# Optimization of Insoluble and Soluble Fibres Extraction fromAgave americana L. Using Response Surface Methodology

Authors: Amine Bouaziz; Manel Masmoudi; Amel Kamoun; Souhail Besbes
Journal: Journal of Chemistry
 (2014)

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## Abstract

Experimental design methodology was used to determine significant factors affecting the extraction yield of soluble and insoluble fibres fromAgave americana L. and in second time to find optimum conditions leading to the highest yield. Results clearly indicated that the temperature, the powder to water (P/W) ratio, and the agitation speed were the most important factors influencing fibres extraction yield which increased with temperature, P/W ratio, and agitation speed. Ionic strength affected significantly soluble fibre extraction yield and was the most important factor among nonsignificant ones influencing insoluble fibres extraction yield. Then, a Box-Behnken design was carried out to maximise fibres extraction. Selected optimal conditions were temperature: 90°C; P/W ratio: 0.1625; agitation speed: 400 rpm; and ionic strength: 1.5 g/L. These conditions yielded 93.02% and 80.46% of insoluble and soluble fibres, respectively. Concentrates showed high fibres purity and good functional properties.


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## Body

## 1. Introduction

The Agavaceae is a plant family with nine genera and about 293 species.Agave, a monocotyledonous and monocarpic plant, is the most important genus with about 166 species [1, 2]. It is a voluminous, herbaceous, and perennial plant with long, succulent spiny leaves growing directly out from the central stalk to form a dense rosette. Its floral stalk, sometimes termed the trunk, can reach 10 to 20 m of length [3, 4].The most important diversity center is the Mexican territory, with species spread from southwestern United States through Central America, the Caribbean and into northern South America [1]. Plants were taken from there to Europe, Africa, and the Far-East by the Spanish and Portuguese, where they naturalized rapidly, especially in the high arid regions around the shores of the Mediterranean [5]. They can prosper there due to their shallow rooting system and succulent morphology, while traditional annual crops cannot [6].In Tunisia, theAgave americana L. is the most abundant variety of Agave but it has never been exploited, while it is worldwide used for commercial (rope, paper, fibres, pectin, mezcal, aguamiel, pulque, and tequila), ornamental (yucca, century plant and mother-in-law’s tongue) and medicinal applications (steroid extraction and antibacterial salves) [2–7].Plant’s leaves are characterized by the abundance of agrate bundles of short fibres that are good holders of water, which gives theAgave’s leaves their rigidity and succulence [4]. Like most natural fibres, Agave fibrous bundles are composed mainly of α-cellulose (64.8%), lignin (15.9%), and hemicelluloses (5.1%) and also can contain low content of waxes and ash [4].InAgave species (CAM plants), fructans are reserve carbohydrates and they are synthesized and stored in the stems. The main function of these fructose polymers is storage before flowering and acts as osmoprotectants during drought [8].Nowadays, fibres have a capital interest due to their physiological and nutritional roles. Besides, high-fibres diets are associated with the prevention and treatment of some diseases such as constipation, colon cancer, coronary heart disease, diverticulosis and diabetes [9, 10]. Dietary fibres may be divided into two parts when they are dispersed in water: soluble and insoluble fractions. The latter one is related to both water absorption and intestinal regulation, whereas, soluble fibres are associated with the reduction of cholesterol in blood and the diminution in the intestinal absorption of glucose [9].Incorporation of dietary fibres into a wide range of products will contribute to the development of value-added foods or functional foods that currently are in high demand [11]. In addition to the physiological benefits provided by high fibre foods, studies have shown that fibres components can give textural, gelling, thickening, emulsifying, and stabilizing properties to certain foods. By understanding functional properties of dietary fibres, one can increase their use in food applications and aid in developing food products with high consumer acceptance [10].The aim of the present work is to look for the experimental conditions leading to the maximum extraction yield of soluble and insoluble fibres fractions from basal part of leaves ofAgave americana L. using experimental design methodology. As many factors can influence the extraction yield, a step of screening was firstly applied in order to retain statistically significant factors. Then, a response surface methodology (RSM) was undertaken to fit and exploit a mathematical model representing relationship between the response (extraction yield) and variables retained in the first step of optimization.


## 2. Material and Methods

### 2.1. Samples

Agave americana’s leaves were procured from Essghar region (Sfax, Tunisia). After elimination of chlorophyllous cuticle, leaves were cut into regular pieces, rinsed with water, dried for 72 h at 50°C, milled twice to obtain a very fine powder and preserved at −20°C prior to analysis and extraction.


### 2.2. Dietary Fibre Extraction

Figure1 shows the extraction process from Agave’s leaves powder to produce DF concentrates. Hot water was used to extract DF from milled leaves in a jar, homogenised using a mechanical stirrer 2021 (Heidolph rzr, Metrohm, USA) and maintained in a thermostatic bath (Raypa, Spain); operating conditions were fixed by the experimentation’s matrix. After solubilisation of free sugars and fructans, insoluble DFs were recuperated by centrifugation (6500 g, 10 min) using a 4K15 centrifuge (Sigma, Osterode, Germany) [12]. Its concentration was carried out by a succession of five rinsings (water at 40°C) and of five centrifugations until the residue was free of sugars. In the other hand, soluble DFs (fructans) were settled overnight in ethanol 95% and then recuperated by centrifugation (6500 g, 10 min). Its concentration was carried out by rinsing three times with 50%, 70% and 100% ethanol [13]. The residues obtained were freeze-dried in a Benchtop 3 L freeze dryer (Virtis, Gardiner, NY) to give the DF concentrates and stored at 3°C for subsequent analyses.Figure 1
Elaboration process of insoluble and soluble fibres concentrates fromAgave americanaL.


### 2.3. Physicochemical Analyses of Raw Material and DF Concentrates

All values given were the mean of three replications and were expressed as the mean± standard deviation (x
-
± SD).


#### 2.3.1. Dry Matter

Dry matter was determined by oven-drying at 105°C to constant weight [14].


#### 2.3.2. pH

The pH of 10% aquatic suspension ofAgave powder and all other solutions was determined potentiometrically with a pH meter MP 220 (Mettler toledo, Barcelona, Spain) according to NF 05-108 [15].


#### 2.3.3. Water Activity (aw)

The water activity was determined at 25°C by a Novasina AW SPRINT TH-500 apparatus.


#### 2.3.4. Ash and Mineral Content

Ash content was determined by incinerating sample at 550°C for 8 h. The total ash was expressed as the percent of dry weight [16]. The residue was digested with a nitric/perchloric acid (2 : 1, v/v) mixture and then adjusted to 50 mL with ultrapure water [12–17]. Mineral constituents (K, Ca, Na, Mg, Zn, and Cu) were analyzed separately using an atomic absorption spectrophotometer (analytik-jena ZEEnit 700, Germany) [14].


#### 2.3.5. Protein

Total nitrogen was determined by the Kjeldahl method [15]. Protein was calculated using the general factor (6.25).


#### 2.3.6. Total Fat

Crude fat was estimated by Soxhlet extraction with hexane over a period of 8 h [18].


#### 2.3.7. Reducing Sugars

Reducing sugars were determined according to Bertrand and Thomas method. This latter is well described in detail by Blanchard [19].


#### 2.3.8. Total Sugars

Soluble sugars concentration was determined by the phenol-sulphuric acid method [20] after ethanol extraction. Insoluble sugars fraction was submitted to a hydrochloric acid digestion for 2 h at 60°C. Released sugars were also determined by the phenol-sulphuric acid method.


#### 2.3.9. Dietary Fibres

Insoluble and soluble dietary fibres (DF) were determined according to the AOAC enzymatic-gravimetric method of Prosky et al. [21]. Briefly, samples were gelatinized in phosphate buffer with heat-stable alpha amylase (A-3306, Sigma-Aldrich Chemical Co., St. Louis, USA) (100°C, pH 6, 15 min) and then enzymatically digested with a protease (P-3910, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 7.5, 30 min), followed by incubation with amyloglucosidase (A-3042, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 4.5, 30 min) to remove protein and starch. Then, samples were filtered, washed (with water, 95% ethanol, and acetone), dried, and weighed to determine insoluble fibres content. Four volumes of 95% ethanol (preheated to 60°C) were added to the filtrate and to the water washings. Then, precipitates were filtered and washed with 78% ethanol, 95% ethanol, and acetone. After that, the residues (soluble DF) were dried and weighed. The obtained values were corrected for ash and protein. Total DF was determined by summing insoluble and soluble DF.


#### 2.3.10. Microstructure Visualization

DF shape and the surface morphology at the micrometer scale were investigated with a scanning electron microscope (SEM), XL30 type ESEM-FEG (Philips/FEI) at 20 kV, using a working distance of 10.0 mm. DF concentrates were metalized with a gold/palladium coating of thicknessl
=
4 nm using a BAL-TEC MED 020 device prior to observation [7]. The detection system used was a back-scattered electron detector (BSE) [22, 23].


#### 2.3.11. Water Holding Capacity

Water holding capacity (WHC) was determined using the method described by Macconnell et al. [24]. Hundred milligrams of DF concentrates was added to 10 mL of distilled water in a 50 mL centrifuge tube and stirred overnight at 4°C. Then the mixture was centrifuged at 14000 g for 20 min. The free water was decanted and absorbed water was then determined.


#### 2.3.12. Oil Holding Capacity

Oil holding capacity (OHC) was measured using the method described by Caprez et al. [25]. Hundred milligrams of DF concentrates was added to 10 mL of corn oil in a 50 mL centrifuge tube. The content was stirred, and then the tubes were centrifuged at 1500 g for 30 min. The free oil was decanted and the absorbed oil was determined.


### 2.4. Experimental Methodology

When many factors affect a desired response, it can be an exhausting task to optimize a process [13]. Therefore, screening step seems to be indispensable to retain only significant factors influencing fibre extraction yield, while response surface methodology (RSM) can be an effective tool for optimizing the response. Screening allows the investigation of up to N
-
1 variables with N experiments using a fractional factorial design such as Plackett-Burman design [26]. Response surface methodology is defined as a statistical method that uses quantitative data from appropriate experimental design to determine optimal conditions and predict the optimum response. Box-Behnken design (BBD), one of RSM, is more efficient and easier for arranging and interpreting experiments in comparison with others [27].In the present study, experimental design software NEMROD-W [28] was used in order to select significant factors and look for the best experimental conditions leading to the highest fibres extraction yield.


