Orienting domains in proteins using dipolar couplings measured by liquid-state NMR: differences in solution and crystal forms of maltodextrin binding protein loaded with beta-cyclodextrin

Protein function is often regulated by conformational changes that occur in response to ligand binding or covalent modification such as phosphorylation. In many multidomain proteins these conformational changes involve reorientation of domains within the protein. Although X-ray crystallography can be used to determine the relative orientation of domains, the crystal-state conformation can reflect the effect of crystal packing forces and therefore may differ from the physiologically relevant form existing in solution. Here we demonstrate that the solution-state conformation of a multidomain protein can be obtained from its X-ray structure using an extensive set of dipolar couplings measured by triple-resonance multidimensional NMR spectroscopy in weakly aligning solvent. The solution-state conformation of the 370-residue maltodextrin-binding protein (MBP) loaded with beta-cyclodextrin has been determined on the basis of one-bond (15)N-H(N), (15)N-(13)C', (13)C(alpha)-(13)C', two-bond (13)C'-H(N), and three-bond (13)C(alpha)-H(N) dipolar couplings measured for 280, 262, 276, 262, and 276 residues, respectively. This conformation was generated by applying hinge rotations to various X-ray structures of MBP seeking to minimize the difference between the experimentally measured and calculated dipolar couplings. Consistent structures have been derived in this manner starting from four different crystal forms of MBP. The analysis has revealed substantial differences between the resulting solution-state conformation and its crystal-state counterpart (Protein Data Bank accession code 1DMB) with the solution structure characterized by an 11(+/-1) degrees domain closure. We have demonstrated that the precision achieved in these analyses is most likely limited by small uncertainties in the intradomain structure of the protein (ca 5 degrees uncertainty in orientation of internuclear vectors within domains). In addition, potential effects of interdomain motion have been considered using a number of different models and it was found that the structures derived on the basis of dipolar couplings accurately represent the effective average conformation of the protein.     

What is the average conformation of bacteriophage T4 lysozyme in solution? A domain orientation study using dipolar couplings measured by solution NMR

Lysozyme from T4 bacteriophage is comprised of two domains that are both involved in binding substrate. Although wild-type lysozyme has been exclusively crystallized in a closed form that is similar to the peptidoglycan-bound conformation, a more open structure is thought to be required for ligand binding. To determine the relative arrangement of domains within T4 lysozyme in the solution state, dipolar couplings were measured in several different dilute liquid crystalline media by solution NMR methods. The dipolar coupling data were analyzed with a domain orientation procedure described previously that utilizes high- resolution X-ray structures. The cleft between the domains is significantly larger in the average solution structure than what is observed in the X-ray structure of the ligand-free form of the protein (approximately 17 degrees closure from solution to X-ray structures). A comparison of the solution domain orientation with X-ray-derived structures in the protein data base shows that the solution structure resembles a crystal structure obtained for the M6I mutant. Dipolar couplings were also measured on the lysozyme mutant T21C/T142C, which was oxidized to form an inter-domain disulfide bond (T4SS). In this case, the inter-domain solution structure was found to be more closed than was observed in the crystal (approximately 11 degrees). Direct refinement of lysozyme crystal structures with the measured dipolar couplings using the program CNS, establishes that this degree of closure can be accommodated whilst maintaining the inter-domain cystine bond. The differences between the average solution conformations obtained using dipolar couplings and the crystal conformations for both forms of lysozyme investigated in this study illustrate the impact that crystal packing interactions can have on the arrangement of domains within proteins and the importance of alternative methods to X-ray crystallography for evaluating inter-domain structure.     

High-resolution X-ray and NMR structures of the SMN Tudor domain: conformational variation in the binding site for symmetrically dimethylated arginine residues

