ABSTRACT
Malting quality of barley is a complex characteristic, which is influenced by a combination of interacting traits that are regulated by various genetic and environmental factors. The activities of various enzymes play pivotal roles in determining the malting quality, as they drive the biochemical processes responsible for converting barley saccharides and proteins into fermentable sugars and amino acids during the malting process. In this study, 14 malting barley cultivars were used to investigate the relationship between enzyme activities and malting quality traits. The results revealed a significant correlation between α‐amylase activity and malt extract (MEX), viscosity (VIS), free α‐amino nitrogen (FAN), and Kolbach index (KI). In contrast, β‐amylase activity exhibited a significant correlation solely with diastatic power (DP). β‐glucanase activity was significantly correlated with FAN and KI. The elevated expression levels of both HvBmy1 and HvBmy2 contributed to high DP, and the activation of α‐amylase genes (HvAmy1 and HvAmy2) and β‐glucanase genes (HvGlb1 and HvGlb2) played a crucial role in producing high FAN and KI. These results enhance our understanding of the relations between enzyme activity and malting quality traits and thereby may facilitate further breeding for malt barley cultivars.
Keywords: barley, correlation, enzyme activity, gene expression, malting quality
Overall, α‐amylase activity, β‐amylase activity, and β‐glucanase activity in malt were significantly correlated with malting qualities. The expression of genes encoding α‐amylase, β‐amylase, and β‐glucanase were remarkably increased and exhibited similar patterns during germination in cultivars with elite malting quality traits.
1. Introduction
Malt constitutes the primary constituent used in the brewing industry. Malt is derived from barley ( Hordeum vulgare L.) grains through controlled germination, leading to the physical and biochemical alteration of the barley endosperm (Yousif and Evan Evans 2020). The malting process can be categorized into three distinct stages: steeping, germination, and kilning (Kumar, Chaturvedi, and Singh 2023). Hydrolytic enzymes are synthesized and/or released to degrade starch, cell wall nonstarch polysaccharides, proteins, and lipids during germination, which is crucial for endosperm carbohydrates and protein modification, and utilization during malt mashing (Rani and Whitcomb 2025; Yousif and Evan Evans 2020).
Malting quality of barley is a complex characteristic, which is influenced by not only genetics, environment, and their interactions, but also the technical operation of the malting process (Leisova‐Svobodova et al. 2024). Malting quality traits encompass malt extract (MEX), wort β‐glucan (BG) content, wort viscosity (VIS), Kolbach index (KI), free α‐amino nitrogen (FAN), soluble protein (SP), diastatic power (DP), α‐amylase (EC 3.2.1.1) activity, β‐amylase (EC 3.2.1.2) activity, friability, β‐glucanase (EC 3.2.1.73) activity, and fermentability (Fox et al. 2003). The brewing industry requires malt with high fermentable sugar and malt extract levels, low wort viscosity, high DP, optimal protein content, and low BG content for good malting quality (Bamforth 2009). The main objectives in malting include synthesis of various enzymes within the grain (e.g., α‐amylase, β‐amylase, and β‐glucanase), enzymatic breakdown of barley endosperm cell walls (predominantly β‐glucan), and cellular contents (a portion of the endosperm protein), as well as the development of desirable malt color and flavor (Briggs 1998; Laitila et al. 2007). MEX is an important indicator of malting quality and is influenced by grain development (Fox et al. 2003). DP is the total activity of malt enzymes that hydrolyze starch to fermentable sugars, which leads to elevated FAN levels and involves α‐amylase and β‐amylase (Cu et al. 2016). The characteristics and properties of them significantly impact the fermentability of wort (Evans et al. 2005). And β‐amylase activity was found to be a better predictor of DP compared with α‐amylase (Georg‐Kraemer, Mundstock, and Cavalli‐Molina 2001). The degradation of grain protein serves as a crucial source of amino acids, which is vital for yeast growth during fermentation; however, an excessive amount of grain protein results in a decrease in MEX (Qi et al. 2005). BG is the major component of endosperm cell wall, and cell wall contains around 70% BG (Kuusela et al. 2004). During germination, β‐glucanase is synthesized and catalyzes the breakdown of BG (Kuusela et al. 2004). Insufficient degradation of cell wall leading to a high wort BG content may impede enzyme diffusion in germinated grains and result in a reduction of MEX (Bamforth 2003). The presence of residual BG in malt and solubilization of high molecular weight BG can also result in high VIS, thereby causing filtration problems (Bamforth 2003; Lai et al. 2004). And proteinases degrade large and typically insoluble storage proteins into soluble proteins, peptides, and amino acids (Simpson 2001). KI is a measure of the degree of protein degradation in malt, calculated as the ratio of soluble nitrogen content to total nitrogen content (Liu et al. 2021).
