Identification of novel bioactive peptides with α ... - ACS Publications

A mass spectrometry (ESI-Q-TOF- MS) analysis was used to identify. 7 peptides from this fraction. ... of novel ingredients in food and pharmaceuticals...
10 downloads 7 Views 3MB Size
Subscriber access provided by UNIV OF NEW ENGLAND ARMIDALE

Bioactive Constituents, Metabolites, and Functions

Identification of novel bioactive peptides with #-amylase inhibitory potential from enzymatic protein hydrolysates of red seaweed (Porphyra spp) Habtamu Admassu, Mohammed A. A. Gasmalla, Ruijin Yang, and Wei Zhao J. Agric. Food Chem., Just Accepted Manuscript • DOI: 10.1021/acs.jafc.8b00960 • Publication Date (Web): 18 Apr 2018 Downloaded from http://pubs.acs.org on April 18, 2018

Just Accepted “Just Accepted” manuscripts have been peer-reviewed and accepted for publication. They are posted online prior to technical editing, formatting for publication and author proofing. The American Chemical Society provides “Just Accepted” as a service to the research community to expedite the dissemination of scientific material as soon as possible after acceptance. “Just Accepted” manuscripts appear in full in PDF format accompanied by an HTML abstract. “Just Accepted” manuscripts have been fully peer reviewed, but should not be considered the official version of record. They are citable by the Digital Object Identifier (DOI®). “Just Accepted” is an optional service offered to authors. Therefore, the “Just Accepted” Web site may not include all articles that will be published in the journal. After a manuscript is technically edited and formatted, it will be removed from the “Just Accepted” Web site and published as an ASAP article. Note that technical editing may introduce minor changes to the manuscript text and/or graphics which could affect content, and all legal disclaimers and ethical guidelines that apply to the journal pertain. ACS cannot be held responsible for errors or consequences arising from the use of information contained in these “Just Accepted” manuscripts.

is published by the American Chemical Society. 1155 Sixteenth Street N.W., Washington, DC 20036 Published by American Chemical Society. Copyright © American Chemical Society. However, no copyright claim is made to original U.S. Government works, or works produced by employees of any Commonwealth realm Crown government in the course of their duties.

Page 1 of 40

Journal of Agricultural and Food Chemistry

Identification of novel bioactive peptides with α-amylase inhibitory potential from enzymatic protein hydrolysates of red seaweed (Porphyra spp)

Habtamu Admassu †, §, Mohammed A. A. Gasmalla4 ¶, Ruijin Yang †, ‡, Wei Zhao†, ‡ * †

State Key Laboratory of Food Science and Technology, Jiangnan University, 1800 Lihu

Avenue, Wuxi 214122, Jiangsu, China §

Department of Food Process Engineering, Addis Ababa Science and Technology University,

P. O. Box 16417, 1000 Addis Ababa, Ethiopia. ‡

School of Food Science and Technology, Jiangnan University, 1800 Lihu Ave Wuxi, 214122

Jiangsu, China; ¶

Department of Nutrition and Food Technology, Faculty of Science and Technology, Omdurman Islamic University, P.O. Box 382, 14415, Khartoum, Sudan

*Corresponding to: Wei Zhao E-mail: [email protected], Tel: +86-13-952466350, Fax: 0510-85919150,

1

ACS Paragon Plus Environment

Journal of Agricultural and Food Chemistry

1

Abstract

2

Inhibition of α-amylase enzyme is one therapeutic approach in lowering glucose level in

3

the blood to manage diabetes mellitus. In this study α-amylase inhibitory peptides were

4

identified from proteolytic enzymes hydrolysates of red seaweed laver (Porphyra species)

5

using consecutive chromatographic techniques. In the resultant fractions from RP-HPLC

6

(D1-10), D2 inhibited α-amylase activity (88.67 ± 1.05 %) significantly (p ≤ 0.5) at 1mg/mL

7

protein concentration. A mass spectrometry (ESI-Q-TOF- MS) analysis was used to identify

8

peptides from this fraction. Two novel peptides were identified as Gly-Gly-Ser-Lys and

9

Glu-Leu-Ser. To validate their α-amylase inhibitory activity, these peptides were synthesized

10

chemically. The peptides were demonstrated inhibitory activity at IC50 value: 2.58 ± 0.08 mM

11

(Gly-Gly-Ser-Lys) and 2.62 ± 0.05 mM (Glu-Leu-Ser). The inhibitory kinetics revealed that

12

these peptides exhibited non-competitive binding mode. Thus, laver can be a potential source

13

of novel ingredients in food and pharmaceuticals in diabetes mellitus management.

