Next Article in Journal
Balanced Fertilization Enhances the Nutritional Value and Flavor Profile of Tomato Fruits
Previous Article in Journal
Evaluation of the Sensory Quality and Shelf Life of a Bioactive Essence Rich in Monounsaturated Fatty Acids and Antioxidants, Obtained from Eco-Sustainable Iberian Ham
 
 
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Process Modeling and Convective Drying Optimization of Raspberry Pomace as a Fiber-Rich Functional Ingredient: Effect on Techno-Functional and Bioactive Properties

by
José P. Tejeda-Miramontes
1,
Brenda C. Espinoza-Paredes
1,
Ana Zatarain-Palffy
1,
Tomás García-Cayuela
1,
Viridiana Tejada-Ortigoza
2 and
Luis Eduardo Garcia-Amezquita
2,*
1
Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias, Campus Guadalajara, Ave. General Ramón Corona 2514, Zapopan 45138, Mexico
2
Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias, Campus Monterrey, Ave. Eugenio Garza Sada 2501, Monterrey 64849, Mexico
*
Author to whom correspondence should be addressed.
Foods 2024, 13(22), 3597; https://doi.org/10.3390/foods13223597
Submission received: 11 October 2024 / Revised: 7 November 2024 / Accepted: 8 November 2024 / Published: 11 November 2024
(This article belongs to the Section Nutraceuticals, Functional Foods, and Novel Foods)

Abstract

:
This study aimed to transform raspberry pomace, a by-product of the berry industry, into a sustainable, fiber-rich functional ingredient using convective drying. Drying experiments were conducted at temperatures of 50, 60, 70, 80, and 90 °C to identify the optimal conditions that balance process efficiency and preservation of functional and bioactive properties. The best results were achieved at 70 °C, where a high drying rate (DR) of 0.46 kg H2O·kg−1 db·min−1, effective moisture diffusivity (Deff) of 1.53 × 10−10 m2·s−1, and activation energy (Ea) of 34.90 kJ·mol−1 were observed. The Page model accurately represented the drying behavior (R2 = 0.9965−0.9997). Total dietary fiber (TDF) content remained stable across temperatures (52.52–64.76 g·100 g−1 db), while soluble dietary fiber (SDF) increased by 43.40%, resulting in a solubility (SOL) of 71.8%, water-holding capacity (WHC) of 8.2 mL·g−1 db, and oil-holding capacity (OHC) of 3.0 mL·g−1 db. High retention of bioactive compounds was achieved at 70 °C, including phenolics (32.10 mg GAE·g−1 db) and anthocyanins (25.84 mg C3G·g−1 db), resulting in significant antioxidant activities (DPPH: 33.29 mg AAE·g−1 db, IC50 0.016 mg·mL−1; ABTS: 35.85 mg AAE·g−1 db, IC50 0.029 mg·mL−1). These findings demonstrated the potential of convective drying at 70 °C to efficiently transform raspberry pomace into a high-quality functional ingredient. This process promotes sustainable production and waste reduction in the berry industry.

1. Introduction

Food waste is a pressing global concern, contributing to significant environmental and economic impacts, including the annual emission of 4.4 billion tons of greenhouse gases [1]. A considerable portion of this waste stems from fruit by-products, such as pomace, which is the solid residue remaining after juice or oil extraction from fruits. Although often discarded, pomace represents an opportunity for sustainable reuse and resource optimization [2]. In particular, raspberry pomace has attracted interest due to its rich composition of dietary fiber and bioactive compounds, including phenolic compounds and anthocyanins, which are well-known for their antioxidant and anti-inflammatory properties [3,4,5]. Despite its nutritional potential, large quantities of raspberry pomace remain underutilized, exacerbating environmental challenges [6]. Transforming this nutrient-rich by-product into a functional food ingredient could reduce waste while enhancing food sustainability [7]. However, developing effective strategies that include methods such as optimized drying techniques to preserve its bioactive and techno-functional properties during processing is essential to unlocking its full potential [4,8] and ensuring that it meets the quality standards for food applications [9].
Various drying techniques have been explored to stabilize the fruit pomace and extend its shelf life [10,11]. Freeze-drying and vacuum drying are particularly effective in preserving product quality; however, their high energy consumption and prolonged processing times present significant drawbacks [9]. Alternative methods, such as microwave and infrared drying, offer faster moisture removal but require precise control to avoid uneven heating and potential quality degradation [12,13,14]. Convective drying is a widely utilized method in the food industry, balancing moisture removal with the retention of functional properties and enabling larger sample volumes to be processed efficiently [9,14,15,16]. Nevertheless, the high fiber content and porous nature of raspberry pomace pose challenges, including uneven drying and potential quality degradation if the process is not properly optimized [4]. Therefore, achieving optimal convective drying conditions is critical for maintaining bioactive compounds and enhancing dietary fiber and techno-functional properties, thereby facilitating their successful application in various food formulations [5,17].
Optimizing the drying process of raspberry pomace requires a thorough understanding of its drying kinetics. Mathematical modeling has proven valuable for evaluating and predicting the drying behavior of various food by-products, enabling process adjustments that help preserve bioactive compounds and functional properties [16,18,19,20]. Applying such models to the convective drying of raspberry pomace can provide insights into the influence of specific drying conditions on moisture loss and quality retention, addressing existing gaps in the literature [19,20]. These models do more than predict drying curves; they facilitate the design of scalable and energy-efficient industrial processes, allowing manufacturers to balance efficiency and product quality. Given the dense fibrous structure and unique bioactive composition of raspberry pomace, the development of precise and tailored drying models is essential for achieving high-quality results. Such modeling supports energy-efficient practices, minimizes processing time, and ensures the retention of critical properties that enhance the value of raspberry pomace as a functional food ingredient [17], addressing both economic and environmental concerns in the food industry.
The drying process can significantly impact the quality of raspberry pomace, influencing its dietary fiber composition, techno-functional properties, and bioactive compound retention. Thermal treatments, such as those used in drying, can alter the structure of dietary fiber, potentially modifying its solubility and digestibility through processes such as depolymerization [21,22]. However, such treatments may also degrade heat-sensitive bioactive compounds, including phenolic compounds and anthocyanins, which contribute to the antioxidant activity [12,23]. Although research has examined the effects of drying on pomaces from other fruits, such as grapes, cranberries, blueberries, and apples, these findings vary depending on the composition and processing conditions. The distinct composition of raspberry pomace necessitates targeted research to understand how the drying conditions affect its properties [5,19,24]. Exploring the impact of different drying temperatures on fiber composition, techno-functional attributes (such as water- and oil-holding capacity), and retention of bioactive compounds in raspberry pomace can provide essential insights into preserving its nutritional and functional qualities, thus expanding its potential applications in the food industry.
This study aimed to bridge the knowledge gap by integrating mathematical modeling and experimental validation to identify the optimal convective drying temperature for raspberry pomace, transforming it into a fiber-rich, functional ingredient. A temperature range of 50–90 °C was selected to encompass moderate to high industrial drying conditions. Although higher temperatures, such as 90 °C, may reduce bioactive compounds, they can enhance dietary fiber solubility and techno-functional attributes [9]. Including 90 °C in the study enables assessment of whether the benefits of improved fiber properties and increased drying efficiency can offset potential reductions in bioactive compounds, providing a comprehensive understanding of optimal drying conditions. By comparing commonly used semi-empirical drying models, this study provides detailed insights into the drying kinetics of raspberry pomace, contributing to the development of efficient drying protocols that balance process efficiency and quality preservation. These findings support the sustainable valorization of raspberry pomace, promoting waste reduction and enhancing its role as a high-value ingredient in food production, aligning with the broader objectives of sustainability and resource optimization within the food industry.

2. Materials and Methods

2.1. Material and Preparation

All reagents and chemicals used for analysis were of analytical grade. The Folin-Ciocalteu reagent, 2,2-diphenyl-1-picrylhydrazyl (DPPH), 2,2′-azino-bis (3-ethylbenzothiazoline)-6-sulfonic acid (ABTS), gallic acid, ascorbic acid, potassium persulfate, and cyanidin-3-glucoside standard were purchased from Sigma-Aldrich (Saint Louis, MO, USA). HPLC-grade methanol and all reagents used for protein and fat determination were obtained from CTR Scientific (Zapopan, Jalisco, Mexico). Enzymatic kits for dietary fiber analysis (K-INTDF 06/13) were acquired from Megazyme (Wicklow, Ireland).
Raspberries (Rubus idaeus, var. ‘Adelita’) of second and third quality were acquired from local markets in Guadalajara, Mexico. The selection criteria were uniform size, color, and absence of visible damage. The samples were subsequently transported to the facilities of Tecnológico de Monterrey for analysis. The initial quality assessment involved measuring various physicochemical properties, such as pH, °Brix, titratable acidity, maturity index, and color (L*, a*, b*) as shown in Table S1, following AOAC methods 981.12, 932.12, and 942.15 [25,26,27].
The raspberries were washed, dried with absorbent paper, and pressed to extract juice using a manual citrus press (Vevor, YZQ-6A, Shanghai, China), yielding raspberry pomace. The pomace obtained was immediately homogenized using a food processor (IKA-Werke GmbH & Co. KG, A10 basic, Staufen, Germany) to achieve a uniform particle size. The homogenized pomace was then stored at 4 °C in airtight containers and processed within 24 h to minimize any degradation of bioactive compounds.

2.2. Experimental Set-Up and Drying Procedure

A dryer (Labotech, BDI-51, Mexico City, Mexico) was used to dry raspberry pomace (0.250 ± 0.001 kg per batch). The pomace was placed in a 0.25 × 0.20 × 0.01 m tray to ensure a uniform thickness of 0.01 m, verified with a caliper (Mitutoyo, CD-6” CSX, Kawasaki, Japan), and positioned in an aluminum container. Drying was performed at 50, 60, 70, 80, and 90 °C with a constant airflow of 2.5 m∙s−1. These temperatures were selected to represent a range of moderate to high drying conditions commonly used in industrial convective drying processes [9,12]. A constant airflow rate was maintained to ensure uniform drying conditions across all the samples. Moisture loss was recorded at 30-min intervals using an analytical balance (precision ±0.001 g) until the change in weight was less than 0.01% over three consecutive measurements, indicating that equilibrium moisture content had been reached.
Each drying condition was repeated three times to ensure consistency. A completely randomized design was used with three replicates for each drying temperature to assess the effect of temperature on the drying kinetics and product quality. After drying, the pomace was crushed using the IKA food processor and sieved through a 40-mesh screen (0.425 μm). The dried pomace powder was stored in vacuum-sealed low-density polyethylene bags, shielded from light for subsequent analyses. Bioactive compounds were evaluated after one day and techno-functional properties within 15 days.

