Semiconservative transmission of DNA N 6-adenine methylation in a unicellular eukaryote.

Although DNA N 6-adenine methylation (6mA) is best known in prokaryotes, its presence in eukaryotes has recently generated great interest. Biochemical and genetic evidence supports that AMT1, an MT-A70 family methyltransferase (MTase), is crucial for 6mA deposition in unicellular eukaryotes. Nonetheless, the 6mA transmission mechanism remains to be elucidated. Taking advantage of single-molecule real-time circular consensus sequencing (SMRT CCS), here we provide definitive evidence for semiconservative transmission of 6mA in Tetrahymena thermophila In wild-type (WT) cells, 6mA occurs at the self-complementary ApT dinucleotide, mostly in full methylation (full-6mApT); after DNA replication, hemi-methylation (hemi-6mApT) is transiently present on the parental strand, opposite to the daughter strand readily labeled by 5-bromo-2'-deoxyuridine (BrdU). In ΔAMT1 cells, 6mA predominantly occurs as hemi-6mApT. Hemi-to-full conversion in WT cells is fast, robust, and processive, whereas de novo methylation in ΔAMT1 cells is slow and sporadic. In Tetrahymena, regularly spaced 6mA clusters coincide with the linker DNA of nucleosomes arrayed in the gene body. Importantly, in vitro methylation of human chromatin by the reconstituted AMT1 complex recapitulates preferential targeting of hemi-6mApT sites in linker DNA, supporting AMT1's intrinsic and autonomous role in maintenance methylation. We conclude that 6mA is transmitted by a semiconservative mechanism: full-6mApT is split by DNA replication into hemi-6mApT, which is restored to full-6mApT by AMT1-dependent maintenance methylation. Our study dissects AMT1-dependent maintenance methylation and AMT1-independent de novo methylation, reveals a 6mA transmission pathway with a striking similarity to 5-methylcytosine (5mC) transmission at the CpG dinucleotide, and establishes 6mA as a bona fide eukaryotic epigenetic mark.

Structure-guided functional suppression of AML-associated DNMT3A hotspot mutations.

DNA methyltransferases DNMT3A- and DNMT3B-mediated DNA methylation critically regulate epigenomic and transcriptomic patterning during development. The hotspot DNMT3A mutations at the site of Arg822 (R882) promote polymerization, leading to aberrant DNA methylation that may contribute to the pathogenesis of acute myeloid leukemia (AML). However, the molecular basis underlying the mutation-induced functional misregulation of DNMT3A remains unclear. Here, we report the crystal structures of the DNMT3A methyltransferase domain, revealing a molecular basis for its oligomerization behavior distinct to DNMT3B, and the enhanced intermolecular contacts caused by the R882H or R882C mutation. Our biochemical, cellular, and genomic DNA methylation analyses demonstrate that introducing the DNMT3B-converting mutations inhibits the R882H-/R882C-triggered DNMT3A polymerization and enhances substrate access, thereby eliminating the dominant-negative effect of the DNMT3A R882 mutations in cells. Together, this study provides mechanistic insights into DNMT3A R882 mutations-triggered aberrant oligomerization and DNA hypomethylation in AML, with important implications in cancer therapy.

A conformational selection mechanism of flavivirus NS5 for species-specific STAT2 inhibition.

Flaviviruses, including Zika virus (ZIKV) and Dengue virus (DENV), rely on their non-structural protein 5 (NS5) for both replication of viral genome and suppression of host IFN signaling. DENV and ZIKV NS5s were shown to facilitate proteosome-mediated protein degradation of human STAT2 (hSTAT2). However, how flavivirus NS5s have evolved for species-specific IFN-suppression remains unclear. Here we report structure-function characterization of the DENV serotype 2 (DENV2) NS5-hSTAT2 complex. The MTase and RdRP domains of DENV2 NS5 form an extended conformation to interact with the coiled-coil and N-terminal domains of hSTAT2, thereby promoting hSTAT2 degradation in cells. Disruption of the extended conformation of DENV2/ZIKV NS5, but not the alternative compact state, impaired their hSTAT2 binding. Our comparative structural analysis of flavivirus NS5s further reveals a conserved protein-interaction platform with subtle amino-acid variations likely underpinning diverse IFN-suppression mechanisms. Together, this study uncovers a conformational selection mechanism underlying species-specific hSTAT2 inhibition by flavivirus NS5.

