production and molecular characterization of diploid and tetraploid somatic cybrid plants between...
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ORIGINAL PAPER
Production and molecular characterization of diploidand tetraploid somatic cybrid plants between male sterileSatsuma mandarin and seedy sweet orange cultivars
Shi-Xin Xiao • Manosh Kumar Biswas •
Meng-Ya Li • Xiu-Xin Deng • Qiang Xu •
Wen-Wu Guo
Received: 25 July 2013 / Accepted: 19 September 2013 / Published online: 1 October 2013
� Springer Science+Business Media Dordrecht 2013
Abstract Seedlessness, an important economic trait for
fresh fruit, is among the prior goal for all citrus breeding
programs. Symmetric somatic hybridization provides a
new strategy for citrus seedless breeding by creating cy-
brids transferring mitochondrial DNA (mtDNA) controlled
cytoplasmic male sterility (CMS) from the callus parent
Satsuma mandarin (C. unshiu Marc.) to seedy cultivars. In
this study, protoplast fusion was adopted to transfer CMS
from C. unshiu Marc. cv. Guoqing No. 1 (G1) to three
seedy sweet oranges (C. sinensis L. Osb.), i.e. ‘Early gold’,
‘Taoye’ and ‘Hongjiang’. Flow cytometry analysis showed
that 12 of 13 regenerated plants from G1 ? ‘Early gold’, 9
of 12 from G1 ? ‘Taoye’ and both two plants from
G1 ? ‘Hongjiang’ were diploids, while the remaining
regenerated plants were tetraploids. Molecular analysis
using 23 simple sequence repeat (SSR) markers previously
proven to map to the citrus genome showed that the nuclear
DNA from all recovered diploid and tetraploid plants
derived from their corresponding leaf parent, while cleaved
amplified polymorphic sequence analysis showed that the
mtDNA of all regenerated plants derived from the callus
parent, indicating that the regenerated 2X and 4X plants
from all these three combinations are authentic cybrids.
Furthermore, the Chloroplast SSR analysis revealed that
somatic cybrid plants from the three combinations
possessed either of their parental chloroplast type in most
cases. These results demonstrated that mtDNA of G1 Sat-
suma mandarin was successfully introduced into the three
seedy sweet orange cultivars for potential seedlessness via
symmetric fusion.
Keywords Citrus � Cytoplasmic male sterility �Molecular markers � Protoplast fusion � Seedlessness �Somatic cybrid
Abbreviations
CAPS Cleaved amplified polymorphic sequence
CMS Cytoplasmic male sterility
cp-SSR Chloroplast simple sequence repeat
DAPI 40-6-Diamidino-2-phenylindole
G1 C. unshiu Marc. cv. Guoqing No. 1
mtDNA Mitochondrial DNA
SSR Simple sequence repeat
Introduction
For citrus, especially for seedy species such as those of
sweet orange (C. sinensis) and pummelo (C. grandis),
seedlessness has always been a prior goal of breeding.
Seedless Satsuma mandarin with cytoplasmic male sterility
(CMS) trait is a superior material for seedless breeding
(Yamamoto et al. 1997). However, it is difficult to transfer
its CMS to other seedy citrus cultivars by conventional
breeding, as breeders may encounter barriers such as
nucellar polyembryony and long juvenility of most citrus
cultivars (Cai et al. 2009; Grosser and Gmitter 2011),
which may be overcome by somatic hybridization. For
citrus, by the highly successful model of fusing
Electronic supplementary material The online version of thisarticle (doi:10.1007/s11240-013-0384-1) contains supplementarymaterial, which is available to authorized users.
S.-X. Xiao � M. K. Biswas � M.-Y. Li � X.-X. Deng � Q. Xu �W.-W. Guo (&)
Key Laboratory of Horticultural Plant Biology
(Ministry of Education), Huazhong Agricultural University,
Wuhan 430070, China
e-mail: [email protected]
123
Plant Cell Tiss Organ Cult (2014) 116:81–88
DOI 10.1007/s11240-013-0384-1
embryogenic suspension derived protoplasts with leaf-
derived protoplasts, somatic hybrid plants have been cre-
ated from nearly 500 different parental combinations to
date (Grosser and Gmitter 2011). Somatic hybridization
played an important role in citrus seedless breeding
because allotetraploid somatic hybrids are superior breed-
ing parents in interploid crosses for seedless triploid
breeding (Dambier et al. 2011; Grosser and Gmitter 2011).