The SMN protein, which is linked to spinal muscular atrophy (SMA), plays an important role in the assembly of the spliceosomal small nuclear ribonucleoprotein complexes. This function requires binding of SMN to the arginine-glycine (RG) rich C-terminal tails of the Sm proteins, which contain symmetrically dimethylated arginine residues (sDMA) in vivo. Using NMR titrations, we show that the SMN Tudor domain recognizes these sDMAs in the methylated RG repeats. Upon complex formation a cluster of conserved aromatic residues in the SMN Tudor domain interacts with the sDMA methyl groups. We present two high resolution structures of the uncomplexed SMN Tudor domain, a 1.8A crystal structure and an NMR structure that has been refined against a large number of backbone and side-chain residual dipolar couplings. The backbone conformation of both structures is very similar, however, differences are observed for the cluster of conserved aromatic side-chains in the sDMA binding pocket. In order to validate these variations we introduce a novel application of residual dipolar couplings for aromatic rings. We show that structural information can be derived from aromatic ring residual dipolar couplings, even in the presence of internal motions such as ring flipping. These residual dipolar couplings and ring current shifts independently confirm that the SMN Tudor domain adopts two different conformations in the sDMA binding pocket. The observed structural variations may play a role for the recognition of sDMAs.     

Solution structure of Ca(2+)-calmodulin reveals flexible hand-like properties of its domains.

The solution structure of Ca(2+)-ligated calmodulin is determined from residual dipolar couplings measured in a liquid crystalline medium and from a large number of heteronuclear J couplings for defining side chains. Although the C-terminal domain solution structure is similar to the X-ray crystal structure, the EF hands of the N-terminal domain are considerably less open. The substantial differences in interhelical angles correspond to negligible changes in short interproton distances and, therefore, cannot be identified by comparison of NOEs and X-ray data. NOE analysis, however, excludes a two-state equilibrium in which the closed apo conformation is partially populated in the Ca(2+)-ligated state. The difference between the crystal and solution structures of Ca(2+)-calmodulin indicates considerable backbone plasticity within the domains of calmodulin, which is key to their ability to bind a wide range of targets. In contrast, the vast majority of side chains making up the target binding surface are locked into the same chi(1) rotameric states as in complexes with target peptide.     

The global conformation of the hammerhead ribozyme determined using residual dipolar couplings

The global structure of the hammerhead ribozyme was determined in the absence of Mg(2+) by solution NMR experiments. The hammerhead ribozyme motif forms a branched structure consisting of three helical stems connected to a catalytic core. The (1)H-(15)N and (1)H-(13)C residual dipolar couplings were measured in a set of differentially (15)N/(13)C-labeled ribozymes complexed with an unlabeled noncleavable substrate. The residual dipolar couplings provide orientation information on both the local and the global structure of the molecule. Analysis of the residual dipolar couplings demonstrated that the local structure of the three helical stems in solution is well modeled by an A-form conformation. However, the global structure of the hammerhead in solution in the absence of Mg(2+) is not consistent with the Y-shaped conformation observed in crystal structures of the hammerhead. The residual dipolar couplings for the helical stems were combined with standard NOE and J coupling constant NMR data from the catalytic core. The NOE data show formation of sheared G-A base pairs in domain 2. These NMR data were used to determine the global orientation of the three helical stems in the hammerhead. The hammerhead forms a rather extended structure under these conditions with a large angle between stems I and II ( approximately 153 degrees ), a smaller angle between stems II and III ( approximately 100 degrees ), and the smallest angle between stems I and III ( approximately 77 degrees ). The residual dipolar coupling data also contain information on the dynamics of the molecule and were used here to provide qualitative information on the flexibility of the helical domains in the hammerhead ribozyme-substrate complex.     

Structural characterization of unfolded states of apomyoglobin using residual dipolar couplings

The conformational propensities of unfolded states of apomyoglobin have been investigated by measurement of residual dipolar couplings between (15)N and (1)H in backbone amide groups. Weak alignment of apomyoglobin in acid and urea-unfolded states was induced with both stretched and compressed polyacrylamide gels. In 8 M urea solution at pH 2.3, conditions under which apomyoglobin contains no detectable secondary or tertiary structure, significant residual dipolar couplings of uniform sign were observed for all residues. At pH 2.3 in the absence of urea, a change in the magnitude and/or sign of the residual dipolar couplings occurs in local regions of the polypeptide where there is a high propensity for helical secondary structure. These results are interpreted on the basis of the statistical properties of the unfolded polypeptide chain, viewed as a polymer of statistical segments. For a folded protein, the magnitude and sign of the residual dipolar couplings depend on the orientation of each bond vector relative to the alignment tensor of the entire molecule, which reorients as a single entity. For unfolded proteins, there is no global alignment tensor; instead, residual dipolar couplings are attributed to alignment of the statistical segments or of transient elements of secondary structure. For apomyoglobin in 8 M urea, the backbone is highly extended, with phi and psi dihedral angles favoring the beta or P(II) regions. Each statistical segment has a highly anisotropic shape, with the N-H bond vectors approximately perpendicular to the long axis, and becomes weakly aligned in the anisotropic environment of the strained acrylamide gels. Local regions of enhanced flexibility or chain compaction are characterized by a decrease in the magnitude of the residual dipolar couplings. The formation of a small population of helical structure in the acid-denatured state of apomyoglobin leads to a change in sign of the residual dipolar couplings in local regions of the polypeptide; the population of helix estimated from the residual dipolar couplings is in excellent agreement with that determined from chemical shifts. The alignment model described here for apomyoglobin can also explain the pattern of residual dipolar couplings reported previously for denatured states of staphylococcal nuclease and other proteins. In conjunction with other NMR experiments, residual dipolar couplings can provide valuable insights into the dynamic conformational propensities of unfolded and partly folded states of proteins and thereby help to chart the upper reaches of the folding landscape.     

