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2.
Int J Biol Macromol ; 253(Pt 2): 126764, 2023 Dec 31.
Article in English | MEDLINE | ID: mdl-37696373

ABSTRACT

The elongation factor TFIIS interacts with Paf1C complex to facilitate processive transcription by Pol II. We here determined the crystal structure of the trypanosoma TFIIS LW domain in a complex with the LFG motif of Leo1, as well as the structures of apo-form TFIIS LW domains from trypanosoma, yeast and human. We revealed that all three TFIIS LW domains possess a conserved hydrophobic core that mediates their interactions with Leo1. Intriguingly, the structural study revealed that trypanosoma Leo1 binding induces the TFIIS LW domain to undergo a conformational change reflected in the length and orientation of α6 helix that is absent in the yeast and human counterparts. These differences explain the higher binding affinity of the TFIIS LW domain interacting with Leo1 in trypanosoma than in yeast and human, and indicate species-specific variations in the interactions. Importantly, the interactions between the TFIIS LW domain and an LFG motif of Leo1 were found to be critical for TFIIS to anchor the entire Paf1C complex. Thus, in addition to revealing a detailed structural basis for the TFIIS-Paf1C interaction, our studies also shed light on the origin and evolution of the roles of TFIIS and Paf1C complex in regulation of transcription elongation.


Subject(s)
Saccharomyces cerevisiae Proteins , Saccharomyces cerevisiae , Humans , Saccharomyces cerevisiae/metabolism , Transcriptional Elongation Factors/chemistry , RNA Polymerase II/chemistry , RNA Polymerase II/genetics , RNA Polymerase II/metabolism , Transcription, Genetic , RNA-Binding Proteins/metabolism , Saccharomyces cerevisiae Proteins/chemistry
3.
Nat Commun ; 13(1): 5769, 2022 10 01.
Article in English | MEDLINE | ID: mdl-36182935

ABSTRACT

Numerous RNAs are exported from the nucleus, abnormalities of which lead to cellular complications and diseases. How thousands of circular RNAs (circRNAs) are exported from the nucleus remains elusive. Here, we provide lines of evidence to demonstrate a link between the conserved Exportin 4 (XPO4) and nuclear export of a subset of circRNAs in metazoans. Exonic circRNAs (ecircRNAs) with higher expression levels, larger length, and lower GC content are more sensitive to XPO4 deficiency. Cellular insufficiency of XPO4 leads to nuclear circRNA accumulation, circRNA:DNA (ciR-loop) formation, linear RNA:DNA (liR-loop) buildup, and DNA damage. DDX39 known to modulate circRNA export can resolve ciR-loop, and splicing factors involved in the biogenesis of circRNAs can also affect the levels of ciR-loop. Testis and brain are two organs with high abundance of circRNAs, and insufficient XPO4 levels are detrimental, as Xpo4 heterozygous mice display male infertility and neural phenotypes. Increased levels of ciR-loop, R-loop, and DNA damage along with decreased cell numbers are observed in testis and hippocampus of Xpo4 heterozygotes. This study sheds light on the understandings of mechanism of circRNA export and reveals the significance of efficient nuclear export of circRNAs in cellular physiology.


Subject(s)
RNA, Circular , RNA , Animals , Karyopherins/genetics , Karyopherins/metabolism , Male , Mice , RNA/genetics , RNA/metabolism , RNA Splicing/genetics , RNA Splicing Factors/metabolism , RNA, Circular/genetics
4.
Front Psychol ; 13: 829032, 2022.
Article in English | MEDLINE | ID: mdl-35250770

ABSTRACT

This study examined the effects of opportunity to learn (OTL) or the content coverage in mathematics on student mathematics anxiety, problem-solving performance, and mathematics performance. The pathways examining the influences of OTL on student problem-solving performance and mathematics performance via mathematics anxiety were also tested. A sample of 1,676 students from Shanghai-China, and a sample of 1,511 students from the United States who participated in the Programme for International Student Assessment (PISA) 2012 were used for the analyses. The results from multilevel models and path models supported our hypotheses that OTL not only showed significant direct effects on student mathematics anxiety, problem-solving performance, and mathematics performance, but also presented indirect effects on student problem-solving performance and mathematics performance via mathematics anxiety in both Shanghai-China and United States, controlling for student gender, grade, and socioeconomic status. The practical implications of the current results were also discussed.