Meanwhile, citrus somatic cybrids were regenerated from
over 40 parental combinations by standard symmetric
fusion (reviewed by Guo et al. 2013).
A cybrid is a cytoplasmic hybrid possessing the nucleus
of one species and the mitochondria and/or chloroplast of
another species (Bassene et al. 2008). Cytoplasm may alter
the expression of nuclear genes through a communication
termed retrograde signaling (Bassene et al. 2011) and
cytoplasm substitution could have positive effects on
important agronomic traits such as CMS (Yamamoto et al.
1997), aroma (Fanciullino et al. 2005), fruit taste and
nutritional quality (Bassene et al. 2008). In current culture
conditions for citrus protoplasts, since the regenerated cy-
brids usually possess the mitochondria DNA of the sus-
pension parent (Saito et al. 1993; Grosser et al. 1996;
Moriguchi et al. 1996; Moreira et al. 2000; Cabasson et al.
2001; Fanciullino et al. 2005; Bassene et al. 2011; Guo
et al. 2006, 2013), targeted cybridization to create cybrids
with transferred mitochondrial DNA (mtDNA) controlled
CMS to seedy citrus cultivars from Satsuma mandarin (C.
unshiu Marc.) as the embryogenic callus parent was put
forward and realized (Guo et al. 2004, 2013; Cai et al.
2007, 2009). The cybrid of G1 ? HBP (Citrus grandis cv.
Hirado Buntan Pink pummelo) reported by Guo et al.
(2004) has recently overcome juvenility, and encourag-
ingly male sterile character was realized (Zheng et al.
2012). It indicated that transferring mtDNA controlled
CMS to seedy citrus cultivars by simply performing
symmetric fusion with Satsuma mandarin as the embryo-
genic callus parent could realize male sterility and create
seedless fruit (Fig. 1).
Sweet orange is the most popular and large-scale planted
elite species in the world, but most cultivars of ordinary
sweet orange are seedy. It is tricky to obtain sexual hybrids
between Satsuma mandarin and sweet orange because of
their polyembryony (An et al. 2008). However, somatic
cybrids with potential seedlessness between these two cit-
rus species have been created by protoplast fusion (Cai
et al. 2007). The aim of this work was to continuously
obtain more cybrids with potential seedless trait for citrus
scion improvement by fusing seedy sweet oranges with
Satsuma mandarin.
Materials and methods
Materials
A callus line of ‘Guoqing’ NO.1 Satsuma mandarin (G1)
was maintained on solid MT (Murashige and Tucker 1969)
basal medium containing 40 g/L sucrose and 8 g/L agar
(pH 5.8). Suspensions cultures were established and
maintained as previously described (Fu et al. 2004), with
protoplast isolation during days 4–10 after three subculture
cycles. Seeds of three sweet orange cultivars (C. sinensis)
i.e. ‘Early gold’, ‘Taoye’ and ‘Hongjiang’ were germinated
on MT basal medium containing 25 g/L sucrose and 8 g/L
agar (pH 5.8), and the fully expanded leaves were used for
mesophyll protoplast isolation.
Protoplast fusion and plant regeneration
Protoplast isolation was carried out according to Grosser
and Gmitter (1990). After being purified by 13 % mannitol/
Fig. 1 The strategy to create seedless cybrid by transferring Satsuma CMS to seedy varieties by symmetric fusion
82 Plant Cell Tiss Organ Cult (2014) 116:81–88
123
25 % sucrose gradient centrifugation, protoplasts of G1
callus were mixed with those of ‘Early gold’, ‘Taoye’ or
‘Hongjiang’ sweet oranges respectively at a one:two ratio.
Protoplast fusion was mediated using a somatic hybridizer
SSH-2 instrument (Shimadzu Somatic Hubridizer-2, Shi-
madzu, Japan) equipped with a 1.6 ml FTC-04 type elec-
trofusion chamber. The protoplasts of the three fusion
combinations were fused electrically following the proce-
dure of Cai et al. (2007). After electrofusion, protoplasts
from G1 ? ‘Early gold’, G1 ? ‘Taoye’ and G1 ? ‘Hon-
gjiang’ were resuspended in BH3 medium (Grosser and
Gmitter 1990) and adjusted to a density of 1 9 105/ml,
then cultured in BH3 medium. Protoplast culture and plant
regeneration were carried out according to Guo and Deng
(1998).
