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<strong>Supercritical</strong> <strong>Carbon</strong> <strong>Dioxide</strong>-<strong>Induced</strong> <strong>Hydrolysis</strong> <strong>of</strong> Hesperidin<br />

in Subcritical Water<br />

ABSTRACT<br />

Armando T. Quitain 1 , Duangkamol Ruen-ngam 2 , Wahyudiono 1 , Masahiro Tanaka 3 ,<br />

Mitsuru Sasaki 1 and Motonobu Goto 2*<br />

1 Graduate School <strong>of</strong> Science and Technology,<br />

2 Bioelectrics Research Center, Kumamoto University<br />

3 ASCII Corporation<br />

* Corresponding Author: mgoto@kumamoto-u.ac.jp, Fax: +81-96-342-3665<br />

Hesperidin (hesperetin-7-O-rutinoside), a flavanone glycoside is found abundantly in immature citrus fruits.<br />

Clinical studies on hesperidin had shown antiatherosclerotic, anti-inflammatory, antitumor, antithrombogenic,<br />

antiosteoporotic and antiviral effects. This tasteless compound can be converted into more useful chemical<br />

compounds such as hesperetin, its aglycone and hesperetin-7--D-glucoside by hydrolysis. These products are<br />

thought to be more valuable than hesperidin because these can be easily converted into an intensely sweet<br />

compound by simple alkaline hydrogenation and can be used as starting materials for the preparation <strong>of</strong> dyes and<br />

sweeteners that has value-added medicinal functions such as analgesic, anti-inflammatory, antioxidant and<br />

anti-atherogenic properties. Conventional method <strong>of</strong> hesperidin hydrolysis to produce these valuable compounds<br />

uses sulfuric acid as catalyst under elevated temperatures. To avoid the use <strong>of</strong> this harmful catalyst, supercritical<br />

carbon dioxide-induced hydrolysis in subcritical water is proposed.<br />

The synergistic effects <strong>of</strong> these two most promising green solvents gave better yields <strong>of</strong> the two target<br />

degradation products without employing any harmful acid catalysts at a pressure range <strong>of</strong> 10-25 MPa and<br />

temperature <strong>of</strong> 110-140C. The effect <strong>of</strong> operating conditions such as pressure, temperature, reaction time and<br />

addition <strong>of</strong> cosolvent such as ethanol were found to affect the hydrolysis rate. Owing to an increase in formation<br />

<strong>of</strong> carbonic acid, which serves as a catalyst for the reaction, hydrolysis rate increased at elevated pressure.<br />

Moreover, the reaction was also found to be positively dependent on temperature, obtaining high yield <strong>of</strong> the<br />

main products, hesperetin--glucoside and hesperetin. Addition <strong>of</strong> ethanol as a cosolvent might increase<br />

solubility <strong>of</strong> hesperidin, however, it only inhibited the reaction and formation <strong>of</strong> carbonic acid. At the maximum<br />

temperature <strong>of</strong> 140 o C and pressure <strong>of</strong> 25 MPa investigated in this work, the highest concentration <strong>of</strong><br />

hesperetin--glucoside <strong>of</strong> 4.2 mol/l was obtained in reaction time <strong>of</strong> 2 h, whereas for hesperetin the highest was<br />

6.9 mol/l obtained in 3 h. Among the hydrolysis methods investigated, the proposed method was the most<br />

selective towards formation <strong>of</strong> the target compounds.<br />

INTRODUCTION<br />

Bi<strong>of</strong>lavonoids are present in substantial amount in citrus, especially the immature ones, and even in their<br />

processing by-products [1-5]. These useful compounds possess bioactivities including preventive or therapeutic<br />

effects on the treatment <strong>of</strong> numerous diseases such as cardiovascular-related illness and cancer [6-7]. Clinical<br />

studies had also shown antiatherosclerotic, anti-inflammatory, antitumor, antithrombogenic, antiosteoporotic and<br />

antiviral effects. The mechanisms <strong>of</strong> action and potential applications <strong>of</strong> these flavonoids had been reviewed by<br />

Nijveldt el al. [4].<br />

Hesperidin (hesperetin-7-O-rutinoside, hereby referred to as HPD), having a chemical structure shown in Fig.<br />

