Automated sequencing of amino acid spin systems in proteins using multidimensional HCC(CO)NH-TOCSY spectroscopy and constraint propagation methods from artificial intelligence

Summary We have developed an automated approach for determining the sequential order of amino acid spin systems in small proteins. A key step in this procedure is the analysis of multidimensional HCC(CO)NH-TOCSY spectra that provide connections from the aliphatic resonances of residue i to the amide resonances of residue i+1. These data, combined with information about the amino acid spin systems, provide sufficient constraints to assign most proton and nitrogen resonances of small proteins. Constraint propagation methods progressively narrow the set of possible assignments of amino acid spin systems to sequence-specific positions in the process of NMR data analysis. The constraint satisfaction paradigm provides a framework in which the necessary constraint-based reasoning can be expressed, while an object-oriented representation structures and facilitates the extensive list processing and indexing involved in matching. A prototype expert system, AUTOASSIGN, provides correct and nearly complete resonance assignments with one real and 31 simulated 3D NMR data sets for a 72-amino acid domain, derived from the Protein A of Staphylococcus aureus, and with 31 simulated NMR data sets for the 50-amino acid human type- transforming growth factor.     

Assignment of amide proton signals by combined evaluation of HN,NN and HNCA MAS-NMR correlation spectra

In this paper, we present a strategy for the ¹H^N resonance assignment in solid-state magic-angle spinning (MAS) NMR, using the -spectrin SH3 domain as an example. A novel 3D triple resonance experiment is presented that yields intraresidue H^N-N-C correlations, which was essential for the proton assignment. For the observable residues, 52 out of the 54 amide proton resonances were assigned from 2D (¹H-¹⁵N) and 3D (¹H-¹⁵N-¹³C) heteronuclear correlation spectra. It is demonstrated that proton-driven spin diffusion (PDSD) experiments recorded with long mixing times (4 s) are helpful for confirming the assignment of the protein backbone ¹⁵N resonances and as an aid in the amide proton assignment.     

Resolution and sensitivity of high field nuclear magnetic resonance spectroscopy

NMR frequency assignments are usually considered a prerequisite for the analysis of NOESY spectra, in turn required for the calculation of biomolecular structures. In contrast, as we propose here, relatively high numbers of unambiguous NOE identities can be consistently achieved in an automated manner by relying only on grouping resonances into connected spin systems. To achieve this goal, we have developed for proteins two protocols, SPI and BACUS, based on Bayesian inference. SPI (Grishaev and Llinás, 2002c) produces a list of the (1)H resonance frequencies from homo- and hetero-nuclear multidimensional spectra, grouped into effective spin systems. BACUS automatically establishes probabilistic identities of NOESY cross-peaks in terms of the chemical shifts provided by SPI. BACUS requires neither assignment of resonances nor an initial structural model. It successfully copes with chemical shift overlap and does so without cycling through 3D structure calculations. The method exploits the self-consistency of the NOESY graph by taking advantage of a network of J- as well as NOE-connected "reporter" protons sorted via SPI. BACUS was validated by tests on experimental NOESY data recorded for the col 2 and kringle 2 domains.     

The program XEASY for computer-supported NMR spectral analysis of biological macromolecules

Summary A new program package, XEASY, was written for interactive computer support of the analysis of NMR spectra for three-dimensional structure determination of biological macromolecules. XEASY was developed for work with 2D, 3D and 4D NMR data sets. It includes all the functions performed by the precursor program EASY, which was designed for the analysis of 2D NMR spectra, i.e., peak picking and support of sequence-specific resonance assignments, cross-peak assignments, cross-peak integration and rate constant determination for dynamic processes. Since the program utilizes the X-window system and the Motif widget set, it is portable on a wide range of UNIX workstations. The design objective was to provide maximal computer support for the analysis of spectra, while providing the user with complete control over the final resonance assignments. Technically important features of XEASY are the use and flexible visual display of strips, i.e., two-dimensional spectral regions that contain the relevant parts of 3D or 4D NMR spectra, automated sorting routines to narrow down the selection of strips that need to be interactively considered in a particular assignment step, a protocol of resonance assignments that can be used for reliable bookkeeping, independent of the assignment strategy used, and capabilities for proper treatment of spectral folding and efficient transfer of resonance assignments between spectra of different types and different dimensionality, including projected, reduced-dimensionality triple-resonance experiments.Abbreviations 1D, 2D, 3D, 4D one-, two-, three-, four-dimensional - NOE nuclear Overhauser enhancement - NOESY nuclear Overhauser enhancement spectroscopy - TOCSY total correlation spectroscopy - COSY correlation spectroscopy - TPPI time-proportional phase incrementation     