14

Key words: Macro algae, Laver, Bioactive peptides, α-amylase inhibition, Diabetes mellitus

15 16 17 18 19 20 21 22 23 24 25 2

ACS Paragon Plus Environment

Page 2 of 40

Page 3 of 40

Journal of Agricultural and Food Chemistry

26 27

Introduction Recently, food-derived bioactive peptides with therapeutic abilities gained an increasing

28

interest.1

29

maintaining the onset of diet-related diseases such as diabetes mellitus (DM) has given

30

particular attention.2 DM is a complex metabolic syndrome initiated by diminished production,

31

insufficient bioavailability and poor sensitivity of insulin against increased plasma glucose

32

level. Alpha-amylase plays a fundamental role in initiating the chemical breakdown of

33

complex carbohydrates prior to their further conversion into simpler forms (glucose) and

34

absorbed into blood system. Studies suggested that inhibition of α-amylase enzyme can

35

considerably lessening the postprandial rise of glucose level in the blood after a mixed

36

carbohydrate diet 3, thus providing an important strategy in the controlling , especially type-II

37

diabetes. Cognizance of this fact, functional foods and nutraceuticals with α-amylase

38

inhibitory potential has gained significant acknowledgement.

Peptides with specific amino acid sequences that are potent in decreasing and

39

Previously, it has been described that food origin short chain bioactive peptides ranging

40

from 2–20 amino acid residues 4 offer hormone-like physiological benefits in function beyond

41

the basic nutrition.5 These peptides may possess a vast number of pharmacological or

42

physiological effects including antioxidant, antidiabetics, and lowering blood pressure

43

depending on composition of amino acids and their sequence.6 These amino acids are initially

44

found encrypted in the original protein molecule. They can be detached and exert their

45

bioactivities through the in vitro activities of proteolytic exogenous enzymes, chemical

46

hydrolysis, or chemical processing and microbial fermentation of food. 4, 5

47

It was reported that α-amylase inhibitory proteins have been extracted and identified from 3

ACS Paragon Plus Environment

Journal of Agricultural and Food Chemistry

Page 4 of 40

48

plant and animal sources.7-9 The diverse knowledge about bioactive peptides has opened up

49

potential opportunities to use marine macro algae for the development of pharmaceuticals

50

in recent years. Seaweeds having medicinal applications, and exhibiting bioactive properties

51

have been screened.11 Among the notable species of seaweeds is laver (Porphyra spp) that

52

belongs to red macro algae known as Rhodophyta. This seaweed is traditional healthy food in

53

Asian countries, especially popular in Korea and Japan, which is used to make soup and wrap

54

sushi with delicious taste.12

55

regarded as beneficial for reducing blood sugar.13

56

10

Moreover, the laver (Porphyra spp) has long been locally

In earlier studies, peptides of antihypertensive and antioxidant activities are isolated from 14 15

57

macro algae, however, very few studies

,

were reported in the literature for α-amylase

58

inhibitory potential of seaweed proteins and their hydrolysed peptides. Therefore, this study

59

was designed to generate, enhance peptide concentration, separate and identify peptides from

60

dried laver, which are exhibiting α-amylase inhibitory properties by using consecutive

61

chromatographic techniques, such as ultrafiltration (UF) membrane with various molecular

62

weight cut-offs (MWCO), Sephadex gel chromatography, RP-HPLC. Identification the amino

63

acid sequence of potential peptides and molecular weight were determined by using mass

64

spectrometry (ESI-Q-TOF MS). The isolated and identified peptides were synthesized

65

chemically and further confirmed their inhibitory activity in α-amylase bioassay.