1 (a), is one <strong>of</strong> many bi<strong>of</strong>lavonoids that can be found mostly in immature citrus fruits, its composition can reach<br />

more than 40% on a dry-weight basis. This tasteless compound can be a good source <strong>of</strong> more useful chemical<br />

compounds such as hesperetin, its aglycone and hesperetin-7--D-glucoside. Hesperetin-7--D-glucoside<br />

(hereby referred to as HBG) as shown in Fig. 1 (b), an intermediate hydrolysis product. This is known to be more<br />

valuable than HPT because it can be easily converted into an intensely sweet compound by simple alkaline<br />

hydrogenation. Clinical test conducted on this compound showed that it could increase circulation limitation<br />

time in digestion process and could also decrease toxicity [4]. Another useful compound that can be obtained<br />

from the hydrolysis <strong>of</strong> hesperidin is hesperetin (hereby referred to as HPT) as shown in Fig. 1 (c) can be used as<br />

a starting material for the preparation <strong>of</strong> dyes and sweeteners that has value-added medicinal functions such as


analgesic, anti-inflammatory and antioxidant properties [8-11].<br />

(a) Hesperidin (b) Hesperetin--glucoside (c) Hesperetin<br />

Figure 1. Chemical structure <strong>of</strong> (a) hesperidin (HPD) (b) hesperetin--glucoside (HBG)<br />

and (c) hesperetin (HPT)<br />

<strong>Hydrolysis</strong> <strong>of</strong> HPD was first carried out way back in 1881 by Tiemann et al. as reported in the patent<br />

application <strong>of</strong> Wingard [12]. The method employed aqueous sulfuric acid at elevated temperatures in the<br />

presence <strong>of</strong> an alcohol cosolvent. To date, no significant modification to the method has been applied, and most<br />

<strong>of</strong> the reported techniques by modern researchers utilize sulfuric acid as catalyst. Grohmann et al. [3] utilized<br />

dilute sulfuric acid at a concentration <strong>of</strong> about 0.05% to hydrolyze hesperidin under elevated temperature<br />

obtaining highest yield <strong>of</strong> glucose and rhamnose as products from hydrolysis reaction at 140C. Acid-catalyzed<br />

hydrolysis under subcritical water conditions at the temperature range <strong>of</strong> 150 to 320 o C has also been applied to<br />

the decomposition <strong>of</strong> some biochemical compounds including monosaccharides, disaccharides and cellulosic<br />

biomass [13-18]. However, with the health risk posed by the use <strong>of</strong> such acid especially if the products are<br />

intended for human consumption, alternative safe methods are currently being explored.<br />

Utilizing supercritical carbon dioxide (ScCO2) to induce hydrolysis <strong>of</strong> hesperidin under hydrothermal<br />

conditions without employing any harmful catalyst could be a better alternative. This method employs the idea<br />

that the formation and dissociation <strong>of</strong> carbonic acid from the reaction <strong>of</strong> H2O and CO2 especially at elevated<br />

temperatures and pressures serves as a catalyst for the reaction, thereby, enhancing hydrolysis rate [19-22]. The<br />

catalytic effect <strong>of</strong> carbonic acid on hydrolysis was first investigated by Van Walsum et al. [23] on hot water<br />

treatment <strong>of</strong> corn stover up to a pressure <strong>of</strong> 5.5 MPa and temperature range <strong>of</strong> 180-220C. Addition <strong>of</strong> carbonic<br />

acid enhanced the occurrence <strong>of</strong> xylose and furan in hydrolysate. Instead <strong>of</strong> carbonic acid, Rogalinski et al. [22]<br />

used supercritical carbon dioxide for the hydrolysis <strong>of</strong> biopolymers in subcritical water at temperatures <strong>of</strong><br />

240-280C, taking the liquefaction <strong>of</strong> cellulose as an example. The obtained experimental results up to a<br />

temperature <strong>of</strong> 260 o C showed an enhancement in liquefaction rates <strong>of</strong> cellulose in hydrothermal-ScCO2 mixed<br />

solvents at elevated pressure compared with only water. This result implied that the cleavage <strong>of</strong> glucosidic bond<br />

<strong>of</strong> disaccharides could occur under acidic condition at elevated temperature pressurized by carbon dioxide. Only<br />

limited information about the application <strong>of</strong> the technique to hydrolysis <strong>of</strong> natural compounds is available in<br />

literatures, and nothing has been reported so far on the hydrolysis <strong>of</strong> citrus bi<strong>of</strong>lavonoids.<br />