Two- and three-dimensional 31P-driven NMR procedures for complete assignment of backbone resonances in oligodeoxyribonucleotides

Summary We describe a strategy for sequential assignment of ³¹P and deoxyribose ¹H NMR resonances in oligodeoxyribonucleotides. The approach is based on ³¹P–¹H J-cross-polarization (hetero TOCSY) experiments, recently demonstrated for the assignment of resonances in RNA [Kellogg, G.W. (1992) J. Magn. Reson., 98, 176; Kellogg, G.W. et al. (1992) J. Am. Chem. Soc., 114, 2727]. Two-dimensional hetero TOCSY and hetero TOCSY-NOESY experiments are used to connect proton spin systems from adjacent nucleotides in the dodecamer d(CGCGAATTCGCG)₂ entirely on the basis of through-bond scalar connectivities. All phosphorus resonances of the dodecamer are assigned by this method, and many deoxyribose ¹H resonances can be assigned as well. A new three-dimensional hetero TOCSY-NOESY experiment is used for backbone proton 4, 5 and 5 resonance assignments, completing assignments begun on this molecule in 1983 [Hare, D.R. et al. (1983) J. Mol. Biol., 171, 319]. Numerical simulations of the time dependence of coherence transfer aid in the interpretation of hetero TOCSY spectra of oligonucleotides and address the dependence of hetero TOCSY and related spectra on structural features of nucleic acids. The possibility of a generalized backbone-driven ¹H and ³¹P resonance-assignment strategy for oligonucleotides is discussed.To whom correspondence should be addressed.     

2D NMR of paramagnetic metalloenzymes: Cyanide-inhibited horseradish peroxidase

Summary Two-dimensional (2D) proton NMR correlation spectroscopy, COSY, and nuclear Overhauser spectroscopy, NOESY, have been used to explore the applicability of these methods for the moderately large (42 KDa), paramagnetic cyanide-inhibited derivative of horseradish peroxidase, HRP-CN. The target resonances are those in the active site of HRP-CN which experience substantial hyperfine shifts and paramagnetic relaxation. The magnitude COSY experiment was found to yield cross peaks for all known spin-coupled heme substituents, as well as for the majority of non-heme hyperfine shifted protons, in spite of line widths of the order of 100 Hz. Moreover, the rapid relaxation of the hyperfine-shifted resonances allows the extremely rapid collection of useful 2D NMR data sets without the loss of information. For the heme, the combination of COSY cross peaks for the vinyl and propionate substituents, and NOESY cross peaks among these substituent protons and heme methyls, allows assignment of heme resonances without recourse to deuterium labeling of the heme. A seven-proton coupled spin system was identified in the upfield region that is consistent with originating from the proposed catalytic Arg³⁸ residue in the distal heme pocket, with orientation relative to the heme similar to that found in cytochromec peroxidase. The upfield hyperfine-shifted methyl group in the substrate binding pocket previously proposed to arise from Leu²³⁷ is shown to arise instead from an as yet unidentified Ile. NOESY spectra collected at very short (3 ms) and intermediate (20 ms) mixing times indicate that build-up curves can be obtained that should yield estimates of distances in the heme cavity. It is concluded that 2D NMR studies should be able to provide the heme assignments, aid in identifying the catalytic residues, and provide information on the spatial disposition of such residues in the active site for cyanide complexes of a number of intermediate to large paramagnetic heme peroxidases, as well as for other paramagnetic metalloenzymes with line widths of 100 Hz. Moreover, paramagnetic-induced hyperfine shifts and linewidths to 100 Hz need not interfere with the complete solution structure determination of a small paramagnetic protein solely on the basis of 2D NMR data.     