Ploidy analysis
The ploidy level of all regenerated plants was determined
by a flow cytometer (Cyflow space, Munster, Germany)
following the protocol described by Guo et al. (2007). The
root-tips of regenerated plants were collected for chromo-
some counting by staining with 40-6-diamidino-2-pheny-
lindole (DAPI) according to Xu et al. (2013). Image
acquisition was carried out with a fluorescent microscope
(Olympus BX 61, Japan) fitted with a CCD camera DP70,
with the excitation wavelength set as 360–370 nm, and
emission wavelength as 420 nm.
Molecular analysis of nuclear genome and cytoplasmic
DNA
Total DNA was isolated from the young leaves of regen-
erated plants and their corresponding parents following an
efficient protocol described by Cheng et al. (2003). The
PCR reaction was performed in a MJ-PTC-200 thermal
PCR cycler (MJ Research, Waltham Mass) according to
Cheng et al. (2006). Amplification products of SSR and
cpSSR analysis were denatured at 94 �C for 5 min, and
then an aliquot (4 ll) of each sample was analyzed by
6.0 % (w/v) denaturing polyacrylamide gels, followed by
silver staining of the gel as the protocol described in the
technical manual of Promega Corporation (USA).
Molecular analysis was performed using 126 SSR
primers mapping to the genome of sweet orange (http://
citrus.hzau.edu.cn/orange). Finally, six previously pub-
lished and 17 new primers from our program (Supple-
mental Table 1) that revealed polymorphism among the
corresponding parents were used to amplify nuclear DNA
according to Cheng et al. (2003). Locations of TAA15 and
the 17 new primers on sweet orange chromosomes were
confirmed by electronic PCR. At least two primer pairs
from each chromosome as well as some markers located in
multiple chromosomes (Supplemental Table 1) that
revealed polymorphism among the corresponding parents
were selected. To determine the inheritance pattern of
chloroplast DNA (cpDNA), two pre-screened primer pairs
NTCP9 and ARCP5 (Supplemental Table 2) were used for
cpSSR analysis.
For CAPS analysis of the mitochondrial genome of
regenerated plants and their corresponding parents,
mtDNA amplification using three mitochondrial primers
(Supplemental Table 2) was performed in a MJ-PTC-200
thermal PCR cycler (MJ Research, Waltham Mass).
Amplification fragments were digested as described by Cai
et al. (2007), and four different restriction endonucleases
AluI, MobI, TaqI and TasI were used.
Results
Protoplast culture and plant regeneration
After 40–90 days of protoplast culture, abundant callus
masses and a few viridescent embryoids appeared from the
three fusion combinations. Embryos were recovered from
all three combinations and transferred to EME1500 solid
medium to expedite growth and development. A large
number of green and vigorous shoots were developed from
the three fusion combinations after one to 2 months of
shoot-induction culture, and only one shoot from each
embryoid generated from the three fusion combinations
was transferred to root induction medium. Finally, 13
plants were recovered from the combination of
G1 ? ‘Early gold’, and they were classified into two
groups according to their leaf morphology, i.e., one of the
plants had round and thick leaves (Fig. 3c); while the
remaining 12 plants had leaf morphology similar to ‘Early
gold’ (Fig. 3c). As for the combination G1 ? ‘Taoye’, 12
plants were recovered, in which three had round and thick
leaves (Fig. 4c), and nine had leaf morphology similar to
‘Taoye’ (Fig. 4c). Only two plants with leaf morphology
similar to ‘Hongjiang’ were recovered from G1 ? ‘Hon-
gjiang’ (Table 1). All recovered plants were transferred to
greenhouse where they grow normally and vigorously
(Figs. 3a, b, 4a, b, 5a).