Structural basis for the allosteric regulation and dynamic assembly of DNMT3B.

Oligomerization of DNMT3B, a mammalian de novo DNA methyltransferase, critically regulates its chromatin targeting and DNA methylation activities. However, how the N-terminal PWWP and ADD domains interplay with the C-terminal methyltransferase (MTase) domain in regulating the dynamic assembly of DNMT3B remains unclear. Here, we report the cryo-EM structure of DNMT3B under various oligomerization states. The ADD domain of DNMT3B interacts with the MTase domain to form an autoinhibitory conformation, resembling the previously observed DNMT3A autoinhibition. Our combined structural and biochemical study further identifies a role for the PWWP domain and its associated ICF mutation in the allosteric regulation of DNMT3B tetramer, and a differential functional impact on DNMT3B by potential ADD-H3K4me0 and PWWP-H3K36me3 bindings. In addition, our comparative structural analysis reveals a coupling between DNMT3B oligomerization and folding of its substrate-binding sites. Together, this study provides mechanistic insights into the allosteric regulation and dynamic assembly of DNMT3B.

TNRC18 engages H3K9me3 to mediate silencing of endogenous retrotransposons.

Trimethylation of histone H3 lysine 9 (H3K9me3) is crucial for the regulation of gene repression and heterochromatin formation, cell-fate determination and organismal development1. H3K9me3 also provides an essential mechanism for silencing transposable elements1-4. However, previous studies have shown that canonical H3K9me3 readers (for example, HP1 (refs. 5-9) and MPP8 (refs. 10-12)) have limited roles in silencing endogenous retroviruses (ERVs), one of the main transposable element classes in the mammalian genome13. Here we report that trinucleotide-repeat-containing 18 (TNRC18), a poorly understood chromatin regulator, recognizes H3K9me3 to mediate the silencing of ERV class I (ERV1) elements such as LTR12 (ref. 14). Biochemical, biophysical and structural studies identified the carboxy-terminal bromo-adjacent homology (BAH) domain of TNRC18 (TNRC18(BAH)) as an H3K9me3-specific reader. Moreover, the amino-terminal segment of TNRC18 is a platform for the direct recruitment of co-repressors such as HDAC-Sin3-NCoR complexes, thus enforcing optimal repression of the H3K9me3-demarcated ERVs. Point mutagenesis that disrupts the TNRC18(BAH)-mediated H3K9me3 engagement caused neonatal death in mice and, in multiple mammalian cell models, led to derepressed expression of ERVs, which affected the landscape of cis-regulatory elements and, therefore, gene-expression programmes. Collectively, we describe a new H3K9me3-sensing and regulatory pathway that operates to epigenetically silence evolutionarily young ERVs and exert substantial effects on host genome integrity, transcriptomic regulation, immunity and development.

DNA conformational dynamics in the context-dependent non-CG CHH methylation by plant methyltransferase DRM2.

DNA methylation provides an important epigenetic mechanism that critically regulates gene expression, genome imprinting, and retrotransposon silencing. In plants, DNA methylation is prevalent not only in a CG dinucleotide context but also in non-CG contexts, namely CHG and CHH (H = C, T, or A) methylation. It has been established that plant non-CG DNA methylation is highly context dependent, with the +1- and +2-flanking sequences enriched with A/T nucleotides. How DNA sequence, conformation, and dynamics influence non-CG methylation remains elusive. Here, we report structural and biochemical characterizations of the intrinsic substrate preference of DOMAINS REARRANGED METHYLTRANSFERASE 2 (DRM2), a plant DNA methyltransferase responsible for establishing all cytosine methylation and maintaining CHH methylation. Among nine CHH motifs, the DRM2 methyltransferase (MTase) domain shows marked substrate preference toward CWW (W = A or T) motifs, correlating well with their relative abundance in planta. Furthermore, we report the crystal structure of DRM2 MTase in complex with a DNA duplex containing a flexible TpA base step at the +1/+2-flanking sites of the target nucleotide. Comparative structural analysis of the DRM2-DNA complexes provides a mechanism by which flanking nucleotide composition impacts DRM2-mediated DNA methylation. Furthermore, the flexibility of the TpA step gives rise to two alternative DNA conformations, resulting in different interactions with DRM2 and consequently temperature-dependent shift of the substrate preference of DRM2. Together, this study provides insights into how the interplay between the conformational dynamics of DNA and temperature as an environmental factor contributes to the context-dependent CHH methylation by DRM2.