#### 2.4.1. Screening Step

Two Plackett-Burman designs were used to select significant factors, starting from six factors (U
1 to U
6) for the first design and eight factors (U
1 to U
8) for the second one, chosen to evaluate their effect on insoluble and soluble fibres extraction yield, respectively. Table 1 shows different factors and the two levels (+
1) and (−1) of each variable used for screening.Table 1
Experimental domain for screening step.
Factor
Unit
Low level
High level
U
1
P/W ratio
g powder/mL water
0.0333
0.1
U
2
Temperature
°C
60
80
U
3
pH
—
4
9
U
4
Time
hour
0.5
2
U
5
Agitation speed
rpm
200
400
U
6
Ionic strength
g NaCl/l medium
1
2
U
7
M/E ratio
l/l
0.25
0.5
U
8
Precipitation temperature
°C
5
35


#### 2.4.2. Response Surface Methodology

The fibres extraction procedure was optimized using the RSM. This latter has been extensively utilized to optimize culture conditions and medium composition of fermentation process, conditions of enzyme reaction, and processing parameters in the production of food and drug [13–29]. A Box-Behnken design was chosen to look for the best experimental conditions.


## 2.1. Samples

Agave americana’s leaves were procured from Essghar region (Sfax, Tunisia). After elimination of chlorophyllous cuticle, leaves were cut into regular pieces, rinsed with water, dried for 72 h at 50°C, milled twice to obtain a very fine powder and preserved at −20°C prior to analysis and extraction.


## 2.2. Dietary Fibre Extraction

Figure1 shows the extraction process from Agave’s leaves powder to produce DF concentrates. Hot water was used to extract DF from milled leaves in a jar, homogenised using a mechanical stirrer 2021 (Heidolph rzr, Metrohm, USA) and maintained in a thermostatic bath (Raypa, Spain); operating conditions were fixed by the experimentation’s matrix. After solubilisation of free sugars and fructans, insoluble DFs were recuperated by centrifugation (6500 g, 10 min) using a 4K15 centrifuge (Sigma, Osterode, Germany) [12]. Its concentration was carried out by a succession of five rinsings (water at 40°C) and of five centrifugations until the residue was free of sugars. In the other hand, soluble DFs (fructans) were settled overnight in ethanol 95% and then recuperated by centrifugation (6500 g, 10 min). Its concentration was carried out by rinsing three times with 50%, 70% and 100% ethanol [13]. The residues obtained were freeze-dried in a Benchtop 3 L freeze dryer (Virtis, Gardiner, NY) to give the DF concentrates and stored at 3°C for subsequent analyses.Figure 1
Elaboration process of insoluble and soluble fibres concentrates fromAgave americanaL.


## 2.3. Physicochemical Analyses of Raw Material and DF Concentrates

All values given were the mean of three replications and were expressed as the mean± standard deviation (x
-
± SD).


### 2.3.1. Dry Matter

Dry matter was determined by oven-drying at 105°C to constant weight [14].


### 2.3.2. pH

The pH of 10% aquatic suspension ofAgave powder and all other solutions was determined potentiometrically with a pH meter MP 220 (Mettler toledo, Barcelona, Spain) according to NF 05-108 [15].


### 2.3.3. Water Activity (aw)

The water activity was determined at 25°C by a Novasina AW SPRINT TH-500 apparatus.


### 2.3.4. Ash and Mineral Content

Ash content was determined by incinerating sample at 550°C for 8 h. The total ash was expressed as the percent of dry weight [16]. The residue was digested with a nitric/perchloric acid (2 : 1, v/v) mixture and then adjusted to 50 mL with ultrapure water [12–17]. Mineral constituents (K, Ca, Na, Mg, Zn, and Cu) were analyzed separately using an atomic absorption spectrophotometer (analytik-jena ZEEnit 700, Germany) [14].


### 2.3.5. Protein

Total nitrogen was determined by the Kjeldahl method [15]. Protein was calculated using the general factor (6.25).


### 2.3.6. Total Fat

Crude fat was estimated by Soxhlet extraction with hexane over a period of 8 h [18].


### 2.3.7. Reducing Sugars

Reducing sugars were determined according to Bertrand and Thomas method. This latter is well described in detail by Blanchard [19].


### 2.3.8. Total Sugars

Soluble sugars concentration was determined by the phenol-sulphuric acid method [20] after ethanol extraction. Insoluble sugars fraction was submitted to a hydrochloric acid digestion for 2 h at 60°C. Released sugars were also determined by the phenol-sulphuric acid method.


### 2.3.9. Dietary Fibres

Insoluble and soluble dietary fibres (DF) were determined according to the AOAC enzymatic-gravimetric method of Prosky et al. [21]. Briefly, samples were gelatinized in phosphate buffer with heat-stable alpha amylase (A-3306, Sigma-Aldrich Chemical Co., St. Louis, USA) (100°C, pH 6, 15 min) and then enzymatically digested with a protease (P-3910, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 7.5, 30 min), followed by incubation with amyloglucosidase (A-3042, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 4.5, 30 min) to remove protein and starch. Then, samples were filtered, washed (with water, 95% ethanol, and acetone), dried, and weighed to determine insoluble fibres content. Four volumes of 95% ethanol (preheated to 60°C) were added to the filtrate and to the water washings. Then, precipitates were filtered and washed with 78% ethanol, 95% ethanol, and acetone. After that, the residues (soluble DF) were dried and weighed. The obtained values were corrected for ash and protein. Total DF was determined by summing insoluble and soluble DF.


### 2.3.10. Microstructure Visualization

DF shape and the surface morphology at the micrometer scale were investigated with a scanning electron microscope (SEM), XL30 type ESEM-FEG (Philips/FEI) at 20 kV, using a working distance of 10.0 mm. DF concentrates were metalized with a gold/palladium coating of thicknessl
=
4 nm using a BAL-TEC MED 020 device prior to observation [7]. The detection system used was a back-scattered electron detector (BSE) [22, 23].


### 2.3.11. Water Holding Capacity

Water holding capacity (WHC) was determined using the method described by Macconnell et al. [24]. Hundred milligrams of DF concentrates was added to 10 mL of distilled water in a 50 mL centrifuge tube and stirred overnight at 4°C. Then the mixture was centrifuged at 14000 g for 20 min. The free water was decanted and absorbed water was then determined.


### 2.3.12. Oil Holding Capacity

Oil holding capacity (OHC) was measured using the method described by Caprez et al. [25]. Hundred milligrams of DF concentrates was added to 10 mL of corn oil in a 50 mL centrifuge tube. The content was stirred, and then the tubes were centrifuged at 1500 g for 30 min. The free oil was decanted and the absorbed oil was determined.


## 2.3.1. Dry Matter

Dry matter was determined by oven-drying at 105°C to constant weight [14].


## 2.3.2. pH

The pH of 10% aquatic suspension ofAgave powder and all other solutions was determined potentiometrically with a pH meter MP 220 (Mettler toledo, Barcelona, Spain) according to NF 05-108 [15].


## 2.3.3. Water Activity (aw)

The water activity was determined at 25°C by a Novasina AW SPRINT TH-500 apparatus.


## 2.3.4. Ash and Mineral Content

Ash content was determined by incinerating sample at 550°C for 8 h. The total ash was expressed as the percent of dry weight [16]. The residue was digested with a nitric/perchloric acid (2 : 1, v/v) mixture and then adjusted to 50 mL with ultrapure water [12–17]. Mineral constituents (K, Ca, Na, Mg, Zn, and Cu) were analyzed separately using an atomic absorption spectrophotometer (analytik-jena ZEEnit 700, Germany) [14].


## 2.3.5. Protein

Total nitrogen was determined by the Kjeldahl method [15]. Protein was calculated using the general factor (6.25).


## 2.3.6. Total Fat

Crude fat was estimated by Soxhlet extraction with hexane over a period of 8 h [18].


## 2.3.7. Reducing Sugars

Reducing sugars were determined according to Bertrand and Thomas method. This latter is well described in detail by Blanchard [19].


## 2.3.8. Total Sugars

Soluble sugars concentration was determined by the phenol-sulphuric acid method [20] after ethanol extraction. Insoluble sugars fraction was submitted to a hydrochloric acid digestion for 2 h at 60°C. Released sugars were also determined by the phenol-sulphuric acid method.


## 2.3.9. Dietary Fibres

Insoluble and soluble dietary fibres (DF) were determined according to the AOAC enzymatic-gravimetric method of Prosky et al. [21]. Briefly, samples were gelatinized in phosphate buffer with heat-stable alpha amylase (A-3306, Sigma-Aldrich Chemical Co., St. Louis, USA) (100°C, pH 6, 15 min) and then enzymatically digested with a protease (P-3910, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 7.5, 30 min), followed by incubation with amyloglucosidase (A-3042, Sigma-Aldrich Chemical Co., St. Louis, USA) (60°C, pH 4.5, 30 min) to remove protein and starch. Then, samples were filtered, washed (with water, 95% ethanol, and acetone), dried, and weighed to determine insoluble fibres content. Four volumes of 95% ethanol (preheated to 60°C) were added to the filtrate and to the water washings. Then, precipitates were filtered and washed with 78% ethanol, 95% ethanol, and acetone. After that, the residues (soluble DF) were dried and weighed. The obtained values were corrected for ash and protein. Total DF was determined by summing insoluble and soluble DF.


## 2.3.10. Microstructure Visualization

DF shape and the surface morphology at the micrometer scale were investigated with a scanning electron microscope (SEM), XL30 type ESEM-FEG (Philips/FEI) at 20 kV, using a working distance of 10.0 mm. DF concentrates were metalized with a gold/palladium coating of thicknessl
=
4 nm using a BAL-TEC MED 020 device prior to observation [7]. The detection system used was a back-scattered electron detector (BSE) [22, 23].


## 2.3.11. Water Holding Capacity

Water holding capacity (WHC) was determined using the method described by Macconnell et al. [24]. Hundred milligrams of DF concentrates was added to 10 mL of distilled water in a 50 mL centrifuge tube and stirred overnight at 4°C. Then the mixture was centrifuged at 14000 g for 20 min. The free water was decanted and absorbed water was then determined.


## 2.3.12. Oil Holding Capacity

Oil holding capacity (OHC) was measured using the method described by Caprez et al. [25]. Hundred milligrams of DF concentrates was added to 10 mL of corn oil in a 50 mL centrifuge tube. The content was stirred, and then the tubes were centrifuged at 1500 g for 30 min. The free oil was decanted and the absorbed oil was determined.


## 2.4. Experimental Methodology

When many factors affect a desired response, it can be an exhausting task to optimize a process [13]. Therefore, screening step seems to be indispensable to retain only significant factors influencing fibre extraction yield, while response surface methodology (RSM) can be an effective tool for optimizing the response. Screening allows the investigation of up to N
-
1 variables with N experiments using a fractional factorial design such as Plackett-Burman design [26]. Response surface methodology is defined as a statistical method that uses quantitative data from appropriate experimental design to determine optimal conditions and predict the optimum response. Box-Behnken design (BBD), one of RSM, is more efficient and easier for arranging and interpreting experiments in comparison with others [27].In the present study, experimental design software NEMROD-W [28] was used in order to select significant factors and look for the best experimental conditions leading to the highest fibres extraction yield.