Structural characterization of a mannose-binding protein-trimannoside complex using residual dipolar couplings

The ligand-binding properties of a 53 kDa homomultimeric trimer from mannose-binding protein (MBP) have been investigated using residual dipolar couplings (RDCs) that are easily measured from NMR spectra of the ligand and isotopically labeled protein. Using a limited set of 1H-15N backbone amide NMR assignments for MBP and orientational information derived from the RDC measurements in aligned media, an order tensor for MBP has been determined that is consistent with symmetry-based predictions of an axially symmetric system. 13C-1H couplings for a bound trisaccharide ligand, methyl 3,6-di-O-(alpha-D-mannopyranosyl)-alpha-D-mannopyranoside (trimannoside) have been determined at natural abundance and used as orientational constraints. The bound ligand geometry and orientational constraints allowed docking of the trimannoside ligand in the binding site of MBP to produce a structural model for MBP-oligosaccharide interactions.     

Conformational differences in liganded and unliganded states of Galectin-3

The conformation of the carbohydrate recognition domain of Galectin-3, a lectin known to bind galactose containing oligosaccharides in mammalian systems, has been investigated in the absence of ligand and in the presence of N-acetylactosamine. A new methodology based on the measurement of residual dipolar couplings from NMR spectra has been used to characterize differences in protein structure along the backbone in the presence and absence of ligand, as well as the binding geometry of the ligand itself. The data on the ligand are consistent with the ligand binding geometry found in a crystal structure of the complexed state. However, a significant rearrangement of backbone loops near the binding site appears to occur in the absence of ligand. The implications for ligand specificity and protein functionality are discussed.     

Global folds of proteins with low densities of NOEs using residual dipolar couplings: application to the 370-residue maltodextrin-binding protein

The global fold of maltose-binding protein in complex with the substrate beta-cyclodextrin was determined by solution NMR methods. The two-domain protein is comprised of a single polypeptide chain of 370 residues, with a molecular mass of 42 kDa. Distance information in the form of H(N)-H(N), H(N)-CH(3) and CH(3)-CH(3) NOEs was recorded on (15)N, (2)H and (15)N, (13)C, (2)H-labeled proteins with methyl protonation in Val, Leu, and Ile (C(delta1) only) residues. Distances to methyl protons, critical for the structure determination, comprised 77 % of the long-range restraints. Initial structures were calculated on the basis of 1943 NOEs, 48 hydrogen bond and 555 dihedral angle restraints. A global pair-wise backbone rmsd of 5.5 A was obtained for these initial structures with rmsd values for the N and C domains of 2.4 and 3.8 A, respectively. Direct refinement against one-bond (1)H(N)-(15)N, (13)C(alpha)-(13)CO, (15)N-(13)CO, two-bond (1)H(N)-(13)CO and three-bond (1)H(N)-(13)C(alpha) dipolar couplings resulted in structures with large numbers of dipolar restraint violations. As an alternative to direct refinement against measured dipolar couplings we have developed an approach where discrete orientations are calculated for each peptide plane on the basis of the dipolar couplings described above. The orientation which best matches that in initial NMR structures calculated from NOE and dihedral angle restraints exclusively is used to refine further the structures using a new module written for CNS. Modeling studies from four different proteins with diverse structural motifs establishes the utility of the methodology. When applied to experimental data recorded on MBP the precision of the family of structures generated improves from 5.5 to 2.2 A, while the rmsd with respect to the X-ray structure (1dmb) is reduced from 5.1 to 3.3 A.     