The FAM86 domain of FAM86A confers substrate specificity to promote EEF2-Lys525 methylation.

FAM86A is a class I lysine methyltransferase (KMT) that generates trimethylation on the eukaryotic translation elongation factor 2 (EEF2) at Lys525. Publicly available data from The Cancer Dependency Map project indicate high dependence of hundreds of human cancer cell lines on FAM86A expression. This classifies FAM86A among numerous other KMTs as potential targets for future anticancer therapies. However, selective inhibition of KMTs by small molecules can be challenging due to high conservation within the S-adenosyl methionine (SAM) cofactor binding domain among KMT subfamilies. Therefore, understanding the unique interactions within each KMT-substrate pair can facilitate developing highly specific inhibitors. The FAM86A gene encodes an N-terminal FAM86 domain of unknown function in addition to its C-terminal methyltransferase domain. Here, we used a combination of X-ray crystallography, the AlphaFold algorithms, and experimental biochemistry to identify an essential role of the FAM86 domain in mediating EEF2 methylation by FAM86A. To facilitate our studies, we also generated a selective EEF2K525 methyl antibody. Overall, this is the first report of a biological function for the FAM86 structural domain in any species and an example of a noncatalytic domain participating in protein lysine methylation. The interaction between the FAM86 domain and EEF2 provides a new strategy for developing a specific FAM86A small molecule inhibitor, and our results provide an example in which modeling a protein-protein interaction with AlphaFold expedites experimental biology.

Structure of DNMT3B homo-oligomer reveals vulnerability to impairment by ICF mutations.

DNA methyltransferase DNMT3B plays an essential role in establishment of DNA methylation during embryogenesis. Mutations of DNMT3B are associated with human diseases, notably the immunodeficiency, centromeric instability and facial anomalies (ICF) syndrome. How ICF mutations affect DNMT3B activity is not fully understood. Here we report the homo-oligomeric structure of DNMT3B methyltransferase domain, providing insight into DNMT3B-mediated DNA methylation in embryonic stem cells where the functional regulator DNMT3L is dispensable. The interplay between one of the oligomer interfaces (FF interface) and the catalytic loop renders DNMT3B homo-oligomer a conformation and activity distinct from the DNMT3B-DNMT3L heterotetramer, and a greater vulnerability to certain ICF mutations. Biochemical and cellular analyses further reveal that the ICF mutations of FF interface impair the DNA binding and heterochromatin targeting of DNMT3B, leading to reduced DNA methylation in cells. Together, this study provides a mechanistic understanding of DNMT3B-mediated DNA methylation and its dysregulation in disease.

SARS-CoV-2 Nucleocapsid Protein Targets a Conserved Surface Groove of the NTF2-like Domain of G3BP1.

Stress granule (SG) formation mediated by Ras GTPase-activating protein-binding protein 1 (G3BP1) constitutes a key obstacle for viral replication, which makes G3BP1 a frequent target for viruses. For instance, the SARS-CoV-2 nucleocapsid (N) protein interacts with G3BP1 directly to suppress SG assembly and promote viral production. However, the molecular basis for the SARS-CoV-2 N - G3BP1 interaction remains elusive. Here we report biochemical and structural analyses of the SARS-CoV-2 N - G3BP1 interaction, revealing differential contributions of various regions of SARS-CoV-2 N to G3BP1 binding. The crystal structure of the NTF2-like domain of G3BP1 (G3BP1NTF2) in complex with a peptide derived from SARS-CoV-2 N (residues 1-25, N1-25) reveals that SARS-CoV-2 N1-25 occupies a conserved surface groove of G3BP1NTF2 via surface complementarity. We show that a φ-x-F (φ, hydrophobic residue) motif constitutes the primary determinant for G3BP1NTF2-targeting proteins, while the flanking sequence underpins diverse secondary interactions. We demonstrate that mutation of key interaction residues of the SARS-CoV-2 N1-25 - G3BP1NTF2 complex leads to disruption of the SARS-CoV-2 N - G3BP1 interaction in vitro. Together, these results provide a molecular basis of the strain-specific interaction between SARS-CoV-2 N and G3BP1, which has important implications for the development of novel therapeutic strategies against SARS-CoV-2 infection.