66

Materials and Methods

67

Materials. The freeze dried commercial laver (Porphyra spp) was purchased from

68

Rudong Laver farming and processing Industry (Nantong, Jiangsu, China). Laver was

69

powdered by means of a laboratory mill IKA (A11BS25, IKA Laboratory Technology, 4

ACS Paragon Plus Environment

Page 5 of 40

Journal of Agricultural and Food Chemistry

70

Staufen, Germany) and sieved to obtain powder of particles size less than150 µm. α-amylase

71

(EC 3.2.1.1) in porcine pancreas, with an activity of 10 U/mg solid protein, Pepsin (source:

72

gastrointestinal mucosa, activity, ≥ 400 U/mg protein) and Viscozyme®L (a carbohydrase mix,

73

multi-enzyme complex containing a wide range of carbohydrases, including arabinase,

74

cellulase, β-glucanase, hemicellulase, and xylanase), were obtained from Sigma-Aldrich

75

(Shanghai, Jiangsu, China). All the other reagents and chemicals used in this study were

76

HPLC and analytical grade.

77

Preparation of Laver Protein isolate (LPI). The extraction of protein was performed by

78

using carbohydrase mix (Viscozyme® L) enzyme following the method reported previously 16,

79

17

with slight modification: a known amount of freeze dried laver powder sample with

80

particles size (< 150 µm) was blended with acetate buffer in a ratio 1:25 (w:v) in a metal

81

jacketed reactor connected to a thermostatically controlled water bath. The mixture was

82

agitated to produce uniform slurries. The slurries were adjusted to a working pH (4.45-4.50)

83

of Viscozyme® L, and the cell wall degrading enzyme was added to all slurries and incubated

84

at 50 ℃ with a continuous stirring at 300 rpm for 24h. After completion of incubation time,

85

the homogenate was allowed to cool, and the solid precipitate and the supernatant was

86

separated using centrifugation (Avanti J-25 Centrifuge, Beckman Coulter, USA) (10,000 ×g,

87

4 °C , 45 min). The solid precipitate was re-dissolved and washed repeatedly with acidified

88

water and kept in ice bath (0-4 ℃) for 1hr to isoelectric precipitation (pH 3.85-4.0) of protein.

89

Then after, the centrifugation of the slurry was made at (10,000 ×g, 4 °C, 30 min), and the

90

solid precipitate was retained as phase-I. The supernatants at each step were mixed together

91

and adjusted to pH 9.50 using sodium hydroxide (1M) and further incubated for 30 min to 5

ACS Paragon Plus Environment

Journal of Agricultural and Food Chemistry

92

solubilize the remaining proteins from the Viscozyme digestion and centrifuged as before. To

93

obtain remnant protein isolates, the solid precipitate was removed and the liquid part

94

(supernatant) was corrected to pH 3.85-4.0 for isoelectric precipitation as mentioned above

95

and solid precipitate was separated by centrifugation (10,000 ×g, 4 °C, 30 min) as phase-II.

96

Finally, the solid precipitates obtained in both phase-I and Phase-II were combined,

97

thoroughly mixed in deionized H2O until all the solid precipitates are dissolved , then, the pH

98

was raised to 7.0, and lyophilized. The freeze dried powder is named as protein Isolate (LPI)

99

and used for hydrolysis as substrate. The total nitrogen content (%N) of the isolate was 18

100

determined by using Kjeldahl apparatus

, and total protein was calculated as (%N×6.25).

101

Figure 1 demonstrates the schematic representation for the extraction of protein from dried

102

laver using Viscozyme® L and the consecutive processes of chromatographic techniques used

103

in the isolation of α-amylase inhibitory peptides.

104

Enzyme screening. The following enzymes: Alcalase, Neutrase, Pepsin and Trypsin were

105

involved under their optimal conditions in preliminary experiments to screen effective

106

enzyme in producing α-amylase inhibitory hydrolysates. The hydrolysis was underwent with

107

Enzyme/Substrate ratio: 1:100 (w/w) and 4h hydrolysis time at recommended optimal

108

temperature and pH by the manufacturers (Table 1). The hydrolysates produced were

109

evaluated to measure inhibition of α-amylase activity (α-AI) as indicator variable to select

110

efficient enzyme, and determine hydrolysis time.

