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Encapsulation of blackberry anthocyanins by thermal gelation of curdlan

Abstracts

Blackberry shows an attractive color due to the presence of anthocyanins; however the use of these pigments as natural colorant is difficult since some external agents, specially pH>3, cause their discoloration. On the other hand, encapsulation techniques have been widely used in the industry to protect active ingredients. The aims of this study were to establish the encapsulation conditions of anthocyanins from blackberry, to evaluate the capsules characteristics, as well as the anthocyanins release. Three polysaccharides (curdlan, pectin and sodium alginate) were evaluated as wall material to obtain capsules by gelation. Curdlan was chosen since it was the only gum capable to form hard gel under low pH value. The capsules showed spherical form and multinucleated appearance, and encapsulation efficiency ranged from 80.3 to 96.7%. The release curves followed first order kinetics, with a strong burst effect, 80 to 100% of the anthocyanins released in solution at pH 1 after 20 min.

anthocyanins; encapsulation; HPLC-PDA-MS/MS; release curve; Rubus spp


As amoras-pretas apresentam coloração atrativa devido à presença de antocianinas, porém a utilização destes pigmentos como corante natural é difícil, pois alguns fatores, especialmente pH>3, provocam sua descoloração. Por outro lado, a microencapsulação tem sido utilizada na indústria para proteger ingredientes ativos. Os objetivos deste estudo foram estabelecer as condições de encapsulação de antocianinas de amora-preta, avaliar as características das cápsulas, bem como a liberação de antocianinas. Três polissacarídeos (curdlana, pectina e alginato de sódio) foram avaliados como material de parede para obter cápsulas por gelificação. A curdlana foi escolhida, pois foi a única goma capaz de formar um gel firme sob baixo pH. As cápsulas apresentaram forma esférica e multinucleada, e a eficiência de encapsulação variou entre 80,3 e 96,7%. As curvas de liberação apresentaram comportamento cinético de primeira ordem, com forte efeito "burst" com 80 a 100% das antocianinas liberadas em solução pH 1 após 20 min.


ARTICLE

Encapsulation of blackberry anthocyanins by thermal gelation of curdlan

Daniela S. Ferreira; Adelia F. Faria; Carlos R. F. Grosso; Adriana Z. Mercadante* * e-mail: azm@fea.unicamp.br

Faculdade de Engenharia de Alimentos, Universidade Estadual de Campinas, CP 6121, 13083-862 Campinas-SP, Brazil

ABSTRACT

Blackberry shows an attractive color due to the presence of anthocyanins; however the use of these pigments as natural colorant is difficult since some external agents, specially pH>3, cause their discoloration. On the other hand, encapsulation techniques have been widely used in the industry to protect active ingredients. The aims of this study were to establish the encapsulation conditions of anthocyanins from blackberry, to evaluate the capsules characteristics, as well as the anthocyanins release. Three polysaccharides (curdlan, pectin and sodium alginate) were evaluated as wall material to obtain capsules by gelation. Curdlan was chosen since it was the only gum capable to form hard gel under low pH value. The capsules showed spherical form and multinucleated appearance, and encapsulation efficiency ranged from 80.3 to 96.7%. The release curves followed first order kinetics, with a strong burst effect, 80 to 100% of the anthocyanins released in solution at pH 1 after 20 min.

Keywords: anthocyanins, encapsulation, HPLC-PDA-MS/MS, release curve, Rubus spp

RESUMO

As amoras-pretas apresentam coloração atrativa devido à presença de antocianinas, porém a utilização destes pigmentos como corante natural é difícil, pois alguns fatores, especialmente pH>3, provocam sua descoloração. Por outro lado, a microencapsulação tem sido utilizada na indústria para proteger ingredientes ativos. Os objetivos deste estudo foram estabelecer as condições de encapsulação de antocianinas de amora-preta, avaliar as características das cápsulas, bem como a liberação de antocianinas. Três polissacarídeos (curdlana, pectina e alginato de sódio) foram avaliados como material de parede para obter cápsulas por gelificação. A curdlana foi escolhida, pois foi a única goma capaz de formar um gel firme sob baixo pH. As cápsulas apresentaram forma esférica e multinucleada, e a eficiência de encapsulação variou entre 80,3 e 96,7%. As curvas de liberação apresentaram comportamento cinético de primeira ordem, com forte efeito "burst" com 80 a 100% das antocianinas liberadas em solução pH 1 após 20 min.