Ploidy level of recovered plants
Flow cytometry analysis confirmed that, of the regenerated
plants of the G1 ? ‘Early gold’, the regenerated plant with
round and thick leaves was tetraploid (Fig. 2c), the
remaining 12 plants had leaf morphology similar to ‘Early
gold’ were diploid. Similarly, of the regenerated plants of
G1 ? ‘Taoye’, three plants having round and thick leaves
were tetraploid (Fig. 2d), the remaining nine plants with
Plant Cell Tiss Organ Cult (2014) 116:81–88 83
123
leaf morphology similar to ‘Taoye’ were diploid. As
expected, the two regenerated plants of G1 ? ‘Hongjiang’
were diploid (Fig. 2b). Moreover, the root-tips of regen-
erated plants from G1 ? ‘Hongjiang’ were collected for
chromosome counting, which confirmed their diploidy
(2n = 2x = 18) (Fig. 5b).
Molecular analysis of recovered plants
All regenerated plants of the three fusion combinations
were selected for analysis of nuclear and cytoplasmic
genomes. Polymorphisms between the corresponding
fusion parents of the three combinations were detected
using SSR analysis with the 23 selected primer pairs. First,
TAA15 was applied to analyze the nuclear genome of the
regenerated plants of the three fusion combinations. The
result showed that among the recovered plants of any of the
three fusion combinations, irrespectively of their ploidy
level, all possess the same banding pattern as their meso-
phyll leaf parent, with no specific band of their suspension
parent G1 (data not shown), indicating that the nuclear
genome of hybrid plants obtained in our study derive from
their mesophyll leaf parent at TAA15 locus.
To further confirm their nuclear genome inheritance, 22
primers that had been mapped to the genome of sweet
orange were used for SSR analysis. According to their
distribution, at least two primer pairs locating on each
chromosome while some markers located in multiple
chromosomes (Supplemental Table 1) were applied in
nuclear genome analysis on the regenerated plants and their
parents. The results showed that all the recovered plants
from the three fusion combinations exhibited the same
banding pattern as their corresponding mesophyll parent
(Figs. 3f–h, 4e–h, 5e–h) using any of the 22 primer pairs.
Thus, our previous conclusion that all the recovered plants
in our study inherited their nuclear genome from their
corresponding mesophyll parent was confirmed.
The mtDNA primer pair/enzyme combination of 18S
rRNA-5S rRNA/TasI was used to analyze the mtDNA of
all the recovered plants as this primer pair/enzyme com-
bination revealed polymorphisms among the corresponding
parents. As a result, all the recovered plants (both diploid
and tetraploid plants) from the three combinations showed
the same banding pattern as their common suspension
parent G1 (Figs. 3d, 4d, 5c).
For the inheritance analysis of cpDNA, the primer pair
NTCP9 was used for cp-SSR analysis. The results showed
that the cpDNA of recovered plants from the three com-
binations possessed a random segregation pattern. For the
combination of G1 ? ‘Early gold’, four of twelve diploid
plants analyzed derived their cpDNA from ‘Early gold’,
while the other eight diploid plants and the tetraploid plant
analyzed derived their cpDNA from G1 (Fig. 3e). For the
combination of G1 ? ‘Taoye’, six of nine diploid plants
and all the three tetraploid plants analyzed derived their
cpDNA from ‘Taoye’, the remaining three diploid plants
Table 1 Parental combinations and number of recovered plants
Suspension
parent
Leaf parent Number of
recovered plants
Ploidy
level
G1 ‘Early gold’ sweet orange 12 2X
1 4X
‘Taoye’ sweet orange 9 2X
3 4X
‘Hongjiang’ sweet orange 2 2X
Fig. 2 Ploidy analysis by flow cytometry. a G1 (as a control);
b regenerated plants of G1 ? ‘Hongjiang’ sweet orange (PK1);
c regenerated plants of G1 ? ‘Early gold’ sweet orange, diploid
(PK1) and tetraploid (PK2); d regenerated plants of G1 ? ‘Taoye’
sweet orange, diploid (PK1) and tetraploid (PK2)
84 Plant Cell Tiss Organ Cult (2014) 116:81–88
123
analyzed derived their cpDNA from G1 (Fig. 4i). For the
combination of G1 ? ‘Hongjiang’, both diploid plants
derived their cpDNA from ‘Hongjiang’ (Fig. 5d).
In summary, all the recovered plants (both diploid and
tetraploid) from the three combinations derived their
nuclear DNA from their mesophyll parents, and mtDNA
from their common suspension parent G1, but the cpDNA
possessed a random pattern of segregation. The results
indicated that all the recovered plants from the three
combinations are true cybrids.