5.
Nature ; 602(7897): 523-528, 2022 02.
Article in English | MEDLINE | ID: mdl-35140398

ABSTRACT

A protein backbone structure is designable if a substantial number of amino acid sequences exist that autonomously fold into it1,2. It has been suggested that the designability of backbones is governed mainly by side chain-independent or side chain type-insensitive molecular interactions3-5, indicating an approach for designing new backbones (ready for amino acid selection) based on continuous sampling and optimization of the backbone-centred energy surface. However, a sufficiently comprehensive and precise energy function has yet to be established for this purpose. Here we show that this goal is met by a statistical model named SCUBA (for Side Chain-Unknown Backbone Arrangement) that uses neural network-form energy terms. These terms are learned with a two-step approach that comprises kernel density estimation followed by neural network training and can analytically represent multidimensional, high-order correlations in known protein structures. We report the crystal structures of nine de novo proteins whose backbones were designed to high precision using SCUBA, four of which have novel, non-natural overall architectures. By eschewing use of fragments from existing protein structures, SCUBA-driven structure design facilitates far-reaching exploration of the designable backbone space, thus extending the novelty and diversity of the proteins amenable to de novo design.


Subject(s)
Neural Networks, Computer , Proteins , Amino Acid Sequence , Models, Molecular , Protein Conformation , Proteins/chemistry
6.
Biophys J ; 121(4): 552-564, 2022 02 15.
Article in English | MEDLINE | ID: mdl-35063455

ABSTRACT

Our knowledge of the folding behavior of proteins from extremophiles is limited at this time. These proteins may more closely resemble the primordial proteins selected in early evolution under extreme conditions. The small archaeal modifier protein 1 (SAMP1) studied in this report is an 87-residue protein with a ß-grasp fold found in the halophile Haloferax volcanii from the Dead Sea. To gain insight into the effects of salt on the stability and folding mechanism of SAMP1, we conducted equilibrium and kinetic folding experiments as a function of sodium chloride concentration. The results revealed that increasing ionic strength accelerates refolding and slows down unfolding of SAMP1, giving rise to a pronounced salt-induced stabilization. With increasing NaCl concentration, the rate of folding observed via a combination of continuous-flow (0.1-2 ms time range) and stopped-flow measurements (>2 ms) exhibited a >100-fold increase between 0.1 and 1.5 M NaCl and leveled off at higher concentrations. Using the Linderström-Lang smeared charge formalism to model electrostatic interactions in ground and transition states encountered during folding, we showed that the observed salt dependence is dominated by Debye-Hückel screening of electrostatic repulsion among numerous negatively charged residues. Comparisons are also drawn with three well-studied mesophilic members of the ß-grasp superfamily: protein G, protein L, and ubiquitin. Interestingly, the folding rate of SAMP1 in 3 M sodium chloride is comparable to that of protein G, ubiquitin, and protein L at lower ionic strength. The results indicate the important role of electrostatic interactions in protein folding and imply that proteins have evolved to minimize unfavorable charge-charge interactions under their specific native conditions.


Subject(s)
Haloferax volcanii , Membrane Proteins/metabolism , Nuclear Proteins/metabolism , Ubiquitins , Haloferax volcanii/chemistry , Kinetics , Osmolar Concentration , Protein Folding , Sodium Chloride/pharmacology , Ubiquitin/chemistry , Ubiquitins/chemistry
7.
Biomol NMR Assign ; 16(1): 87-89, 2022 04.
Article in English | MEDLINE | ID: mdl-35060010

ABSTRACT

TFIIS is one of the best-characterized transcription elongation factors, with a domain I (named also as LW domain) in the N-terminus. It can relieve the arrest of RNA polymerase II (RNAP II) when the elongation of RNAP II is impaired. Here we report the resonance assignments of the protein backbone and side chains of the LW domain of TFIIS from S. cerevisiae, the secondary structure prediction indicates the ScTFIIS LW domain contains six α-helices with no ß-sheet, which will lay the foundation for the protein structure determination and function elucidation.