111

Hydrolysis of laver protein Isolate to produce hydrolysates (LPH). In order to

112

produce α-amylase inhibitory peptides for further study, hydrolysis was conducted using a

113

previously selected enzyme in the preliminary experiments under its optimal conditions 6

ACS Paragon Plus Environment

Page 6 of 40

Page 7 of 40

Journal of Agricultural and Food Chemistry

114

described in Table 1. Each freeze-dried LPI was mixed with buffer (1:20 ratio, 8% substrate,

115

pH 2, and 37 ℃ ) in a 500 ml jacketed-polyethylene glass reactor connected to a thermostat

116

water bath to maintain the temperature, and stirred by magnetic bar on a magnetic stirrer. The

117

pH of the dispersion has been adjusted to the working value of selected enzyme using 1.0 M

118

HCL or NaOH and reacted with the enzyme at 37 ℃ for 4h. Up on completion of enzymatic

119

digestion, the hydrolysate was heated to 90℃ for 15 minutes to deactivate the enzyme, then

120

cooled immediately to room temperature using tape water. The hydrolysate was clarified by

121

centrifugation at 8000 x g (4 ℃ , 20 min) from insoluble residues and denatured proteins, and

122

the supernatants were collected. Fractionation of the supernatants was made via ultrafiltration

123

(UF) membrane with molecular weight (MW) cut-offs of 10 KDa and 3 KDa (Millipore Corp.,

124

Barnant co., Barrington, IL 60010, USA). The fractions obtained were categorized as:

125

MW >10 kDa (LPH-I), MW = 3-10 kDa (LPH-II) and MW< 3KDa (LPH-III). All recovered

126

fractions were lyophilized and analysed for their α-amylase inhibition activity. The yield of

127

protein has been calculated as percentage ratio of total protein content of the hydrolysate in

128

the corresponding hydrolysis time per the protein content of LPI without enzymatic

129

hydrolysis.

130 131 132

Degree of hydrolysis (DH %). The DH was determined using trinitrobenzenesulfonic acid (TNBS) method as described by Adler-Nissen (1979)19, and calculated as follows: DH%) =





x 100 --------------------------------------------------------- (1)

133

Where, htot is the total number of peptide bonds per protein equivalent (8 meq.g-1 protein), and

134

h is the number of hydrolyzed bonds.

135

Measurement of α-amylase enzyme inhibitory activity. The α-amylase inhibitory effect 7

ACS Paragon Plus Environment

Journal of Agricultural and Food Chemistry

136

assay experiment was carried out using the previous methods 20-22, with slight modification: In

137

brief, proper amount of dilutions (0-500 µL) of the hydrolysate solution and 250 µL porcine

138

pancreatic α-amylase (EC 3.2.1.1, 1U.mL-1) solution of 20 mM sodium phosphate buffer (pH

139

6.9 with 6.7mM NaCl) were pre incubated at 37 °C for 20 min. Then, 250 µL soluble starch

140

solution prepared as 1g/100 mL in sodium phosphate buffer (20 mM, pH 6.9 with 6.7mM

141

NaCl) was added to each tube, and maintained at 37 °C for further 10 min. Then, 500µL

142

DNSA coloring reagent was added to each test tube and heated at 100 ℃ for 5 min to

143

terminate the reaction. The reaction mixture was cooled to room temperature and the volume

144

was made to 10 mL with deionized H2O. The absorbance was read at 540 nm using a

145

UV-1100 spectrophotometer. A control, prepared in using sodium phosphate buffer (pH 6.9)

146

without the test sample and blank was prepared using substrate and buffer without enzyme.

147

The results were reported in % inhibition of alpha-amylase as follows:

148

 ! " #$%!& ! " %'

% Inhibition = 1 − 

! " ()%& ! " %'

* X100 --------------- (2)

149

Purification of α-amylase inhibitory peptides. The UF membrane fraction hydrolysate

150

showing better α-amylase inhibitory potential was separated using a column packed with

151

Sephadex G-15 gel filtration chromatography (10 mm × 1000 mm, id), the system was pre-

152

equilibrated with deionized ultra-sonicated water and the same deionized water was used for

153

eluting of the fractions. The fractions eluted at a flow rate of 0.5 ml/min and monitored using

154

spectrophotometer detector (STI UV 50199, Science Technology Co., Hangzhou, China) at

155

220 nm and each fraction was collected separately, lyophilized and investigated for the

156

inhibition of their α-amylase activity. The lyophilized active fraction from Sephadex G-15 gel

157

filtration chromatography was dissolved in demineralized water. Prior to the analysis, the 8

ACS Paragon Plus Environment

Page 8 of 40

Page 9 of 40

Journal of Agricultural and Food Chemistry

158

samples were diluted up to a protein concentration of 10 mg/mL and filtered through 0.22 µm