Substrate deformation regulates DRM2-mediated DNA methylation in plants.

DNA methylation is a major epigenetic mechanism critical for gene expression and genome stability. In plants, domains rearranged methyltransferase 2 (DRM2) preferentially mediates CHH (H = C, T, or A) methylation, a substrate specificity distinct from that of mammalian DNA methyltransferases. However, the underlying mechanism is unknown. Here, we report structure-function characterization of DRM2-mediated methylation. An arginine finger from the catalytic loop intercalates into the nontarget strand of DNA through the minor groove, inducing large DNA deformation that affects the substrate preference of DRM2. The target recognition domain stabilizes the enlarged major groove via shape complementarity rather than base-specific interactions, permitting substrate diversity. The engineered DRM2 C397R mutation introduces base-specific contacts with the +2-flanking guanine, thereby shifting the substrate specificity of DRM2 toward CHG DNA. Together, this study uncovers DNA deformation as a mechanism in regulating the specificity of DRM2 toward diverse CHH substrates and illustrates methylome complexity in plants.

Chemoproteomic Approach toward Probing the Interactomes of Perfluoroalkyl Substances.

Poly- and perfluoroalkyl substances (PFASs) are widely used in industrial products and consumer goods. Due to their extremely recalcitrant nature and potential bioaccumulation and toxicity, exposure to PFASs may result in adverse health outcomes in humans and wildlife. In this study, we developed a chemoproteomic strategy, based on the use of isotope-coded desthiobiotin-perfluorooctanephosphonic acid (PFOPA) probe and liquid chromatography with tandem mass spectrometry (LC-MS/MS) analysis, to profile PFAS-binding proteins. Targeted proteins were labeled with the desthiobiotin-PFOPA probe, digested with trypsin, and the ensuing desthiobiotin-conjugated peptides were enriched with streptavidin beads for LC-MS/MS analysis. We were able to identify 469 putative PFOPA-binding proteins. By conducting competitive binding experiments using low (10 µM) and high (100 µM) concentrations of stable isotope-labeled PFOPA probes, we further identified 128 nonredundant peptides derived from 75 unique proteins that exhibit selective binding toward PFOPA. Additionally, we demonstrated that one of these proteins, fatty acid-binding protein 5 (FABP5), could interact directly with PFASs, including perfluorooctanoic acid (PFOA), perfluorooctanesulfonic acid (PFOS), perfluorohexanesulfonic acid (PFHxS), and perfluorobutanesulfonic acid (PFBS). Furthermore, desthiobiotin-labeled lysine residues are located close to the fatty acid-binding pocket of FABP5, and the binding affinity varies with the structures of PFASs. Taken together, we developed a novel chemoproteomic method for interrogating the PFAS-interacting proteome. The identification of these proteins sets the stage for understanding the mechanisms through which exposure to PFASs confers adverse human health effects.

Two conserved oligomer interfaces of NSP7 and NSP8 underpin the dynamic assembly of SARS-CoV-2 RdRP.

Replication of the ∼30 kb-long coronavirus genome is mediated by a complex of non-structural proteins (NSP), in which NSP7 and NSP8 play a critical role in regulating the RNA-dependent RNA polymerase (RdRP) activity of NSP12. The assembly of NSP7, NSP8 and NSP12 proteins is highly dynamic in solution, yet the underlying mechanism remains elusive. We report the crystal structure of the complex between NSP7 and NSP8 of SARS-CoV-2, revealing a 2:2 heterotetrameric form. Formation of the NSP7-NSP8 complex is mediated by two distinct oligomer interfaces, with interface I responsible for heterodimeric NSP7-NSP8 assembly, and interface II mediating the heterotetrameric interaction between the two NSP7-NSP8 dimers. Structure-guided mutagenesis, combined with biochemical and enzymatic assays, further reveals a structural coupling between the two oligomer interfaces, as well as the importance of these interfaces for the RdRP activity of the NSP7-NSP8-NSP12 complex. Finally, we identify an NSP7 mutation that differentially affects the stability of the NSP7-NSP8 and NSP7-NSP8-NSP12 complexes leading to a selective impairment of the RdRP activity. Together, this study provides deep insights into the structure and mechanism for the dynamic assembly of NSP7 and NSP8 in regulating the replication of the SARS-CoV-2 genome, with important implications for antiviral drug development.