2.3. Drying Kinetics

The moisture content (kg H2O∙kg−1 dry basis (db)) of the raspberry pomace was monitored throughout the drying process and expressed as the moisture ratio (MR, dimensionless) using Equation (1):
M R = M t M e M 0 M e
where Mt represents the moisture content at time t (min); M0 is the initial moisture content; and Me is the equilibrium moisture content (kg H2O∙kg−1 db), which is considered to be reached when the change in weight is less than 0.01% over three consecutive measurements [17]. Moisture content was assessed using the weight difference approach, with weights measured using an analytical balance (precision ± 0.001 g).
Drying rate (DR, kg H2O∙kg−1 db∙min−1) was calculated every 30 min using Equation (2):
D R = M t 1 M t 2 t 1 t 2
where Mt1 and Mt2 are the moisture contents at times t1 and t2, respectively [16].
Scanning electron microscopy (SEM) was used to examine the microstructural effects of drying temperature on raspberry pomace. The SEM methodology was adapted from Li et al. [4], with modifications to suit the current study. The samples were mounted on aluminum stubs with carbon adhesive tape and sputter-coated with a thin layer of gold to improve conductivity and prevent charging artifacts. Imaging was conducted using a scanning electron microscope (Phenom-World, Phenom ProX, Eindhoven, The Netherlands) operating at an accelerating voltage of 10 kV and a magnification of 1000×. Micrographs were obtained for samples dried at 50, 70, and 90 °C, representing the low, intermediate, and high ends of the temperature range studied. These specific temperatures were selected to observe the progression of structural changes associated with surface hardening across the drying spectrum.

2.4. Drying Process Modeling

Experimental data from the drying of raspberry pomace were fitted to five mathematical models to characterize thin-layer drying kinetics at various temperatures (Table 1). The selected models, Page, Modified Page, Henderson and Pabis, Logarithmic, and Midilli, are widely recognized for their applicability in modeling the drying behavior of agricultural products due to their capacity to accurately describe moisture loss patterns under drying conditions [16,18,19,20]. These models have been successfully applied in previous studies involving the drying kinetics of fruit and pomace materials, which supports their selection for assessing raspberry pomace drying behavior.
Model parameters (a, b, c, k, and n) were estimated using non-linear regression through the Solver function in Microsoft Excel (version 2306), adjusting parameters to minimize the sum of squared errors between the experimental and predicted MR values.
The goodness of fit for each model was evaluated using statistical criteria, including the coefficient of determination (R2), chi-square (χ2), mean squared error (MSE), sum of squared errors (SSE), root mean square error (RMSE), and corrected Akaike information criterion (AIC) (Table 2). These evaluations were used to identify the model that most accurately represented drying kinetics, facilitating the extrapolation of laboratory results to industrial applications.

2.5. Effective Moisture Diffusivity and Activation Energy

The effective moisture diffusivity (Deff, m2∙s−1) was determined to analyze the drying kinetics of the raspberry pomace. Fick’s second law of diffusion for one-dimensional moisture transport in a slab was initially applied, as shown in Equation (3).
M R = 8 π 2 e x p π 2 D c a l 4 L 2 t
where Dcal is the calculated moisture diffusivity (m2∙s−1), L is the half-thickness of the sample (m), and t is the drying time (min) [17].
Applying the natural logarithm to both sides of Equation (3) gives:
ln M R = l n 8 π 2 π 2 D c a l 4 L 2 t
The values of Dcal were obtained from the slope of the linear regression of ln(MR) versus the drying time t (Figure S1). However, since Fick’s model assumes constant diffusivity and does not account for acceleration phases or surface changes during drying, the Weibull model was employed for a more accurate representation of drying kinetics [30].
To calculate Deff, Dcal was adjusted using the geometric factor Rg as shown in Equation (5):
D e f f = D c a l R g
where Rg is a dimensionless geometric factor (13.1) specific for flat surfaces in the pomace sample geometry.
The activation energy (Ea, kJ∙mol−1) was calculated by analyzing the relationship between Deff and temperature using the Arrhenius equation (Equation (6)):
D e f f = D 0 e x p E a R T + 273.15
where D0 is the pre-exponential factor (m2∙s−1), R represents the universal gas constant (8.314 kJ∙mol−1·K−1), and T denotes the temperature (°C) [28]. The values of D0 and Ea were derived through non-linear regression of ln(Deff) versus the inverse temperature (1∙T−1, K) using Microsoft Excel (Figure S2).

2.6. Quality and Functionality of DRP After Convective Drying

The influence of convective drying on the quality of dried raspberry pomace (DRP) was assessed by examining changes in the distribution of dietary fiber fractions (both insoluble and soluble). These fractions influence the functional properties of the final product [9], including the techno-functional characteristics and bioactive compound content. Freeze-drying was selected as the reference method due to its well-documented effectiveness in preserving both nutritional and bioactive compounds [23]. The process was performed at –88 °C and 0.045 mbar using a freeze-drying unit (Labconco, FreeZone 4.5, Kansas City, MO, USA).

2.6.1. Dietary Fiber Composition

Total dietary fiber (TDF), including insoluble (IDF) and soluble (SDF) fractions, was determined in DRP using a modified AOAC 2011.25 method described by Garcia-Amezquita et al. [21] and the Megazyme Total Dietary Fiber Assay Kit (KTDFR, Wicklow, Ireland). Briefly, one gram of DRP was combined with 1 mL of 96% ethanol and 40 mL of maleate buffer containing pancreatic α-amylase (50 U∙mL−1) and amyloglucosidase (3.4 U∙mL−1). The mixture was incubated at 37 °C for 16 h with shaking at 150 rpm to facilitate enzymatic activity. The reaction was stopped by adding 3.0 mL of 0.75 M Tris, and the flasks were heated in a water bath at 95 °C for 20 min. After cooling to 60 °C, 0.1 mL of protease solution (350 U∙mL−1 tyrosine) was added, and the mixture was incubated at 60 °C for 30 min. The pH was adjusted to 4.3 with 4.0 mL of 2 M acetic acid.
Samples were filtered through fritted crucibles containing 2 g of Celite®, and the retained fraction was dried at 110 °C overnight to determine the IDF residue. The filtrate was combined with 280 mL of 95% ethanol preheated to 60 °C and filtered again through fritted crucibles containing 2 g Celite® to isolate the SDF residue. The IDF and SDF fractions were corrected by measuring and subtracting the residual protein and ash content from the final weight. TDF was calculated as the sum of IDF and SDF (g∙100 g−1 db).

2.6.2. Techno-Functional Properties

The techno-functional properties of DRP were analyzed to assess its potential applications in food products, following the method by Garcia-Amezquita et al. [21]. The properties evaluated included solubility (SOL, %), water-holding capacity (WHC, mL∙g−1), oil-holding capacity (OHC, mL∙g−1), swelling capacity (SC, mL∙g−1), and tapped density (TD, kg∙m−3). Briefly, SOL was assessed by dispersing 200 mg of DRP in 30 mL of water, stirring for 3 h at 25 °C, and centrifuging at 3000× g for 25 min at 15 °C. The residue was washed, filtered, dried at 60 °C for 24 h, and then weighed. WHC and OHC were determined by mixing 500 mg of DRP with 10 mL of water or oil, respectively, vortexing for 5 min, and allowing the mixture to rest for 18 h. The samples were centrifuged at 4500× g and 22 °C for 30 min. For WHC, the pellets were weighed before and after oven-drying at 60 °C. OHC was determined from the final volume after centrifugation. SC was measured by suspending 200 mg of DRP in 10 mL of water, stirring for 2 min, and letting it rest at 25 °C for 24 h; initial and final volumes were recorded. TD was assessed by filling a 10 mL test tube with the sample, tapping it manually 500 times to pack it uniformly, and recording the final volume. All measurements were performed in triplicate to ensure accuracy.

2.6.3. Bioactive and Antioxidant Properties

Bioactive compounds and antioxidant activity of DRP were determined to assess the impact of convective drying. Methanolic extracts of DRP were prepared for the analysis of total phenolic content (TPC, mg GAE·g−1 db), total anthocyanin content (TAC, mg C3G·g−1 db), and antioxidant capacity (mg AAE·g−1 db) using DPPH and ABTS assays. Briefly, TPC was measured using the Folin–Ciocalteu method with absorbance at 765 nm and gallic acid as the standard (5–200 μg∙mL−1) [3]. TAC was determined by the pH differential method, with absorbance readings at 510 and 700 nm, using cyanidin-3-glucoside as the standard [23]. Antioxidant capacity was assessed by ABTS and DPPH assays as described by İzli et al. and Gouw et al., with absorbance measured at 734 nm for ABTS and 515 nm for DPPH, using ascorbic acid as the standard (5–130 μg∙mL−1) [3,29].
Serial dilutions of the methanolic extracts were prepared within the concentration range specified for the standards to calculate the IC50 values [10]. The percentage inhibition (% inhibition) was determined according to Equation (7), and IC50 values were derived through non-linear regression analysis using Microsoft Excel.
%   I n h i b i t i o n = 1 A c A s A c × 100  
where Ac denotes the absorbance of the control, and As represents the absorbance of the sample.

2.7. Statistical Analysis

Results are presented as mean ± standard deviation (SD), with experiments performed in triplicate. Statistical analyses were performed using Minitab 17. An analysis of variance (ANOVA), followed by Tukey’s multiple comparison test, was conducted to determine significant differences among drying temperatures (50–90 °C) at α = 0.05. Data normality and homogeneity of variances were assessed using the Shapiro–Wilk and Levene’s tests, respectively. All statistical tests were two-tailed, and a p-value below 0.05 was considered significant.