A 4D HCC(CO)NNH experiment for the correlation of aliphatic side-chain and backbone resonances in 13C/15N-labelled proteins

Summary We recently proposed a novel four-dimensional (4D) NMR strategy for the assignment of backbone nuclei in spectra of ¹³C/¹⁵N-labelled proteins (Boucher et al. (1992) J. Am. Chem. Soc., 114, 2262–2264 and J. Biomol. NMR, 2, 631–637). In this paper we extend this approach with a new constant time 4D HCC(CO)NNH experiment that also correlates the chemical shifts of the aliphatic sidechain (¹H and ¹³C) and backbone (¹H, ¹³C and ¹⁵N) nuclei. It separates the sidechain resonances, which may heavily overlap in spectra of proteins with large numbers of similar residues, according to the backbone nitrogen and amide proton chemical shifts. When used in conjunction with a 4D HCANNH or HNCAHA experiment it allows, in principle, complete assignment of aliphatic sidechain and backbone resonances with just two 4D NMR experiments.     

Aliphatic 1H and 13C resonance assignments for the 26-10 antibody VL domain derived from heteronuclear multidimensional NMR spectroscopy

Summary Extensive ¹H and ¹³C assignments have been obtained for the aliphatic resonances of a uniformly ¹³C-and ¹⁵N-labeled recombinant V_L domain from the anti-digoxin antibody 26-10. Four-dimensional triple resonance NMR data acquired with the HNCAHA and HN(CO)CAHA pulse sequences [Kay et al. (1992) J. Magn. Reson., 98, 443–450] afforded assignments for the backbone H^N, N, H and C resonances. These data confirm and extend H^N, N and H assignments derived previously from three-dimensional ¹H-¹⁵N NMR studies of uniformly ¹⁵N-labeled V_L domain [Constantine et al. (1992), Biochemistry, 31, 5033–5043]. The identified H and C resonances provided a starting point for assigning the side-chain aliphatic ¹H and ¹³C resonances using three-dimensional HCCH-COSY and HCCH-TOCSY experiments [Clore et al. (1990), Biochemistry, 29, 8172–8184]. The C and C chemical shifts are correlated with the V_L domain secondary structure. The extensive set of side-chain assignments obtained will allow a detailed comparison to be made between the solution structure of the isolated V_L domain and the X-ray structure of the V_L domain within the 26–10 Fab.     

Determination of molecular alignment tensors without backbone resonance assignment: Aid to rapid analysis of protein-protein interactions

Based on high-resolution structures of the free molecules accurate determination of structures of protein complexes by NMR spectroscopy is possible using residual dipolar couplings. In order, however, to be able to apply these methods, protein backbone resonances have to be assigned first. This NMR assignment process is particularly difficult and time consuming for protein sizes above 20 kDa. Here we show that, when NMR resonances belonging to a specific amino acid type are selected either by amino acid specific labeling, by their characteristic C/C chemical shifts or by dedicated NMR experiments, molecular alignment tensors of proteins up to 80 kDa can be determined without prior backbone resonance assignment. This offers the opportunity to greatly accelerate determination of three-dimensional structures of protein-protein and protein-ligand complexes, and validation of multimeric states of proteins. Moreover, exhaustive back-calculation can be performed using only ¹D_NH couplings. Therefore, it avoids expensive ¹³C-labeling and it gives access to orientational information for large proteins that strongly aggregate at concentrations above 50 M, i.e., experimental conditions where 3D triple resonance experiments are not sensitive enough to allow backbone resonance assignment.     

A 4D HCCH-TOCSY experiment for assigning the side chain1H and13C resonances of proteins

Summary A 4D HCCH-TOCSY experiment is described for correlating and assigning the¹H and¹³C resonances of protein amino acid side chains that has several advantages over 3D versions of the experiment. In many cases, both the¹H and¹³C chemical shifts can be obtained in the 4D experiment from a simple inspection of the¹³C(3),¹H(4) planes extracted at the¹H(1)/¹³C(2) chemical shifts. Together with the 3D and 4D triple resonance experiments, this allows sequence-specific assignments to be obtained. In addition, the increased resolution of the 4D experiment compared to its 3D counterpart allows. automation of resonance assignments.     