Introduction

The blackberry belongs to the ROSACEAE family, Rubus genus, and these fruits show attractive color characteristics and beneficial properties, such as antioxidant activity due to the high content of anthocyanins.1 In Brazil, the first plants were introduced in 1972 by the Empresa Brasileira de Pesquisa Agropecuária (Embrapa) in Rio Grande do Sul State, located in the South region. From foreign cultivars, mainly Brazos, Comanche and Cherokee, from the University of Arkansas State (United States), Embrapa developed cultivars adapted to the Brazilian geographical conditions and consumers demand, such as cultivar Ébano introduced in 1981, and afterwards cultivars Negrita (1983), Tupy and Guarani (1988), and Caingangue (1992) were developed. Currently in Brazil, the most commercialized cultivar is the Tupy, followed by cultivars Guarani and Brazos, all being hybrid species.2

Independently of the cultivar or country, the major anthocyanins found in the blackberry (Rubus spp.) were cyanidin 3-glucoside (77.0-92.8%), cyanidin 3-rutinoside (0.6-4.6%), cyanidin 3-xyloside (0.3-7.7%), cyanidin 3-malonyl-glucoside (1.5-3.9%), and cyanidin 3-dioxalyl-glucoside (1.5-14.9%).3,4 In addition, Wu and Prior5 also identified these five anthocyanins in blackberry from unidentified cultivars from the United States, along with other three different anthocyanins, cyanidin 3-arabinoside, pelargonidin 3-glucoside, and peonidin 3-glucoside. The structures of these anthocyanins are illustrated in Figure 1. On the other hand, the anthocyanin contents of blackberry fruits, expressed as cyanidin 3-glucoside, showed a large variation, from 67.4 to 248.0 mg per 100 g, in 19 cultivars from several countries in North and South America and Europe.3,6


Anthocyanins would be the ideal substitutes for artificial red colorants because of their bright colors varying from red to blue, water solubility and non-toxicity. Nevertheless, the use of these pigments in foods has been hampered by their poor stability that is affected by physical and chemical factors as temperature, pH, light, solvent and the structure of the pigment itself.7 In fact, the cation flavylium, the colored anthocyanin form, is only predominant at pH values lower than 3.8

Microencapsulation can be an interesting alternative for the replacement of the artificial colorants by anthocyanins in the food and pharmaceutical industry, acting as a protector coat against ambient adverse conditions, such as light, humidity, oxygen, to avoid interactions with other compounds and to make easier to handle the bioactive compound. These small capsules are indiscriminately called particles, capsules or spheres, and according to their size, the prefix nano (< 50 nm) or micro (50 nm-2 mm) is incorporated.9

Alginate and pectin are the most used polysaccharides that form gel in the presence of ions. Alginates are high molecular weight polymers with a degree of polymerization (DP) in the range of 17600-528000, molecular weight (MW) of 20000-600000, where the building blocks of alginic acid are β -D-manuronic acid and its C-5 epimer, α -L-guluronic acid, linked by (1→ 4)-glycosidic bonds to form linear molecules. Pectic substances are formed by D-galacturonic acid with different esterification degree, linked by (1→ 4)-glycosidic bonds with MW of approximately 11000-150000.10 Another interesting gelifying material is curdlan, an extracellular bacterial high molecular weight polysaccharide produced by Alcaligenes faecalis var. myxogenes, and exclusively composed by (1→ 3)-β -D-glucans.11 One of the unique features of curdlan is that aqueous suspensions can be thermally induced to produce high-set gels, which do not return to the liquid state upon heating.12

Encapsulation of anthocyanins by thermal gelation was investigated in a study using glucan.13 In addition, the stability of natural anthocyanins toward alkaline environment and visible light irradiation was enhanced by intercalation into montmorillonite, a clay mineral.14 Considering the blackberry extract potentialities and the red attractive coloration of the anthocyanin at low pH, the objectives of this study were to choose among three polysaccharides the best wall material for gelation at low pH value, evaluate some parameters used for thermal gelation of curdlan, verify the effect of the thermal gelation process on the anthocyanin composition, as well as to characterize the anthocyanin capsules, and determine the anthocyanin release profile.