### 2.4.1. Screening Step

Two Plackett-Burman designs were used to select significant factors, starting from six factors (U
1 to U
6) for the first design and eight factors (U
1 to U
8) for the second one, chosen to evaluate their effect on insoluble and soluble fibres extraction yield, respectively. Table 1 shows different factors and the two levels (+
1) and (−1) of each variable used for screening.Table 1
Experimental domain for screening step.
Factor
Unit
Low level
High level
U
1
P/W ratio
g powder/mL water
0.0333
0.1
U
2
Temperature
°C
60
80
U
3
pH
—
4
9
U
4
Time
hour
0.5
2
U
5
Agitation speed
rpm
200
400
U
6
Ionic strength
g NaCl/l medium
1
2
U
7
M/E ratio
l/l
0.25
0.5
U
8
Precipitation temperature
°C
5
35


### 2.4.2. Response Surface Methodology

The fibres extraction procedure was optimized using the RSM. This latter has been extensively utilized to optimize culture conditions and medium composition of fermentation process, conditions of enzyme reaction, and processing parameters in the production of food and drug [13–29]. A Box-Behnken design was chosen to look for the best experimental conditions.


## 2.4.1. Screening Step

Two Plackett-Burman designs were used to select significant factors, starting from six factors (U
1 to U
6) for the first design and eight factors (U
1 to U
8) for the second one, chosen to evaluate their effect on insoluble and soluble fibres extraction yield, respectively. Table 1 shows different factors and the two levels (+
1) and (−1) of each variable used for screening.Table 1
Experimental domain for screening step.
Factor
Unit
Low level
High level
U
1
P/W ratio
g powder/mL water
0.0333
0.1
U
2
Temperature
°C
60
80
U
3
pH
—
4
9
U
4
Time
hour
0.5
2
U
5
Agitation speed
rpm
200
400
U
6
Ionic strength
g NaCl/l medium
1
2
U
7
M/E ratio
l/l
0.25
0.5
U
8
Precipitation temperature
°C
5
35


## 2.4.2. Response Surface Methodology

The fibres extraction procedure was optimized using the RSM. This latter has been extensively utilized to optimize culture conditions and medium composition of fermentation process, conditions of enzyme reaction, and processing parameters in the production of food and drug [13–29]. A Box-Behnken design was chosen to look for the best experimental conditions.


## 3. Results and Discussion

### 3.1. Chemical Composition

The main characteristics of theAgave’s leaves are given in Table 2. High moisture and protein and total carbohydrate contents were observed. However, low fat and ash contents were found. This plant exhibited a low pH value. This low pH could be explained by the presence of many organic acids such as malic, citric, and oxalic acids [30]. Agave’s leaves had high contents of soluble and insoluble fibres (7.72% and 37.88%, resp.). These values are comparable with those reported for Opuntia ficus indica f. inermis cladodes (8.78% and 30.36% of soluble and insoluble fibres, resp.) [17].Table 2
Chemical composition ofAgave leaves (g/100 g dry matter).
Components
Values
Dry matter (%)
16.42 ± 0.71
pH
5.03 ± 0.08
Protein
28.90 ± 1.46
Fat
5.46 ± 0.02
Ash
3.53 ± 0.33
Total carbohydrates
62.74 ± 1.38
Reducing sugars
20.06 ± 0.10
Soluble dietary fibres
7.72 ± 0.21
Insoluble dietary fibres
37.88 ± 0.49
Total dietary fibres
45.05 ± 0.96Table3 summarized the mineral composition of the Agave’s leaves. Potassium is the most abundant mineral (1.103 g/100 g of dry weight). It was as twice as calcium content. Magnesium and sodium contents were, respectively, 86 and 37 mg/100 g of dry weight. However copper and zinc were found at very low level. These values were lower than those observed by Ayadi et al. [17] for Opuntia ficus cladodes and those found by Femenia et al. [31] in Aloe Vera.Table 3
Mineral composition ofAgave leaves.
Mineral
Values
Ka
1.103 ± 0.017
Caa
0.571 ± 0.016
Naa
0.037 ± 0.002
Mga
0.086 ± 0.006
Znb
1.299 ± 0.151
Cub
0.307 ± 0.015
ag/100 g dry matter; bmg/100 g dry matter.The chemical composition of theAgave leaves (high amount of fibres and proteins), as well as the low cost of exploitation, can justify the search of valorization of this product. Indeed, Agave leaves could be considered as a potential source of dietary fibres.


### 3.2. Experimental Approach

#### 3.2.1. Screening Step

Twelve experiments were carried out to select significant factors from those cited in Table1 according to the conditions indicated in Tables 4 and 5 for insoluble and soluble fibres extraction, respectively. Response values (fibres yields) are reported in the last column of each table. These observed responses were used to compute coefficients of each model. This allowed us to write the following models:
(1)
y
^
1
=
63.009
+
5.193
X
1
+
8.171
X
2
+
0.136
X
3
+
0.516
X
4
+
4.898
X
5
+
3.336
X
6
,
y
^
2
=
51.076
+
5.623
X
1
+
8.193
X
2
+
0.583
X
3
+
0.547
X
4
+
3.576
X
5
+
3.576
X
6
+
1.099
X
7
-
1.433
X
8
,
where y
^
1 is insoluble fibres extraction yield, y
^
2 is soluble fibres extraction yield, X
1 is powder to water ratio (P/W), X
2 is extraction temperature, X
3 is pH, X
4 is time, X
5 is agitation speed, X
6 is ionic strength, X
7 is medium to ethanol ratio (M/E), and X
8 is ethanol precipitation temperature.Table 4
Experimental conditions of Plackett-Burman design for insoluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
IF extraction yield (%)
1
0.1
80
4
2
400
2
89.87
2
0.0333
80
9
0.5
400
2
74.10
3
0.1
60
9
2
200
2
63.03
4
0.0333
80
4
2
400
1
65.67
5
0.0333
60
9
0.5
400
2
57.24
6
0.0333
60
4
2
200
2
46.57
7
0.1
60
4
0.5
400
1
66.24
8
0.1
80
4
0.5
200
2
67.26
9
0.1
80
9
0.5
200
1
68.49
10
0.0333
80
9
2
200
1
61.69
11
0.1
60
9
2
400
1
54.32
12
0.0333
60
4
0.5
200
1
41.63Table 5
Experimental conditions of Plackett-Burman design for soluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
M/E ratio
Precipitation temperature
SF extraction yield (%)
1
0.1
80
4
2
400
2
0.25
5
73.03
2
0.0333
80
9
0.5
400
2
0.5
5
65.61
3
0.1
60
9
2
200
2
0.5
35
51.85
4
0.0333
80
4
2
400
1
0.5
35
52.89
5
0.0333
60
9
0.5
400
2
0.25
35
39.67
6
0.0333
60
4
2
200
2
0.5
5
37.21
7
0.1
60
4
0.5
400
1
0.5
35
47.43
8
0.1
80
4
0.5
200
2
0.25
35
60.54
9
0.1
80
9
0.5
200
1
0.5
5
58.06
10
0.0333
80
9
2
200
1
0.25
35
45.48
11
0.1
60
9
2
400
1
0.25
5
49.28
12
0.0333
60
4
0.5
200
1
0.25
5
31.86The analysis of variance showed that the regression sum of squares was statistically significant at the level of 95% for both insoluble and soluble fibres extractions. Results of this analysis for each design are summarized in Table6. Coefficients of determination, R
2, were 0.886 and 0.977 for insoluble and soluble fibres extraction yield respectively. Thus, the predicted models well represented the observed values.Table 6
Analysis of variance for Plackett-Burman designs.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1549.47
6
258.245
6.5046
2.89*
Residuals
198.51
5
39.702
Total
1747.98
11
SF
Regression
1538.42
8
192.303
15.8162
2.22*
Residuals
36.48
3
12.159
Total
1574.9
11
*Significant at the level of 95%.The analysis of the contrast coefficientb
j as it can be seen in Figure 2(a) showed that three factors: temperature, Agave powder to water ratio, and agitation speed had pronounced influence on the insoluble fibres extraction yield. Temperature and powder to water ratio improve the hydrodynamic process by increasing the diffusion of hydrophilic biomolecules to liquid extraction which allows the best fibres extraction efficiency and the highest purity [32, 33]. As for agitation speed, it accelerates the diffusion rate of molecules and homogenizes extraction medium. The other factors were statistically not significant. However, ionic strength was the most important factor from nonsignificant ones (b
6
=
3.34). This fact can be explained by the precipitation of protein present abundantly in Agave leaves leading to obtain a more pure DF concentrate. On the other hand, Figure 2(b) showed that four factors: temperature, Agave powder to water ratio (P/W), agitation speed, and ionic strength had pronounced effect on the soluble fibres extraction yields. Thus, it seems evident to retain these factors in order to optimize soluble and insoluble fibres extraction using the RSM.Graphical study of factor effects on soluble and insoluble fibres extraction (screening step): (a) insoluble fibres screening design and (b) soluble fibres screening design.
(a)
(b)