Amino acid-specific isotopic labeling and active site NMR studies of iron(II)- and iron(III)-superoxide dismutase from Escherichia coli

We have developed and employed multiple amino acid-specific isotopic labeling schemes to obtain definitive assignments for active site ¹H NMR resonances of iron(II)- and iron(III)-superoxide dismutase (Fe(II)SOD and Fe(III)SOD) from Escherichia coli. Despite the severe relaxivity of high-spin Fe(III), we have been able to assign resonances to ligand His 1 protons near 100 ppm, and and protons collectively between 20 and 50 ppm, in Fe(III)SOD. In the reduced state, we have assigned all but 7 ligand protons, in most cases residue-specifically. A pair of previously unreported broad resonances at 25.9 and 22.1 ppm has been conclusively assigned to the protons of Asp 156, superseding earlier assignments (Ming et al. (1994) Inorg. Chem., 33, 83–87). We have exploited higher temperatures to resolve previously unobserved ortho-like ligand His proton resonances, and specific isotopic labeling to distinguish between the possibilities of 2 and 1 protons. These are the closest protein protons to Fe(II) and therefore they have the broadest (4000 Hz) and most difficult to detect resonances. Our assignments permit interpretation of temperature dependences of chemical shifts, pH dependences and H/D exchange rates in terms of a hydrogen bond network and the Fe(II) electronic state. Interestingly, Fe(II)SOD's axial His ligand chemical shifts are similar to those of the axial His ligand of Rhodopseudomonas palustris cytochrome c (Bertini et al. (1988) Inorg. Chem., 37, 4814–4821) suggesting that Fe(II)SOD's equatorial His₂Asp^– ligation is able to reproduce some of the electronic, and thus possibly chemical, properties of heme coordination for Fe²⁺.     

Resonance assignment strategies for the analysis of nmr spectra of proteins

Determination of the high resolution solution structure of a protein using nuclear magnetic resonance (NMR) spectroscopy requires that resonances observed in the NMR spectra be unequivocally assigned to individual nuclei of the protein. With the advent of modern, two-dimensional NMR techniques arose methodologies for assigning the¹H resonances based on 2D, homonuclear¹H NMR experiments. These include the sequential assignment strategy and the main chain directed strategy. These basic strategies have been extended to include newer 3D homonuclear experiments and 2D and 3D heteronuclear resolved and edited methods. Most recently a novel, conceptually new approach to the problem has been introduced that relies on heteronuclear, multidimensional so-called triple resonance experiments for both backbone and sidechain resonance assignments in proteins. This article reviews the evolution of strategies for the assignment of resonances of proteins.     

Resonance assignment of 13C/15N labeled solid proteins by two- and three-dimensional magic-angle-spinning NMR

The comprehensive structure determination of isotopically labeled proteins by solid-state NMR requires sequence-specific assignment of ¹³C and ¹⁵ N spectra. We describe several 2D and 3D MAS correlation techniques for resonance assignment and apply them, at 7.0 Tesla, to ¹³C and ¹⁵N labeled ubiquitin to examine the extent of resonance assignments in the solid state. Both interresidue and intraresidue assignments of the ¹³C and ¹⁵N resonances are addressed. The interresidue assignment was carried out by an N(CO)CA technique, which yields N_i-C_i–1 connectivities in protein backbones via two steps of dipolar-mediated coherence transfer. The intraresidue connectivities were obtained from a new 3D NCACB technique, which utilizes the well resolved C chemical shift to distinguish the different amino acids. Additional amino acid type assignment was provided by a ¹³C spin diffusion experiment, which exhibits ¹³C spin pairs as off-diagonal intensities in the 2D spectrum. To better resolve carbons with similar chemical shifts, we also performed a dipolar-mediated INADEQUATE experiment. By cross-referencing these spectra and exploiting the selective and extensive ¹³ C labeling approach, we assigned 25% of the amino acids in ubiquitin sequence-specifically and 47% of the residues to the amino acid types. The sensitivity and resolution of these experiments are evaluated, especially in the context of the selective and extensive ¹³C labeling approach.     