Experimental

Materials

The following polysaccharides were used: sodium alginate from Manugel DMB (San Diego, USA) batch 500771 and ref. 669990 with high molecular weight and high guluronate group content; citric pectin with low methoxylation degree (26-30%), type 8002/R with amidation degree of 15-21%, batch 11655 and ref. 11.9900 (Citrus Colloids S/A, donated by Ind. Braspectin S.A., Limeira, Brazil); and curdlan gum (ref. 54724-00-4) with moisture content no more than 10% (60 °C, vacuum, 5 h) donated by Takeda Chemical Industries Ltd. (Osaka, Japan).

Frozen blackberry fruits (Rubus spp.), 8 kg, Tupy cultivar, were acquired from DeMarchi (Jundiaí, Brazil). The content of monomeric anthocyanins, expressed as cyanidin 3-glucoside, was about 104 mg per 100 g in these fruits.

Standards of cyanidin 3-glucoside, cyanidin 3-galactoside, cyanidin 3-rutinoside, cyanidin 3,5-diglucoside, cyanidin 3-rhamnoside, pelargonidin 3-glucoside, peonidin 3-glucoside, cyanidin and pelargonidin were obtained from Extrasynthèse (Genay, France).

Evaluation of gelling power of different polysaccharides

In order to find a wall material that is able to form a hard gel at pH < 2.5, which is the condition where anthocyanins keep their colored form, three polysaccharides at three different concentrations were tested for their gelling power. Alginate, pectin and curdlan were added at 2, 5 and 6% (m/v) concentrations in aqueous solutions of citric acid at pH values of 1.5, 2.0 and 2.5. The aqueous solutions of polysaccharides were heated until their complete dissolution (T < 40 °C). For alginate and pectin gelling, a 2% calcium chloride solution was added to the polysaccharide solution, getting a final salt concentration of 1%. For curdlan gelling, the polysaccharide solution was heated at ca. 80 °C. Visual observation was carried out based on the polysaccharide capacity to change from the sol to gel state.

Preparation of the anthocyanin extract

The anthocyanin extract was obtained from 400 g of homogenized frozen blackberries. The extraction was carried out with methanolic solution containing 1% HCl in a homogenizer (Metabo, Nurtingen, Germany) at room temperature.15 This suspension was filtered and washed, using the extractor solution. The extract was concentrated in a rotary evaporator (T < 38 °C) for methanol evaporation and this concentrated crude aqueous anthocyanin extract was kept under nitrogen (99% purity) at -36 °C until capsule preparation.

Production of curdlan capsules containing blackberry anthocyanin extract

The following variables were evaluated for the encapsulation process of anthocyanins: three different concentrations of curdlan aqueous solutions, curdlan-anthocyanin solution at temperatures of 35, 40 and 45 °C, oil bath temperature of 70, 80 and 90 °C, oil level at 5 and 6 cm; and height between oil surface and atomizer of 4, 5 and 11 cm. After these initial tests, 5 mL of the concentrated crude anthocyanin extract, containing 2.08 mg of anthocyanins mL-1, were added to 30 mL of the curdlan solutions, resulting in polysaccharide final concentrations of 4.3, 5.1 and 5.6% (m/v). The curdlan-anthocyanin solution was sprayed into the soybean oil bath, which was under constant temperature and slow agitation, using a double fluid atomizer at 40 °C, diameter of 1 mm and air pressure of 4.90 kPa. The capsules were recovered by filtration under vacuum, washed once with chloroform and residual solvent were removed under a slow nitrogen flow.

Immediately after capsules preparation, moisture, anthocyanin content, capsules morphology and core release were evaluated. All analyses were carried out in triplicate. In addition, the effect of encapsulation by gelation on the anthocyanin profile was evaluated by high performance liquid chromatography connected to diode array and mass spectrometer detectors (HPLC-PDA-MS/MS).