3. Results and Discussion

3.1. Drying Kinetics

Figure 1 illustrates the effect of different drying temperatures (50–90 °C) on moisture reduction in raspberry pomace during convective drying. An increase in temperature led to a significant decrease in MR (Figure 1a), shortening the drying time from 810 to 210 min—a 74% reduction. This reduction implies potential energy savings and enhanced production capacity, both of which are beneficial for industrial applications. Figure 1b indicates an increase in the DR from 2.84 to 6.83 × 10−1 kg H2O∙kg−1 db∙min−1 as temperature rose, directly contributing to the reduced drying time. This can be attributed to the higher kinetic energy of water molecules, which increase molecular vibrations, generate internal heat, and raise vapor pressure within the material. The increased energy likely enables the molecules to overcome intermolecular forces, facilitating more efficient evaporation [31]. However, while higher temperatures improve drying efficiency, they may also degrade or alter the functional and bioactive properties of the product. Therefore, optimizing the drying conditions requires balancing energy savings with preserving the quality of the final product.
Mierzwa et al. [15] reported a drying time of 930 min (55 °C, 0.4 m·s−1, 19 mm) with an MR of 9.90 × 10−3 in a previous study on raspberry drying, compared to the 810 min observed at 50 °C in this work. These differences could be due to the smaller sample thickness (10 mm) and higher airflow rate (2.5 m·s−1) used in this study, which likely reduced moisture transport resistance and enhanced mass transfer rates [32]. Szadzińska et al. [33] reported a DR of 2.40 × 10−3 kg H2O∙kg−1 db∙min−1 (55 °C, 2.0 m·s−1, 23 mm), while Mierzwa et al. [15] documented 4.10 × 10−3 kg H2O∙kg−1 db∙min−1 (55 °C, 2.0 m·s−1, 19 mm). In this study, a significantly higher DR of 5.90 × 10−1 kg H2O∙kg−1 db∙min−1 (50 °C, 2.5 m·s−1, 10 mm) was observed, suggesting that optimizing the airflow and sample thickness could improve drying performance compared with previous conditions.
The equilibrium MR increased from 3.50 × 10−3 to 1.54 × 10−2 as drying temperatures rose, indicating higher moisture retention in the final product. Previous studies have demonstrated that increases in drying temperature (50 to 60 °C) can induce surface hardening in jackfruit, restricting moisture transfer from the interior to the surface and thereby increasing moisture retention within the product [34]. SEM analysis of raspberry pomace dried at 50, 70, and 90 °C, representing low, intermediate, and high temperatures, respectively (Figure 2), provided insights into these microstructural changes.
At 50 °C (Figure 2a), the pomace exhibited a loosely packed structure with minimal cell collapse, suggesting that low-temperature drying may help preserve the cell wall integrity and facilitate efficient moisture release. At 70 °C (Figure 2b), partial cell collapse and densification were observed, indicating the initial stages of surface hardening. At 90 °C (Figure 2c), the SEM micrograph showed significant structural compaction, consistent with severe surface hardening. This progression in microstructural changes with increasing temperature may explain the observed increase in moisture retention by limiting moisture release from the inner matrix to the surface. These findings are consistent with those reported by Leelawat et al. [34], who observed a similar relationship between surface hardening and increased moisture retention in jackfruit. Confocal laser scanning microscopy could be explored in future studies to provide complementary insights into microstructural changes, offering a more detailed view of cell wall integrity and moisture distribution under varying drying conditions.
In industrial applications, surface hardening must be carefully controlled, as this phenomenon can compromise product texture and reduce shelf life by restricting moisture migration from the interior to the surface. Retained moisture may increase internal water activity, raising the risk of microbial growth and compromising storage stability. Even low-moisture foods can retain viable pathogens during storage, highlighting the critical importance of effective moisture control and careful optimization of drying conditions to ensure both product safety and quality [35]. Optimizing drying conditions to minimize surface hardening and preserve texture is essential for extending the shelf life of raspberry pomace while balancing energy efficiency and high product quality in industrial applications.

3.2. Drying Process Modeling

Five mathematical models were employed to study the drying kinetics of raspberry pomace, as shown in Table 1, to characterize and predict drying behavior. Table 3 summarizes the parameters obtained from each model and the corresponding statistical metrics, offering insights into key aspects of the drying process.
Table 3 shows that the constant k, which represents the DR constant, increased with temperature across all models, highlighting the role of temperature in accelerating the drying process. The highest k values were recorded in the Modified Page model (0.5064–0.9867), followed by the Page model (0.3344–0.9282). The elevated k values in the Modified Page model suggest that this model may be more suitable for processes prioritizing drying speed over product quality [20]. The curvature factor n also increased with temperature, which may indicate shifts in DR dynamics. Higher n values (>1) in the Page model (1.0569 to 1.1896) suggest a faster initial DR, which could be beneficial for rapidly reducing moisture and thereby limiting microbial growth and spoilage [36]. Conversely, lower n values (<1) in the Modified Page model (0.5063 to 0.9867) suggest a more gradual DR, which may help preserve product quality by preventing over-drying [9,13].
The constant a, associated with the initial moisture content of the samples, showed similar values in the Midilli model (1.0134–1.0220) and the Henderson–Pabis and Logarithmic models (1.0082–1.0242), which may suggest consistent initial moisture conditions across varying temperatures. This consistency is crucial for repeatability and enhances the reliability of these models in process standardization [13]. The absence of constants b and c in the Midilli and Logarithmic models suggests that fewer parameters are needed to describe the drying kinetics, potentially simplifying the modeling process [9]. This simplification may be advantageous in practical applications where computational efficiency is essential, as it reduces model complexity.
Statistical analysis showed that all the models provided a strong fit to the drying kinetics, with R2 values ranging from 0.9867 to 0.9997. However, among the models, the Page model demonstrated the best fit (Table 3), with higher R2 values (0.9965–0.9997) and lower values for χ2 (0.0242–0.0849), MSE (0.0002–0.0004), RMSE (0.0046–0.0201), SSE (0.0006–0.0041), and AICC (−249.5219 to −66.5573) across all temperatures. As illustrated in Figure 1a, the experimental and predicted MR values using the Page model at various temperatures demonstrate the excellent fit of this model to the data. This performance aligns with its reported effectiveness for other berries, such as blueberries and cranberries, where it has demonstrated high accuracy under varying conditions [19,28]. The ability of this model to capture both the initial drying rate (n) and the curvature factor (k) may support effective moisture management, establishing it as a reliable tool for predicting drying kinetics in raspberry pomace. Overall, the Page model appears to be a valuable tool for optimizing industrial drying processes, aiding in the maintenance of product quality.

3.3. Effective Moisture Diffusivity and Activation Energy

As shown in Figure 3, Deff increased significantly from 6.56 × 10−11 to 2.85 × 10−10 m2∙s−1 as the drying temperature rose from 50 to 90 °C (p < 0.05), indicating enhanced moisture diffusion at higher temperatures. This 335% increase highlights the substantial impact of elevated drying temperatures on moisture diffusion in raspberry pomace, aligning with findings for other fruits such as blueberries and mangoes, where higher temperatures similarly enhanced diffusivity [16,28]. The Ea of 34.90 kJ∙mol−1, calculated using the Arrhenius model, indicates the energy required to overcome the moisture diffusion barriers in the raspberry pomace. This value is notably higher than those reported for blueberry pomace (23.12 kJ∙mol−1) and grape pomace (27.56 kJ∙mol−1) [18,28], suggesting greater resistance to moisture diffusion in raspberry pomace.
This higher Ea value compared to other fruit pomaces may be attributed to the unique microstructural composition of raspberry pomace, which includes substantial amounts of insoluble fiber and phenolic compounds that could restrict water movement within the matrix [5,37]. Elevated temperatures can reduce structural barriers such as cell walls and intercellular spaces. However, the drying process can also induce significant interactions between macromolecules, such as polysaccharides, proteins, and polyphenols, potentially leading to the formation of complexes that contribute to matrix densification. As demonstrated in previous studies, these interactions, often facilitated by elevated temperatures, can result in a denser structure, which further restricts moisture diffusion and may influence product stability due to localized areas of higher water activity [38,39].
Understanding these factors is essential for optimizing the drying process to achieve effective moisture removal while preserving the nutritional and functional properties of raspberry pomace. The findings from this study provide a basis for optimizing future drying conditions to maximize Deff while maintaining product quality. Adjusting drying temperatures to enhance moisture diffusivity and potentially incorporating pretreatments to modify cell structure could help reduce resistance to moisture movement and lower the Ea required for diffusion. Such optimizations may improve both efficiency and product quality in industrial drying applications.