The objective of this study was to elucidate the relationship between saccharide‐hydrolyzing enzymes such as α‐amylase, β‐amylase and β‐glucanase, and malting quality traits, and also to uncover the universal regulatory mechanisms of these genes underpinning cultivars with elite malting quality traits.
2. Materials and Methods
2.1. Plant Growth and Sampling
A total of 14 malt barley cultivars were used in this study, which are widely recognized and commonly employed (Table 1). All cultivars were grown in mid‐November 2015 in Hangzhou, Zhejiang Province (HZ, 30°25′ N, 120°17′ E), which has a subtropical monsoon climate. The preceding crop was rice and the soil type was silt‐loam with medium fertility. The experiments were conducted utilizing a randomized complete block design with three replicates. The fertilization, disease, and pest control were carried out as described in previous research (Wang et al. 2018). Manual weeding was carried out as required. The average high/low temperatures from November 2015 to May 2016 were 17°C/11°C, 11°C/5°C, 7°C/2°C, 13°C/3°C, 17°C/8°C, 22°C/14°C, and 26°C/18°C, respectively. The grains were harvested and subsequently stored at −4°C for further analyses.
TABLE 1.
Variety | Source | Variety | Source |
---|---|---|---|
Xiumai3 | China | Supi3 | China |
Dan2 | China | Sloop | Australia |
Zheyuan18 | China | Baudin | Australia |
Zhepi8 | China | Esterel | France |
Gangpi1 | China | Kendall | Canada |
Kengpimai8 | China | Schooner | Australia |
Ganpi4 | China | Harrington | Canada |
2.2. Micro‐Malting and Measurements
The barley grains were sieved using a 2.2‐mm mesh, and the retained grains on the sieve were used for micromalting. 200 g grains of each cultivar were subjected to micromalting in a Joe White Micro‐malting System Apparatus (Adelaide, Australia), following the specified procedure: steeping (16°C, 6 h), air‐rest (16°C, 14 h), steeping (16°C, 8 h), air‐rest (16°C, 14 h), steeping (16°C, 4 h); germination at 15°C for 96 h; kilning at 65°C for 24 h. The malt samples were collected on a daily basis starting from the initiation of micromalting (0, 1, 2, 3, 4, 5, 6, and 7 days). The malt samples were partitioned into four parts (endosperm, scutellum, root, and shoot), snap‐freezed, and then stored at −80°C for further analysis.
2.3. Malting Quality Traits Determination
The malting quality traits, including MEX, KI, VIS, and DP, were determined as described (Wang et al. 2015). The activities of α‐amylase, β‐amylase, and β‐glucanase were determined using enzyme activity assay kits (Megazyme, Ireland) following manufacturer's instructions.
2.4. RNA Extraction and qRT‐PCR
Total RNA was extracted using RNeasy Plant Mini Kit (Qiagen, Germany) according to its protocol, and then reverse transcribed to cDNA using SuperScript III First‐Strand Synthesis SuperMix (Invitrogen, USA). Quantitative real‐time PCR (qRT‐PCR) was performed to determine the relative transcript level of six malting quality‐related genes (Table 2) using Power SYBR Green PCR Master Mix kit (Applied Biosystems, USA). Primers used are listed in Table 2. The relative expression levels of genes in endosperm, scutellum, and shoot at 1 day of germination were normalized to 1, while that in root at 2 days of germination were normalized to 1.
TABLE 2.