Discussion
Previous reports have demonstrated that in citrus cybrids
the nucleus always derives from their corresponding leaf
parent while mitochondria genome comes from their cor-
responding suspension parent (Guo et al. 2004; Fanciullino
et al. 2005; Guo et al. 2006; Cai et al. 2007; Bassene et al.
2011). However, few SSR primers were used to analyze the
nuclear genome preciously. In this study, 23 SSR primers
were used to analyze the nuclear genome. The results
showed that all the regenerated cybrids exhibited the same
banding pattern as their corresponding mesophyll parent to
all the SSR primers, indicating that all the regenerated
plants (both diploid and tetraploid) are true cybrids.
The molecular character of cybrids provides a novel
approach for citrus breeding. In citrus, cybridization can be
used as a strategy to transfer specific traits associated with
mitochondrial genome such as CMS without affecting the
main organoleptic and nutritional qualities (Bassene et al.
2008). Since most citrus species exhibit some level of
parthenocarpy, seedless fruits can develop normally. The
cybrid of G1 ? HBP (Guo et al. 2004) has male sterile
character and seedless fruits can set when planted in an
isolated area (Zheng et al. 2012). Sweet orange is a large-
scale planted elite species in the world’s citriculture, but
most varieties of ordinary sweet orange are seedy. Since
sweet orange is self-compatible and parthenocarpic, the
fusion of Satsuma mandarin with sweet orange will
regenerate cybrids with potential seedlessness. In this
study, 12, nine and two diploid cybrids were regenerated
Fig. 3 Leaf morphology and molecular analysis of regenerated plants
from G1 ? ‘Early gold’ sweet orange. a diploid cybrid plant;
b tetraploid cybrid plant; c Leaf morphology of diploid cybrid (right)
and tetraploid cybrid (left) of G1 ? ‘Early gold’ sweet orange; d mt-
CAPS analysis of regenerated plants from G1 ? ‘Early gold’ sweet
orange by universal primer of 18S rRNA-5S rRNA and digested with
TasI; e cp-SSR analysis of regenerated plants from G1 ? ‘Early gold’
sweet orange by NTCP9; f–h Nuclear SSR analysis of regenerated
plants from G1 ? ‘Early gold’ sweet orange by Csin.0349 (f),M1H2Si16887 (g) and M3H3Si763 (h). Lanes: M: 100 bp DNA
ladder; 1 ‘Early gold’ sweet orange; 2–13 diploid cybrids; 14
tetraploid cybrid; 15 G1 Satsuma mandarin. Bars 5 cm (a, b, c)
Plant Cell Tiss Organ Cult (2014) 116:81–88 85
123
from G1 ? ‘Early gold’, G1 ? ‘Taoye’ and G1 ? ‘Hon-
gjiang’ respectively. These diploid cybrids hold great
potential for the development of new seedless variety.
To date, citrus cybrids have been created in many fusion
combinations, but the regeneration mechanism is still not
clear. A possible mechanism is that after one mesophyll
protoplasts fuses with one suspension protoplast, the
nucleus of the suspension protoplast was eliminated during
the regeneration progress (Grosser et al. 1996). Incorpo-
ration into mesophyll protoplasts of mitochondria released
from ruptured embryogenic cells may be the second
mechanism for cybridization (Grosser et al. 1996). Both
mechanisms are possible and none is conclusive. Previous
reports suggested that somatic hybridization with G1 as the
embryonic callus parent had potential to facilitate regen-
eration of diploid cybrids (Cai et al. 2007). In fact, there
have been six diploid cybrids regenerated from the com-
bination with G1 as suspension parent (Guo et al. 2004; Cai
et al. 2007, 2009). In this study, all three fusion
combinations between G1 and different sweet orange cul-
tivars regenerated diploid cybrids.