3.4. Quality and Functionality of DRP After Convective Drying

3.4.1. Dietary Fiber Composition

Table 4 presents the TDF values from DRP, including IDF and SDF proportions, at different convective drying temperatures (50 to 90 °C). Although TDF content remained consistent across treatments (p > 0.05, Table 4), drying at 70 °C led to a significant shift in fiber composition. This temperature resulted in a decrease in IDF and a corresponding increase in SDF, resulting in a more favorable SDF:IDF ratio compared to the freeze-dried control (p < 0.05, Table 4). At 70 °C, SDF increased to 3.37 g∙100 g−1 db, representing a 43.40% increase over the freeze-dried control (2.35 g∙100 g−1 db), while IDF decreased from 61.78 to 56.03 g∙100 g−1 db. These results suggest that drying at 70 °C may enhance fiber solubilization by converting insoluble fibers into soluble forms. This transformation may result from the thermal degradation of polysaccharides, such as hemicellulose and cellulose, which begins with depolymerization through the cleavage of glycosidic bonds, forming smaller and more soluble carbohydrate chains at higher temperatures [40]. This thermally driven conversion process has been observed in other studies involving glycosidic bond breakdown [41,42]. The shift in the SDF:IDF ratio from 0.04:1 to 0.07:1 further supports these findings, highlighting the impact of drying temperature on the fiber composition of raspberry pomace. These insights could be valuable for optimizing processing conditions to enhance the functional properties of raspberry pomace.
The TDF values observed in this study (52.52 to 64.76 g∙100 g−1 db) are consistent with those reported by Fotschki et al. and Šaric et al., confirming the high fiber content in raspberry pomace [2,7]. This study specifically investigated the impact of varying drying temperatures on SDF and IDF balance, which may be significant for developing functional ingredients. Previous studies have reported IDF content at specific drying temperatures, such as 50.41 g∙100 g−1 db at 45 °C and 38.13 g∙100 g−1 db at 110 °C [3,7]. Although these studies focused on individual temperatures, their findings suggest that higher temperatures tend to reduce the IDF content. In the present study, a significant decrease in IDF was observed when the drying temperature exceeded 70 °C (p < 0.05), suggesting that thermal degradation may influence fiber composition. This trend is further supported by Vega-Gálvez et al. [43], who reported a decrease in IDF from 46.98 g∙100 g−1 db in fresh cape gooseberry to 35.45 g∙100 g−1 db at 80 °C, accompanied by an increase in SDF. These findings suggest that elevated drying temperatures could promote the conversion of IDF to SDF by breaking down more complex polysaccharides, thereby enhancing soluble fiber content [41,42].
Endogenous enzymes, such as pectin methyl esterase (PME) and cellulase, may also facilitate the breakdown of insoluble fiber into soluble forms, particularly at moderate drying temperatures (50–70 °C). PME catalyzes the de-esterification of pectin, enhancing its solubility, whereas cellulase breaks down cellulose into smaller, more soluble fragments [21]. Similar fiber modification has been reported in other fruit pomaces, such as apples, where thermal treatments have been shown to influence pectin solubilization and structural changes, potentially involving endogenous enzymatic activity during processing [44]. However, at higher temperatures, thermal degradation is likely to be the primary mechanism driving the increase in fiber solubility.
Variations in SDF and IDF contents may influence the potential use of DRP as a fiber-rich ingredient in food products. The significant increase in SDF content observed at 70 °C (p < 0.05) suggests that adjusting drying conditions could enhance fiber solubilization, consistent with studies emphasizing the importance of optimizing fiber fraction for functional applications [7]. An increase in SDF content may improve the functional properties of raspberry pomace in food applications, as SDF is associated with enhanced texture, viscosity, and potential health benefits [37]. Further investigation of enzymatic activity during drying could help clarify the mechanisms driving these fiber transformations at different temperatures. Assessing the storage stability of the modified fiber fractions is essential to determining their structural integrity over time, including evaluating whether the fibers undergo degradation or structural changes during long-term storage that could impact their performance in food formulations.

3.4.2. Techno-Functional Properties

Table 5 shows the changes in the techno-functional properties (SOL, WHC, OHC, SC, and TD) of the DRP subjected to convective drying at different temperatures. At 50 °C, SOL significantly decreased to 65.2% compared with the freeze-dried control (76.0%, p < 0.05). This suggests that lower drying temperatures may limit solubility by restricting the breakdown of the fiber matrix, which is necessary for releasing the soluble components [22]. This observation aligns with findings in mango (50–70 °C) and pumpkin (60–80 °C), where low drying temperatures similarly limited the release of soluble components [16,29]. As the drying temperature increased, SOL reached peak values between 70 and 90 °C (71.8–72.6%), with no significant differences compared with the control (p > 0.05). This increase in SOL may be due to the partial hydrolysis of insoluble polysaccharides, such as hemicelluloses and cellulose, which have been shown to enhance the availability of soluble components in studies of artichoke by-products [45]. The increase in SDF observed at 70 °C (Section 3.4.1) suggests the conversion of IDF to SDF, which may contribute to the enhanced solubility at this temperature.
In contrast, studies on blueberry pomace have indicated that thermal treatments such as convective drying compared to freeze-drying can significantly reduce solubility [46]. García-Amezquita et al. [22] indicated that thermal processes can alter the dietary fiber content of different agricultural by-products, promoting interactions between hydrolyzed carbohydrates and other macromolecules, which lead to the formation of insoluble complexes. These differing results suggest that the mechanisms influencing SOL during drying may vary depending on the specific types of pomaces and plant material. Further studies are recommended to clarify the mechanisms underlying the increased SOL in DRP at higher temperatures. Enhanced solubility could make DRP suitable for applications in products such as beverages, soups, and sauces, where high solubility facilitates incorporation into liquid formulations without compromising the texture.
WHC did not show significant differences across drying temperatures from 50 to 80 °C, maintaining values at approximately 8.05 ± 0.26 mL∙g−1 db (p > 0.05). However, these values were approximately 31.78% lower than those of the freeze-dried control (11.8 mL∙g−1 db). This reduction may be linked to decreased porosity and structural changes observed in SEM micrographs (Figure 2), which showed a more compact microstructure at higher temperatures. Similar reductions in WHC due to decreased porosity have been reported for other fruit pomaces subjected to convective drying, such as apple pomace [24]. These findings, along with similar results for pumpkin powder (where WHC decreased from 7.5 to 6.4 mL∙g−1 db as drying temperature increased from 60 to 80 °C), suggest that thermal degradation frequently affects WHC in fruit materials [29]. This highlights the need to carefully regulate the drying conditions to preserve the functional properties of DRP and similar by-products. Reduced WHC at higher temperatures may limit the use of DRP in moisture-sensitive products, such as baked goods that require high moisture retention for texture and extended shelf life [47]. Therefore, maintaining drying temperatures below 80 °C may be advantageous for applications requiring higher WHC.
OHC was affected by the drying temperature. The lowest values were recorded at 50 and 60 °C (2.35 ± 0.07 mL∙g−1 db), representing a significant 28.79% reduction compared with the freeze-dried samples (3.3 mL∙g−1 db, p < 0.05). At 70 °C, OHC increased to 3.0 mL·g−1 db, similar to the control (p > 0.05), suggesting that this temperature may be favorable for maintaining oil retention capacity. This property is beneficial in products requiring fat absorption and emulsification, such as dressings, mayonnaise, and bakery items, where oil retention enhances mouthfeel and texture [5,48,49]. Li et al. [4] reported an OHC of 2.5 mL∙g−1 db at 40 °C for raspberry pomace, which aligns with our values at 50 and 60 °C, suggesting that OHC is reduced at lower drying temperatures. At 80 and 90 °C, OHC decreased to 1.7 and 2.0 mL∙g−1 db, respectively, significantly lower than the control (p < 0.05). This reduction may be attributed to the decomposition of lipophilic components, such as polyunsaturated fatty acids (linoleic and γ-linolenic acid) and tocopherols, which are mainly present in the seed fraction of the pomace [8,48]. Furthermore, structural changes in the fiber structure, including lignin and cellulose modifications, may also contribute to reducing the oil absorption [24].
SC gradually decreased with rising drying temperature, leading to a 53.95% reduction at 70–90 °C (7.0 ± 0.1 mL∙g−1 db) compared with the freeze-dried samples (15.2 mL∙g−1 db, p < 0.05). SEM micrographs (Figure 2) indicated that higher temperatures produced a denser, more compact microstructure, potentially restricting the ability of the fiber to absorb water and swell. Thermal processing has been shown to degrade polysaccharides in plant materials, such as Aloe vera, resulting in the breakdown of polymer chains, significant deacetylation of mannose units, and a reduction in molecular weight. These structural changes negatively affect the fibers’ ability to retain water, thereby diminishing their SC [50]. A similar effect may occur in DRP, potentially limiting its use in products where swelling is important for texture and satiety, such as cereals, snacks, and meat extenders [51]. İzli et al. [29] and Llavata et al. [24] observed similar reductions in SC in pumpkin powder (11.20−9.64 mL∙g−1 db, 60 to 80 °C) and apple pomace (13.18–10.61 mL∙g−1 db, 40 to 120 °C), aligning with these findings. Although lower temperatures (50–60 °C) resulted in higher SC, the prolonged drying times required may increase costs. Enzymatic pretreatments, as shown with green yuzu powders, can enhance SC and WHC, suggesting their use for maintaining functional properties in DRP at higher drying temperatures [52].
TD increased as the drying temperature rose. Between 50 and 80 °C, TD values ranged from 311.5 to 322.6 kg∙m−3 db, without significant differences (p > 0.05). However, at 90 °C, TD reached 362.1 kg∙m−3 db, indicating a significant 29% increase compared with the freeze-dried control (279 kg∙m−3 db, p < 0.05). This increase in TD may be associated with the structural compaction and reduced porosity observed in the SEM micrographs at higher temperatures (Figure 2), where cell walls appeared more compact and intercellular spaces were diminished. While a higher TD can reduce storage and transportation costs by enabling more products per unit volume, it may impact bulk density-related functionality in food applications, potentially affecting mixing properties and causing segregation or reduced mixture homogeneity [9,53]. Michalska et al. [53] observed a similar increase in plum powder density when dried between 50 and 70 °C, supporting this trend. For applications requiring lower bulk density to improve texture and volume, such as bakery products, drying at temperatures between 60 and 70 °C may help maintain a relatively low TD and preserve desirable sensory attributes.
As shown in Table 5, drying at 70 °C significantly improved the techno-functional properties of DRP, particularly SOL and OHC, while maintaining acceptable levels of WHC and SC. These findings suggest that drying at 70 °C may be optimal for enhancing these properties, indicating that DRP could serve as a functional ingredient in products with high solubility and oil retention, such as sauces, dressings, bakery goods, and meat products [48,49]. The increase in SOL and OHC at 70 °C suggests that DRP may possess additional techno-functional properties such as emulsifying, foaming, and gelling capabilities, which could broaden its applicability for improving texture in various food applications [54,55]. However, these properties were not directly evaluated in this study, highlighting a potential area for further research. The decrease in WHC and SC at higher temperatures suggests that maintaining lower drying temperatures may be crucial for applications that require moisture retention, such as bakery products. Future studies should examine the extent to which reductions in WHC and SC impact the DRP performance in such applications. Prior studies have indicated that pre-drying enzymatic treatments can help preserve porosity and specific techno-functional properties, such as water and oil retention [52]. Further research could assess the potential of these treatments to enhance the DRP performance at higher temperatures.