Subject(s)
Saccharomyces cerevisiae Proteins , Saccharomyces cerevisiae , Nuclear Magnetic Resonance, Biomolecular , Proteins , RNA Polymerase II/genetics , RNA Polymerase II/metabolism , Saccharomyces cerevisiae/metabolism , Saccharomyces cerevisiae Proteins/metabolism , Transcriptional Elongation Factors/chemistry
8.
Biochem Biophys Res Commun ; 589: 159-164, 2022 01 22.
Article in English | MEDLINE | ID: mdl-34922197

ABSTRACT

RNA modifications play important roles in mediating the biological functions of RNAs. 3-methylcytidine (m3C), albeit less abundant, is found to exist extensively in tRNAs, rRNAs and mRNAs. Human METTL6 is a m3C methyltransferase for tRNAs, including tRNASER(UGA). We solved the structure of human METTL6 in the presence of S-adenosyl-L-methionine and found by enzyme assay that recombinant human METTL6 is active towards tRNASER(UGA). Structural analysis indicated the detailed interactions between S-adenosyl-L-methionine and METTL6, and suggested potential tRNA binding region on the surface of METTL6. The structural research, complemented by biochemistry enzyme assay, will definitely shed light on the design of potent inhibitors for METTL6 in near future.


Subject(s)
Cytidine/analogs & derivatives , Methyltransferases/chemistry , Methyltransferases/metabolism , RNA/metabolism , Amino Acid Sequence , Cytidine/metabolism , Humans , Kinetics , Methylation , Structure-Activity Relationship
9.
Nat Commun ; 12(1): 5595, 2021 09 22.
Article in English | MEDLINE | ID: mdl-34552083

ABSTRACT

By incorporating two mutually exclusive factors, PID-1 and TOST-1, C. elegans PICS complex plays important roles in piRNA biogenesis, chromosome segregation and cell division. We firstly map the interaction network between PICS subunits, then uncover the mechanisms underlying the interactions between PICS subunits by solving several complex structures, including those of TOFU-6/PICS-1, ERH-2/PICS-1, and ERH-2/TOST-1. Our biochemical experiment also demonstrates that PICS exists as an octamer consisting of two copies of each subunit. Combining structural analyses with mutagenesis experiments, we identify interfacial residues of PICS subunits that are critical for maintaining intact PICS complex in vitro. Furthermore, using genetics, cell biology and imaging experiments, we find that those mutants impairing the in vitro interaction network within PICS, also lead to dysfunction of PICS in vivo, including mislocalization of PICS, and reduced levels of piRNAs or aberrant chromosome segregation and cell division. Therefore, our work provides structural insights into understanding the PICS-mediated piRNA biogenesis and cell division.


Subject(s)
Caenorhabditis elegans Proteins/chemistry , Cell Division , RNA, Small Interfering/biosynthesis , Animals , Caenorhabditis elegans , Caenorhabditis elegans Proteins/genetics , Caenorhabditis elegans Proteins/metabolism , Chromosome Segregation , Crystallography, X-Ray , Intracellular Space/metabolism , Multiprotein Complexes , Mutagenesis , Protein Binding , Protein Conformation , Protein Interaction Domains and Motifs , Protein Multimerization , Protein Subunits
10.
Front Psychol ; 12: 595935, 2021.
Article in English | MEDLINE | ID: mdl-34122210

ABSTRACT

Our current work seeks to provide direct empirical evidence on whether Chinese international students' experiences studying abroad promote dialectical thinking. We collected behavioral data from 258 Chinese international students studying in multiple regions. We found that there was a main effect among the four conditions (i.e., studying abroad, exposure to foreign culture, hometown, and typical day). More specifically, when primed with studying abroad or typical day (relative to hometown culture), participants were more likely to show tolerance for contradiction by deeming both sides of contradictory scientific statements as convincing and rating them more favorably. Therefore, it is plausible that Chinese international students' experiences studying abroad promote their dialectical thinking. More work is needed to further this line of research by (1) extending these effects with other measures of dialectical thinking such as perception of interconnectedness and prediction of change, (2) adopting differing paradigms to provide more robust findings, and (3) probing the underlying processes as to why experiences studying abroad promote dialectical thinking.