In this work, the proposed technique was applied to the hydrolysis <strong>of</strong> HPD into above mentioned more useful<br />

compounds (i. e. HBG and HPT). The effects <strong>of</strong> various parameters such as reaction time, temperature, pressure<br />

and addition <strong>of</strong> cosolvent such as ethanol were investigated.<br />

MATERIALS AND METHODS<br />

Chemicals and reagents<br />

Most chemicals and reagents used in the experiments, including standard samples <strong>of</strong> hesperidin (92%) and<br />

hesperetin (97%) for quantitative analysis <strong>of</strong> the reaction products, and solvents such as acetic acid (99.9%) and<br />

acetonitrile were purchased from Wako Pure Chemical Industries Ltd. (Kyoto, Japan). <strong>Carbon</strong> dioxide (99.9%)<br />

and nitrogen (99.99%) gases were purchased from Uchimura-Sanso Co. Ltd. (Kumamoto, Japan).<br />

Experimental apparatus and methodology<br />

The schematic diagram <strong>of</strong> the experimental apparatus is shown in Fig. 2. It consists <strong>of</strong> a high-pressure pump<br />

that delivers liquefied carbon dioxide into a 30-ml high pressure vessel that serves as a reactor. Six heating<br />

probes were attached to the reactor. A thermocouple was also attached at the center <strong>of</strong> the reactor and connected<br />

to a temperature controller to monitor and control the reaction temperature. <strong>Carbon</strong> dioxide was preheated prior<br />

to its introduction into the reactor. The pressure <strong>of</strong> the system was controlled by a back-pressure regulator


(hereby referred to as BPR).<br />

CO2 cylinder<br />

cooler<br />

CO2 pump<br />

Figure 2. Schematic diagram <strong>of</strong> the experimental apparatus.<br />

In a typical experiment, about 1 mg <strong>of</strong> hesperidin was dissolved in 20 ml distilled water (50 mg/l), then<br />

loaded into a high-pressure 30-ml batch reactor with a Teflon-coated stirrer chip placed inside. The reactor was<br />

closed and placed on top <strong>of</strong> a magnetic stirrer as shown in the schematic diagram in Fig. 2. While heating to the<br />

set reaction temperature in the range <strong>of</strong> 100-140C, liquefied CO2 was pumped into the reactor until the desired<br />

pressure <strong>of</strong> 10-25 MPa was reached. The temperature was controlled automatically by temperature controller,<br />

while the pressure was adjusted using BPR when necessary. The content <strong>of</strong> the reactor was kept at the desired<br />

reaction temperature and pressure for up to 4 h <strong>of</strong> reaction time at constant stirring. After the reaction time has<br />

elapsed, the reactor was gradually cooled down to room temperature (25C). The samples were taken from the<br />

reactor for analysis thereafter. If subsequent analysis could not be carried out right after each experimental run,<br />

samples were stored in a refrigerator at a temperature <strong>of</strong> about 5C. Three trials were performed at each<br />

experimental condition to check repeatability <strong>of</strong> the results.<br />

Analysis <strong>of</strong> products<br />

Quantitative amount <strong>of</strong> hesperidin (HPD), hesperetin-β-glucoside (HBG) and hesperetin (HPT) in the<br />

samples were analyzed using a high performance liquid chromatography (HPLC) apparatus coupled with a diode<br />

array detector (DAD) (Shimadzu Corporation, Japan). Samples were pretreated using a 0.45 m filter, then<br />

placed in vial and arranged in a sample rack for automatic injection <strong>of</strong> about 10 µl. Separation was carried out<br />

using an Inertsil®ODS-3 column (250 × 4.6 mm i.d., 4 m particle size) (GL Sciences Inc., Japan) at a<br />

temperature <strong>of</strong> 35C. Gradient elution was performed using a mobile phase solvent A consisting <strong>of</strong> 0.1% acetic<br />

acid in water, and nevlost B consisting <strong>of</strong> 0.1% acetic acid in 75% acetonitrile at a flow rate <strong>of</strong> 1.0 ml/min.<br />

During the course <strong>of</strong> analysis, the ratios <strong>of</strong> solvent A and B were adjusted as follows: 0 min (78:22), 10 min<br />

