/10.12972/kjhst.20160094 doi: 10.12972/kjhst.20160094
![]() |
[60] | Wong DW, Camirand WM, Pavlath AE (1994) Development of edible coatings for minimally processed fruits and vegetables. Edible Coatings and Films to Improve Food Quality, US, 65–88. |
[61] |
Zheng G, Pan D, Niu X, et al. (2014) Changes in cell Ca2+ distribution in loquat leaves and its effects on cold tolerance. Korean J Hortic Sci Technol 32: 607–613. https://doi.org/10.7235/hort.2014.13009 doi: 10.7235/hort.2014.13009
![]() |
[62] |
Siddiq R, Auras R, Siddiq M, et al. (2020) Effect of modified atmosphere packaging (MAP) and NatureSeal® treatment on the physico-chemical, microbiological, and sensory quality of fresh-cut d'Anjou pears. Food Packag Shelf Life 23: 100–454. https://doi.org/10.1016/j.fpsl.2019.100454 doi: 10.1016/j.fpsl.2019.100454
![]() |
[63] |
Gomes MH, Fundo JF, Poças MF, et al. (2012) Quality changes in fresh-cut 'Rocha'pear as affected by oxygen levels in modified atmosphere packaging and the pH of antibrowning additive. Postharvest Biol Technol 74: 62–70. https://doi.org/10.1016/j.postharvbio.2012.06.014 doi: 10.1016/j.postharvbio.2012.06.014
![]() |
[64] |
Soliva‐Fortuny RC, Grigelmo‐Miguel N, Hernando I, et al. (2002) Effect of minimal processing on the textural and structural properties of fresh‐cut pears. J Sci Food Agric 82: 1682–1688. https://doi.org/10.1002/jsfa.1248 doi: 10.1002/jsfa.1248
![]() |
[65] | Mg AE-G, Zaki ZA, Ekbal ZA (2019) Effect of some postharvest treatments on quality of alphonse mango fruits during cold storage. Middle East J Agric Res 8: 1067–1079. |
[66] | Abbasi NA, Iqbal Z, Maqbool M, et al. (2009) Postharvest quality of mango (Mangifera indica L.) fruit as affected by chitosan coating. Pak J Bot 41: 343–357. |
[67] |
Zhang Y, Kong Q, Niu B, et al. (2024) The dual function of calcium ion in fruit edible coating: Regulating polymer internal crosslinking state and improving fruit postharvest quality. Food Chem 447: 138952. https://doi.org/10.1016/j.foodchem.2024.138952 doi: 10.1016/j.foodchem.2024.138952
![]() |
[68] |
Mannozzi C, Tylewicz U, Chinnici F, et al. (2018) Effects of chitosan based coatings enriched with procyanidin by-product on quality of fresh blueberries during storage. Food Chem 251: 18–24. https://doi.org/10.1016/j.foodchem.2018.01.015 doi: 10.1016/j.foodchem.2018.01.015
![]() |
[69] | Negi PS, Handa AK (2008) Structural deterioration of the produce: the breakdown of cell wall components. In: Postharvest Biology and Technology of Fruits, Vegetables, and Flowers 978: 0–8138. |
[70] | Gontard N, Guillaume C (2010) 16—Packaging and the shelf life of fruits and vegetables. In: Food Packaging and Shelf Life, 297. https://doi.org/10.1201/9781420078459-c16 |
[71] |
Zhang Y (2024) Post-harvest cold shock treatment enhanced antioxidant capacity to reduce chilling injury and improves the shelf life of guava (Psidium guajava L.). Front Sustain Food Syst 8: 1297056. https://doi.org/10.3389/fsufs.2024.1297056 doi: 10.3389/fsufs.2024.1297056
![]() |
[72] | Watkins, C. B. (2017). Postharvest physiology of edible plant tissues. In: Fennema's Food Chemistry, CRC press, 1017–1085. |
[73] | Knee M (1990) Ethylene effects in controlled atmosphere storage of horticultural crops. In: Food Preservation by Modified Atmospheres, 225–235. |
[74] |
Liao X, Xing Y, Fan X, et al. (2023) Effect of composite edible coatings combined with modified atmosphere packaging on the storage quality and microbiological properties of fresh-cut pineapple. Foods 12: 1344. https://doi.org/10.3390/foods12061344 doi: 10.3390/foods12061344
![]() |
[75] |
Dhall RK (2016) Application of edible coatings on fruits and vegetables. Imp J Interdiscip Res 3: 591–603. https://doi.org/10.1002/9781119185055.ch4 doi: 10.1002/9781119185055.ch4