Gene | Genbank accession | Primer sequences (5′ to 3′, forward/reverse) | Product (bp) | Annealing (°C) |
---|---|---|---|---|
Barley 18S | AY552749.1 | CGCTCTGGATACATTAGCATGG | 162 | 60 |
GCTTTCGCAGTTGTTCGTCTTTCA | ||||
HvAmy1 | M17128.1 | GTCTGCACTGATCCGTCATTCGAT | 140 | 60 |
CTACAGTCGTGTGAGCAATTCGTA | ||||
HvAmy2 | FN179390 | CCTCATTCCTGAAGGCTTCAAAGT | 97 | 60 |
AATTTGTAGAGCCGCTCCGTTAAT | ||||
HvBmy1 | FN179393 | TGCCGTCCAGATGTATGCCGATTA | 106 | 60 |
AGCTGGGCCAAGTCCTACTTCAAT | ||||
HvBmy2 | FN179394 | AGCGCACCAGAAGAACTAGTCCAA | 135 | 60 |
TTTCGGCCTCGCATTCCTGAGTAT | ||||
HvGlb1 | X56775 | ACGCCGTACGTATGCGCACATTAT | 158 | 60 |
GCGTTTGCATATGCTTCCCTTCCA | ||||
HvGlb2 | AK251293 | CCTCTTAATTACCTCCTCTTTCCA | 153 | 60 |
CATTTACGGTTGCTACGTTATGAC |
2.5. Statistical Analysis
Analysis of variance (ANOVA) was carried out among barley genotypes and followed by the least significant difference (LSD) multiple range test (p < 0.05), using SPSS 20.0 (IBM, USA).
3. Results
3.1. Statistical Analysis of Malting Quality Traits
The 14 cultivars exhibited significant differences in malting quality traits: MEX, VIS, FAN, KI, and DP (Table 3). DP varied from 202.28 WK to 471.27 WK and showed the highest degree of variation among 14 cultivars with a coefficient of variation (CV) of 24.16%. FAN, KI, and VIS varied from 100.1 mg/100 g to 163.41 mg/100 g, 40.84% to 67.75%, and 0.79 mPa·s to 1.00 mPa·s, with the CV of 15.60%, 15.48%, and 5.75%, respectively (Table 3). MEX displayed the lowest CV of 2.56% and ranged from 77.36% to 84.33% (Table 3). MEX of Kendall was the highest among 14 cultivars, reaching 84.33% (Figure 1A). MEX of Dan2, Harrington, Baudin were also exceeded 81%. Kendall displayed the lowest VIS of 0.79 mPa·s, followed by Harrington of 0.81 mPa·s. Zheyuan18 displayed the highest VIS of 1.00 mPa·s (Figure 1B). DP of Schooner and Zheyuan18 were lower than 210 WK, while that of the others were higher than 250 WK (Figure 1C). DP of Ganpi4 reached a peak of 471.27 WK. Kendall exhibited the highest FAN content and KI, reaching 163.41 mg/100 g and 67.75%, followed by Harrington with 158.01 mg/100 g and 60.12%, respectively (Figure 1D,E).
TABLE 3.
Trait | F | Minimum | Maximum | Mean | SD | CV% |
---|---|---|---|---|---|---|
MEX (%) | 1.54 | 77.36 | 84.33 | 79.74 | 2.04 | 2.56 |
VIS (mPa·s) | 9.01** | 0.79 | 1.00 | 0.87 | 0.05 | 5.75 |
FAN (mg/100 g) | 56.01** | 100.1 | 163.41 | 128.07 | 19.98 | 15.60 |
KI (%) | 55.26** | 40.84 | 67.75 | 50.63 | 7.84 | 15.48 |
DP (WK) | 130.38** | 202.28 | 471.27 | 344.44 | 83.23 | 24.16 |
Abbreviations: DP, diastatic power; FAN, free α‐amino nitrogen; KI, Kolbach index; MEX, malt extract; VIS, viscosity.
Significance at p < 0.01.
3.2. Dynamics of Enzyme Activity
The dynamics of hydrolytic enzyme activity after germination was investigated. The activity of α‐amylase, β‐amylase, and β‐glucanase of 14 cultivars generally increased rapidly during germination (Figure 2). α‐amylase activity of tested cultivars increased and peaked at 5 days of germination and subsequently slightly decreased, except that of Zheyuan18, Gnagpi1, and Sloop, which peaked at the end of germination procedure (Figure 2A). α‐amylase activity of Kendall, Harrington, and Baudin exhibited the highest rate of increase and maximum value. β‐amylase activity of all cultivars displayed a rapid increase during the first 3 days and then a slight increase until 5 days. β‐amylase activity of Ganpi4 was consistently higher than that of other cultivars during the whole germination period (Figure 2B). β‐glucanase activity of all cultivars increased during the germination period and peaked at 5–6 days. Notably, Kendall exhibited remarkably higher β‐glucanase activity after 4 days of germination compared with other cultivars (Figure 2C).