A graphical method for analyzing distance restraints using residual dipolar couplings for structure determination of symmetric protein homo-oligomers

High-resolution structure determination of homo-oligomeric protein complexes remains a daunting task for NMR spectroscopists. Although isotope-filtered experiments allow separation of intermolecular NOEs from intramolecular NOEs and determination of the structure of each subunit within the oligomeric state, degenerate chemical shifts of equivalent nuclei from different subunits make it difficult to assign intermolecular NOEs to nuclei from specific pairs of subunits with certainty, hindering structural analysis of the oligomeric state. Here, we introduce a graphical method, DISCO, for the analysis of intermolecular distance restraints and structure determination of symmetric homo-oligomers using residual dipolar couplings. Based on knowledge that the symmetry axis of an oligomeric complex must be parallel to an eigenvector of the alignment tensor of residual dipolar couplings, we can represent distance restraints as annuli in a plane encoding the parameters of the symmetry axis. Oligomeric protein structures with the best restraint satisfaction correspond to regions of this plane with the greatest number of overlapping annuli. This graphical analysis yields a technique to characterize the complete set of oligomeric structures satisfying the distance restraints and to quantitatively evaluate the contribution of each distance restraint. We demonstrate our method for the trimeric E. coli diacylglycerol kinase, addressing the challenges in obtaining subunit assignments for distance restraints. We also demonstrate our method on a dimeric mutant of the immunoglobulin-binding domain B1 of streptococcal protein G to show the resilience of our method to ambiguous atom assignments. In both studies, DISCO computed oligomer structures with high accuracy despite using ambiguously assigned distance restraints.     

Ligand-free and -bound structures of the binding protein (LivJ) of the Escherichia coli ABC leucine/isoleucine/valine transport system: trajectory and dynamics of the interdomain rotation and ligand specificity

The leucine/isoleucine/valine-binding protein (LIVBP or LivJ) serves as the primary high-affinity receptor of the Escherichia coli ABC-type transporter for the three aliphatic amino acids. The first structure of LIVBP determined previously without bound ligand showed a molecule comprised of two domains which are far apart and bisected by a wide open, solvent-accessible cleft. Here we report the crystal structures of another ligand-free state and three complexes with the aliphatic amino acids. In the present ligand-free structure, the two domains are farther apart. In the three very similar complex structures, the two domains are in close proximity, and each desolvated ligand is completely engulfed in the cleft and bound by both domains. The two different ligand-free structures, combined with those of the very similar ligand-bound structures, indicate the trajectory and backbone torsion angle changes of the hinges that accompany domain closure and play crucial functional roles. The amino acids are bound by polar and nonpolar interactions, occurring predominantly in one domain. Consistent with the protein specificity, the aliphatic side chains of the ligands lie in a hydrophobic pocket fully formed following domain or cleft closure. Comparison of the structures of LIVBP with several different binding proteins indicates no correlations between the magnitudes of the hinge-bending angles and the protein masses, the ligand sizes, or the number of segments connecting the two domains. Results of normal-mode analysis and molecular dynamics simulations are consistent with the trajectory and intrinsic flexibility of the interdomain hinges and the dominance of one domain in ligand binding in the open state.     

Solution structure of the 40,000 Mr phosphoryl transfer complex between the N-terminal domain of enzyme I and HPr

The solution structure of the first protein-protein complex of the bacterial phosphoenolpyruvate: sugar phosphotransferase system between the N-terminal domain of enzyme I (EIN) and the histidine-containing phosphocarrier protein HPr has been determined by NMR spectroscopy, including the use of residual dipolar couplings that provide long-range structural information. The complex between EIN and HPr is a classical example of surface complementarity, involving an essentially all helical interface, comprising helices 2, 2', 3 and 4 of the alpha-subdomain of EIN and helices 1 and 2 of HPr, that requires virtually no changes in conformation of the components relative to that in their respective free states. The specificity of the complex is dependent on the correct placement of both van der Waals and electrostatic contacts. The transition state can be formed with minimal changes in overall conformation, and is stabilized in favor of phosphorylated HPr, thereby accounting for the directionality of phosphoryl transfer.     