11.
J Struct Biol ; 213(3): 107751, 2021 09.
Article in English | MEDLINE | ID: mdl-34107324

ABSTRACT

Alba (Acetylation lowers binding affinity) domain is a small, dimeric nucleic acid-binding domain, which is widely distributed in archaea and numbers of eukaryotes. Alba domain containing proteins have been reported to be involved in many cellular processes, such as regulation of translation, maintaining genome stability, regulation of RNA processing and so on. In Trypanosoma brucei (T. brucei), there are four Alba proteins identified, which are named TbAlba1 to TbAlba4. However, the structure and function of TbAlba proteins are still unknown. Here, we solved the crystal structure of TbAlba1 to a resolution of 2.46 Å. TbAlba1 adopts a similar Alba-fold, which comprises of four ß-strands (ß1-ß4) and three long α-helices (α1-α3). Furthermore, TbAlba1 displays some structural features quite different from other Alba proteins. These differences may imply the diverse biological roles of Alba family members.


Subject(s)
Trypanosoma brucei brucei , Acetylation , Amino Acid Sequence , Protein Binding/genetics , Protein Processing, Post-Translational , Trypanosoma brucei brucei/metabolism
12.
Biochem Biophys Res Commun ; 557: 236-239, 2021 06 11.
Article in English | MEDLINE | ID: mdl-33892462

ABSTRACT

C-degrons play critical roles in targeting the receptor proteins of Cullin-RING E3 ligase complexes to initiate protein degradation. FEM1 proteins, including FEM1A, FEM1B, and FEM1C, act as the receptors to specifically recognize Arg/C-degrons to enable CRL2-mediated protein turnover. Very few substrates have been identified for FEM1B, except CDK5R1. We found that CRL2FEM1B also recognizes the C-degron of an SMCR8 isoform, and uncovered the recognition of SMCR8 by FEM1B through presenting the structure of FEM1B bound to SMCR8. Our work provides insights into the role of CRL2FEM1B in regulating the lifetime of SMCR8, a critical autophagy regulator.


Subject(s)
Carrier Proteins/chemistry , Cell Cycle Proteins/chemistry , Ubiquitin-Protein Ligases/chemistry , Carrier Proteins/genetics , Carrier Proteins/metabolism , Cell Cycle Proteins/genetics , Cell Cycle Proteins/metabolism , Crystallography, X-Ray , Gene Expression , Proteolysis , Ubiquitin-Protein Ligases/genetics , Ubiquitin-Protein Ligases/metabolism , Ubiquitination
13.
Nat Chem Biol ; 17(3): 254-262, 2021 03.
Article in English | MEDLINE | ID: mdl-33398168

ABSTRACT

Degrons are elements within protein substrates that mediate the interaction with specific degradation machineries to control proteolysis. Recently, a few classes of C-terminal degrons (C-degrons) that are recognized by dedicated cullin-RING ligases (CRLs) have been identified. Specifically, CRL2 using the related substrate adapters FEM1A/B/C was found to recognize C degrons ending with arginine (Arg/C-degron). Here, we uncover the molecular mechanism of Arg/C-degron recognition by solving a subset of structures of FEM1 proteins in complex with Arg/C-degron-bearing substrates. Our structural research, complemented by binding assays and global protein stability (GPS) analyses, demonstrates that FEM1A/C and FEM1B selectively target distinct classes of Arg/C-degrons. Overall, our study not only sheds light on the molecular mechanism underlying Arg/C-degron recognition for precise control of substrate turnover, but also provides valuable information for development of chemical probes for selectively regulating proteostasis.


Subject(s)
Arginine/chemistry , Carrier Proteins/chemistry , Cell Cycle Proteins/chemistry , Proteasome Endopeptidase Complex/metabolism , Ubiquitin-Protein Ligase Complexes/chemistry , Amino Acid Sequence , Arginine/metabolism , Binding Sites , Carrier Proteins/genetics , Carrier Proteins/metabolism , Cell Cycle Proteins/genetics , Cell Cycle Proteins/metabolism , Cloning, Molecular , Crystallography, X-Ray , Escherichia coli/genetics , Escherichia coli/metabolism , Gene Expression , Genetic Vectors/chemistry , Genetic Vectors/metabolism , HEK293 Cells , Humans , Models, Molecular , Protein Binding , Protein Conformation, alpha-Helical , Protein Conformation, beta-Strand , Protein Interaction Domains and Motifs , Proteolysis , Recombinant Proteins/chemistry , Recombinant Proteins/genetics , Recombinant Proteins/metabolism , Sequence Alignment , Sequence Homology, Amino Acid , Substrate Specificity , Ubiquitin-Protein Ligase Complexes/genetics , Ubiquitin-Protein Ligase Complexes/metabolism
14.
J Struct Biol ; 213(1): 107663, 2021 03.
Article in English | MEDLINE | ID: mdl-33207269