3.3. Correlation Among Enzyme Activity and Malting Quality Traits
Correlation among hydrolytic enzymes and malt quality traits was investigated (Table 4). β‐glucanase activity showed a significant and positive correlation with FAN and KI. It also exhibited a positive correlation with MEX and a negative correlation with VIS, although the correlation did not reach statistical significance. α‐amylase activity was significantly and negatively correlated with VIS, while significantly and positively correlated with MEX, FAN, and KI. β‐amylase activity displayed significant and positive correlation with DP. Among malt quality traits, MEX showed a significant and negative correlation with VIS, while a significant and positive correlation with FAN and KI. VIS exhibited a significant and negative correlation with FAN and KI. FAN was significantly and positively correlated with KI.
TABLE 4.
β‐glucanase activity | α‐amylase activity | β‐amylase activity | MEX | VIS | FAN | KI | |
---|---|---|---|---|---|---|---|
α‐amylase activity | 0.4 | ||||||
β‐amylase activity | −0.02 | 0.11 | |||||
MEX | 0.47 | 0.76** | 0.31 | ||||
VIS | −0.46 | −0.83** | −0.38 | −0.81** | |||
FAN | 0.54* | 0.69** | −0.06 | 0.84** | −0.59* | ||
KI | 0.67** | 0.86** | 0.04 | 0.87** | −0.82** | 0.86** | |
DP | −0.12 | 0.22 | 0.86** | 0.42 | −0.47 | 0.06 | 0.15 |
Abbreviations: DP, diastatic power; FAN, free α‐amino nitrogen; KI, Kolbach index; MEX, malt extract; VIS, viscosity.
Significance at p < 0.05 and p < 0.01, respectively.
Significance at p < 0.05 and p < 0.01, respectively.
3.4. The Expression Profiling of Malting Quality‐Related Genes
Generally, Kendall and Harrington exhibited high MEX, FAN, and KI, low VIS as well as moderate DP, while Ganpi4 exhibited the highest DP (Figure 1). On the other hand, MEX, FAN, KI, and VIS were significantly correlated with α‐amylase activity; FAN and KI were significantly correlated with β‐glucanase activity; and DP was significantly correlated with β‐amylase activity (Table 4). Therefore, Kendall and Harrington were used for expression analysis of α‐amylase (HvAmy1 and HvAmy2) and β‐glucanase genes (HvGlb1 and HvGlb2), while Kendall and Ganpi4 were used for expression analysis of β‐amylase genes (HvBmy1 and HvBmy2).
The expression levels of HvAmy1 in endosperm increased, and peaked at 3 days and 4 days in Kendall and Harrington, respectively, and decreased subsequently (Figure 3A,B). In scutellum, the highest expression levels of HvAmy1 were observed at 2 days for both cultivars, and the expression level in Harrington was slightly higher than that in Kendall. In root and shoot, the expression levels of HvAmy1 were relatively low. Likewise, the expression levels of HvAmy2 in endosperm summited at 3 days and 4 days in Kendall and Harrington, respectively, followed by a rapid decline thereafter (Figure 3C,D). The expression of HvAmy2 in the scutellum of Kendall reached its peak at 2 days, whereas in Harrington, the highest expression level was observed at 4 days. The expression levels of HvAmy2 in shoots also increased and peaked at 2 days in both cultivars.
The expression levels of HvGlb genes exhibited a rapid increase after germination and gradually decreased after reaching peak expression at 2–5 days (Figure 4). The expression levels of HvGlb1 in the endosperm of both cultivars increased up to a maximum of 7‐fold at 2–3 days (Figure 4A,B). Notably, the expression of HvGlb1 in root exhibited a remarkable disparity between these two cultivars, with Harrington reaching a maximum of over 45‐fold at 5 days, while Kendall only about 10‐fold (Figure 4A,B). The expression levels of HvGlb2 in the endosperm exhibited a rapid increase, reaching their maximum at 3 days with an 11.7‐fold increase in Kendall and a 7.9‐fold increase in Harrington (Figure 4C,D). However, the expression level of HvGlb2 in Harrington scutellum was much higher than that in Kendall scutellum at 2 days.