#### 3.2.2. Optimization by RSM

A Box-Behnken design was chosen to look for the best experimental conditions of four independent factors kept after the screening study which areX
1: powder to water ratio; X
2: extraction temperature (°C); X
3: agitation speed (rpm); and X
4: ionic strength (g of NaCl/L). For each factor, the experimental range was chosen on the basis of results of screening experiments. On the one hand, powder to water ratio and temperature domains were extended due to their high significance detected in the screening step. On the other hand, extraction time was fixed at 30 minutes and pH at its natural value to reduce the cost of this process. In addition, the precipitation of soluble fibres was carried out in ambient temperature using a 0.5 ethanol to medium ratio for economic reasons. The relationship between the extraction yield and the four variables for each response was approximated by the following second order polynomial function:
(2)
y
^
=
b
0
+
b
1
X
1
+
b
2
X
2
+
b
3
X
3
+
b
4
X
4
+
b
11
X
1
2
+
b
22
X
2
2
+
b
33
X
3
2
+
b
44
X
4
2
+
b
12
X
1
X
2
+
b
13
X
1
X
3
+
b
23
X
2
X
3
+
b
14
X
1
X
4
+
b
24
X
2
X
4
+
b
34
X
3
X
4
.Twenty-five experiments were carried out to estimate the 15 model coefficients for each response according to the conditions indicated in Table7. In order to estimate the pure error variance, five replications were performed at the central point [13]. Response values (fibres yields) are reported in the two last columns of Table 7; these values were used to estimate the model coefficients b
j by the least square method which allowed us to write the following estimated models:
(3)
insoluble
DF
:
y
^
1
=
71.005
+
4.960
X
1
+
5.593
X
2
+
3.369
X
3
+
3.003
X
1
2
+
3.575
X
2
2
+
3.094
X
3
2
+
2.279
X
4
2
+
2.930
X
2
X
3
,
soluble
DF
:
y
^
2
=
60.409
+
4.724
X
1
+
5.144
X
2
+
3.371
X
3
+
1.173
X
4
+
2.282
X
1
2
+
4.806
X
2
2
+
3.298
X
3
2
+
3.222
X
4
2
+
1.572
X
2
X
3
+
2.201
X
2
X
4
.
It can be seen from the regression equation of insoluble fibres extraction that only the linear coefficient corresponding to ionic strength was not significant. This result is in agreement with screening results. However, all quadric terms were highly significant; X
4
2 include all other quadric terms aliased with linear ones. Finally, a positive correlation between temperature and agitation velocity occurred. This result can be explained by the contribution of this interaction to break connections of fibres to other macromolecules which allows the increase of the purity of the fibre extract.Table 7
Experimental conditions of Box-Behnken design and the corresponding experimental responses.
N
° Exp
P/W ratio
Temperature
Agitation velocity
Ionic strength
IF extraction yield (%)
SF extraction yield (%)
1
0.050
60
300
1.5
64.34
56.67
2
0.200
60
300
1.5
79.06
69.04
3
0.050
90
300
1.5
78.45
68.39
4
0.200
90
300
1.5
88.23
77.24
5
0.050
75
200
1.5
69.87
59.26
6
0.200
75
200
1.5
77.06
68.04
7
0.050
75
400
1.5
74.87
62.34
8
0.200
75
400
1.5
85.45
74.53
9
0.050
75
300
1.0
72.11
60.49
10
0.200
75
300
1.0
80.85
67.05
11
0.050
75
300
2.0
72.54
63.44
12
0.200
75
300
2.0
81.05
71.35
13
0.125
60
200
1.5
70.86
59.79
14
0.125
90
200
1.5
78.65
69.45
15
0.125
60
400
1.5
71.54
63.73
16
0.125
90
400
1.5
91.05
79.57
17
0.125
60
300
1.0
72.20
66.43
18
0.125
90
300
1.0
79.85
70.46
19
0.125
60
300
2.0
72.67
62.41
20
0.125
90
300
2.0
81.56
75.16
21
0.125
75
200
1.0
73.32
61.48
22
0.125
75
400
1.0
79.47
69.66
23
0.125
75
200
2.0
72.33
64.86
24
0.125
75
400
2.0
80.14
73.23
25
0.125
75
300
1.5
70.38
62.34
26
0.125
75
300
1.5
71.92
61.05
27
0.125
75
300
1.5
69.83
59.97
28
0.125
75
300
1.5
71.47
60.05
29
0.125
75
300
1.5
70.18
61.28
30
0.125
75
300
1.5
72.25
60.63For the soluble fibres extraction, all linear and quadric terms were highly significant and had a positive effect on the response. Moreover, positive correlations occurred between temperature and agitation velocity on the one hand and temperature and ionic strength on the other hand. This latter interaction could be explained by the denaturation of protein leading to a higher purity.The analysis of variance for fitted models showed that the regression sum of squares was statistically significant at the level of 99.99% for two responses and the lack of fit was not significant. Results of this analysis are summarized in Table8. The coefficients of determination, R
2, for insoluble and soluble fibres extraction yields were 0.971 and 0.964, respectively. Thus, the predicted model well represented the observed values.Table 8
Analysis of variance for Box-Behnken design.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1030.01
14
73.572
36.072
<0.01***
Residuals
30.594
15
2.039
Validity
25.539
10
2.554
2.526
15.9
Error
5.055
5
1.011
Total
1060.6
29
SF
Regression
999.31
14
71.379
29.567
<0.01***
Residuals
36.213
15
2.414
Validity
32.313
10
3.231
4.143
6.5
Error
3.899
5
0.779
Total
1035.52
29
*
*
*Significant at the level of 99.99%.In order to validate the adequacy of model equations using point test method, five verification experiments were accomplished under various extracting conditions (within the experimental range). Table9 presents design matrix along with the experimental results and theoretical values predicted by regression equations. Correlation coefficients (R
2) between experimental and predicted values for two responses were 0.967 and 0.964. There was no statistically significant difference at level of 95% between experimental and predicted values. Results clearly indicate that experimental values are in good agreement with predicted ones and also suggest that regression models are accurate and adequate for the extraction of both soluble and insoluble fibres which consolidate ANOVA results.Table 9
Models validation experiments.
Exp.
IF
SF
yi
y
^i
yi
y
^i
31
67.180
67.295
56.430
57.183
32
73.350
73.081
61.790
62.495
33
72.230
75.082
63.430
64.944
34
74.370
74.747
63.910
64.478
35
71.450
72.291
61.170
63.292
yi: experimental value
y
^i: predicted value.The relationship between responses and experimental variables can be illustrated graphically by contours plots (Figures3 and 4). The topography of these responses is illustrated by isoresponse contours representing lines of constant response in a two-variable plane. Such plots are helpful in studying the effects of the variation of the factors in the studied domain and, consequently, in determining the optimal experimental conditions [34].Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b) temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on insoluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b)  temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on soluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)In Figure3(a) the examination of the isoresponse contours plot showed that the yield increased when increasing temperature and/or increasing the Agave powder to water ratio.  These effects were markedly shown for temperatures over 75°C and for P/W ratio higher than 0.145. This can be explained by the high solubility of fructans and simple sugars which increases with increasing temperature, giving a higher purity of extract. Similar results were obtained by Masmoudi et al. [13] for extracting pectin from lemon with acidified date juice. Qiao et al. [29] showed that the best yield of polysaccharide extracted from Hyriopsis cumingii occurs at a low ratio of water to raw material and a temperature of 80°C which is close to our results.The positive effect of temperature above 75°C was also demonstrated in Figure3(b). Thus, the increase of temperature and agitation speed improved the fibre extraction yield. This positive correlation can be explained by the thermodynamic effect on breaking connections of fibres to other biomolecules. In Figures 3(c) and 3(d), isoresponse curves are arranged in linear trajectory parallel to the vertical axis corresponding to the ionic strength. This fact appears as an evident, logical, and expected consequence which is in perfect harmony with the screening study.Similar conclusions could be obtained from analyzing contours plots dressed in Figure4. As previous discussion showed, all factors involved in the optimization study affect significantly fructans extraction. This fact is probably due to the thermodynamic and hydrodynamic phenomena. Ionic strength was significant as it intervenes by increasing purity while precipitating soluble protein.Optimal extraction conditions: powder to water ratio of 0.1625, extracting temperature of 90°C, agitation speed of 400 rpm, and NaCl concentration of 1.5 g/L were determined using Nemrod W software. The suitability of these optimal extracting variables was also tested by executing the experiment under these conditions. Measured values belonged to the predicted intervals of both optimum insoluble and soluble fibres extraction yield (Table10).Table 10
Suitability of selected optimal conditions to the measured values.
IF
Measured values: yi (%)
93.02
Predicted value:y
^i (%)
92.56 ± 2.43
SF
Measured values: yi (%)
80.46
Predicted value:y
^i (%)
81.53 ± 2.55


### 3.3. Characteristics of Insoluble Fibres Concentrate

#### 3.3.1. Physical and Chemical Analysis of DF Concentrates

Analyses of lyophilised insoluble and soluble fibres are given in Table11. Analysis showed high dry matter content (94.51% and 91.67%) and low water activity (0.225 and 0.337) for insoluble and soluble fibres, respectively, which allows a good microbiological stability and long preservation. The amount of fibres was of about 86 g/100 g and 90 g/100 g for insoluble and soluble fibres, respectively. These values are close to levels measured for DF preparations from date (ranging between 88 and 92% depending on the variety used for the process) and apple (89.8%), but notably higher than those of other fruits DF concentrates reported for grapefruit, lemon, orange and mango (28–78.2%), citrus peel (57%), and mango peel (~71%) [12]. Table 10 reveals the presence of ash as a major contaminant of insoluble DF concentrate (~8%) followed by protein, soluble sugars, and fat; this may be due to the use of sodium chloride in the extraction process. For fructans, soluble sugars and ash are the main contaminant of the extract. The low level of protein obtained could be due to the repeating washings after extraction leading to the elimination of amino acids issued from protein hydrolysis at high temperatures.Table 11
Chemical composition of insoluble and soluble fibres concentrates (g/100 g dry matter).
IF
SF
Dry matter (%)
94.51 ± 0.14
91.67 ± 0.27
a
w
0.225 ± 0.002
0.337 ± 0.002
pH
6.35 ± 0.04
5.59 ± 0.04
Total fibres
86.23 ± 1.32
89.84 ± 0.88
Ash
8.01 ± 0.05
3.25 ± 0.17
proteins
2.32 ± 0.09
1.44 ± 0.11
Fat
1.24 ± 0.04
0.097 ± 0.003
Soluble sugars
1.58 ± 0.21
4.42 ± 0.54


#### 3.3.2. Water and Oil Holding Capacities (WHC and OHC)

Insoluble fibres concentrate showed a high WHC (8.66 g water/g sample) (Table12). This value is higher than those reported for other fruit fibre concentrates, such as citrus, apple, oat bran, and pear DF (3.6 to 6.8 g water/g sample) [9]. The high WHC of Agave insoluble fibres concentrate suggested that this material could be used as a functional ingredient in food to avoid syneresis of formulated products [12]. This concentrate is also characterised by a high OHC (5.6 g oil/g sample) (Table 12), superior to some agricultural byproducts and DF concentrates cited by Abdul-Hamid et al. [9, 10], for peach DF concentrate and rice bran (1.11 and 4.54 g oil/g sample). The high OHC of Agave insoluble DF concentrate suggested that this material could be used as an ingredient to stabilize foods with a high percentage of fat and emulsion [12]. Fructans concentrate has not good water and oil holding capacities; however, it showed a high solubility at 25°C of 86.52 ± 3.47 g/L which is comparable with commercial chicory inulin (113.68 ± 4.14 g/L).Table 12
Water and oil holding capacities ofAgave fibres concentrate (g/g of fibres concentrate).
IF
SF
Water holding capacity
8.66 ± 0.02
2.28 ± 0.03
Oil holding capacity
5.62 ± 0.03
3.37 ± 0.01