Diploid cybrid regeneration via somatic hybridization in
citrus is not rare, but there were few reports on regeneration
of tetraploid cybrid-plants with doubled nuclear genome
from one parent and foreign cytoplasmic genome (Tusa
et al. 1990; Louzada et al. 1992; Grosser et al. 1996; Guo
et al. 2006; An et al. 2008; Grosser et al. 2010). The rareness
of tetraploid cybrids (that can be considered as autotetra-
ploid plants of the leaf parent with foreign cytoplasmic
genome) could be due to the fact that autotetraploids face
greater regeneration barriers than allotetraploid plants,
which showed some degree of hybrid vigor. In this study,
one and three tetraploid cybrids were regenerated from
G1 ? ‘Early gold’ and G1 ? ‘Taoye’, respectively. Inter-
estingly, for the combination of G1 ? ‘Taoye’, allotetra-
ploid somatic hybrids were also regenerated in our previous
fusion experiment (Fu et al. 2011) while in this study, both
diploid and tetraploid cybrids were regenerated. The
Fig. 4 Leaf morphology and molecular analysis of regenerated plants
from G1 ? ‘Taoye’ sweet orange. a diploid cybrid plant; b tetraploid
cybrid plant; c Leaf morphology of diploid cybrid (right) and tetraploid
cybrid (left) of G1 ? ‘Taoye’ sweet orange; d mt-CAPS analysis of
regenerated plants from G1 ? ‘Taoye’ sweet orange by universal
primer of 18S rRNA-5S rRNA and digested with TasI; e–h Nuclear SSR
analysis of regenerated plants from G1 ? ‘Taoye’’ sweet orange by
Csin.0191 (e), M1H2Si16887 (f), Csin.0349 (g) and M3H3Si763 (h);
i cp-SSR analysis of regenerated plants from G1 ? ‘Taoye’ sweet
orange by NTCP9. Lanes: M: 100 bp DNA ladder; 1 ‘Taoye’ sweet
orange; 2–10 diploid cybrids; 11–13 Tetraploid cybrids; 14 G1 Satsuma
mandarin. Bars 5 cm (a, b, c)
86 Plant Cell Tiss Organ Cult (2014) 116:81–88
123
regeneration mechanism of tetraploid cybrid remains poorly
understood. A hypothesis is that two mesophyll protoplasts
and one embryogenic protoplast were fused, and then the
nucleus of embryogenic protoplast was eliminated during
the regeneration progress (Grosser et al. 1996; Guo et al.
2006). But the most likely origin for tetraploid cybrid
regeneration might be that some seedlings for mesophyll
protoplast isolation are tetraploid themselves, since natural
nucellar autotetraploid development is common and exten-
sive across different citrus cultivars and species according to
Aleza et al. (2011). Similarly, our laboratory has recently
screened many natural nucellar autotetraploid plants from
over 20 different citrus cultivars and species (including
‘Early gold’ sweet orange used as leaf parent in this study)
by initial seedling morphology screening and subsequent
flow cytometry analysis (unpublished data).
Although the regeneration mechanism of diploid and
tetraploid cybrids is not clear, the cybrids have shown great
potential in citrus cultivar improvement, because cyto-
plasmic substitution could have positive effects on such
important agronomic traits as CMS (Yamamoto et al.
1997), aroma (Fanciullino et al. 2005), fruit taste and
nutritional quality (Bassene et al. 2008). Abbate et al.
(2012) analysed the fruits of hybrid plants obtained by
protoplast fusion of ‘Valencia’ sweet orange ? ‘Femmi-
nello’ lemon (embryogenic protoplast ? leaf protoplast),
and suggested that both diploid and tetraploid cybrids of
‘Valencia’ ? ‘Femminello’ could be new successful vari-
eties. In addition, the cybrid between Dancy mandarin and
Ruby grapefruit, which derived the nucleus from Ruby
grapefruit and the cytoplasm from Dancy mandarin, is very
late maturing by remaining firm with exceptional sweet-
ness and good flavor into August (Dr. Jude Grosser, per-
sonal commun.), indicating that cytoplasm substitution
could also have positive effects on such important agro-
nomic traits as harvest season. Thus, the cybrids of these
three combinations may show some attractive traits in
addition to seedlessness, and both diploid and tetraploid
cybrids could be new successful varieties.
In conclusion, the regenerated cybrid plants from these
three combinations provided precious materials for citrus
breeding. The diploid cybrids of these combinations hold
potential as new seedless varieties which will maintain the
good quality of their corresponding leaf parents. And the
tetraploid cybrids of G1 ? ‘Early gold’ and G1 ? ‘Taoye’
could also be new successful varieties or used as tetraploid
breeding parents.
Acknowledgments This research was financially supported by the
Ministry of Science & Technology of China (nos. 2011CB100606,
2011AA100205), the National NSF of China (nos. 31125024,
31221062), and the Fundamental Research Funds for the Central
Universities (No. 2013PY045).
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