The expression levels of HvBmy genes in scutellum, root, and shoot exhibited a gradual increase starting from 2 days of germination and reached their peak at 3–4 days (Figure 5). The expression levels in endosperm were much lower than that in other parts. Similar expression patterns were observed for both HvBmy1 and HvBmy2. The expression levels of both genes in root and scutellum were comparatively lower in Ganpi4 than in Kendall, however, Ganpi4 reached its maximum levels 1 day earlier than Kendall (Figure 5).
4. Discussion
4.1. β‐Amylase Activity and Malting Quality Traits
Malting is one of the most important end uses of barley, and thus improving malting quality has been a primary objective for breeders over the past few decades. However, limited progress has been made due to the insufficient genetic understanding pertaining to malting quality traits. Hydrolytic enzymes are synthesized or activated during malting to degrade endosperm cell wall, facilitating further enzymatic hydrolysis of starch, proteins, and lipids (Bamforth 2009). Amylase is very important to mobilize fermentable sugars from starch (Daba et al. 2019), and β‐amylase is the most important enzyme in terms of DP (Coventry et al. 2003; Duke and Henson 2009; Evans, Li, and Eglinton 2008; Filichkin et al. 2010; Henson and Duke 2008). In this work, Ganpi4 displayed the highest DP reaching 471.27 WK (Figure 1C), and the β‐amylase activity of Ganpi4 consistently exhibited higher levels compared with other cultivars throughout the entire germination period (Figure 2B). In addition, the β‐amylase activity demonstrated a significantly positive correlation with DP when all 14 cultivars were included for correlation analysis (Table 4). These results were in accordance with previous research. The synthesis of β‐amylase occurs in the aleurone layer, and it is subsequently released from a protein complex to become active (Grime and Briggs 1996; Guerin, Lance, and Wallace 1992). There are two forms of β‐amylase, β‐amylase1, and β‐amylase2 (Vinje et al. 2011a, 2011b). It was reported that the majority of β‐amylase activity in barley malt and wort was primarily attributed to β‐amylase1 (Henson and Duke 2016). However, both HvBmy1 and HvBmy2 showed a similar expression pattern in this work, suggesting that both genes contributed to DP. Interestingly, Ganpi4, which exhibited the highest β‐amylase activity during germination, demonstrated a relatively lesser increase in the expression levels of both genes compared to Kendall, which had a moderate DP (Figure 5). However, the expression of both genes in Ganpi4 showed a rapid increase in scutellum and root, peaking 1 day earlier than Kendall. This suggested that Ganpi4 might synthesize β‐amylase earlier and accumulate higher levels of it to achieve higher β‐amylase activity, and consequently a higher DP.
4.2. α‐Amylase Activity and Malting Quality Traits
α‐amylase is an endohydrolase that facilitates the hydrolysis of internal α‐(1,4)‐glucosyl linkages within amylose and amylopectin molecules, thereby playing a pivotal role in starch degradation (Evans et al. 2005). High α‐amylase activity is consistently associated with elevated levels of fermentable sugars and subsequently, increased MEX, which is a core characteristic of malting quality determining the final output of beer during fermentation (Islamovic et al. 2014). In this work, α‐amylase activity was observed to be significantly and positively correlated with MEX (Table 4). The α‐amylase activity of Kendall and Harrington increased more rapidly and reached a higher peak than other cultivars (Figure 2A). These two cultivars exhibited higher MEX levels than other cultivars, with Kendall in particular reaching an impressive MEX level of 84.33% (Figure 1A; Table 3). Moreover, α‐amylase activity also exhibited significant and positive correlation with FAN and KI, whereas significant but negative correlation with VIS (Table 4). In addition, Kendall and Harrington exhibited similar expression patterns of HvAmy1 and HvAmy2 during germination, although the expression levels of HvAmy1 and HvAmy2 in Kendall endosperm peaked 1 day earlier than that in Harrington (Figure 3). Large numbers of α‐amylase are synthesized by scutellum epithelial cells and aleurone layer cells and then secreted into endosperm to degrade starch (Fu et al. 2025; Macgregor et al. 1984; Mundy, Brandt, and Fincher 1985; Ranki 1990), thus the expression levels of both HvAmy1 and HvAmy2 in endosperm and scutellum were much higher than that in root (Figure 3).