#### 3.3.3. Microstructure Visualization

As it can be well seen in Figure5, Agave insoluble fibres have two distinct morphologies. In micrograph of Figure 5(e), hemicelluloses filaments overlap to form an amorphous nodular network and play the role of gathering and supporting elements of principal structure [7]. This latter, of 150 to 200 μm of diameter (micrographs of Figures 5(a) and 5(b)), has a cylindrical shape associating helicoidal microfibrils called tracheids (micrographs of Figures 5(c) and 5(d)). These voluminous structures have a low density and show a lot of vacuum which illustrate and justify the high water and oil holding capacities. Izydorczyk and Dexter [35] revealed similar structures for barley fibres and found a high WHC when they incorporate this product in bread formulation.Scanning electron microscopy images of insoluble fibres concentrate fromAgave americana L.; scale bar for (a) and (e), 100 μm; scale bar for (b), 50 μm; scale bar for (c) and (d), 10 μm.
(a)
(b)
(c)
(d)
(e)Agave fructans morphology was also visualized using scanning electron microscopy and compared to commercial chicory inulin in order to have additional information concerning impact of botanic source and extraction conditions on fructans structures (Figure 6). Micrographs of Figures 6(a), 6(b), and 6(c) show irregular structure of commercial product. Nonuniform particles sized from 50 to 70 μm are squeezed with small spherical particles sized under 10 μm. However, micrographs of Figures 6(d), 6(e), and 6(f) show a heterogenic structure illustrating pronounced morphological and dimensional variability. Indeed, commercial product is finely milled and microfluidized; this fact explains the observed homogeneity of structure. This result is in accordance with the discussion of other works which illustrated that microfluidized inulin particles have a uniform shape and were interspaced by voids when nonmicrofluidized inulin was arranged as a superposition of lamella or on amorphous shape [23–36].Scanning electron microscopy images of commercial inulin (a, b, and c) and soluble fibres concentrate ofAgave Americana L. (d, e, and f); scale bar for (d), 500 μm; scale bar for (a) and (e), 200 μm; scale bar for (b), 100 μm; scale bar for (c) and (f), 20 μm.
(a)
(b)
(c)
(d)
(e)
(f)


## 3.1. Chemical Composition

The main characteristics of theAgave’s leaves are given in Table 2. High moisture and protein and total carbohydrate contents were observed. However, low fat and ash contents were found. This plant exhibited a low pH value. This low pH could be explained by the presence of many organic acids such as malic, citric, and oxalic acids [30]. Agave’s leaves had high contents of soluble and insoluble fibres (7.72% and 37.88%, resp.). These values are comparable with those reported for Opuntia ficus indica f. inermis cladodes (8.78% and 30.36% of soluble and insoluble fibres, resp.) [17].Table 2
Chemical composition ofAgave leaves (g/100 g dry matter).
Components
Values
Dry matter (%)
16.42 ± 0.71
pH
5.03 ± 0.08
Protein
28.90 ± 1.46
Fat
5.46 ± 0.02
Ash
3.53 ± 0.33
Total carbohydrates
62.74 ± 1.38
Reducing sugars
20.06 ± 0.10
Soluble dietary fibres
7.72 ± 0.21
Insoluble dietary fibres
37.88 ± 0.49
Total dietary fibres
45.05 ± 0.96Table3 summarized the mineral composition of the Agave’s leaves. Potassium is the most abundant mineral (1.103 g/100 g of dry weight). It was as twice as calcium content. Magnesium and sodium contents were, respectively, 86 and 37 mg/100 g of dry weight. However copper and zinc were found at very low level. These values were lower than those observed by Ayadi et al. [17] for Opuntia ficus cladodes and those found by Femenia et al. [31] in Aloe Vera.Table 3
Mineral composition ofAgave leaves.
Mineral
Values
Ka
1.103 ± 0.017
Caa
0.571 ± 0.016
Naa
0.037 ± 0.002
Mga
0.086 ± 0.006
Znb
1.299 ± 0.151
Cub
0.307 ± 0.015
ag/100 g dry matter; bmg/100 g dry matter.The chemical composition of theAgave leaves (high amount of fibres and proteins), as well as the low cost of exploitation, can justify the search of valorization of this product. Indeed, Agave leaves could be considered as a potential source of dietary fibres.


## 3.2. Experimental Approach

### 3.2.1. Screening Step

Twelve experiments were carried out to select significant factors from those cited in Table1 according to the conditions indicated in Tables 4 and 5 for insoluble and soluble fibres extraction, respectively. Response values (fibres yields) are reported in the last column of each table. These observed responses were used to compute coefficients of each model. This allowed us to write the following models:
(1)
y
^
1
=
63.009
+
5.193
X
1
+
8.171
X
2
+
0.136
X
3
+
0.516
X
4
+
4.898
X
5
+
3.336
X
6
,
y
^
2
=
51.076
+
5.623
X
1
+
8.193
X
2
+
0.583
X
3
+
0.547
X
4
+
3.576
X
5
+
3.576
X
6
+
1.099
X
7
-
1.433
X
8
,
where y
^
1 is insoluble fibres extraction yield, y
^
2 is soluble fibres extraction yield, X
1 is powder to water ratio (P/W), X
2 is extraction temperature, X
3 is pH, X
4 is time, X
5 is agitation speed, X
6 is ionic strength, X
7 is medium to ethanol ratio (M/E), and X
8 is ethanol precipitation temperature.Table 4
Experimental conditions of Plackett-Burman design for insoluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
IF extraction yield (%)
1
0.1
80
4
2
400
2
89.87
2
0.0333
80
9
0.5
400
2
74.10
3
0.1
60
9
2
200
2
63.03
4
0.0333
80
4
2
400
1
65.67
5
0.0333
60
9
0.5
400
2
57.24
6
0.0333
60
4
2
200
2
46.57
7
0.1
60
4
0.5
400
1
66.24
8
0.1
80
4
0.5
200
2
67.26
9
0.1
80
9
0.5
200
1
68.49
10
0.0333
80
9
2
200
1
61.69
11
0.1
60
9
2
400
1
54.32
12
0.0333
60
4
0.5
200
1
41.63Table 5
Experimental conditions of Plackett-Burman design for soluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
M/E ratio
Precipitation temperature
SF extraction yield (%)
1
0.1
80
4
2
400
2
0.25
5
73.03
2
0.0333
80
9
0.5
400
2
0.5
5
65.61
3
0.1
60
9
2
200
2
0.5
35
51.85
4
0.0333
80
4
2
400
1
0.5
35
52.89
5
0.0333
60
9
0.5
400
2
0.25
35
39.67
6
0.0333
60
4
2
200
2
0.5
5
37.21
7
0.1
60
4
0.5
400
1
0.5
35
47.43
8
0.1
80
4
0.5
200
2
0.25
35
60.54
9
0.1
80
9
0.5
200
1
0.5
5
58.06
10
0.0333
80
9
2
200
1
0.25
35
45.48
11
0.1
60
9
2
400
1
0.25
5
49.28
12
0.0333
60
4
0.5
200
1
0.25
5
31.86The analysis of variance showed that the regression sum of squares was statistically significant at the level of 95% for both insoluble and soluble fibres extractions. Results of this analysis for each design are summarized in Table6. Coefficients of determination, R
2, were 0.886 and 0.977 for insoluble and soluble fibres extraction yield respectively. Thus, the predicted models well represented the observed values.Table 6
Analysis of variance for Plackett-Burman designs.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1549.47
6
258.245
6.5046
2.89*
Residuals
198.51
5
39.702
Total
1747.98
11
SF
Regression
1538.42
8
192.303
15.8162
2.22*
Residuals
36.48
3
12.159
Total
1574.9
11
*Significant at the level of 95%.The analysis of the contrast coefficientb
j as it can be seen in Figure 2(a) showed that three factors: temperature, Agave powder to water ratio, and agitation speed had pronounced influence on the insoluble fibres extraction yield. Temperature and powder to water ratio improve the hydrodynamic process by increasing the diffusion of hydrophilic biomolecules to liquid extraction which allows the best fibres extraction efficiency and the highest purity [32, 33]. As for agitation speed, it accelerates the diffusion rate of molecules and homogenizes extraction medium. The other factors were statistically not significant. However, ionic strength was the most important factor from nonsignificant ones (b
6
=
3.34). This fact can be explained by the precipitation of protein present abundantly in Agave leaves leading to obtain a more pure DF concentrate. On the other hand, Figure 2(b) showed that four factors: temperature, Agave powder to water ratio (P/W), agitation speed, and ionic strength had pronounced effect on the soluble fibres extraction yields. Thus, it seems evident to retain these factors in order to optimize soluble and insoluble fibres extraction using the RSM.Graphical study of factor effects on soluble and insoluble fibres extraction (screening step): (a) insoluble fibres screening design and (b) soluble fibres screening design.
(a)
(b)