ABSTRACT

Plant Cysteine Oxidases (PCOs) play important roles in controlling the stability of Group VII ethylene response factors (ERF-VIIs) via Arg/N-degron pathway through catalyzing the oxidation of their N-Cys for subsequent Arginyl-tRNA--protein transferase 1 (ATE1) mediated arginine installation. Here we presented the crystal structures of PCO2, PCO4, and PCO5 from Arabidopsis thaliana (AtPCOs) and examined their in vitro activity by Mass spectrometry (MS). On the basis of Tris-bound AtPCO2, we modelled the structure of Cys-bound AtPCO2 and identified key AtPCO2 residues involved in N-Cys recognition and oxidation. Alanine substitution of potential N-Cys interaction residues impaired the activity of AtPCO5 remarkably. The structural research, complemented by mutagenesis and MS experiments, not only uncovers the substrate recognition and catalytic mode by AtPCOs, but also sheds light on the future design of potent inhibitors for plant cysteine oxidases.


Subject(s)
Arabidopsis Proteins/metabolism , Arabidopsis/metabolism , Cysteine Dioxygenase/metabolism , Cysteine/metabolism , Amino Acid Sequence , Arginine/metabolism , Oxidation-Reduction
15.
Biochem J ; 477(19): 3833-3838, 2020 10 16.
Article in English | MEDLINE | ID: mdl-32969463

ABSTRACT

Post-translational modifications play important roles in mediating protein functions in a wide variety of cellular events in vivo. HEMK2-TRMT112 heterodimer has been reported to be responsible for both histone lysine methylation and eukaryotic release factor 1 (eRF1) glutamine methylation. However, how HEMK2-TRMT112 complex recognizes and catalyzes eRF1 glutamine methylation is largely unknown. Here, we present two structures of HEMK2-TRMT112, with one bound to SAM and the other bound with SAH and methylglutamine (Qme). Structural analyses of the post-catalytic complex, complemented by mass spectrometry experiments, indicate that the HEMK2 utilizes a specific pocket to accommodate the substrate glutamine and catalyzes the subsequent methylation. Therefore, our work not only throws light on the protein glutamine methylation mechanism, but also reveals the dual activity of HEMK2 by catalyzing the methylation of both Lys and Gln residues.


Subject(s)
Glutamine/chemistry , Methyltransferases/chemistry , Site-Specific DNA-Methyltransferase (Adenine-Specific)/chemistry , Glutamine/metabolism , Humans , Methylation , Methyltransferases/metabolism , Protein Structure, Quaternary , Site-Specific DNA-Methyltransferase (Adenine-Specific)/metabolism
16.
J Struct Biol ; 212(1): 107580, 2020 10 01.
Article in English | MEDLINE | ID: mdl-32693018

ABSTRACT

Ubiquitin-like proteins are conserved in eukaryotes and involved in numerous cellular processes. Ufm1 is proved to play important roles in endoplasmic reticulum homeostasis, vesicle transportation and embryonic development. Enzyme cascade of Ufm1 is similar to that of ubiquitin. Mature Ufm1 is activated and conjugated to substrates by assistance of Ufm1 activating enzyme Uba5 (E1), Ufm1 conjugating enzyme Ufc1 (E2), and Ufm1 ligating enzyme Ufl1 (E3). Here, we determined the solution structure of TbUfm1 from Trypanosoma brucei (T. brucei) by NMR spectroscopy and explored the interactions between TbUfm1 and TbUba5/TbUfc1/TbUfl1. TbUfm1 adopts a typical ß-grasp fold, which partially wraps a central α-helix and the other two helixes. NMR chemical shift perturbation indicated that TbUfm1 interacts with TbUba5 via a hydrophobic pocket formed by α1α2ß1ß2. Although the structure and Uba5-interaction mode of TbUfm1 are conserved in Ufm1 proteins, there are also some differences, which might reflect the potential diversity of Ufm1 in evolution and biological functions.