Recognition of protein folds via dipolar couplings

Alignment of proteins in dilute liquid crystalline medium gives rise to residual dipolar couplings which provide orientational information of vectors connecting the interacting nuclei. Considering that proteins are mainly composed of regular secondary structures in a finite number of different mutual orientations, main chain dipolar couplings appear sufficient to reveal structural resemblance. Similarity between dipolar couplings measured from a protein and corresponding values computed from a known structure imply homologous structures. For dissimilar structures the agreement between experimental and calculated dipolar couplings remains poor. In this way protein folds can be readily recognized prior to a comprehensive structure determination. This approach has been demonstrated by showing the similarity in fold between the hitherto unknown structure of calerythrin and sarcoplasmic calcium-binding proteins from Nereis diversicolor and Branchiostoma lanceolatum with known crystal structures.     

The utility of residual dipolar couplings in detecting motion in carbohydrates: application to sucrose

The solution structure and dynamics of sucrose are examined using a combination of NMR residual dipolar coupling and molecular mechanics force fields. It is found that the alignment tensors of the individual rings are different, and that fitting 35 measured residual dipolar couplings to structures with specific phi, psi values indicates the presence of three major conformations: phi, psi=(120 degrees ,270 degrees), (45 degrees, 300 degrees) and (90 degrees ,180 degrees). Furthermore, fitting two structures simultaneously to the 35 residual dipolar couplings results in a substantial improvement in the fits. The existence of multiple conformations having similar stabilities is a strong indication of motion, due to the interconversion among these states. Results from four molecular mechanics force fields are in general agreement with the experimental results. However, there are major disagreements between force fields. Because fits of residual dipolar couplings to structures are dependent on the force field used to calculate the structures, multiple force fields were used to interpret NMR data. It is demonstrated that the pucker of the fructofuranosyl ring affects the calculated potential energy surface, and the fit to the residual dipolar couplings data. Previously published 13C nuclear relaxation results suggesting that sucrose is rigid are not inconsistent with the present results when motional timescales are considered.     

Improvement of hydrogen bond geometry in protein NMR structures by residual dipolar couplings – an assessment of the interrelation of NMR restraints

We have examined how the hydrogen bond geometry in three different proteins is affected when structural restraints based on measurements of residual dipolar couplings are included in the structure calculations. The study shows, that including restraints based solely on (1)H(N)-(15)N residual dipolar couplings has pronounced impact on the backbone rmsd and Ramachandran plot but does not improve the hydrogen bond geometry. In the case of chymotrypsin inhibitor 2 the addition of (13)CO-(13)C(alpha) and (15)N-(13)CO one bond dipolar couplings as restraints in the structure calculations improved the hydrogen bond geometry to a quality comparable to that obtained in the 1.8 A resolution X-ray structure of this protein. A systematic restraint study was performed, in which four types of restraints, residual dipolar couplings, hydrogen bonds, TALOS angles and NOEs, were allowed in two states. This study revealed the importance of using several types of residual dipolar couplings to get good hydrogen bond geometry. The study also showed that using a small set of NOEs derived only from the amide protons, together with a full set of residual dipolar couplings resulted in structures of very high quality. When reducing the NOE set, it is mainly the side-chain to side-chain NOEs that are removed. Despite of this the effect on the side-chain packing is very small when a reduced NOE set is used, which implies that the over all fold of a protein structure is mainly determined by correct folding of the backbone.     

Quaternary structure built from subunits combining NMR and small-angle x-ray scattering data

A new principle in constructing molecular complexes from the known high-resolution domain structures joining data from NMR and small-angle x-ray scattering (SAXS) measurements is described. Structure of calmodulin in complex with trifluoperazine was built from N- and C-terminal domains oriented based on residual dipolar couplings measured by NMR in a dilute liquid crystal, and the overall shape of the complex was derived from SAXS data. The residual dipolar coupling data serves to reduce angular degrees of freedom, and the small-angle scattering data serves to confine the translational degrees of freedom. The complex built by this method was found to be consistent with the known crystal structure. The study demonstrates how approximate tertiary structures of modular proteins or quaternary structures composed of subunits can be assembled from high-resolution structures of domains or subunits using mutually complementary NMR and SAXS data.     