![]() |
[76] | Sousa-Gallagher MJ, Tank A, Sousa R (2016) Emerging technologies to extend the shelf life and stability of fruits and vegetables. In: The Stability and Shelf Life of Food, Woodhead Publishing, 399–430. https://doi.org/10.1016/B978-0-08-100435-7.00014-9 |
[77] |
Sortino G, Inglese P, Farina V, et al. (2022) The use of opuntia ficus-indica mucilage and aloe arborescens as edible coatings to improve the physical, chemical, and microbiological properties of 'Hayward' kiwifruit slices. Horticulturae 8: 219. https://doi.org/10.3390/horticulturae8030219 doi: 10.3390/horticulturae8030219
![]() |
[78] |
Alegbeleye O, Odeyemi OA, Strateva M, et al. (2022) Microbial spoilage of vegetables, fruits and cereals. Appl Food Res 2: 100122. https://doi.org/10.1016/j.afres.2022.100122 doi: 10.1016/j.afres.2022.100122
![]() |
[79] |
Karanth S, Feng S, Patra D, et al. (2023) Linking microbial contamination to food spoilage and food waste: The role of smart packaging, spoilage risk assessments, and date labeling. Front Microbiol 14: 1198124. https://doi.org/10.3389/fmicb.2023.1198124 doi: 10.3389/fmicb.2023.1198124
![]() |
[80] |
Leff JW, Fierer N (2013) Bacterial communities associated with the surfaces of fresh fruits and vegetables. PloS One 8: e59310. https://doi.org/10.1371/journal.pone.0059310 doi: 10.1371/journal.pone.0059310
![]() |
[81] |
Wu J, Fan J, Li Q, et al. (2022) Variation of organic acids in mature fruits of 193 pear (Pyrus spp.) cultivars. J Food Compos Anal 109: 104483. https://doi.org/10.1016/j.jfca.2022.104483 doi: 10.1016/j.jfca.2022.104483
![]() |
[82] | Yim S-H, Nam S-H (2016) Physiochemical, nutritional and functional characterization of 10 different pear cultivars (Pyrus spp.). J Appl Bot Food Qual 89: 73–81. |
[83] | Artés F, Gómez PA, Artés-Hernández F (2006) Modified atmosphere packaging of fruits and vegetables. Crit Rev Food Sci Nutr 28: 1–30. |
[84] |
Carr AC, Maggini S (2017) Vitamin C and immune function. Nutrients 9: 1211. https://doi.org/10.3390/nu9111211 doi: 10.3390/nu9111211
![]() |
[85] |
Di Vaio C, Graziani G, Marra L, et al. (2008) Antioxidant capacities, carotenoids and polyphenols evaluation of fresh and refrigerated peach and nectarine cultivars from Italy. Eur Food Res Technol 227: 1225–1231. https://doi.org/10.1007/s00217-008-0840-z doi: 10.1007/s00217-008-0840-z
![]() |
[86] | Ozturk I, Ercisli S, Kalkan F, et al. (2009) Some chemical and physico-mechanical properties of pear cultivars. Afr J Biotechnol 8: 687–693. |
[87] |
Arora B, Sethi S, Joshi A, et al. (2018) Antioxidant degradation kinetics in apples. J Food Sci Technol 55: 1306–1313. https://doi.org/10.1007/s13197-018-3041-1 doi: 10.1007/s13197-018-3041-1
![]() |
[88] |
Rojas‐Graü M, Soliva‐Fortuny R, Martín‐Belloso O (2008) Effect of natural antibrowning agents on color and related enzymes in fresh‐cut Fuji apples as an alternative to the use of ascorbic acid. J Food Sci 73: S267–S272. https://doi.org/10.1111/j.1750-3841.2008.00794.x doi: 10.1111/j.1750-3841.2008.00794.x
![]() |
[89] |
Lin L, Li Q, Wang B, et al. (2007) Inhibition of core browning in 'Yali'pear fruit by post-harvest treatment with ascorbic acid. J Hortic Sci Biotechnol 82: 397–402. https://doi.org/10.1080/14620316.2007.11512250 doi: 10.1080/14620316.2007.11512250
![]() |
[90] |
Veltman R, Kho R, Van Schaik A, et al. (2000) Ascorbic acid and tissue browning in pears (Pyrus communis L. cvs Rocha and Conference) under controlled atmosphere conditions. Postharvest Biol Technol 19: 129–137. https://doi.org/10.1016/S0925-5214(00)00095-8 doi: 10.1016/S0925-5214(00)00095-8
![]() |
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