Subject(s)
Proteins/metabolism , Trypanosoma brucei brucei/metabolism , Ubiquitin-Activating Enzymes/metabolism , Ubiquitin/metabolism , Amino Acid Sequence , Magnetic Resonance Spectroscopy/methods , Protein Conformation, alpha-Helical , Protein Structure, Secondary
17.
Biomol NMR Assign ; 14(2): 255-257, 2020 10.
Article in English | MEDLINE | ID: mdl-32488600

ABSTRACT

Q38FZ4 (UniProt accession number), is an 85-residue hypothetical protein from Trypanosoma brucei (T. brucei). Q38FZ4, which might be specific among the trypanosomatid genomes, shares low sequence similarity with mammal proteins and also has an essential function in the growth of T. brucei. Here we report the resonance assignments and secondary structure analysis of Q38FZ4 from T. brucei, which will lay the foundation for the protein structure determination and function elucidation.


Subject(s)
Carbon-13 Magnetic Resonance Spectroscopy , Proton Magnetic Resonance Spectroscopy , Protozoan Proteins/analysis , Trypanosoma brucei brucei/metabolism , Nitrogen Isotopes , Protein Structure, Secondary
18.
J Struct Biol ; 209(1): 107406, 2020 01 01.
Article in English | MEDLINE | ID: mdl-31747559

ABSTRACT

The essential SAS2-related acetyltransferase 1 (Esa1), as a acetyltransferase of MYST family, is indispensable for the cell cycle and transcriptional regulation. The Tudor domain consists of 60 amino acids and belongs to the Royal family, which serves as a module interacting with methylated histone and/or DNA. Although Tudor domain has been widely studied in higher eukaryotes, its structure and function remain unclear in Trypanosoma brucei (T. brucei), a protozoan unicellular parasite causing sleeping sickness in human and nagana in cattle in sub-Saharan Africa. Here, we determined a high-resolution structure of TbEsa1 presumed Tudor domain from T. brucei by X-ray crystallography. TbEsa1 Tudor domain adopts a conserved Tudor-like fold, which is comprised of a five-stranded ß-barrel surrounded by two short α-helices. Furthermore, we revealed a non-specific DNA binding pattern of TbEsa1 Tudor domain. However, TbEsa1 Tudor domain showed no methyl-histone binding ability, due to the absence of key aromatic residues forming a conserved aromatic cage.


Subject(s)
Histone Acetyltransferases/ultrastructure , Trypanosoma brucei brucei/ultrastructure , Trypanosomiasis, African/microbiology , Tudor Domain/genetics , Amino Acid Sequence/genetics , Animals , Binding Sites/genetics , Cattle , Crystallography, X-Ray , Histone Acetyltransferases/chemistry , Histone Acetyltransferases/genetics , Humans , Models, Molecular , Protein Binding/genetics , Trypanosoma brucei brucei/enzymology , Trypanosoma brucei brucei/genetics , Trypanosomiasis, African/enzymology , Trypanosomiasis, African/genetics
19.
Biochem Biophys Res Commun ; 518(4): 678-684, 2019 10 22.
Article in English | MEDLINE | ID: mdl-31472957

ABSTRACT

N6-methyladenosine (m6A) "readers" play an important role in mRNA functions and metabolism. YTHDC2, as one of the m6A readers, controls fertileness through decreasing associated mRNA abundance and enhancing the translation efficiency of related mRNA via binding the targeted m6A RNA. However, how YTH domain of YTHDC2 recognize m6A RNA is still unknown. In this study, we determined the crystal structure of human YTHDC2 YTH domain, which adopts similar architecture to other solved YTH domain structures. YTHDC2 contains a conserved m6A binding pocket, and similar RNA binding surface shared by YTHDC1.


Subject(s)
Adenosine/analogs & derivatives , Protein Domains , RNA Helicases/chemistry , RNA-Binding Proteins/chemistry , RNA/chemistry , Adenosine/metabolism , Amino Acid Sequence , Binding Sites/genetics , Crystallography, X-Ray , Humans , Models, Molecular , Protein Binding , RNA/genetics , RNA/metabolism , RNA Helicases/genetics , RNA Helicases/metabolism , RNA-Binding Proteins/genetics , RNA-Binding Proteins/metabolism , Sequence Homology, Amino Acid
20.
Cell Res ; 29(9): 778, 2019 Sep.
Article in English | MEDLINE | ID: mdl-31395957

ABSTRACT

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

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