(72:28), 17 min (62:38) 30 min (52:48), 36 min (32:68), 40 min (0:100) 45 min (0:100), 60 min (78:22).<br />

Compounds were detected at a wavelength <strong>of</strong> 285nm. The amount <strong>of</strong> hesperidin and hesperetin in the samples<br />

were quantified using a standard curve prepared by dissolving standard compounds in methanol. The retention<br />

time for hesperetin-β-glucoside was determined using the compound synthesized by the methods <strong>of</strong> Grohmann et<br />

al. [3]. This was further verified by comparing the UV spectra <strong>of</strong> the peak with those reported in literatures [3,<br />

24]. The calibration curve for HBG was estimated to be similar to that <strong>of</strong> HPD.<br />

RESULTS AND DISCUSSION<br />

heater<br />

heater<br />

Solubility and stability <strong>of</strong> hesperidin in H2O at elevated temperatures<br />

Preliminary tests on solubility <strong>of</strong> HPD in water at elevated temperatures in the range <strong>of</strong> 110-140C were<br />

carried out to determine suitable concentration for the experiments. About 1 to 200 mg <strong>of</strong> hesperidin standard<br />

was dissolved in 20 ml <strong>of</strong> water, and then heated to reach the above mentioned temperatures. After heating, the<br />

solution was allowed to cool down gradually to room temperature, and then kept overnight in the refrigerator at a<br />

temperature <strong>of</strong> 5C prior to analysis. Based on the results, a concentration <strong>of</strong> 50 mg/l was chosen to be the<br />

concentration <strong>of</strong> hesperidin in the succeeding hydrolysis experiments. This concentration, at which no<br />

precipitates formed even after cooling at 5C, is close to 53 mg/l used by Grohmann et al. [3] in the study <strong>of</strong><br />

hesperidin conversion into hesperetin--glucoside. Moreover, stability tests on 1 mg <strong>of</strong> hesperidin in 20 ml <strong>of</strong><br />

water showed no decomposition <strong>of</strong> hesperidin took place when the mixture was kept at the above mentioned<br />

P<br />

T<br />

Magnetic stirrer<br />

BPR


temperatures for 4 h. This implies that hesperidin is stable at this temperature range, and reaction would not<br />

proceed without adding suitable catalyst.<br />

Preliminary tests on catalytic role <strong>of</strong> carbon dioxide at elevated pressure<br />

As previously mentioned in the introduction, the proposed method employs the concept that the formation<br />

and dissociation <strong>of</strong> carbonic acid from the reaction <strong>of</strong> H2O and CO2 according to eq. 1 especially under elevated<br />

temperature and pressure serves as a catalyst for the reaction [22, 25].<br />

- (1)<br />

<strong>Carbon</strong>ic acid, even though considered as a weak acid, may promote hydrolysis <strong>of</strong> HPD consisting <strong>of</strong> glycosidic<br />

bonds that seems to be weaker than those <strong>of</strong> cellulose. Brito-Arias [26] had confirmed that phenolic glycosides<br />

can be decomposed even in dilute acid solution, close to the acidic conditions being employed in this work. It<br />

was also reported that glucosidic bond could be cleaved under carbonic acid catalyzed subcritical water [15, 22].<br />

Similarly, cleavage <strong>of</strong> rhamnosidic and glucosidic bonds <strong>of</strong> HPD might also take place obtaining main products<br />

such as HBG and HPT, respectively.<br />

In this regard, the catalytic effect <strong>of</strong> adding carbon dioxide at elevated pressures on reaction under<br />

hydrothermal condition was first verified by carrying out experiments at a pressure and temperature <strong>of</strong> 10 MPa<br />

and 140C, respectively. The results were compared with those obtained using N2, an inert gas, instead <strong>of</strong> carbon<br />

dioxide and in water without carbon dioxide. The catalytic effect <strong>of</strong> adding carbon dioxide is evident from the<br />

obtained chromatograms in Fig. 3 (a). The peaks <strong>of</strong> the products (i. e. HBG and HPT at residence times <strong>of</strong> 23<br />

and 38 min, respectively) are noticeably large in the presence <strong>of</strong> carbon dioxide compared to that <strong>of</strong> water alone<br />