Analysis of anthocyanins by HPLC-PDA-MS/MS

In order to remove sugars, the concentrated crude extract (15 g) was submitted to open column chromatography on XAD-7 before the HPLC-PDA-MS/MS analysis.16,17 The partially purified extract was diluted in 5% formic acid/methanol (85:15) immediately before analysis by HPLC-PDA-MS/MS. The extract was analyzed on a Shimadzu (Kyoto, Japan) HPLC, equipped with quaternary pumps (model LC-20AD), on line degasser and a Rheodyne injection valve with 20 mL loop, connected in series to a PDA detector (Shimadzu, model SPD-M20A) and a mass spectrometer with an ion-trap analyzer from Bruker Daltonics (model Esquire 4000, Bremen, Germany). The anthocyanins were separated as previously described,16 on a C18 Shim-pack CLC-ODS column (Shimadzu, Canby, OR, USA), using as mobile phase a linear gradient of 5% formic acid/methanol (v/v) from 85:15 to 20:80 in 25 min, the latter proportion being maintained for further 15 min, at a flow rate of 0.9 mL min-1 and column temperature set at 26 ºC. The UV-Visible spectra were obtained between 250 and 600 nm and the chromatograms were processed at 280 and 520 nm. After passing through the flow cell of the PDA, the column eluate was split allowing only 0.15 mL min-1 into the electrospray ionization (ESI) interface. The MS/MS parameters were set as previously reported.16 The anthocyanins were identified based on the combined information provided by elution order in the reversed phase column, co-chromatography with standards, UV-Visible and mass spectra characteristics compared to the literature data.5,16,18

Characterization of curdlan capsules

For moisture determination, 3 g of capsules were weighed in three Petri plates and these plates were kept into an oven at 60 °C at atmospheric pressure until constant weight.

The extraction of surface anthocyanins from the capsules was carried out by quickly washing with 1% HCl methanol solution under vacuum, whereas the total anthocyanins were obtained by capsule maceration with the same solvent, using pestle and mortar. Quantification was carried out by the differential pH method,19 using an Agilent 8453 spectrophotometer (Santa Clara, USA), and the results were expressed as cyanidin 3-glucoside.

Encapsulation efficiency (%EE) was calculated according to equation 1,20 using the results from total (TAC) and surface anthocyanin (SAC) contents.

An optical stereo-microscope (Citoval 2 model, Carl Zeiss, Jena, Germany) was used to observe the general morphology of the capsules, using objectives from 1.5 × to 3.5 × . The images were registered and saved by the Global Lab Image software from Data Translation (Marlborough, USA). Using the microscope images, the size distribution and mean size were calculated by measuring 100 to 300 capsules.

Release curves determination

Glass tubes were prepared with 1 g of capsules and 10 mL of 0.025 mol L-1 potassium chloride buffer solution at pH 1.0, and submitted to constant shaking at 22 rpm in a rotary tube shaker (blood homogenizer model AP22, Phoenix, Araraquara, Brazil) in the dark. The total anthocyanin content was obtained by capsules maceration using buffer solution pH 1. The anthocyanin release was monitored by measuring the solution absorbance at 510 nm, each 10 min during 3 h. Three different individual tubes were mixed at each time.

The anthocyanin contents in mmol L-1 were calculated according to the Beer's Law, using the major anthocyanin (cyanidin 3-glucoside) absortivity of 26900 L mol-1 cm-1 in buffer solution at pH 1.0.21 The release curve was calculated as percentage of the released anthocyanin contents related to the total anthocyanin one.

Kinetic analysis

The data were fitted by using Microcal Origin™ 7.0 (OriginLab Corporation, Northampton, USA).

Results and Discussion

Choice of the wall material and conditions for thermal gelation of curdlan

For all concentrations, at pH values of 1.5 and 2.0, both pectin and alginate precipitated due to the protonation of their carboxylic acid groups,22 whilst at pH 2.5 these polysaccharides formed a weak gel.

On the other hand, curdlan, at all concentrations (2 to 6%) and at all pH values (1.5 to 2.5), dissolved in water at the expected temperature of ca. 40 °C, as well as formed gel at ca. 80 °C, as previously reported.23 However, with 2% of curdlan, the gel formed was weak and, thus, not suitable for capsules preparation.

After visual observation of the polysaccharides gelling power, curdlan was chosen as the wall material, because among the tested polymers, curdlan was the only one that did not loose gelling capacity at pH lower than 2, being able to form a hard gel.

The variation on the thermal gelation process conditions was carried out in order to obtain curdlan-anthocyanin capsules with good physical characteristics, such as size distribution and morphology, as well as, to minimize losses of either core or wall material, during the process.