BAHCC1 binds H3K27me3 via a conserved BAH module to mediate gene silencing and oncogenesis.

Trimethylated histone H3 lysine 27 (H3K27me3) regulates gene repression, cell-fate determination and differentiation. We report that a conserved bromo-adjacent homology (BAH) module of BAHCC1 (BAHCC1BAH) 'recognizes' H3K27me3 specifically and enforces silencing of H3K27me3-demarcated genes in mammalian cells. Biochemical, structural and integrated chromatin immunoprecipitation-sequencing-based analyses demonstrate that direct readout of H3K27me3 by BAHCC1 is achieved through a hydrophobic trimethyl-L-lysine-binding 'cage' formed by BAHCC1BAH, mediating colocalization of BAHCC1 and H3K27me3-marked genes. BAHCC1 is highly expressed in human acute leukemia and interacts with transcriptional corepressors. In leukemia, depletion of BAHCC1, or disruption of the BAHCC1BAH-H3K27me3 interaction, causes derepression of H3K27me3-targeted genes that are involved in tumor suppression and cell differentiation, leading to suppression of oncogenesis. In mice, introduction of a germline mutation at Bahcc1 to disrupt its H3K27me3 engagement causes partial postnatal lethality, supporting a role in development. This study identifies an H3K27me3-directed transduction pathway in mammals that relies on a conserved BAH 'reader'.

Molecular mechanism of mitochondrial phosphatidate transfer by Ups1.

Cardiolipin, an essential mitochondrial physiological regulator, is synthesized from phosphatidic acid (PA) in the inner mitochondrial membrane (IMM). PA is synthesized in the endoplasmic reticulum and transferred to the IMM via the outer mitochondrial membrane (OMM) under mediation by the Ups1/Mdm35 protein family. Despite the availability of numerous crystal structures, the detailed mechanism underlying PA transfer between mitochondrial membranes remains unclear. Here, a model of Ups1/Mdm35-membrane interaction is established using combined crystallographic data, all-atom molecular dynamics simulations, extensive structural comparisons, and biophysical assays. The α2-loop, L2-loop, and α3 helix of Ups1 mediate membrane interactions. Moreover, non-complexed Ups1 on membranes is found to be a key transition state for PA transfer. The membrane-bound non-complexed Ups1/ membrane-bound Ups1 ratio, which can be regulated by environmental pH, is inversely correlated with the PA transfer activity of Ups1/Mdm35. These results demonstrate a new model of the fine conformational changes of Ups1/Mdm35 during PA transfer.

Structural basis for STAT2 suppression by flavivirus NS5.

Suppressing cellular signal transducers of transcription 2 (STAT2) is a common strategy that viruses use to establish infections, yet the detailed mechanism remains elusive, owing to a lack of structural information about the viral-cellular complex involved. Here, we report the cryo-EM and crystal structures of human STAT2 (hSTAT2) in complex with the non-structural protein 5 (NS5) of Zika virus (ZIKV) and dengue virus (DENV), revealing two-pronged interactions between NS5 and hSTAT2. First, the NS5 methyltransferase and RNA-dependent RNA polymerase (RdRP) domains form a conserved interdomain cleft harboring the coiled-coil domain of hSTAT2, thus preventing association of hSTAT2 with interferon regulatory factor 9. Second, the NS5 RdRP domain also binds the amino-terminal domain of hSTAT2. Disruption of these ZIKV NS5-hSTAT2 interactions compromised NS5-mediated hSTAT2 degradation and interferon suppression, and viral infection under interferon-competent conditions. Taken together, these results clarify the mechanism underlying the functional antagonism of STAT2 by both ZIKV and DENV.

DNA sequence-dependent activity and base flipping mechanisms of DNMT1 regulate genome-wide DNA methylation.

DNA methylation maintenance by DNMT1 is an essential process in mammals but molecular mechanisms connecting DNA methylation patterns and enzyme activity remain elusive. Here, we systematically analyzed the specificity of DNMT1, revealing a pronounced influence of the DNA sequences flanking the target CpG site on DNMT1 activity. We determined DNMT1 structures in complex with preferred DNA substrates revealing that DNMT1 employs flanking sequence-dependent base flipping mechanisms, with large structural rearrangements of the DNA correlating with low catalytic activity. Moreover, flanking sequences influence the conformational dynamics of the active site and cofactor binding pocket. Importantly, we show that the flanking sequence preferences of DNMT1 highly correlate with genomic methylation in human and mouse cells, and 5-azacytidine triggered DNA demethylation is more pronounced at CpG sites with flanks disfavored by DNMT1. Overall, our findings uncover the intricate interplay between CpG-flanking sequence, DNMT1-mediated base flipping and the dynamic landscape of DNA methylation.