in Fig. 3 (c) or even when pressurized with an inert gas such as N2 at 10 MPa in Fig. 3 (b). This indicates that<br />

hydrolysis <strong>of</strong> hesperidin took place in the presence <strong>of</strong> carbon dioxide at high pressure, confirming the catalytic<br />

effect <strong>of</strong> its addition.<br />

(a) water + CO2 at 10 MPa<br />

hesperetin-β-glucoside<br />

(b) water + N2 at 10 MPa<br />

(c) water<br />

hesperidin<br />

hesperitin<br />

Figure 3. Comparison <strong>of</strong> HPLC-DAD chromatographs <strong>of</strong> products obtained at 140C and<br />

reaction time <strong>of</strong> 2 h<br />

Dependency <strong>of</strong> hydrolysis reaction on carbon dioxide pressure<br />

The solubility data <strong>of</strong> carbon dioxide in water at a pressure range <strong>of</strong> 10-25 MPa and temperature range <strong>of</strong><br />

110-150C, as reported by Takenouchi and Kenney [20], showed that the solubility <strong>of</strong> carbon dioxide increases<br />

with increasing pressure. Even at a low pressure <strong>of</strong> 10 to 25 MPa, the solubility <strong>of</strong> CO2 in water may increase up<br />

to 60%. This increase in solubility <strong>of</strong> carbon dioxide at elevated pressures enhances the formation <strong>of</strong> carbonic<br />

acid, which serves as a catalyst for the reaction [20-22, 24].<br />

Experiments at 140C and reaction time <strong>of</strong> 2 h were performed at various pressures up to 25 MPa.<br />

Preliminary results show decreasing trend <strong>of</strong> HPD concentration, with increasing pressure. This indicates a<br />

positive dependency <strong>of</strong> hydrolysis rate with increasing carbon dioxide pressure, evident from the increase in<br />

products concentration.<br />

The conversion <strong>of</strong> HPD was close to 52%, while the reaction was more selective towards HBG formation. At<br />

a higher pressure <strong>of</strong> 25 MPa, the conversion increased, but the selectivity <strong>of</strong> HBG decreased due most likely to<br />

its further decomposition to HPT as a result <strong>of</strong> the cleavage <strong>of</strong> the glucosidic bond.


Concentration 10 5 (mol/l)<br />

Relation <strong>of</strong> hydrolysis reaction on temperature and time<br />

Reactions under hydrothermal conditions are highly dependent on temperature and time. It is expected that at<br />

a relatively lower temperatures the hydrolysis would proceed slowly, thus it would take longer time for the<br />

reaction to reach equilibrium or completion. In contrast, at higher temperatures, the reaction rate is fast obtaining<br />

high yield even in short time.<br />

This behavior is evident from the results <strong>of</strong> the experiments at a pressure <strong>of</strong> 25 MPa conducted on the effect <strong>of</strong><br />

time up to 4 h and temperature <strong>of</strong> 110-140C on the amount <strong>of</strong> each compound in hydrolysate as shown in Fig. 4<br />

(a) - (c). The initial rate <strong>of</strong> reaction indicates by the slope <strong>of</strong> the graph for the change in concentration <strong>of</strong><br />

hesperidin with time at various temperatures increases with increasing temperature. As a result, the formation <strong>of</strong><br />

two main products, especially HPT, increases with increasing temperatures from 110 to 140C.<br />

The highest amount <strong>of</strong> HBG <strong>of</strong> about 4.2 mol/l was obtained at reaction time <strong>of</strong> 2 h at a temperature <strong>of</strong> 140C<br />

as shown in Fig. 4 (b). At longer reaction time, the amount decreased gradually due to its possible decomposition<br />

to other compounds such as HPT as indicated by the results shown in Fig. 4 (c). The highest HPT concentration<br />

<strong>of</strong> about 6.9 mol/l was obtained at reaction time <strong>of</strong> 3 h, attaining reaction equilibrium thereafter. The conversion<br />

<strong>of</strong> HPD reached the maximum at 73.3% in 4 h, while the selectivity to HBG was high initially at 71.1% and<br />

decreased with time reaching only about 39.8% in reaction time <strong>of</strong> 4 h.<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