When higher temperatures for both the curdlan-anthocyanin solution (45 °C) and oil bath (90 °C) were used in the encapsulation process, the solution viscosity was too high for the atomizer and anthocyanin degradation could occur, while when lower oil bath temperature (70 °C) was applied, curdlan did not form the stable and thermo-irreversible gel, the so called high-set gel with triple helical conformation.12,24 In addition, curdlan was not completely dissolved when curdlan-anthocyanin solution was kept at 35 °C.

Both the level of oil bath and the height from atomizer to oil surface were established in order to minimize the losses of formed capsules. It is important to note that these parameters values have strong influence on the capsule size features. When 6 cm of oil bath was used, bath shaking was not strong enough, resulting in agglomerates or deformed large capsules, while at the chosen level (5 cm), the shaking was more uniform, allowing the dispersion of the capsules in the oil bath, and thus formation of round capsules. Heights from atomizer to oil surface higher than 4 cm resulted in loss of curdlan-anthocyanin solution, which deposited itself on the recipient walls, and few capsules were formed. Since the hydration pK between the flavylium cation and hemiketal forms of cyanidin 3-glucoside was 3.0,4 the chosen pH of 1.5 assured that the colored flavylium cation was the predominant form in the blackberry anthocyanin extract.

Considering these facts, some suitable conditions for curdlan-anthocyanin capsules preparation, using different curdlan concentrations, were established as follows: temperature of curdlan-anthocyanin solution at 40 °C, pH of curdlan-anthocyanin solution at 1.5, temperature of oil bath at 80 °C, level of oil bath was 5 cm, and height from atomizer to oil surface was 4 cm.

Effect of the gelation process on the anthocyanin composition

According to the chromatograms shown in Figure 2 and data from Table 1, the encapsulation process did not change the anthocyanin composition from the blackberry extracts.


   

   

Peaks 1 to 4 showed similar UV-Visible (UV-Vis) and mass spectra (MS) features to anthocyanins previously described in the literature.5,16,18 Cyanidin 3-glucoside (peak 1) showed the molecular ion ([M]+) at m/z 449 and the MS/MS fragment at m/z 287, corresponding to the cyanidin moiety, resulted from the loss of a hexose. Cyanidin 3-rutinoside (peak 2) showed the [M]+ at m/z 595 and two mass fragments with 287 and 449 u, the first one corresponded to the cyanidin moiety due to the loss of rutinose (308 u) and the fragment at m/z 449 resulted from the loss of a deoxyhexose [M-146]+. Different from other disaccharides, where the ionization did not cleave the glycosyl bond between the sugar unities, the (1→ 6)-glycosyl bond between the rhamnose and the glucose moieties allowed free rotation and more accessibility to the gas used to produce fragmentation.25 This fragmentation pattern was already reported by De Rosso and Mercadante16 and Wu and Prior.5 The identification of both cyanidin 3-glucoside and cyanidin 3-rutinoside was confirmed by co-elution with standards.The acylated anthocyanins (peaks 3 and 4) were tentatively identified as 3-malonyl-glucoside and 3-dioxalyl-glucoside of cyanidin, respectively, by the UV-Vis spectra, molecular ion and MS/MS fragments (Table 1). In addition, these anthocyanins were already found in blackberry extracts.3,5,26

Characteristics of curdlan-anthocyanin capsules

Regardless the different curdlan concentrations (4.3, 5.1 and 5.6%), all capsules showed spherical form and multinucleated appearance (Figure 3). This multinuclear aspect is most probably due to hydrophobic interactions between the curdlan and soybean oil during the gum gelation under high temperature, creating hydrophobic patches with trapped oil molecules.23,27


The use of different microscope objectives to register the capsule images (Figure 3) allowed the visualization of the rough wall, possible agglomerates and determination of capsule size distribution.

The variation of gum concentrations, within the range applied in this study had little effect on the size characteristics of curdlan-anthocyanin capsules. As shown in Figure 4, for all polymer concentrations, most capsules (between 83% and 88%) showed diameter ranging from 0.3 to 0.8 mm. In fact, the capsules mean size values (Table 2) were similar for all curdlan concentrations, since all the other process conditions were kept constant.


On the other hand, the moisture of the capsules and encapsulation efficiency increased as curdlan concentration increased (Table 2). This result was in agreement with the fact that the highest water retention capacity of curdlan gel occur at gelation temperatures higher than 50-60 °C, i.e. to form the high-set gel, and the trapped water is proportional to the amount of polysaccharide concentration.24

The encapsulation efficiency (Table 2) increased as curdlan gum concentration increased since with higher polysaccharide contents, the conversion from thermo-reversible to thermo-irreversible gel is faster, due to strong hydrophobic interactions.24 This faster conversion probably increases the anthocyanin quantity retained into the capsules.