3.4.3. Bioactive and Antioxidant Properties

Figure 4 shows the TPC, TAC, and antioxidant capacity of DRP at different drying temperatures. The TPC of raspberry pomace was significantly influenced by the drying temperature. The lowest TPC was observed at 50 °C (20.13 mg GAE∙g−1 db, p < 0.05), potentially due to the prolonged drying time at lower temperatures, which increased exposure to heat and oxygen, promoting the oxidation and degradation of phenolic compounds [56]. At 70 °C, the TPC increased to 32.10 mg GAE∙g−1 db, significantly higher than at 50 °C (p < 0.05), suggesting that drying at this temperature may facilitate the release of phenolics from the pomace matrix. These findings are consistent with previous studies, like Stamenkovic et al. [23], who reported increases in TPC (1.07 to 1.28 g GAE∙100 g−1 db) in whole raspberries dried between 60 and 80 °C. Between 70 and 90 °C, the TPC remained stable with minor fluctuations (32.44 ± 0.55 mg GAE∙g−1 db), suggesting that the release of matrix-bound phenolics may offset initial thermal losses [57]. However, a 22.8% reduction compared to freeze-dried control (42.06 mg GAE∙g−1 db) was still observed, indicating that, while drying at these temperatures is partially effective, it does not achieve the same level of preservation as freeze-drying. Therefore, although drying at 70 °C provides a balance between processing efficiency and partial preservation of phenolic compounds, additional strategies may be needed to improve bioactive retention for the development of antioxidant-rich functional ingredients.
Anthocyanins, the compounds responsible for the vibrant red color of raspberry pomace, were particularly sensitive to drying temperature. As shown in Figure 4, at 50 °C, the TAC reached its lowest value (14.84 mg C3G∙g−1 db, p < 0.05), possibly due to prolonged exposure leading to thermal degradation, involving the breakdown of glycosidic bonds and the formation of less stable compounds [58]. The highest TAC was observed at 70 °C (25.84 mg C3G∙g−1 db), significantly higher than at other convective drying temperatures (p < 0.05), suggesting that this temperature may balance anthocyanin release and degradation. This finding implies that drying at 70 °C may be favorable for maintaining anthocyanin content in food products where natural colorants and antioxidant properties are desired [59]. However, at 80 and 90 °C, the TAC significantly decreased (15.22 and 15.10 mg C3G∙g−1 db, respectively, p < 0.05), reinforcing the notion that higher temperatures accelerate the degradation of these heat-sensitive pigments [58,60]. Despite the relative effectiveness of drying at 70 °C, there was still a 37.69% reduction compared with freeze-drying (41.47 mg C3G∙g−1 db), emphasizing the need to explore strategies to further protect anthocyanins during drying.
The antioxidant capacity of DRP, assessed through DPPH and ABTS assays, was also significantly influenced by drying temperature. At 50 °C, antioxidant activity was low (21.25 mg AAE∙g−1 db for DPPH and 27.72 mg AAE∙g−1 db for ABTS, p < 0.05), likely due to the degradation of heat-sensitive antioxidant compounds during prolonged drying [56]. This observation aligns with the reduced TPC and TAC levels observed at this temperature, suggesting similar degradation pathways for phenolic and anthocyanin compounds [46,58,60]. At 70 °C, antioxidant activity increased significantly (p < 0.05) to 33.29 mg AAE∙g−1 db for DPPH and 35.85 mg AAE∙g−1 db for ABTS, with corresponding IC50 values of 0.016 and 0.029 mg∙mL−1, respectively. This enhancement may result not only from better retention of antioxidant compounds but also from changes in their interactions with the pomace matrix, which can influence the overall efficacy [61]. However, at 90 °C, a decline in antioxidant activity was observed (29.14 mg AAE∙g−1 db for DPPH and 31.02 mg AAE∙g−1 db for ABTS, p < 0.05), and the IC50 values increased, indicating reduced potency at elevated temperatures. This suggests that higher temperatures accelerate the breakdown of the bioactive compounds [57]. It is important to consider that the antioxidant effectiveness of dried products may vary under different conditions, such as temperature and pH levels. These factors can influence the stability and potential autooxidation of phenolic compounds, thereby impacting their antioxidant capacity in food systems or within the human body [61]. Further studies evaluating the stability and bioactivity of these compounds under diverse conditions are necessary to fully understand their functional potential.
The observed influence of drying temperature on the retention of bioactive compounds in DRP has important implications for its application in the food and nutraceutical industries. Although drying at 70 °C appears to provide a compromise between processing efficiency and moderate preservation of phenolic compounds and anthocyanins, the significant reductions in these compounds compared to freeze-dried samples highlight the need for further optimization. Incorporating techniques that reduce the drying time and thermal exposure, such as combining microwave-assisted drying with convective drying, could be an effective solution [14]. Although microwave drying can cause uneven heating if the parameters are not precisely controlled, integrating it with convective drying could reduce the overall heat exposure, potentially minimizing thermal degradation of sensitive compounds. Optimizing this combined drying approach may enhance the bioactive retention and improve the viability of DRP as a high-value functional ingredient, supporting the development of innovative functional foods and contributing to waste reduction in the berry industry.

4. Conclusions

The convective drying process of raspberry pomace was successfully modeled, identifying 70 °C as the optimal temperature for producing a high-quality, fiber-rich functional ingredient. The drying kinetics were accurately described by the Page model (R2 = 0.9965–0.9997), enabling the effective prediction and optimization of the drying process. Drying at 70 °C led to significant increases in drying rate and effective moisture diffusivity, thus enhancing process efficiency. The total dietary fiber content was preserved, while soluble dietary fiber increased by 43.40%, leading to enhanced techno-functional properties such as solubility, water-holding capacity, and oil-holding capacity. In addition, high levels of phenolic compounds and anthocyanins were retained, resulting in significant antioxidant activity. Overall, these findings demonstrate that convective drying at 70 °C effectively balances process efficiency and the preservation of functional and bioactive properties, supporting the sustainable valorization of raspberry pomace in the food industry.

Supplementary Materials

The following supporting information can be downloaded at: https://www.mdpi.com/article/10.3390/foods13223597/s1. Table S1: Physicochemical characterization of raspberries (Rubus idaeus, Var. ‘Adelita’). Table S2: Linear regression equations derived from ln MR versus drying time for different drying temperatures. Figure S1: Plot of the natural logarithm of effective moisture diffusivity (ln Deff) versus the inverse of absolute temperature (1∙T−1) for raspberry pomace dried at different temperatures (50, 60, 70, 80, and 90 °C). Figure S2: Linear regression of the natural logarithm of the moisture ratio (ln MR) versus drying time for raspberry pomace at different drying temperatures (50, 60, 70, 80, and 90 °C).

Author Contributions

Conceptualization; J.P.T.-M., B.C.E.-P., A.Z.-P., V.T.-O., T.G.-C. and L.E.G.-A. Methodology; J.P.T.-M. Formal analysis; J.P.T.-M. and L.E.G.-A. Investigation; J.P.T.-M., B.C.E.-P. and A.Z.-P. Data curation; J.P.T.-M., V.T.-O., T.G.-C. and L.E.G.-A. Writing—original draft; J.P.T.-M. Writing—review and editing; J.P.T.-M., B.C.E.-P., A.Z.-P., V.T.-O., T.G.-C. and L.E.G.-A. Resources; T.G.-C. and L.E.G.-A. Project administration and funding acquisition; L.E.G.-A. All authors have read and agreed to the published version of the manuscript.

Funding

This work was supported by Secretaría de Innovación, Ciencia y Tecnología de Jalisco, Consejo Estatal de Ciencia y Tecnología de Jalisco (COECYTJAL), Tecnologico de Monterrey (Project FODECIJAL 9748-2021), and Challenge-Based Research Funding Program 2022 from Tecnologico de Monterrey (Project E071-EIC-GI02-A-T11-D). José Pedro Tejeda Miramontes (CVU 557607) also acknowledges the Consejo Nacional de Humanidades, Ciencia y Tecnología (CONAHCyT) for scholarship funding and Tecnologico de Monterrey for academic support in this article.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

The data generated in this work are available upon request from the corresponding author. The data are not publicly available due to privacy restrictions.

Acknowledgments

The authors would like to thank Ricardo de Jesús Montiel López, a student, for his invaluable assistance in completing the additional experimental studies for this research. His contributions were essential to the successful advancement of this work.

Conflicts of Interest

The authors declare no competing financial interests.