Concentration 10 5 (mol/l)<br />

10<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

0<br />

0 1 2 3 4 5<br />

Time (h)<br />

0<br />

0 1 2 3 4 5<br />

Time (h)<br />

(a) hesperidin<br />

10<br />

(b) hesperetin--glucoside (c) hesperetin<br />

<br />

Concentration 10 5 (mol/l)<br />

9<br />

8<br />

7<br />

6<br />

5<br />

4<br />

3<br />

2<br />

1<br />

T ( C) Symbol<br />

140<br />

130<br />

120<br />

110<br />

0<br />

0 1 2 3 4 5<br />

Time (h)<br />

Figure 4. Effect <strong>of</strong> temperature and reaction time at 110-140C, 25 MPa<br />

Based on these results, the hydrolysis <strong>of</strong> HPD is speculated to consist <strong>of</strong> complex reactions involving<br />

consecutive reactions via HBG route to its final decomposition product – HPT. Parallel reaction involving direct<br />

cleavage <strong>of</strong> the glucosidic bond in HPD to form HPT is also likely to occur. The degradation behavior can be<br />

further explained by the fact that an increase in temperature decreases activation energy <strong>of</strong> the reaction, making


the hydrolysis faster. On other hand, at lower temperature <strong>of</strong> 110C, it is reported that HPD is quite resistant to<br />

acid-catalyzed hydrolysis [2, 24], thus obtaining lower yield.<br />

Based on these results, the overall degradation reaction <strong>of</strong> hesperidin follows a first-order rate kinetics, and the<br />

concentration <strong>of</strong> hesperidin,


CONCLUSION<br />

Hydrothermal hydrolysis <strong>of</strong> hesperidin (HPD), a bi<strong>of</strong>lavonoid predominantly present in immature citrus fruits,<br />

was investigated under hydrothermal conditions pressurized by supercritical carbon dioxide.<br />

Hesperetin-β-glucoside (HBG) and hesperetin (HPT) were the main products obtained by the cleavage <strong>of</strong><br />

rhamnosidic and glucosidic bonds <strong>of</strong> HPD, respectively. These products are known to be more valuable than<br />

HPD, and are used as precursors for the synthesis <strong>of</strong> functional compounds like sweeteners.<br />

The catalytic effect <strong>of</strong> adding carbon dioxide under supercritical conditions was first verified, and the results<br />

were further compared with those obtained using N2, an inert gas. Detailed experiments carried out in a<br />

temperature range <strong>of</strong> 110-140 o C and pressures up to 25 MPa showed a positive dependency <strong>of</strong> hydrolysis rate<br />

with increasing CO2 pressure owing to the increased formation <strong>of</strong> carbonic acid. The highest yields <strong>of</strong> HBG and<br />

HPT were obtained at the maximum investigated pressure <strong>of</strong> 25 MPa and temperature <strong>of</strong> 140 o C. The highest<br />

concentration <strong>of</strong> HBG <strong>of</strong> about 4.2 mol/l was obtained in 2 h <strong>of</strong> reaction time, whereas the highest concentration<br />

<strong>of</strong> 6.9 mol/l <strong>of</strong> HPT was obtained in 3 h. The highest conversion <strong>of</strong> HPD was close to 52%. Addition <strong>of</strong> ethanol<br />

(EtOH) as cosolvent might increase the solubility <strong>of</strong> HPD, but it inhibited hydrolysis reaction and the formation<br />

<strong>of</strong> carbonic acid. Thus, addition <strong>of</strong> EtOH as cosolvent is not recommended in this method. Using the proposed<br />

method, the reaction was also found more selective to the formation <strong>of</strong> the target compounds better than the<br />

other hydrolysis methods reported in literatures.<br />

The application supercritical carbon dioxide-induced hydrolysis <strong>of</strong> natural products without using any harmful<br />

catalysts or organic solvents lays the groundwork for further development <strong>of</strong> this promising technology. Being<br />

safe, clean and green, the outlook is bright for the application <strong>of</strong> this technology to food and pharmaceutical<br />

industry. Future investigation includes elucidation <strong>of</strong> the mechanism <strong>of</strong> its action while widening the scope <strong>of</strong> its<br />

possible applications.<br />

ACKNOWLEDGEMENTS<br />

This work was partly supported by the Ministry <strong>of</strong> Economy, Trade and Industry (Japan) and Kumamoto<br />

University Global COE Program.<br />

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