159

Millipore syringe. The samples were automatically injected into a J sphere ODS-H80 reverse

160

phase-high performance liquid chromatography (RP-HPLC) column (C18, 10 x 250 mm,

161

Waters Corporation, Milford, USA) for further purification. The conditions were: mobile

162

phases (Eluent A: 0.1% TFA (trifluoroacetic acid in distilled water (v/v)), and Eluent B: 0.1%

163

TFA (trifluoroacetic acid) in acetonitrile). The separation was performed with a linear gradient

164

of 5% to 95% eluent B at a flow rate of 1.0 mL/min. The elution peaks of fractions were

165

detected at 220 nm, and the desired peaks with the strongest α-amylase inhibition activity

166

were collected, lyophilized and subjected to amino acid sequence identification and molecular

167

weight determination.

168

Identification of peptide sequence and molecular weight determination. The most

169

active fraction of freeze dried powder of the purified peptide was loaded to a quadrupole

170

time-of-flight mass spectrometer (Q-TOFMS; Waters Corporation, Milford, USA) coupled

171

with an electrospray (ESI) source for the identification of amino acid sequence and molecular

172

weight determination. The freeze-dried purified peptide was dissolved in HPLC grade water

173

to 1mg/mL concentration and mixed with methanol solution (1:1v/v) containing 0.1% FA

174

(formic acid). The sample was filtered through 0.22 µm syringe filter, and analysed on a mass

175

spectrometer (Q-TOF), connected to an HPLC system (Waters Corp., Milford, MA, USA).

176

The chromatographic separation was carried out at a flow rate of 0.2 mL/min with an

177

injection volume of 10 µL on a C18 column – 100mm × 2.1 mm, 3µm particle size (Waters

178

Corp., Milford, MA, USA). Peptides were separated using mobile phases comprised of

179

solvent A (0.1% FA) in water, and solvent B, (0.1% FA) in acetonitrile. The chromatographic 9

ACS Paragon Plus Environment

Journal of Agricultural and Food Chemistry

Page 10 of 40

180

gradient conditions was as follows: 95% of solvent A and 5% of solvent B isocratically for 5

181

min, followed by a linear gradient from 95 to 50% of solvent A for 20 min. In the

182

data-dependent acquisition (DDA) mode, a 1 s TOF MS scan from m/z 100 to m/z 1500 was

183

performed. The tandem mass spectrometry (MS/MS) spectral data were processed using the

184

MaxEnt3 algorithm to translate the spectra to molecular mass and the amino acid sequence of

185

peptides were determined by using BioLynx available, MassLynxV4.1 software package.

186

To further validate the α-amylase inhibitory activity of the purified peptides, the

187

identified peptides, with the same sequence, were synthesized and confirmed to their

188

α-amylase inhibitory activity. The purity of these peptides was measured by reverse-phase

189

HPLC (Column: C18, 4.6mm X 250 mm, 5 micron). The conditions of analysis were:

190

Wavelength: 220 nm, Flow Rate: 1ml/min, Injection Volume: 10 µL, buffer A: 0.1% TFA in

191

water, buffer B: 0.1%TFA in acetonitrile, gradient (linear): 1%-90 % buffer B in 8min. Their

192

molecular weight was measured by mass spectrometry (MS). The MS analysis of the

193

synthesized peptides was performed in the following conditions: Ion source: ESI, Flow rate:

194

0.2 mL/min, buffer concentration: 80 % ACN/20 % water, Run time: 1 min.

195

Mode of inhibition of α-amylase enzyme. The inhibitory kinetics of peptides on

196

α-amylase enzyme was conducted following the method described.23, 24

197

purified peptides were incubated with α-amylase (1U/mL) solution. In another set of tubes

198

α-amylase was incubated with sodium phosphate buffer (pH 6.9). Starch solution at various

199

concentrations (0, 0.5,1.0, 1.5 and 2.5 mg/mL) were added to both sets of reaction mixtures,

200

and then the reaction mixtures were assayed using the procedure for bioassay to measure

201

α-amylase inhibitory activity. The Michaelis-Menton constant (Km), maximum enzyme 10