Incorporating residual dipolar couplings into the NMR solution structure determination of nucleic acids

NMR solution structures of nucleic acids are generally less well defined than similar-sized proteins. Most NMR structures of nucleic acids are defined only by short-range interactions, such as intrabase-pair or sequential nuclear Overhauser effects (NOEs), and J-coupling constants, and there are no long-range structural data on the tertiary structure. Residual dipolar couplings represent an extremely valuable source of distance and angle information for macromolecules but they average to zero in isotropic solutions. With the recent advent of general methods for partial alignment of macromolecules in solution, residual dipolar couplings are rapidly becoming indispensable constraints for solution NMR structural studies. These residual dipolar couplings give long-range global structural information and thus complement the strictly local structural data obtained from standard NOE and torsion angle constraints. Such global structural data are especially important in nucleic acids due to the more elongated, less-globular structure of many DNAs and RNAs. Here we review recent progress in application of residual dipolar couplings to structural studies of nucleic acids. We also present results showing how refinement procedures affect the final solution structures of nucleic acids.Copyright 2001 John Wiley & Sons, Inc.     

Short-range, long-range and transition state interactions in the denatured state of ACBP from residual dipolar couplings

Residual dipolar couplings in the denatured state of bovine acyl-coenzyme A binding protein (ACBP) oriented in strained polyacrylamide gels have been shown to be a sensitive, sequence-specific probe for residual secondary structure. Results supporting this were obtained by comparing residual dipolar couplings under different denaturing conditions. The data were analyzed using the program molecular fragment replacement (MFR), which demonstrated alpha-helix propensity in four isolated stretches along the protein backbone, and these coincide with the location of native helices. This is in full agreement with earlier findings based on secondary chemical shift values. Furthermore, N-H residual dipolar couplings provided direct evidence for the existence of native-like hydrophobic interactions in the acid-denatured state of ACBP at pH 2.3. It was shown that replacement of the hydrophobic side-chain of residue Ile27 with alanine in helix A2 leads to large decreases of residual dipolar couplings in residues that form helix A4 in the native state. It is suggested that the Ile to Ala mutation changes the probability for the formation of long-range interactions, which are present in the acid-denatured state of the wild-type protein. These long-range interactions are similar to those proposed to form in the transition state of folding of ACBP. Therefore, the application of residual dipolar couplings in combination with a comparative mutation study has demonstrated the presence of precursors to the folding transition state under acid-unfolding conditions.     

Effects of ligand binding on the internal dynamics of maltose-binding protein.

Ligand binding to proteins often causes large conformational changes. A typical example is maltose-binding protein (MBP), a member of the family of periplasmic binding proteins of Gram-negative bacteria. Upon binding of maltose, MBP undergoes a large structural change that closes the binding cleft, i.e. the distance between its two domains decreases. In contrast, binding of the larger, nonphysiological ligand beta-cyclodextrin does not result in closure of the binding cleft. We have investigated the dynamic properties of MBP in its different states using time-resolved tryptophan fluorescence anisotropy. We found that the 'empty' protein exhibits strong internal fluctuations that almost vanish upon ligand binding. The measured relaxation times corresponding to internal fluctuations can be interpreted as originating from two types of motion: wobbling of tryptophan side-chains relative to the protein backbone, and orientational fluctuations of entire domains. After binding of a ligand, domain motions are no longer detectable and the fluctuations of some of the tryptophan side-chains become rather restricted. This transformation into a more rigid state is observed upon binding of both ligands, maltose and the larger beta-cyclodextrin. The fluctuations of tryptophan side-chains in direct contact with the ligand, however, are affected in a slightly different way by the two ligands.     

The catalytic domain of MMP-1 studied through tagged lanthanides

Pseudocontact shifts (pcs) and paramagnetic residual dipolar couplings (rdc) provide structural information that can be used to assess the adequacy of a crystallographic structure to represent the solution structure of a protein. This can be done by attaching a lanthanide binding tag to the protein. There are cases in which only local rearrangements are sufficient to match the NMR data and cases where significant secondary structure or domain rearrangements from the solid state to the solution state are needed. We show that the two cases are easily distinguishable. Whereas the use of solution restraints in the latter case is described in the literature, here we deal with how to obtain a better model of the solution structure in a case (the catalytic domain of the matrix metalloproteinase MMP-1) of the former class.