Comprehensive structure-function characterization of DNMT3B and DNMT3A reveals distinctive de novo DNA methylation mechanisms.

Mammalian DNA methylation patterns are established by two de novo DNA methyltransferases, DNMT3A and DNMT3B, which exhibit both redundant and distinctive methylation activities. However, the related molecular basis remains undetermined. Through comprehensive structural, enzymology and cellular characterization of DNMT3A and DNMT3B, we here report a multi-layered substrate-recognition mechanism underpinning their divergent genomic methylation activities. A hydrogen bond in the catalytic loop of DNMT3B causes a lower CpG specificity than DNMT3A, while the interplay of target recognition domain and homodimeric interface fine-tunes the distinct target selection between the two enzymes, with Lysine 777 of DNMT3B acting as a unique sensor of the +1 flanking base. The divergent substrate preference between DNMT3A and DNMT3B provides an explanation for site-specific epigenomic alterations seen in ICF syndrome with DNMT3B mutations. Together, this study reveals distinctive substrate-readout mechanisms of the two DNMT3 enzymes, implicative of their differential roles during development and pathogenesis.

Structure and regulation of ZCCHC4 in m6A-methylation of 28S rRNA.

N6-methyladenosine (m6A) modification provides an important epitranscriptomic mechanism that critically regulates RNA metabolism and function. However, how m6A writers attain substrate specificities remains unclear. We report the 3.1 Å-resolution crystal structure of human CCHC zinc finger-containing protein ZCCHC4, a 28S rRNA-specific m6A methyltransferase, bound to S-adenosyl-L-homocysteine. The methyltransferase (MTase) domain of ZCCHC4 is packed against N-terminal GRF-type and C2H2 zinc finger domains and a C-terminal CCHC domain, creating an integrated RNA-binding surface. Strikingly, the MTase domain adopts an autoinhibitory conformation, with a self-occluded catalytic site and a fully-closed cofactor pocket. Mutational and enzymatic analyses further substantiate the molecular basis for ZCCHC4-RNA recognition and a role of the stem-loop structure within substrate in governing the substrate specificity. Overall, this study unveils unique structural and enzymatic characteristics of ZCCHC4, distinctive from what was seen with the METTL family of m6A writers, providing the mechanistic basis for ZCCHC4 modulation of m6A RNA methylation.

METTL13 Methylation of eEF1A Increases Translational Output to Promote Tumorigenesis.

Increased protein synthesis plays an etiologic role in diverse cancers. Here, we demonstrate that METTL13 (methyltransferase-like 13) dimethylation of eEF1A (eukaryotic elongation factor 1A) lysine 55 (eEF1AK55me2) is utilized by Ras-driven cancers to increase translational output and promote tumorigenesis in vivo. METTL13-catalyzed eEF1A methylation increases eEF1A's intrinsic GTPase activity in vitro and protein production in cells. METTL13 and eEF1AK55me2 levels are upregulated in cancer and negatively correlate with pancreatic and lung cancer patient survival. METTL13 deletion and eEF1AK55me2 loss dramatically reduce Ras-driven neoplastic growth in mouse models and in patient-derived xenografts (PDXs) from primary pancreatic and lung tumors. Finally, METTL13 depletion renders PDX tumors hypersensitive to drugs that target growth-signaling pathways. Together, our work uncovers a mechanism by which lethal cancers become dependent on the METTL13-eEF1AK55me2 axis to meet their elevated protein synthesis requirement and suggests that METTL13 inhibition may constitute a targetable vulnerability of tumors driven by aberrant Ras signaling.

Author Correction: Targeted inhibition of STAT/TET1 axis as a therapeutic strategy for acute myeloid leukemia.

The original version of this Article contained an error in the spelling of the author James C. Mulloy, which was incorrectly given as James Mulloy. This has now been corrected in both the PDF and HTML versions of the Article.