Release of anthocyanins from the capsules

As observed in the release profiles (Figure 5), the anthocyanins showed a strong burst effect in the first 10 min, independently of the curdlan concentration in the capsules. In fact, the anthocyanins were completely released in pH 1.0 buffer solution after 20 min, except for the capsules with lower curdlan concentration, which showed 80-85% of released anthocyanins after 20 min. This fact was not expected since the increase in curdlan concentration is expected to promote an increase on gel strength.24,27


The release curves were adjusted to first order exponential kinetic using the initial points of the experiment (from 0 to 60 min; Figure 5), according to equation 2, where y = percent of release, y∞ = percent of release at infinite time, A = y0 - y∞ , y0 = percent of release at initial time, x = time, and t = half-life time.

The first order behavior of these release curves were confirmed by the linear graphics for plot of ln(y∞ - y) vs. time, shown in the inset of Figure 5, with R2 values higher than 0.964 (Table 3).

The k values (k = ln2/t for first order kinetics) represent the observed rate constant of anthocyanin diffusion from capsules to bulk solution and surprisingly the diffusion rate for capsules with 4.3% of curdlan was slight lower than the diffusion rates for the capsules produced with higher curdlan amounts (Table 3). This fact could be related to the lowest moisture of the capsules with 4.3% of curdlan, indicating that anthocyanin diffusion was controlled by internal diffusion through the gel. That is, a lower quantity of water entrapped into the gel with the lowest curdlan content may turn more difficult the internal diffusion of the hydrosoluble core material since anthocyanins are highly soluble into the acidic aqueous medium.

Moreover, the fast release of anthocyanins from the capsules denoted that the crosslink three-dimensional net formed by triple-stranded or multiple helix chains in curdlan gelation27 was not entangled enough to obtain anthocyanin controlled release. However, the release of theophylline, a small hydrophilic molecule as anthocyanins, from curdlan jelly was proportional to the square-root of time.27 It is important to note that the methods used by these authors for the preparation of curdlan jelly and release assay were different from the methods used in the present study. Moreover, there is an important structural difference among anthocyanin and theophylline, the first one is a charged molecule, whilst theophylline is non-charged. In addition, since in curdlan high-set gel, the three strands of the triplex are linked together through triads of hydrogen bonds between hydroxyls at C-2, and the helices are linked together through hydrogen bonds involving hydroxyls located at C-4 and C-6, all hydroxyl oxygens participate in at least one hydrogen bond,28 thus the anthocyanins are probably not able to chemically link to the polysaccharide chains by hydrogen bonds.

Conclusions

In summary, capsules of anthocyanins in their colorful form were successfully obtained by thermal gelation of curdlan; however, the fast release of anthocyanins from the capsules was probably due to the absence of both chemical interaction between the pigment and the polysaccharide gel, and physical entrapment by the gel structure. Other studies are necessary in order to get controlled release of thermal encapsulated anthocyanins.

Acknowledgments

The authors thank the Brazilian Funding Agencies FAPESP (Fundação de Amparo à Pesquisa do Estado de São Paulo) and CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) for their financial support.

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Received: May 29, 2009

Web Release Date: November 19, 2009

FAPESP helped in meeting the publication costs of this article.

  • 1. Antunes, L. E. C.; Ciência Rural 2002, 32, 151;
  • Dai, J.; Patel, J. D.; Mumper, R. J.; J. Med. Food 2007, 10, 258;
  • Seeram, N. P.; Adams, L. S.; Zhang, Y.; Lee, R.; Sand, D.; Scheuller, H. S.; Heber, D.; J. Agric. Food Chem. 2006, 54, 9329;
  • Wang, S. Y.; Lin, H. S.; J. Agric. Food Chem. 2000, 48, 140.
  • 2. www.cpact.embrapa.br, accessed in November 2006.
    » link
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  • *
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  • Publication Dates

    • Publication in this collection
      14 Oct 2011
    • Date of issue
      2009

    History

    • Accepted
      19 Nov 2009
    • Received
      29 May 2009
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