### 3.2.2. Optimization by RSM

A Box-Behnken design was chosen to look for the best experimental conditions of four independent factors kept after the screening study which areX
1: powder to water ratio; X
2: extraction temperature (°C); X
3: agitation speed (rpm); and X
4: ionic strength (g of NaCl/L). For each factor, the experimental range was chosen on the basis of results of screening experiments. On the one hand, powder to water ratio and temperature domains were extended due to their high significance detected in the screening step. On the other hand, extraction time was fixed at 30 minutes and pH at its natural value to reduce the cost of this process. In addition, the precipitation of soluble fibres was carried out in ambient temperature using a 0.5 ethanol to medium ratio for economic reasons. The relationship between the extraction yield and the four variables for each response was approximated by the following second order polynomial function:
(2)
y
^
=
b
0
+
b
1
X
1
+
b
2
X
2
+
b
3
X
3
+
b
4
X
4
+
b
11
X
1
2
+
b
22
X
2
2
+
b
33
X
3
2
+
b
44
X
4
2
+
b
12
X
1
X
2
+
b
13
X
1
X
3
+
b
23
X
2
X
3
+
b
14
X
1
X
4
+
b
24
X
2
X
4
+
b
34
X
3
X
4
.Twenty-five experiments were carried out to estimate the 15 model coefficients for each response according to the conditions indicated in Table7. In order to estimate the pure error variance, five replications were performed at the central point [13]. Response values (fibres yields) are reported in the two last columns of Table 7; these values were used to estimate the model coefficients b
j by the least square method which allowed us to write the following estimated models:
(3)
insoluble
DF
:
y
^
1
=
71.005
+
4.960
X
1
+
5.593
X
2
+
3.369
X
3
+
3.003
X
1
2
+
3.575
X
2
2
+
3.094
X
3
2
+
2.279
X
4
2
+
2.930
X
2
X
3
,
soluble
DF
:
y
^
2
=
60.409
+
4.724
X
1
+
5.144
X
2
+
3.371
X
3
+
1.173
X
4
+
2.282
X
1
2
+
4.806
X
2
2
+
3.298
X
3
2
+
3.222
X
4
2
+
1.572
X
2
X
3
+
2.201
X
2
X
4
.
It can be seen from the regression equation of insoluble fibres extraction that only the linear coefficient corresponding to ionic strength was not significant. This result is in agreement with screening results. However, all quadric terms were highly significant; X
4
2 include all other quadric terms aliased with linear ones. Finally, a positive correlation between temperature and agitation velocity occurred. This result can be explained by the contribution of this interaction to break connections of fibres to other macromolecules which allows the increase of the purity of the fibre extract.Table 7
Experimental conditions of Box-Behnken design and the corresponding experimental responses.
N
° Exp
P/W ratio
Temperature
Agitation velocity
Ionic strength
IF extraction yield (%)
SF extraction yield (%)
1
0.050
60
300
1.5
64.34
56.67
2
0.200
60
300
1.5
79.06
69.04
3
0.050
90
300
1.5
78.45
68.39
4
0.200
90
300
1.5
88.23
77.24
5
0.050
75
200
1.5
69.87
59.26
6
0.200
75
200
1.5
77.06
68.04
7
0.050
75
400
1.5
74.87
62.34
8
0.200
75
400
1.5
85.45
74.53
9
0.050
75
300
1.0
72.11
60.49
10
0.200
75
300
1.0
80.85
67.05
11
0.050
75
300
2.0
72.54
63.44
12
0.200
75
300
2.0
81.05
71.35
13
0.125
60
200
1.5
70.86
59.79
14
0.125
90
200
1.5
78.65
69.45
15
0.125
60
400
1.5
71.54
63.73
16
0.125
90
400
1.5
91.05
79.57
17
0.125
60
300
1.0
72.20
66.43
18
0.125
90
300
1.0
79.85
70.46
19
0.125
60
300
2.0
72.67
62.41
20
0.125
90
300
2.0
81.56
75.16
21
0.125
75
200
1.0
73.32
61.48
22
0.125
75
400
1.0
79.47
69.66
23
0.125
75
200
2.0
72.33
64.86
24
0.125
75
400
2.0
80.14
73.23
25
0.125
75
300
1.5
70.38
62.34
26
0.125
75
300
1.5
71.92
61.05
27
0.125
75
300
1.5
69.83
59.97
28
0.125
75
300
1.5
71.47
60.05
29
0.125
75
300
1.5
70.18
61.28
30
0.125
75
300
1.5
72.25
60.63For the soluble fibres extraction, all linear and quadric terms were highly significant and had a positive effect on the response. Moreover, positive correlations occurred between temperature and agitation velocity on the one hand and temperature and ionic strength on the other hand. This latter interaction could be explained by the denaturation of protein leading to a higher purity.The analysis of variance for fitted models showed that the regression sum of squares was statistically significant at the level of 99.99% for two responses and the lack of fit was not significant. Results of this analysis are summarized in Table8. The coefficients of determination, R
2, for insoluble and soluble fibres extraction yields were 0.971 and 0.964, respectively. Thus, the predicted model well represented the observed values.Table 8
Analysis of variance for Box-Behnken design.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1030.01
14
73.572
36.072
<0.01***
Residuals
30.594
15
2.039
Validity
25.539
10
2.554
2.526
15.9
Error
5.055
5
1.011
Total
1060.6
29
SF
Regression
999.31
14
71.379
29.567
<0.01***
Residuals
36.213
15
2.414
Validity
32.313
10
3.231
4.143
6.5
Error
3.899
5
0.779
Total
1035.52
29
*
*
*Significant at the level of 99.99%.In order to validate the adequacy of model equations using point test method, five verification experiments were accomplished under various extracting conditions (within the experimental range). Table9 presents design matrix along with the experimental results and theoretical values predicted by regression equations. Correlation coefficients (R
2) between experimental and predicted values for two responses were 0.967 and 0.964. There was no statistically significant difference at level of 95% between experimental and predicted values. Results clearly indicate that experimental values are in good agreement with predicted ones and also suggest that regression models are accurate and adequate for the extraction of both soluble and insoluble fibres which consolidate ANOVA results.Table 9
Models validation experiments.
Exp.
IF
SF
yi
y
^i
yi
y
^i
31
67.180
67.295
56.430
57.183
32
73.350
73.081
61.790
62.495
33
72.230
75.082
63.430
64.944
34
74.370
74.747
63.910
64.478
35
71.450
72.291
61.170
63.292
yi: experimental value
y
^i: predicted value.The relationship between responses and experimental variables can be illustrated graphically by contours plots (Figures3 and 4). The topography of these responses is illustrated by isoresponse contours representing lines of constant response in a two-variable plane. Such plots are helpful in studying the effects of the variation of the factors in the studied domain and, consequently, in determining the optimal experimental conditions [34].Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b) temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on insoluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b)  temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on soluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)In Figure3(a) the examination of the isoresponse contours plot showed that the yield increased when increasing temperature and/or increasing the Agave powder to water ratio.  These effects were markedly shown for temperatures over 75°C and for P/W ratio higher than 0.145. This can be explained by the high solubility of fructans and simple sugars which increases with increasing temperature, giving a higher purity of extract. Similar results were obtained by Masmoudi et al. [13] for extracting pectin from lemon with acidified date juice. Qiao et al. [29] showed that the best yield of polysaccharide extracted from Hyriopsis cumingii occurs at a low ratio of water to raw material and a temperature of 80°C which is close to our results.The positive effect of temperature above 75°C was also demonstrated in Figure3(b). Thus, the increase of temperature and agitation speed improved the fibre extraction yield. This positive correlation can be explained by the thermodynamic effect on breaking connections of fibres to other biomolecules. In Figures 3(c) and 3(d), isoresponse curves are arranged in linear trajectory parallel to the vertical axis corresponding to the ionic strength. This fact appears as an evident, logical, and expected consequence which is in perfect harmony with the screening study.Similar conclusions could be obtained from analyzing contours plots dressed in Figure4. As previous discussion showed, all factors involved in the optimization study affect significantly fructans extraction. This fact is probably due to the thermodynamic and hydrodynamic phenomena. Ionic strength was significant as it intervenes by increasing purity while precipitating soluble protein.Optimal extraction conditions: powder to water ratio of 0.1625, extracting temperature of 90°C, agitation speed of 400 rpm, and NaCl concentration of 1.5 g/L were determined using Nemrod W software. The suitability of these optimal extracting variables was also tested by executing the experiment under these conditions. Measured values belonged to the predicted intervals of both optimum insoluble and soluble fibres extraction yield (Table10).Table 10
Suitability of selected optimal conditions to the measured values.
IF
Measured values: yi (%)
93.02
Predicted value:y
^i (%)
92.56 ± 2.43
SF
Measured values: yi (%)
80.46
Predicted value:y
^i (%)
81.53 ± 2.55


## 3.2.1. Screening Step

Twelve experiments were carried out to select significant factors from those cited in Table1 according to the conditions indicated in Tables 4 and 5 for insoluble and soluble fibres extraction, respectively. Response values (fibres yields) are reported in the last column of each table. These observed responses were used to compute coefficients of each model. This allowed us to write the following models:
(1)
y
^
1
=
63.009
+
5.193
X
1
+
8.171
X
2
+
0.136
X
3
+
0.516
X
4
+
4.898
X
5
+
3.336
X
6
,
y
^
2
=
51.076
+
5.623
X
1
+
8.193
X
2
+
0.583
X
3
+
0.547
X
4
+
3.576
X
5
+
3.576
X
6
+
1.099
X
7
-
1.433
X
8
,
where y
^
1 is insoluble fibres extraction yield, y
^
2 is soluble fibres extraction yield, X
1 is powder to water ratio (P/W), X
2 is extraction temperature, X
3 is pH, X
4 is time, X
5 is agitation speed, X
6 is ionic strength, X
7 is medium to ethanol ratio (M/E), and X
8 is ethanol precipitation temperature.Table 4
Experimental conditions of Plackett-Burman design for insoluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
IF extraction yield (%)
1
0.1
80
4
2
400
2
89.87
2
0.0333
80
9
0.5
400
2
74.10
3
0.1
60
9
2
200
2
63.03
4
0.0333
80
4
2
400
1
65.67
5
0.0333
60
9
0.5
400
2
57.24
6
0.0333
60
4
2
200
2
46.57
7
0.1
60
4
0.5
400
1
66.24
8
0.1
80
4
0.5
200
2
67.26
9
0.1
80
9
0.5
200
1
68.49
10
0.0333
80
9
2
200
1
61.69
11
0.1
60
9
2
400
1
54.32
12
0.0333
60
4
0.5
200
1
41.63Table 5
Experimental conditions of Plackett-Burman design for soluble fibres extraction and the corresponding experimental responses.
N
° exp
P/W     ratio
Temperature
pH
Time
Agitation speed
Ionic strength
M/E ratio
Precipitation temperature
SF extraction yield (%)
1
0.1
80
4
2
400
2
0.25
5
73.03
2
0.0333
80
9
0.5
400
2
0.5
5
65.61
3
0.1
60
9
2
200
2
0.5
35
51.85
4
0.0333
80
4
2
400
1
0.5
35
52.89
5
0.0333
60
9
0.5
400
2
0.25
35
39.67
6
0.0333
60
4
2
200
2
0.5
5
37.21
7
0.1
60
4
0.5
400
1
0.5
35
47.43
8
0.1
80
4
0.5
200
2
0.25
35
60.54
9
0.1
80
9
0.5
200
1
0.5
5
58.06
10
0.0333
80
9
2
200
1
0.25
35
45.48
11
0.1
60
9
2
400
1
0.25
5
49.28
12
0.0333
60
4
0.5
200
1
0.25
5
31.86The analysis of variance showed that the regression sum of squares was statistically significant at the level of 95% for both insoluble and soluble fibres extractions. Results of this analysis for each design are summarized in Table6. Coefficients of determination, R
2, were 0.886 and 0.977 for insoluble and soluble fibres extraction yield respectively. Thus, the predicted models well represented the observed values.Table 6
Analysis of variance for Plackett-Burman designs.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1549.47
6
258.245
6.5046
2.89*
Residuals
198.51
5
39.702
Total
1747.98
11
SF
Regression
1538.42
8
192.303
15.8162
2.22*
Residuals
36.48
3
12.159
Total
1574.9
11
*Significant at the level of 95%.The analysis of the contrast coefficientb
j as it can be seen in Figure 2(a) showed that three factors: temperature, Agave powder to water ratio, and agitation speed had pronounced influence on the insoluble fibres extraction yield. Temperature and powder to water ratio improve the hydrodynamic process by increasing the diffusion of hydrophilic biomolecules to liquid extraction which allows the best fibres extraction efficiency and the highest purity [32, 33]. As for agitation speed, it accelerates the diffusion rate of molecules and homogenizes extraction medium. The other factors were statistically not significant. However, ionic strength was the most important factor from nonsignificant ones (b
6
=
3.34). This fact can be explained by the precipitation of protein present abundantly in Agave leaves leading to obtain a more pure DF concentrate. On the other hand, Figure 2(b) showed that four factors: temperature, Agave powder to water ratio (P/W), agitation speed, and ionic strength had pronounced effect on the soluble fibres extraction yields. Thus, it seems evident to retain these factors in order to optimize soluble and insoluble fibres extraction using the RSM.Graphical study of factor effects on soluble and insoluble fibres extraction (screening step): (a) insoluble fibres screening design and (b) soluble fibres screening design.
(a)
(b)