Resolution enhanced homonuclear carbon decoupled triple resonance experiments for unambiguous RNA structural characterization

Large RNAs (>30 nucleotides) suffer from extensive resonance overlap that can seriously hamper unambiguous structural characterization. Here we present a set of 3D multinuclear NMR experiments with improved and optimized resolution and sensitivity for aiding with the assignment of RNA molecules. In all these experiments strong base and ribose carbon–carbon couplings are eliminated by homonuclear band-selective decoupling, leading to improved signal to noise and resolution of the C5, C6, and C1′ carbon resonances. This decoupling scheme is applied to base-type selective ¹³C-edited NOESY, ¹³C-edited TOCSY (HCCH, CCH), HCCNH, and ribose H1C1C2 experiments. The 3D implementation of the HCCNH experiment with both carbon and nitrogen evolution enables direct correlation of ¹³C and ¹⁵N resonances at different proton resonant frequencies. The advantages of the new experiments are demonstrated on a 36 nucleotides hairpin RNA from domain 5 (D5) of the group II intron Pylaiella littoralis using an abbreviated assignment strategy. These four experiments provided additional separation for regions of the RNA that have overlapped chemical shift resonances, and enabled the assignment of critical D5 bulge nucleotides that could not be assigned using current experimental schemes.Supplementary material to this paper is available in electronic form at http://dx.doi.org/10.1007/s10858-005-5093-6     

Identifying inter-residue resonances in crowded 2D 13C–13C chemical shift correlation spectra of membrane proteins by solid-state MAS NMR difference spectroscopy

The feasibility of using difference spectroscopy, i.e. subtraction of two correlation spectra at different mixing times, for substantially enhanced resolution in crowded two-dimensional ¹³C–¹³C chemical shift correlation spectra is presented. With the analyses of ¹³C–¹³C spin diffusion in simple spin systems, difference spectroscopy is proposed to partially separate the spin diffusion resonances of relatively short intra-residue distances from the longer inter-residue distances, leading to a better identification of the inter-residue resonances. Here solid-state magic-angle-spinning NMR spectra of the full length M2 protein embedded in synthetic lipid bilayers have been used to illustrate the resolution enhancement in the difference spectra. The integral membrane M2 protein of Influenza A virus assembles as a tetrameric bundle to form a proton-conducting channel that is activated by low pH and is essential for the viral lifecycle. Based on known amino acid resonance assignments from amino acid specific labeled samples of truncated M2 sequences or from time-consuming 3D experiments of uniformly labeled samples, some inter-residue resonances of the full length M2 protein can be identified in the difference spectra of uniformly ¹³C labeled protein that are consistent with the high resolution structure of the M2 (22–62) protein (Sharma et al., Science 330(6003):509–512, 2010).     

Sequential resonance assignment of medium-sized15 N/13C-labeled proteins with projected 4D triple resonance NMR experiments

We recently introduced a new line of reduced-dimensionality experiments making constructive use of axial peak magnetization, which has so far been suppressed as an undesirable artifact in multidimensional NMR spectra [Szyperski, T., Braun, D., Banecki, B. and Wüthrich, K. (1996) J. Am. Chem. Soc., 118, 8146–8147]. The peaks arising from the axial magnetization are located at the center of the doublets resulting from projection. Here we describe the use of such projected four-dimensional (4D) triple resonance experiments for the efficient sequential resonance assignment of ¹⁵N/¹³C-labeled proteins. A 3D ^{/ /}(CO)NHN experiment is recorded either in conjunction with 3D HNN< > or with the newly presented 3D HNN scheme. The first combination yields sequential assignments based on the measurement of¹³ C chemical shifts and provides a complete ¹H, ¹³C and ¹⁵N resonance assignment of polypeptide backbone and CH_n moieties. When employing the second combination, ¹³C=O chemical shifts are not measured, but the sequential assignment relies on both ¹³C and¹ H chemical shifts. The assignment is performed in a semi-automatic fashion using the program XEASY in conjunction with the newly implemented program SPSCAN. This program package offers routines for the facile mutual interconversion of single-quantum and zero/double-quantum frequencies detected in conventional and reduced-dimensionality spectra, respectively. In particular, SPSCAN comprises a peak picking routine tailored to cope with the distinct peak patterns of projected NMR experiments performed with simultaneous acquisition of central peaks. Data were acquired at 13 °C for the N-terminal 63-residue polypeptide fragment of the 434 repressor. Analysis of these spectra, which are representative for proteins of about 15 kDa when working at commonly used temperatures around 30 °C , demonstrates the efficiency of our approach for the assignment of medium-sized¹⁵ N/¹³C doubly labeled proteins.     