References

  1. FAO. The State of Food Security and Nutrition in the World. Available online: https://www.fao.org/3/ca9692en/ca9692en.pdf (accessed on 29 September 2024).
  2. Fotschki, B.; Juśkiewicz, J.; Jurgoński, A.; Kosmala, M.; Milala, J.; Zduńczyk, Z.; Markowski, J. Grinding levels of raspberry pomace affect intestinal microbial activity, lipid and glucose metabolism in Wistar rats. Food Res. Int. 2019, 120, 399–406. [Google Scholar] [CrossRef] [PubMed]
  3. Gouw, V.P.; Jung, J.; Zhao, Y. Functional properties, bioactive compounds, and in vitro gastrointestinal digestion study of dried fruit pomace powders as functional food ingredients. LWT Food Sci. Technol. 2017, 80, 136–144. [Google Scholar] [CrossRef]
  4. Li, M.; Liu, Y.; Yang, G.; Sun, L.; Song, X.; Chen, Q.; Bao, Y.; Luo, T.; Wang, J. Microstructure, physicochemical properties, and adsorption capacity of deoiled red raspberry pomace and its total dietary fiber. LWT Food Sci. Technol. 2022, 153, 112478. [Google Scholar] [CrossRef]
  5. Baenas, N.; Nunez-Gomez, V.; Navarro-Gonzalez, I.; Sanchez-Martinez, L.; Garcia-Alonso, J.; Periago, M.J.; Gonzalez-Barrio, R. Raspberry dietary fibre: Chemical properties, functional evaluation and prebiotic in vitro effect. LWT Food Sci. Technol. 2020, 134, 110140. [Google Scholar] [CrossRef]
  6. Krivokapić, S.; Vlaović, M.; Damjanović Vratnica, B.; Perović, A.; Perović, S. Biowaste as a potential source of bioactive compounds—A case study of raspberry fruit pomace. Foods 2021, 10, 706. [Google Scholar] [CrossRef]
  7. Šarić, B.; Dapčević-Hadnađev, T.; Hadnađev, M.; Sakač, M.; Mandić, A.; Mišan, A.; Škrobot, D. Fiber concentrates from raspberry and blueberry pomace in gluten-free cookie formulation: Effect on dough rheology and cookie baking properties. J. Texture Stud. 2019, 50, 124–130. [Google Scholar] [CrossRef]
  8. Luo, Y.; Yuan, F.; Li, Y.; Wang, J.; Gao, B.; Yu, L. Triacylglycerol and fatty acid compositions of blackberry, red raspberry, black raspberry, blueberry and cranberry seed oils by ultra-performance convergence chromatography-quadrupole time-of-flight mass spectrometry. Foods 2021, 10, 2530. [Google Scholar] [CrossRef]
  9. Tejeda-Miramonte, J.P.; González-Frías, S.E.; Padlon-Manjarrez, S.; García-Cayuela, T.; Tejada-Ortigoza, V.; Garcia-Amezquita, L.E. Obtaining a fiber-rich ingredient from blueberry pomace through convective drying: Process modeling and its impact on techno-functional and bioactive properties. LWT Food Sci. Technol. 2024, 210, 116862. [Google Scholar] [CrossRef]
  10. Zhang, L.; Zhang, C.; Wei, Z.; Huang, W.; Yan, Z.; Luo, Z.; Beta, T.; Xu, X. Effects of four drying methods on the quality, antioxidant activity and anthocyanin components of blueberry pomace. Food Prod. Process. Nutr. 2023, 5, 35. [Google Scholar] [CrossRef]
  11. Si, X.; Chen, Q.; Bi, J.; Wu, X.; Yi, J.; Zhou, L.; Li, Z. Comparison of different drying methods on the physical properties, bioactive compounds and antioxidant activity of raspberry powders. J. Sci. Food Agric. 2016, 96, 2055–2062. [Google Scholar] [CrossRef]
  12. Zielinska, M.; Ropelewska, E.; Xiao, H.W.; Mujumdar, A.S.; Law, C.L. Review of recent applications and research progress in hybrid and combined microwave-assisted drying of food products: Quality properties. Crit. Rev. Food Sci. Nutr. 2020, 60, 2212–2264. [Google Scholar] [CrossRef] [PubMed]
  13. Kusuma, H.S.; Izzah, D.N.; Linggajati, I.W.L. Microwave-assisted drying of Ocimum sanctum leaves: Analysis of moisture content, drying kinetic model, and techno-economics. Appl. Food Res. 2023, 3, 100337. [Google Scholar] [CrossRef]
  14. Chatzilia, T.; Kaderides, K.; Goula, A.M. Drying of peaches by a combination of convective and microwave methods. J. Food Process Eng. 2023, 46, e14296. [Google Scholar] [CrossRef]
  15. Mierzwa, D.; Szadzińska, J.; Pawłowski, A.; Pashminehazar, R.; Kharaghani, A. Nonstationary convective drying of raspberries, assisted by microwaves and ultrasound. Dry. Technol. 2019, 37, 988–1001. [Google Scholar] [CrossRef]
  16. Mishra, M.; Kandasamy, P.; Shukla, R.N.; Kumar, A. Convective hot-air drying of green mango: Influence of hot water blanching and chemical pretreatments on drying kinetics and physicochemical properties of dried product. Small Fruits Rev. 2021, 21, 732–757. [Google Scholar] [CrossRef]
  17. Hadibi, T.; Mennouche, D.; Boubekri, A.; Arıcı, M.; Wang, Y.; Li, M.; Hassanien, R.H.E.; Shirkole, S.S. Experimental investigation, performance analysis, and optimization of hot air convective drying of date fruits via response surface methodology. Renew. Energy 2024, 226, 120404. [Google Scholar] [CrossRef]
  18. Poblete, J.; Quispe-Fuentes, I.; Aranda, M.; Vega-Gálvez, A. Application of vacuum and convective drying processes for the valorization of pisco grape pomace to enhance the retention of its bioactive compounds. Waste Biomass Valorization 2024, 15, 3093–3107. [Google Scholar] [CrossRef]
  19. Ross, K.A.; DeLury, N.; Fukumoto, L.; Diarra, M.S. Dried berry pomace as a source of high value-added bioproduct: Drying kinetics and bioactive quality indices. Int. J. Food Prop. 2020, 23, 2123–2143. [Google Scholar] [CrossRef]
  20. Sridhar, K.; Charles, A.L. Mathematical modeling and effect of drying temperature on physicochemical properties of new commercial grape “Kyoho” seeds. J. Food Process Eng. 2020, 43, e13203. [Google Scholar] [CrossRef]
  21. Garcia-Amezquita, L.E.; Tejada-Ortigoza, V.; Campanella, O.H.; Welti-Chanes, J. Influence of drying method on the composition, physicochemical properties, and prebiotic potential of dietary fibre concentrates from fruit peels. J. Food Qual. 2018, 2018, 9105237. [Google Scholar] [CrossRef]
  22. Garcia-Amezquita, L.E.; Tejada-Ortigoza, V.; Torres, J.A.; Welti-Chanes, J. Extraction and modification of dietary fiber applying thermal processes. In Science and Technology of Fibers in Food Systems; Welti-Chanes, J., Serna-Saldívar, S.O., Campanella, O., Tejada-Ortigoza, V., Eds.; Springer: Cham, Switzerland, 2020; pp. 329–342. [Google Scholar]
  23. Stamenković, Z.; Pavkov, I.; Radojčin, M.; Tepić Horecki, A.; Kešelj, K.; Bursać Kovačević, D.; Putnik, P. Convective drying of fresh and frozen raspberries and change of their physical and nutritive properties. Foods 2019, 8, 251. [Google Scholar] [CrossRef] [PubMed]
  24. Llavata, B.; Picinelli, A.; Simal, S.; Carcel, J.A. Cider apple pomace as a source of nutrients: Evaluation of the polyphenolic profile, antioxidant and fiber properties after drying process at different temperatures. Food Chem. X 2022, 15, 100403. [Google Scholar] [CrossRef]
  25. AOAC International. Fruits and Fruit Products. In Official Methods of Analysis, 21st ed.; Methods 981.12; AOAC International: Rockville, MD, USA, 2019; Chapter 37. [Google Scholar]
  26. AOAC International. Sugar and Sugar Products. In Official Methods of Analysis, 21st ed.; Methods 932.12; AOAC International: Rockville, MD, USA, 2019; Chapter 44. [Google Scholar]
  27. AOAC International. Vitamins and Other Nutrients. In Official Methods of Analysis, 21st ed.; Methods 942.15; AOAC International: Rockville, MD, USA, 2019; Chapter 45. [Google Scholar]
  28. Martín-Gómez, J.; Varo, M.Á.; Mérida, J.; Serratosa, M.P. Influence of drying processes on anthocyanin profiles, total phenolic compounds and antioxidant activities of blueberry (Vaccinium corymbosum). LWT Food Sci. Technol. 2020, 120, 108931. [Google Scholar] [CrossRef]
  29. İzli, G.; Yildiz, G.; Berk, S.E. Quality retention in pumpkin powder dried by combined microwave-convective drying. J. Food Sci. Technol. 2022, 59, 1558–1569. [Google Scholar] [CrossRef] [PubMed]
  30. Dai, J.W.; Rao, J.Q.; Wang, D.; Xie, L.; Xiao, H.W.; Liu, Y.H.; Gao, Z.J. Process-based drying temperature and humidity integration control enhances drying kinetics of apricot halves. Dry. Technol. 2015, 33, 365–376. [Google Scholar] [CrossRef]
  31. Delfiya, D.A.; Prashob, K.; Murali, S.; Alfiya, P.V.; Samuel, M.P.; Pandiselvam, R. Drying kinetics of food materials in infrared radiation drying: A review. J. Food Process Eng. 2022, 45, e13810. [Google Scholar] [CrossRef]
  32. Mugi, V.R.; Chandramohan, V.P. Shrinkage, effective diffusion coefficient, surface transfer coefficients and their factors during solar drying of food products—A review. Sol. Energy 2021, 229, 84–101. [Google Scholar] [CrossRef]
  33. Szadzińska, J.; Łechtańska, J.; Pashminehazar, R.; Kharaghani, A.; Tsotsas, E. Microwave-and ultrasound-assisted convective drying of raspberries: Drying kinetics and microstructural changes. Dry. Technol. 2019, 37, 1–12. [Google Scholar] [CrossRef]
  34. Leelawat, B.; Taikerd, T. Effect of drying methods and conditions on the physicochemical properties of young jackfruit-based chicken meat analogs. ACS Food Sci. Technol. 2024, 10, 1000791. [Google Scholar] [CrossRef]
  35. Ueda, J.M.; Morales, P.; Fernández-Ruiz, V.; Ferreira, A.; Barros, L.; Carocho, M.; Heleno, S.A. Powdered foods: Structure, processing, and challenges: A review. Appl. Sci. 2023, 13, 12496. [Google Scholar] [CrossRef]
  36. Alp, D.; Bulantekin, Ö. The microbiological quality of various foods dried by applying different drying methods: A review. Eur. Food Res. Technol. 2021, 247, 1333–1343. [Google Scholar] [CrossRef] [PubMed]
  37. Jurevičiūtė, I.; Keršienė, M.; Bašinskienė, L.; Leskauskaitė, D.; Jasutienė, I. Characterization of berry pomace powders as dietary fiber-rich food ingredients with functional properties. Foods 2022, 11, 716. [Google Scholar] [CrossRef]
  38. Liu, D.; Lopez-Sanchez, P.; Martinez-Sanz, M.; Gilbert, E.P.; Gidley, M.J. Adsorption isotherm studies on the interaction between polyphenols and apple cell walls: Effects of variety, heating and drying. Food Chem. 2019, 282, 58–66. [Google Scholar] [CrossRef] [PubMed]
  39. Liu, X.; Le Bourvellec, C.; Renard, C.M. Interactions between cell wall polysaccharides and polyphenols: Effect of molecular internal structure. Comp. Rev. Food Sci. Food Saf. 2020, 19, 3574–3617. [Google Scholar] [CrossRef] [PubMed]
  40. Paajanen, A.; Rinta-Paavola, A.; Vaari, J. High-temperature decomposition of amorphous and crystalline cellulose: Reactive molecular simulations. Cellulose 2021, 28, 8987–9005. [Google Scholar] [CrossRef]
  41. Schmid, V.; Trabert, A.; Keller, J.; Bunzel, M.; Karbstein, H.P.; Emin, M.A. Defined shear and heat treatment of apple pomace: Impact on dietary fiber structures and functional properties. Eur. Food Res. Technol. 2021, 247, 2109–2122. [Google Scholar] [CrossRef]
  42. Bai, Y.P.; Zhou, H.M.; Zhu, K.R.; Li, Q. Impact of thermally induced wall breakage on the structural properties of water-soluble polysaccharides in chickpeas. Int. J. Biol. Macromol. 2022, 208, 869–882. [Google Scholar] [CrossRef]
  43. Vega-Gálvez, A.; Zura-Bravo, L.; Lemus-Mondaca, R.; Martinez-Monzó, J.; Quispe-Fuentes, I.; Puente, L.; Di Scala, K. Influence of drying temperature on dietary fibre, rehydration properties, texture and microstructure of Cape gooseberry (Physalis peruviana L.). J. Food Sci. Technol. 2015, 52, 2304–2311. [Google Scholar] [CrossRef] [PubMed]
  44. Eblaghi, M.; Bronlund, J.E.; Yedro, F.M.; Archer, R.H. Kinetics of pectin reactions in apple pomace during hydrothermal treatment. Food Bioprocess Technol. 2021, 14, 739–750. [Google Scholar] [CrossRef]
  45. Borsini, A.A.; Llavata, B.; Umaña, M.; Cárcel, J.A. Artichoke by products as a source of antioxidant and fiber: How it can be affected by drying temperature. Foods 2021, 10, 459. [Google Scholar] [CrossRef]
  46. Calabuig-Jiménez, L.; Hinestroza-Córdoba, L.I.; Barrera, C.; Seguí, L.; Betoret, N. Effects of processing and storage conditions on functional properties of powdered blueberry pomace. Sustainability 2022, 14, 1839. [Google Scholar] [CrossRef]
  47. Belović, M.; Torbica, A.; Vujasinović, V.; Radivojević, G.; Perović, L.; Bokić, J. Technological properties, shelf life and consumers’ acceptance of high-fibre cookies prepared with juice processing by-products. Food Sci. Technol. Int. 2024. online ahead of print. [Google Scholar] [CrossRef]