## 3.2.2. Optimization by RSM

A Box-Behnken design was chosen to look for the best experimental conditions of four independent factors kept after the screening study which areX
1: powder to water ratio; X
2: extraction temperature (°C); X
3: agitation speed (rpm); and X
4: ionic strength (g of NaCl/L). For each factor, the experimental range was chosen on the basis of results of screening experiments. On the one hand, powder to water ratio and temperature domains were extended due to their high significance detected in the screening step. On the other hand, extraction time was fixed at 30 minutes and pH at its natural value to reduce the cost of this process. In addition, the precipitation of soluble fibres was carried out in ambient temperature using a 0.5 ethanol to medium ratio for economic reasons. The relationship between the extraction yield and the four variables for each response was approximated by the following second order polynomial function:
(2)
y
^
=
b
0
+
b
1
X
1
+
b
2
X
2
+
b
3
X
3
+
b
4
X
4
+
b
11
X
1
2
+
b
22
X
2
2
+
b
33
X
3
2
+
b
44
X
4
2
+
b
12
X
1
X
2
+
b
13
X
1
X
3
+
b
23
X
2
X
3
+
b
14
X
1
X
4
+
b
24
X
2
X
4
+
b
34
X
3
X
4
.Twenty-five experiments were carried out to estimate the 15 model coefficients for each response according to the conditions indicated in Table7. In order to estimate the pure error variance, five replications were performed at the central point [13]. Response values (fibres yields) are reported in the two last columns of Table 7; these values were used to estimate the model coefficients b
j by the least square method which allowed us to write the following estimated models:
(3)
insoluble
DF
:
y
^
1
=
71.005
+
4.960
X
1
+
5.593
X
2
+
3.369
X
3
+
3.003
X
1
2
+
3.575
X
2
2
+
3.094
X
3
2
+
2.279
X
4
2
+
2.930
X
2
X
3
,
soluble
DF
:
y
^
2
=
60.409
+
4.724
X
1
+
5.144
X
2
+
3.371
X
3
+
1.173
X
4
+
2.282
X
1
2
+
4.806
X
2
2
+
3.298
X
3
2
+
3.222
X
4
2
+
1.572
X
2
X
3
+
2.201
X
2
X
4
.
It can be seen from the regression equation of insoluble fibres extraction that only the linear coefficient corresponding to ionic strength was not significant. This result is in agreement with screening results. However, all quadric terms were highly significant; X
4
2 include all other quadric terms aliased with linear ones. Finally, a positive correlation between temperature and agitation velocity occurred. This result can be explained by the contribution of this interaction to break connections of fibres to other macromolecules which allows the increase of the purity of the fibre extract.Table 7
Experimental conditions of Box-Behnken design and the corresponding experimental responses.
N
° Exp
P/W ratio
Temperature
Agitation velocity
Ionic strength
IF extraction yield (%)
SF extraction yield (%)
1
0.050
60
300
1.5
64.34
56.67
2
0.200
60
300
1.5
79.06
69.04
3
0.050
90
300
1.5
78.45
68.39
4
0.200
90
300
1.5
88.23
77.24
5
0.050
75
200
1.5
69.87
59.26
6
0.200
75
200
1.5
77.06
68.04
7
0.050
75
400
1.5
74.87
62.34
8
0.200
75
400
1.5
85.45
74.53
9
0.050
75
300
1.0
72.11
60.49
10
0.200
75
300
1.0
80.85
67.05
11
0.050
75
300
2.0
72.54
63.44
12
0.200
75
300
2.0
81.05
71.35
13
0.125
60
200
1.5
70.86
59.79
14
0.125
90
200
1.5
78.65
69.45
15
0.125
60
400
1.5
71.54
63.73
16
0.125
90
400
1.5
91.05
79.57
17
0.125
60
300
1.0
72.20
66.43
18
0.125
90
300
1.0
79.85
70.46
19
0.125
60
300
2.0
72.67
62.41
20
0.125
90
300
2.0
81.56
75.16
21
0.125
75
200
1.0
73.32
61.48
22
0.125
75
400
1.0
79.47
69.66
23
0.125
75
200
2.0
72.33
64.86
24
0.125
75
400
2.0
80.14
73.23
25
0.125
75
300
1.5
70.38
62.34
26
0.125
75
300
1.5
71.92
61.05
27
0.125
75
300
1.5
69.83
59.97
28
0.125
75
300
1.5
71.47
60.05
29
0.125
75
300
1.5
70.18
61.28
30
0.125
75
300
1.5
72.25
60.63For the soluble fibres extraction, all linear and quadric terms were highly significant and had a positive effect on the response. Moreover, positive correlations occurred between temperature and agitation velocity on the one hand and temperature and ionic strength on the other hand. This latter interaction could be explained by the denaturation of protein leading to a higher purity.The analysis of variance for fitted models showed that the regression sum of squares was statistically significant at the level of 99.99% for two responses and the lack of fit was not significant. Results of this analysis are summarized in Table8. The coefficients of determination, R
2, for insoluble and soluble fibres extraction yields were 0.971 and 0.964, respectively. Thus, the predicted model well represented the observed values.Table 8
Analysis of variance for Box-Behnken design.
Source of variation
Sum of squares
Degrees of freedom
Mean square
Ratio
Significance
IF
Regression
1030.01
14
73.572
36.072
<0.01***
Residuals
30.594
15
2.039
Validity
25.539
10
2.554
2.526
15.9
Error
5.055
5
1.011
Total
1060.6
29
SF
Regression
999.31
14
71.379
29.567
<0.01***
Residuals
36.213
15
2.414
Validity
32.313
10
3.231
4.143
6.5
Error
3.899
5
0.779
Total
1035.52
29
*
*
*Significant at the level of 99.99%.In order to validate the adequacy of model equations using point test method, five verification experiments were accomplished under various extracting conditions (within the experimental range). Table9 presents design matrix along with the experimental results and theoretical values predicted by regression equations. Correlation coefficients (R
2) between experimental and predicted values for two responses were 0.967 and 0.964. There was no statistically significant difference at level of 95% between experimental and predicted values. Results clearly indicate that experimental values are in good agreement with predicted ones and also suggest that regression models are accurate and adequate for the extraction of both soluble and insoluble fibres which consolidate ANOVA results.Table 9
Models validation experiments.
Exp.
IF
SF
yi
y
^i
yi
y
^i
31
67.180
67.295
56.430
57.183
32
73.350
73.081
61.790
62.495
33
72.230
75.082
63.430
64.944
34
74.370
74.747
63.910
64.478
35
71.450
72.291
61.170
63.292
yi: experimental value
y
^i: predicted value.The relationship between responses and experimental variables can be illustrated graphically by contours plots (Figures3 and 4). The topography of these responses is illustrated by isoresponse contours representing lines of constant response in a two-variable plane. Such plots are helpful in studying the effects of the variation of the factors in the studied domain and, consequently, in determining the optimal experimental conditions [34].Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b) temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on insoluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)Contour plots illustrating the effect of (a) temperature and P/W ratio at constant agitation speed (300 rpm) and ionic strength (1.5 g/L), (b)  temperature and agitation speed at constant P/W ratio (0.125) and ionic strength (1.5 g/L), (c) ionic strength and P/W ratio at constant agitation speed (300 rpm) and temperature (75°C), and (d) ionic strength and agitation speed at constant P/W ratio (0.125) and temperature (75°C) on soluble fibres yield extracted from driedAgave leaves’ powder.
(a)
(b)
(c)
(d)In Figure3(a) the examination of the isoresponse contours plot showed that the yield increased when increasing temperature and/or increasing the Agave powder to water ratio.  These effects were markedly shown for temperatures over 75°C and for P/W ratio higher than 0.145. This can be explained by the high solubility of fructans and simple sugars which increases with increasing temperature, giving a higher purity of extract. Similar results were obtained by Masmoudi et al. [13] for extracting pectin from lemon with acidified date juice. Qiao et al. [29] showed that the best yield of polysaccharide extracted from Hyriopsis cumingii occurs at a low ratio of water to raw material and a temperature of 80°C which is close to our results.The positive effect of temperature above 75°C was also demonstrated in Figure3(b). Thus, the increase of temperature and agitation speed improved the fibre extraction yield. This positive correlation can be explained by the thermodynamic effect on breaking connections of fibres to other biomolecules. In Figures 3(c) and 3(d), isoresponse curves are arranged in linear trajectory parallel to the vertical axis corresponding to the ionic strength. This fact appears as an evident, logical, and expected consequence which is in perfect harmony with the screening study.Similar conclusions could be obtained from analyzing contours plots dressed in Figure4. As previous discussion showed, all factors involved in the optimization study affect significantly fructans extraction. This fact is probably due to the thermodynamic and hydrodynamic phenomena. Ionic strength was significant as it intervenes by increasing purity while precipitating soluble protein.Optimal extraction conditions: powder to water ratio of 0.1625, extracting temperature of 90°C, agitation speed of 400 rpm, and NaCl concentration of 1.5 g/L were determined using Nemrod W software. The suitability of these optimal extracting variables was also tested by executing the experiment under these conditions. Measured values belonged to the predicted intervals of both optimum insoluble and soluble fibres extraction yield (Table10).Table 10
Suitability of selected optimal conditions to the measured values.
IF
Measured values: yi (%)
93.02
Predicted value:y
^i (%)
92.56 ± 2.43
SF
Measured values: yi (%)
80.46
Predicted value:y
^i (%)
81.53 ± 2.55