Measurement of amide proton exchange rates and NOEs with water in 13C/15N-enriched calcineurin B

Summary A rapid and sensitive 2D approach is presented for measuring amide proton exchange rates and the NOE interaction between amide protons and water. The approach is applicable to uniformly ¹³C/¹⁵N-enriched proteins and can measure magnetization exchange rates in the 0.02 to >20s^–1 range. The experiments rely on selective excitation of the water resonance, coupled with purging of underlying H resonances, followed by NOESY-or ROESY-type transfer to amide protons, which are dispersed by the amide ¹⁵N frequencies in an HSQC-type experiment. Two separate but interleaved experiments, with and without selective inversion of the H₂O resonance, yield quantitative results. The method is demonstrated for a sample of the calcium-binding protein calcineurin B. Results indicate rapid amide exchange for the five calcineurin B residues that are analogous to the five rapidly exchanging residues in the central helix of the homologous protein calmodulin.     

<Superscript>1</Superscript>H–<Superscript>15</Superscript>N correlation spectroscopy of nanocrystalline proteins

The limits of resolution that can be obtained in ¹H–¹⁵N 2D NMR spectroscopy of isotopically enriched nanocrystalline proteins are explored. Combinations of frequency switched Lee–Goldburg (FSLG) decoupling, fast magic angle sample spinning (MAS), and isotopic dilution via deuteration are investigated as methods for narrowing the amide ¹H resonances. Heteronuclear decoupling of ¹⁵N from the ¹H resonances is also studied. Using human ubiquitin as a model system, the best resolution is most easily obtained with uniformly ²H and ¹⁵N enriched protein where the amides have been exchanged in normal water, MAS at 20 kHz, and WALTZ-16 decoupling of the ¹⁵N nuclei. The combination of these techniques results in average ¹H lines of only 0.26 ppm full width at half maximum. Techniques for optimizing instrument stability and ¹⁵N decoupling are described for achieving the best possible performance in these experiments.     

Novel projected 4D triple resonance experiments for polypeptide backbone chemical shift assignment

Here we present a novel suite of projected 4D triple-resonance NMR experiments for efficient sequential assignment of polypeptide backbone chemical shifts in ¹³C/¹⁵N doubly labeled proteins. In the 3D HNN[CAHA] and 3D HNN(CO)[CAHA] experiments, the ¹³C and ¹H chemical shifts evolve in a common dimension and are simultaneously detected in quadrature. These experiments are particularly useful for the assignment of glycine-rich polypeptide segments. Appropriate setting of the ¹H radiofrequency carrier allows one to place cross peaks correlating either backbone ¹⁵N/¹H^N/¹³C or ¹⁵N/¹H^N/¹H chemical shifts in separate spectral regions. Hence, peak overlap is not increased when compared with the conventional 3D HNNCA and HNN(CA)HA. 3D HNN[CAHA] and 3D HNN(CO)[CAHA] are complemented by 3D reduced-dimensionality (RD) HNN COCA and HNN CACO, where ¹³C and ¹³C chemical shifts evolve in a common dimension. The ¹³C shift is detected in quadrature, which yields peak pairs encoding the ¹³C chemical shift in an in-phase splitting. This suite of four experiments promises to be of value for automated high-throughput NMR structure determination in structural genomics, where the requirement to independently sample many indirect dimensions in a large number of NMR experiments may prevent one from accurately adjusting NMR measurement times to spectrometer sensitivity.     

Secondary structure determination by NMR spectroscopy of an immunoglobulin-like domain from the giant muscle protein titin

Summary We present the complete ¹⁵N and ¹H NMR assignment and the secondary structure of an immunoglobulin-like domain from the giant muscle protein titin. The assignment was obtained using homonuclear and ¹⁵N heteronuclear 2D and 3D experiments. The complementarity of 3D TOCSY-NOESY and 3D ¹⁵N NOESY-HSQC experiments, using WATERGATE for water suppression, allowed an efficient assignment of otherwise ambiguous cross peaks and was helpful in overcoming poor TOCSY transfer for some amino acids. The secondary structure is derived from specific NOEs between backbone - and amide protons, secondary chemical shifts of -protons and chemical exchange for the backbone amide protons. It consists of eight -strands, forming two -sheets with four strands each, similar to the classical -sandwich of the immunoglobulin superfamily, as previously predicted by sequence analysis. Two of the -strands are connected by type II -turns; the first -strand forms a -bulge. The whole topology is very similar to the only intracellular immunoglobulin-like domain for which a structure has been determined so far, i.e., telokin.