  48. Omoba, O.S.; Olagunju, A.I.; Iwaeni, O.O.; Olajumoke Obafaye, R. Effects of tiger nut fiber on the quality characteristics and consumer acceptability of cakes made from orange-fleshed sweet potato flour. J. Culin. Sci. Technol. 2021, 19, 228–246. [Google Scholar] [CrossRef]
  49. Liu, T.; Lei, H.; Zhen, X.; Liu, J.; Xie, W.; Tang, Q.; Gou, D.; Zhao, J. Advancements in modifying insoluble dietary fiber: Exploring the microstructure, physicochemical properties, biological activity, and applications in food industry—A review. Food Chem. 2024, 458, 140154. [Google Scholar] [CrossRef] [PubMed]
  50. Minjares-Fuentes, R.; Rodríguez-González, V.M.; González-Laredo, R.F.; Eim, V.; González-Centeno, M.R.; Femenia, A. Effect of different drying procedures on the bioactive polysaccharide acemannan from Aloe vera (Aloe barbadensis Miller). Carbohydr. Polym. 2017, 168, 327–336. [Google Scholar] [CrossRef]
  51. Korkerd, S.; Wanlapa, S.; Puttanlek, C.; Uttapap, D.; Rungsardthong, V. Expansion and functional properties of extruded snacks enriched with nutrition sources from food processing by-products. J. Food Sci. Technol. 2016, 53, 561–570. [Google Scholar] [CrossRef] [PubMed]
  52. Seong, H.J.; Kim, H.; Cho, J.Y.; Yang, K.Y.; Nam, S.H. Modulating flavanone compound for reducing the bitterness and improving dietary fiber, physicochemical properties, and anti-adipogenesis of green yuzu powder by enzymatic hydrolysis. Food Chem. X 2024, 22, 101329. [Google Scholar] [CrossRef]
  53. Michalska, A.; Wojdyło, A.; Lech, K.; Łysiak, G.P.; Figiel, A. Physicochemical properties of whole fruit plum powders obtained using different drying technologies. Food Chem. 2016, 207, 223–232. [Google Scholar] [CrossRef]
  54. Antonic, B.; Jancikova, S.; Dordevic, D.; Tremlova, B. Apple pomace as food fortification ingredient: A systematic review and meta-analysis. J. Food Sci. 2020, 85, 2977–2985. [Google Scholar] [CrossRef]
  55. Megías-Pérez, R.; Ferreira-Lazarte, A.; Villamiel, M. Valorization of grape pomace as a renewable source of techno-functional and antioxidant pectins. Antioxidants 2023, 12, 957. [Google Scholar] [CrossRef]
  56. Zhang, W.P.; Yang, X.H.; Mujumdar, A.S.; Ju, H.Y.; Xiao, H.W. The influence mechanism and control strategy of relative humidity on hot air drying of fruits and vegetables: A review. Dry. Technol. 2022, 40, 2217–2234. [Google Scholar] [CrossRef]
  57. Prakash, O.; Baskaran, R.; Chauhan, A.S.; Kudachikar, V.B. Effect of heat processing on phenolics and their possible transformation in low-sugar high-moisture (LSHM) fruit products from Kainth (Pyrus pashia Buch.-ham ex D. Don) fruit. Food Chem. 2022, 370, 130988. [Google Scholar] [CrossRef] [PubMed]
  58. Slavu, M.; Aprodu, I.; Milea, Ș.A.; Enachi, E.; Râpeanu, G.; Bahrim, G.E.; Stănciuc, N. Thermal degradation kinetics of anthocyanins extracted from purple maize flour extract and the effect of heating on selected biological functionality. Foods 2020, 9, 1593. [Google Scholar] [CrossRef] [PubMed]
  59. Nabi, B.G.; Mukhtar, K.; Ahmed, W.; Manzoor, M.F.; Ranjha, M.M.A.N.; Kieliszek, M.; Bhat, Z.F.; Aadil, R.M. Natural pigments: Anthocyanins, carotenoids, chlorophylls, and betalains as colorants in food products. Food Biosci. 2023, 52, 102403. [Google Scholar] [CrossRef]
  60. Wang, Z.; Zhang, Y.; Tu, Z.; Yu, C.; Liu, R.; Deng, Z.; Luo, T. The degradation and antioxidant capacity of anthocyanins from eggplant peels in the context of complex food system under thermal processing. Food Biosci. 2024, 59, 103914. [Google Scholar] [CrossRef]
  61. Pasquet, P.L.; Julien-David, D.; Zhao, M.; Villain-Gambier, M.; Trébouet, D. Stability and preservation of phenolic compounds and related antioxidant capacity from agro-food matrix: Effect of pH and atmosphere. Food Biosci. 2024, 57, 103586. [Google Scholar] [CrossRef]
Figure 1. Drying kinetics of raspberry pomace: (a) time-dependent changes in moisture ratio (MR) at varying temperatures (50, 60, 70, 80, and 90 °C), fitted to the Page model; (b) drying rate (DR) as a function of MR at corresponding temperatures for raspberry pomace.
Figure 1. Drying kinetics of raspberry pomace: (a) time-dependent changes in moisture ratio (MR) at varying temperatures (50, 60, 70, 80, and 90 °C), fitted to the Page model; (b) drying rate (DR) as a function of MR at corresponding temperatures for raspberry pomace.
Foods 13 03597 g001
Figure 2. SEM micrographs of raspberry pomace at drying treatments: (a) 50 °C, (b) 70 °C, and (c) 90 °C.
Figure 2. SEM micrographs of raspberry pomace at drying treatments: (a) 50 °C, (b) 70 °C, and (c) 90 °C.
Foods 13 03597 g002
Figure 3. Effective moisture diffusivity (Deff) of raspberry pomace at different drying temperatures (50, 60, 70, 80, and 90 °C). The activation energy (Ea) was calculated as 34.90 kJ·mol−1. Significant differences between treatments (p < 0.05) are indicated by different letters above the bars.
Figure 3. Effective moisture diffusivity (Deff) of raspberry pomace at different drying temperatures (50, 60, 70, 80, and 90 °C). The activation energy (Ea) was calculated as 34.90 kJ·mol−1. Significant differences between treatments (p < 0.05) are indicated by different letters above the bars.
Foods 13 03597 g003
Figure 4. Antioxidant activity and phenolic content of DRP under different drying temperatures (50, 60, 70, 80, and 90 °C), including freeze-drying as a control. Total phenolic content (TPC, mg GAE·g−1 db), total anthocyanin content (TAC, mg C3G·g−1 db), and DPPH and ABTS activities (mg AAE·g−1 db). Significant differences among treatments (p < 0.05) are indicated by different letters (a–d) above the bars.
Figure 4. Antioxidant activity and phenolic content of DRP under different drying temperatures (50, 60, 70, 80, and 90 °C), including freeze-drying as a control. Total phenolic content (TPC, mg GAE·g−1 db), total anthocyanin content (TAC, mg C3G·g−1 db), and DPPH and ABTS activities (mg AAE·g−1 db). Significant differences among treatments (p < 0.05) are indicated by different letters (a–d) above the bars.
Foods 13 03597 g004
Table 1. Mathematical models employed to characterize the drying kinetics of raspberry pomace along with their corresponding equations.
Table 1. Mathematical models employed to characterize the drying kinetics of raspberry pomace along with their corresponding equations.
ModelModel EquationReference
Page M R = e x p ( k t n ) [28]
Modified Page M R = e x p ( k t ) n [16]
Henderson and Pabis M R = a   e x p   ( k t ) [16]
Logarithmic M R = a   e x p   ( k t ) + c [9]
Midilli M R = a   e x p k t n + b t [9]
Model coefficients (a, c, k, n, and b); t—drying time (min).
Table 2. Statistical error functions employed to identify the most suitable model for describing drying kinetics.
Table 2. Statistical error functions employed to identify the most suitable model for describing drying kinetics.
Error FunctionReference
R 2 = 1 i = 1 N M R e x p , i M R p r e , i 2 i = 1 N M R ¯ e x p M R e x p , i 2 [28]
χ 2 = i = 1 N M R e x p M R p r e 2 M R p r e [13]
M S E = 1 N i = 1 N M R e x p , i M R p r e , i 2 [13]
S S E = i = 1 N M R e x p , i M R p r e , i 2 [23]
R M S E = 1 N i = 1 N M R e x p , i M R p r e , i 2 1 2 [29]
A I C = N   l n S S E N + 2 K [9]
A I C c = A I C + 2 K ( K + 1 ) N K 1 [9]
K represents the number of model parameters, and N indicates the total number of data points used. The terms MRpre and MRexp refer to the predicted and experimental moisture ratios, respectively. The statistical metrics include R2 (coefficient of determination), χ2 (chi-squared statistic), MSE (mean squared error), SSE (sum of square error), RMSE (root mean square error), AIC (Akaike information criterion), and AICc (adjusted Akaike information criterion).
Table 3. Model parameters and statistical evaluation results for various thin-layer drying models.
Table 3. Model parameters and statistical evaluation results for various thin-layer drying models.
ModelTemperature (°C)Model ConstantsR2χ2MSESSERMSEAICAICc
Page50k = 0.3344n = 1.0569--0.99820.08490.00020.00460.0125−249.9834−249.5219
60k = 0.5325n = 1.0838--0.99970.02420.00000.00060.0056−182.4758−181.6758
70k = 0.6635n = 1.0826--0.99950.02770.00000.00070.0069−145.1781−144.1781
80k = 0.7454n = 1.1818--0.99650.05390.00040.00410.0201−74.1123−72.3980
90k = 0.9282n = 1.1896--0.99920.02760.00010.00090.0105−68.9573−66.5573
Modified Page50k = 0.5064n = 0.5064--0.99810.12680.00020.00670.0152−238.7016−238.2400
60k = 0.6851n = 0.6851--0.99920.05610.00020.00310.0132−151.9003−151.1003
70k = 0.7738n = 0.7738--0.99910.05540.00020.00270.0134−125.4324−124.4324
80k = 0.8453n = 0.8453--0.99380.12180.00110.01060.0326−64.4486−62.7343
90k = 0.9867n = 0.9867--0.99630.07690.00070.00600.0273−53.6126−51.2126
Henderson–Pabis50k = 0.2586-a = 1.0082-0.99780.12180.00020.00660.0150−239.4479−238.9864
60k = 0.4783-a = 1.0200-0.99880.04860.00010.00250.0117−156.2267−155.4267
70k = 0.6095-a = 1.0189-0.99880.04950.00010.00220.0120−128.6402−127.6402
80k = 0.7303-a = 1.0142-0.99260.11390.00100.00990.0314−65.2132−63.4989
90k = 0.8923-a = 1.0220-0.99550.07160.00070.00540.0260−54.4222−52.0222
Logarithmic50k = 0.2586-a = 1.0082c = 0.00000.99780.12180.00020.00660.0150−237.4479−236.4879
60k = 0.4783-a = 1.0200c = 0.00000.99880.04860.00010.00250.0117−154.2267−152.5124
70k = 0.6095-a = 1.0189c = 0.00000.99880.04950.00010.00220.0120−126.6402−124.4584
80k = 0.7303-a = 1.0142c = 0.00000.99260.11390.00100.00990.0314−63.2132−59.2132
90k = 0.8923-a = 1.0220c = 0.00000.99550.07160.00070.00540.0260−52.4222−46.4222
Midilli50k = 0.2748n = 0.9534a = 1.0200b = 0.00000.99760.18900.00040.01180.0202−218.4229−216.7562
60k = 0.5522n = 0.9029a = 1.0134b = 0.00000.99370.09080.00060.01070.0243−125.7493−122.6724
70k = 0.5643n = 1.0784a = 1.0190b = 0.00000.99950.02870.00000.00070.0070−140.9635−136.9635
80k = 0.6296n = 1.2021a = 1.0169b = 0.00000.99670.05140.00040.00390.0197−70.5534−62.5534
90k = 0.6296n = 1.2021a = 1.0169b = 0.00000.98690.30960.00860.06860.0926−30.0767−16.7434
Model coefficients (a, b, c, k, and n), R2 (coefficient of determination), χ2 (chi-squared statistic), MSE (mean squared error), SSE (sum of square error), RMSE (root mean square error), AIC (Akaike information criterion), and AICc (corrected Akaike information criterion).
Table 4. Proximate composition of dietary fiber components of DRP at different drying temperatures.
Table 4. Proximate composition of dietary fiber components of DRP at different drying temperatures.
TreatmentsTDF
(g∙100 g−1 db)
IDF
(g∙100 g−1 db)
SDF
(g∙100 g−1 db)
SDF:IDF
Freeze-drying64.14 ± 1.06 a61.78 ± 0.91 ab2.35 ± 0.15 b0.04:1
50 °C64.29 ± 3.56 a61.51 ± 3.23 a2.77 ± 0.36 ab0.05:1
60 °C64.63 ± 2.99 a61.54 ± 2.53 a3.08 ± 0.47 ab0.05:1
70 °C59.40 ± 3.11 a56.03 ± 3.12 b3.37 ± 0.19 a0.06:1
80 °C61.43 ± 1.36 a58.55 ± 1.18 b3.87 ± 0.43 a0.07:1
90 °C61.94 ± 1.52 a58.53 ± 1.41 b3.40 ± 0.16 a0.06:1
Values are presented as mean ± SD of triplicate experiments. Means with different letters (a, b) within each column indicate significant differences (Tukey test, p < 0.05). IDF (insoluble dietary fiber), SDF (soluble dietary fiber), TDF (total dietary fiber), and db (dry basis).
Table 5. Techno-functional attributes of DRP subjected to different drying temperatures.
Table 5. Techno-functional attributes of DRP subjected to different drying temperatures.
TreatmentsSOL
(%)
WHC
(mL∙g−1 db)
OHC
(mL∙g−1 db)
SC
(mL∙g−1 db)
TD
(kg∙m−3 db)
Freeze-drying76.0 ± 0.1 a11.8 ± 0.6 a3.3 ± 0.3 a15.2 ± 0.3 a279.0 ± 4.7 c
50 °C65.2 ± 1.1 c8.0 ± 0.2 b2.4 ± 0.2 b7.6 ± 0.3 b313.9 ± 5.9 bc
60 °C68.8 ± 2.1 b8.3 ± 0.4 b2.3 ± 0.1 b8.1 ± 0.4 b311.5 ± 8.2 bc
70 °C71.8 ± 0.8 ab8.2 ± 0.5 b3.0 ± 0.3 a6.9 ± 0.3 c314.3 ± 8.3 b
80 °C72.5 ± 0.9 a7.7 ± 0.2 bc1.7 ± 0.2 c7.0 ± 0.2 c322.6 ± 19.7 b
90 °C72.6 ± 1.8 a7.0 ± 0.5 c2.0 ± 0.1 c7.1 ± 0.0 c362.1 ± 24.5 a
Values are presented as the mean ± SD of triplicate experiments. Means with different letters (a–c) within each column indicate significant differences (Tukey test, p < 0.05). SOL (solubility), WHC (water-holding capacity), OHC (oil-holding capacity), SC (swelling capacity), TD (tapped density), and db (dry basis).
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.