## 3.3. Characteristics of Insoluble Fibres Concentrate

### 3.3.1. Physical and Chemical Analysis of DF Concentrates

Analyses of lyophilised insoluble and soluble fibres are given in Table11. Analysis showed high dry matter content (94.51% and 91.67%) and low water activity (0.225 and 0.337) for insoluble and soluble fibres, respectively, which allows a good microbiological stability and long preservation. The amount of fibres was of about 86 g/100 g and 90 g/100 g for insoluble and soluble fibres, respectively. These values are close to levels measured for DF preparations from date (ranging between 88 and 92% depending on the variety used for the process) and apple (89.8%), but notably higher than those of other fruits DF concentrates reported for grapefruit, lemon, orange and mango (28–78.2%), citrus peel (57%), and mango peel (~71%) [12]. Table 10 reveals the presence of ash as a major contaminant of insoluble DF concentrate (~8%) followed by protein, soluble sugars, and fat; this may be due to the use of sodium chloride in the extraction process. For fructans, soluble sugars and ash are the main contaminant of the extract. The low level of protein obtained could be due to the repeating washings after extraction leading to the elimination of amino acids issued from protein hydrolysis at high temperatures.Table 11
Chemical composition of insoluble and soluble fibres concentrates (g/100 g dry matter).
IF
SF
Dry matter (%)
94.51 ± 0.14
91.67 ± 0.27
a
w
0.225 ± 0.002
0.337 ± 0.002
pH
6.35 ± 0.04
5.59 ± 0.04
Total fibres
86.23 ± 1.32
89.84 ± 0.88
Ash
8.01 ± 0.05
3.25 ± 0.17
proteins
2.32 ± 0.09
1.44 ± 0.11
Fat
1.24 ± 0.04
0.097 ± 0.003
Soluble sugars
1.58 ± 0.21
4.42 ± 0.54


### 3.3.2. Water and Oil Holding Capacities (WHC and OHC)

Insoluble fibres concentrate showed a high WHC (8.66 g water/g sample) (Table12). This value is higher than those reported for other fruit fibre concentrates, such as citrus, apple, oat bran, and pear DF (3.6 to 6.8 g water/g sample) [9]. The high WHC of Agave insoluble fibres concentrate suggested that this material could be used as a functional ingredient in food to avoid syneresis of formulated products [12]. This concentrate is also characterised by a high OHC (5.6 g oil/g sample) (Table 12), superior to some agricultural byproducts and DF concentrates cited by Abdul-Hamid et al. [9, 10], for peach DF concentrate and rice bran (1.11 and 4.54 g oil/g sample). The high OHC of Agave insoluble DF concentrate suggested that this material could be used as an ingredient to stabilize foods with a high percentage of fat and emulsion [12]. Fructans concentrate has not good water and oil holding capacities; however, it showed a high solubility at 25°C of 86.52 ± 3.47 g/L which is comparable with commercial chicory inulin (113.68 ± 4.14 g/L).Table 12
Water and oil holding capacities ofAgave fibres concentrate (g/g of fibres concentrate).
IF
SF
Water holding capacity
8.66 ± 0.02
2.28 ± 0.03
Oil holding capacity
5.62 ± 0.03
3.37 ± 0.01


### 3.3.3. Microstructure Visualization

As it can be well seen in Figure5, Agave insoluble fibres have two distinct morphologies. In micrograph of Figure 5(e), hemicelluloses filaments overlap to form an amorphous nodular network and play the role of gathering and supporting elements of principal structure [7]. This latter, of 150 to 200 μm of diameter (micrographs of Figures 5(a) and 5(b)), has a cylindrical shape associating helicoidal microfibrils called tracheids (micrographs of Figures 5(c) and 5(d)). These voluminous structures have a low density and show a lot of vacuum which illustrate and justify the high water and oil holding capacities. Izydorczyk and Dexter [35] revealed similar structures for barley fibres and found a high WHC when they incorporate this product in bread formulation.Scanning electron microscopy images of insoluble fibres concentrate fromAgave americana L.; scale bar for (a) and (e), 100 μm; scale bar for (b), 50 μm; scale bar for (c) and (d), 10 μm.
(a)
(b)
(c)
(d)
(e)Agave fructans morphology was also visualized using scanning electron microscopy and compared to commercial chicory inulin in order to have additional information concerning impact of botanic source and extraction conditions on fructans structures (Figure 6). Micrographs of Figures 6(a), 6(b), and 6(c) show irregular structure of commercial product. Nonuniform particles sized from 50 to 70 μm are squeezed with small spherical particles sized under 10 μm. However, micrographs of Figures 6(d), 6(e), and 6(f) show a heterogenic structure illustrating pronounced morphological and dimensional variability. Indeed, commercial product is finely milled and microfluidized; this fact explains the observed homogeneity of structure. This result is in accordance with the discussion of other works which illustrated that microfluidized inulin particles have a uniform shape and were interspaced by voids when nonmicrofluidized inulin was arranged as a superposition of lamella or on amorphous shape [23–36].Scanning electron microscopy images of commercial inulin (a, b, and c) and soluble fibres concentrate ofAgave Americana L. (d, e, and f); scale bar for (d), 500 μm; scale bar for (a) and (e), 200 μm; scale bar for (b), 100 μm; scale bar for (c) and (f), 20 μm.
(a)
(b)
(c)
(d)
(e)
(f)


## 3.3.1. Physical and Chemical Analysis of DF Concentrates

Analyses of lyophilised insoluble and soluble fibres are given in Table11. Analysis showed high dry matter content (94.51% and 91.67%) and low water activity (0.225 and 0.337) for insoluble and soluble fibres, respectively, which allows a good microbiological stability and long preservation. The amount of fibres was of about 86 g/100 g and 90 g/100 g for insoluble and soluble fibres, respectively. These values are close to levels measured for DF preparations from date (ranging between 88 and 92% depending on the variety used for the process) and apple (89.8%), but notably higher than those of other fruits DF concentrates reported for grapefruit, lemon, orange and mango (28–78.2%), citrus peel (57%), and mango peel (~71%) [12]. Table 10 reveals the presence of ash as a major contaminant of insoluble DF concentrate (~8%) followed by protein, soluble sugars, and fat; this may be due to the use of sodium chloride in the extraction process. For fructans, soluble sugars and ash are the main contaminant of the extract. The low level of protein obtained could be due to the repeating washings after extraction leading to the elimination of amino acids issued from protein hydrolysis at high temperatures.Table 11
Chemical composition of insoluble and soluble fibres concentrates (g/100 g dry matter).
IF
SF
Dry matter (%)
94.51 ± 0.14
91.67 ± 0.27
a
w
0.225 ± 0.002
0.337 ± 0.002
pH
6.35 ± 0.04
5.59 ± 0.04
Total fibres
86.23 ± 1.32
89.84 ± 0.88
Ash
8.01 ± 0.05
3.25 ± 0.17
proteins
2.32 ± 0.09
1.44 ± 0.11
Fat
1.24 ± 0.04
0.097 ± 0.003
Soluble sugars
1.58 ± 0.21
4.42 ± 0.54


## 3.3.2. Water and Oil Holding Capacities (WHC and OHC)

Insoluble fibres concentrate showed a high WHC (8.66 g water/g sample) (Table12). This value is higher than those reported for other fruit fibre concentrates, such as citrus, apple, oat bran, and pear DF (3.6 to 6.8 g water/g sample) [9]. The high WHC of Agave insoluble fibres concentrate suggested that this material could be used as a functional ingredient in food to avoid syneresis of formulated products [12]. This concentrate is also characterised by a high OHC (5.6 g oil/g sample) (Table 12), superior to some agricultural byproducts and DF concentrates cited by Abdul-Hamid et al. [9, 10], for peach DF concentrate and rice bran (1.11 and 4.54 g oil/g sample). The high OHC of Agave insoluble DF concentrate suggested that this material could be used as an ingredient to stabilize foods with a high percentage of fat and emulsion [12]. Fructans concentrate has not good water and oil holding capacities; however, it showed a high solubility at 25°C of 86.52 ± 3.47 g/L which is comparable with commercial chicory inulin (113.68 ± 4.14 g/L).Table 12
Water and oil holding capacities ofAgave fibres concentrate (g/g of fibres concentrate).
IF
SF
Water holding capacity
8.66 ± 0.02
2.28 ± 0.03
Oil holding capacity
5.62 ± 0.03
3.37 ± 0.01


## 3.3.3. Microstructure Visualization

As it can be well seen in Figure5, Agave insoluble fibres have two distinct morphologies. In micrograph of Figure 5(e), hemicelluloses filaments overlap to form an amorphous nodular network and play the role of gathering and supporting elements of principal structure [7]. This latter, of 150 to 200 μm of diameter (micrographs of Figures 5(a) and 5(b)), has a cylindrical shape associating helicoidal microfibrils called tracheids (micrographs of Figures 5(c) and 5(d)). These voluminous structures have a low density and show a lot of vacuum which illustrate and justify the high water and oil holding capacities. Izydorczyk and Dexter [35] revealed similar structures for barley fibres and found a high WHC when they incorporate this product in bread formulation.Scanning electron microscopy images of insoluble fibres concentrate fromAgave americana L.; scale bar for (a) and (e), 100 μm; scale bar for (b), 50 μm; scale bar for (c) and (d), 10 μm.
(a)
(b)
(c)
(d)
(e)Agave fructans morphology was also visualized using scanning electron microscopy and compared to commercial chicory inulin in order to have additional information concerning impact of botanic source and extraction conditions on fructans structures (Figure 6). Micrographs of Figures 6(a), 6(b), and 6(c) show irregular structure of commercial product. Nonuniform particles sized from 50 to 70 μm are squeezed with small spherical particles sized under 10 μm. However, micrographs of Figures 6(d), 6(e), and 6(f) show a heterogenic structure illustrating pronounced morphological and dimensional variability. Indeed, commercial product is finely milled and microfluidized; this fact explains the observed homogeneity of structure. This result is in accordance with the discussion of other works which illustrated that microfluidized inulin particles have a uniform shape and were interspaced by voids when nonmicrofluidized inulin was arranged as a superposition of lamella or on amorphous shape [23–36].Scanning electron microscopy images of commercial inulin (a, b, and c) and soluble fibres concentrate ofAgave Americana L. (d, e, and f); scale bar for (d), 500 μm; scale bar for (a) and (e), 200 μm; scale bar for (b), 100 μm; scale bar for (c) and (f), 20 μm.
(a)
(b)
(c)
(d)
(e)
(f)


## 4. Conclusion

This work has revealed that after screening step, the response surface methodology was a useful tool to determine the optimal experimental conditions of soluble and insoluble fibres extraction fromAgave americanaleaves. The extraction yield of insoluble fibres increased significantly with increasing temperature, Agave powder to water ratio, and agitation speed, while ionic strength has no effect on the studied response. However, fructans extraction yield depended on all investigated factors. Under selected optimal conditions (temperature: 90°C; P/W ratio: 0.1625; agitation speed: 400 rpm; and ionic strength: 1.5 g/L), insoluble and soluble DF extraction yields reached 92.56
±
2.43% and 81.53
±
2.55%, respectively. These concentrates showed a high purity and excellent functional properties. Thus, it is promising to focus on the possibility to incorporate these fibres concentrates in food applications. In a future study, the extraction and the characterisation of protein should be studied in order to add value to this unexploited plant.



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*Source: 627103-2014-01-05.xml*