4.3. β‐Glucanase Activity and Malting Quality Traits
The endosperm cell wall of barley is primarily composed of BG, with β‐glucanase being the primary enzyme responsible for its degradation (Gianinetti 2009). It was reported that low activity of malt β‐glucanase led to an increase in BG content and a decrease in DP, thus affecting the composition of fermentable sugars in the wort (Rani et al. 2024). Another recent research revealed that lack of β‐glucanase activity resulted in reduced DP, and thereby insufficient starch degradation or fermentation (Kihara et al. 2024). β‐glucanase is encoded by two genes, namely HvGlb1 and HvGlb2, and both enzymes are synthesized in the aleurone (Kuusela et al. 2004; Matthies et al. 2009). The expression of both HvGlb1 and HvGlb2 increased to the peak levels at 2–3 days (Figure 4). In root, only HvGlb1 was highly expressed at a relatively late stage (5 days) with Harrington showing much higher expression level (> 45 times; Figure 4A,B). During germination, the proteinases are responsible for catalyzing the hydrolysis of storage proteins into soluble proteins, peptides, and amino acids (Simpson 2001). High FAN level is crucial for the growth of yeast during fermentation (Islamovic et al. 2014). It was reported that proteinase activity exhibited dramatic variation among barley genotypes and was correlated positively with FAN and KI (Kihara et al. 2002). The present study revealed a significantly positive correlation between the activities of polysaccharide hydrolyzing enzymes (β‐glucanase and α‐amylase) and FAN as well as KI (Table 4). The induced expression of HvAmy1 and HvAmy2 in endosperm and scutellum, along with HvGlb1 and HvGlb2 in endosperm, led to the increased synthesis of hydrolases (α‐amylase and β‐glucanase) during germination. This resulted in greater endosperm cell wall (primarily consisting of β‐glucan) and protein modification during germination, leading to the high FAN and KI in Kendall and Harrington (Figure 1D,E).
5. Conclusion
The present study investigated the relationships between the activities of three saccharide hydrolyzing enzymes and five malting quality traits across 14 malt barley cultivars and explored the expression patterns of six enzyme genes in diverse tissues of cultivars with elite malting quality traits. Overall, α‐amylase activity was significantly correlated with MEX, VIS, FAN, and KI, whereas β‐amylase activity was significantly correlated solely with DP. β‐glucanase activity was significantly correlated with FAN and KI. The expression of genes encoding α‐amylase, β‐amylase, and β‐glucanase were remarkably increased and exhibited similar patterns during germination in cultivars with elite malt quality traits. These results enhance our understanding of the relations between enzyme activity and malting quality traits and may facilitate further breeding for malt barley cultivars.
Author Contributions
Kangfeng Cai: formal analysis (equal), writing – original draft (equal), writing – review and editing (equal). Xiaojian Wu: formal analysis (equal), investigation (lead), writing – original draft (equal). Wenhao Yue: formal analysis (supporting). Lei Liu: formal analysis (supporting). Xiujuan Song: formal analysis (supporting). Fangying Ge: formal analysis (supporting). Qiuyu Wang: formal analysis (supporting). Junmei Wang: conceptualization (lead), formal analysis (equal), funding acquisition (lead), project administration (lead), resources (supporting), supervision (lead), writing – review and editing (equal).
Ethics Statement
The authors have nothing to report.
Consent
Written informed consent was obtained from all study participants.
Conflicts of Interest
The authors declare no conflicts of interest.
Acknowledgments
This research was funded by the National Natural Science Foundation of China (31671678, 31271719), the Natural Science Foundation of Zhejiang Province (LQ23C130004), the Zhejiang Science and Technology Major Program on Agricultural New Variety Breeding (2021C02064‐3‐2), and the China Agriculture Research System (CARS‐05‐01A‐06).
Funding: This work was supported by the Zhejiang Science and Technology Major Program on Agricultural New Variety Breeding, 2021C02064‐3‐2, Natural Science Foundation of Zhejiang Province, LQ23C130004, National Natural Science Foundation of China, 31271719, 31671678, and Earmarked Fund for China Agriculture Research System, CARS‐05‐01A‐06.
Kangfeng Cai and Xiaojian Wu contributed equally to this work.
Data Availability Statement
The authors have nothing to report.
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