ACS Paragon Plus Environment

In this study, the

Page 11 of 40

Journal of Agricultural and Food Chemistry

202

reaction rate (Vmax) and the inhibition mode of peptides on the α-amylase-catalyzed

203

hydrolysis of starch was estimated by using double reciprocal of Lineweaver–Burk plots,

204

(1/Vi versus 1/[S]) of enzyme reaction velocity and substrate concentration as follows:

205 206

V- = V./0 7

89

=

45



[2]

45 6[2]

7

85:; [2]

+

7

(Michaelis-Menton equation) --------------------- (3)

85:;

(Lineweaver-Burk equation)-------------------- (4)

207

Statistical Analysis. All results are expressed as mean ± standard deviation with three

208

determinations. The mean differences between each group were analysed by using SPSS

209

statistical software 22.0 (SPSS Inc, Chicago, IL, USA) in one-way analysis of variance

210

(ANOVA). A P-value < 0.05 was considered statistically significant.

211

Results and Discussion

212

Extraction of Laver Protein isolate (LPI) from laver powder. As out lined Figure 1,

213

protein was extracted using enzyme-assisted cell wall disruption technique 16, and isolated in

214

the isoelectric precipitation method. The protein content was found 73.47 ± 1.65% dry mass.

215

Compared to 42.99 ± 0.50% for the dried laver powder, the protein isolate had significantly (p

216

< 0.05) higher protein content. The enzymatic extraction increased the protein content 1.74

217

times that of laver powder. Therefore, Viscozyme®L was ably digested cellular

218

polysaccharides to release protein. This isolated protein was used as substrate to produce

219

α-amylase inhibitory peptides. Seaweeds contain significant amount of proteins, especially,

220

red seaweeds contain 21–47g protein/100 g dry weight.12,25,

221

seaweed protein is often hindered by high degree of structural complexity, rigidity , and

222

assemblies of macromolecular algal cell-wall polysaccharides crosslinked through disulphide

223

bonds.27 To enhance the recovery, the protein extraction protocols employed remains the key 11

ACS Paragon Plus Environment

26

However, extraction of

Journal of Agricultural and Food Chemistry

224

factor.

225

Production of protein hydrolysate (LPH), DH and α-amylase inhibition rate. As

226

shown in Figure 2A, among the four proteolytic enzymes involved in hydrolysis of laver

227

protein isolate to produce α-amylase inhibitory hydrolysates under their optimal conditions,

228

the hydrolysate generated by pepsin enzyme showed efficient α-amylase inhibiting activity

229

(50.34%) at 1.86 mg/mL concentration, followed by hydrolysates of alcalase (31.73%),

230

trypsin (26.42%), and neutrase (18.27%) at similar concentration of protein and at different

231

hydrolysis time. As observed in the results α-amylase inhibitory efficiency of the LPH was

232

affected by the type of enzyme and hydrolysis time. Thus, the hydrolysate produced by pepsin

233

enzyme was revealed that significantly (p < 0.05) potent than the other aforementioned

234

enzymes (Figure 2B). Therefore, in this experiment, pepsin enzyme was chosen as an efficient

235

enzyme in generating effective bioactive peptides from the laver protein to inhibit α-amylase

236

activity.

237

Laver protein isolate was hydrolysed by pepsin enzyme for further study (1.0%

238

enzyme-substrate ratio, 8% substrate, pH 2, and 37℃). The DH, the percentage of peptide

239

bonds cleaved (h) during hydrolysis when compared with the total number of peptide bonds in

240

the original studied substrate (htot) 19, 28, was used to evaluate the extent of protein degradation.

241

As demonstrated in Figure 3A, the DH% of peptic hydrolysate were 8.23% , 12.35% , 15.54%

242

and 12.80% at 1, 2,3 and 4h hydrolysis time, respectively. The results showed that at 3h

243

hydrolysis, DH was highest and significantly different (p10 kDa (LPH-I), MW = 3-10 kDa (LPH-II0 and MW < 3KDa (LPH-III) were obtained.

264

The peptide fraction with MW < 3kDa (LPH-III) demonstrated the highest α-amylase

265

inhibitory effect with an IC50 value of 0.976 mg/mL (Figure 3B). Similar findings have been

266

reported by Ko et.al 30 in which marine Chlorella ellipsoidea hydrolysate were fractionated by

267

using 10 and 5 kDa UF membrane and found out that the fraction with MW