Share and Cite

MDPI and ACS Style

Tejeda-Miramontes, J.P.; Espinoza-Paredes, B.C.; Zatarain-Palffy, A.; García-Cayuela, T.; Tejada-Ortigoza, V.; Garcia-Amezquita, L.E. Process Modeling and Convective Drying Optimization of Raspberry Pomace as a Fiber-Rich Functional Ingredient: Effect on Techno-Functional and Bioactive Properties. Foods 2024, 13, 3597. https://doi.org/10.3390/foods13223597

AMA Style

Tejeda-Miramontes JP, Espinoza-Paredes BC, Zatarain-Palffy A, García-Cayuela T, Tejada-Ortigoza V, Garcia-Amezquita LE. Process Modeling and Convective Drying Optimization of Raspberry Pomace as a Fiber-Rich Functional Ingredient: Effect on Techno-Functional and Bioactive Properties. Foods. 2024; 13(22):3597. https://doi.org/10.3390/foods13223597

Chicago/Turabian Style

Tejeda-Miramontes, José P., Brenda C. Espinoza-Paredes, Ana Zatarain-Palffy, Tomás García-Cayuela, Viridiana Tejada-Ortigoza, and Luis Eduardo Garcia-Amezquita. 2024. "Process Modeling and Convective Drying Optimization of Raspberry Pomace as a Fiber-Rich Functional Ingredient: Effect on Techno-Functional and Bioactive Properties" Foods 13, no. 22: 3597. https://doi.org/10.3390/foods13223597

APA Style

Tejeda-Miramontes, J. P., Espinoza-Paredes, B. C., Zatarain-Palffy, A., García-Cayuela, T., Tejada-Ortigoza, V., & Garcia-Amezquita, L. E. (2024). Process Modeling and Convective Drying Optimization of Raspberry Pomace as a Fiber-Rich Functional Ingredient: Effect on Techno-Functional and Bioactive Properties. Foods, 13(22), 3597. https://doi.org/10.3390/foods13223597

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop