Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “Trimer assembly”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 847 records · Page 47Linked to original sources

c-Jun NH2-terminal kinase targeting and phosphorylation of heat shock factor-1 suppress its transcriptional activity.

The mammalian heat shock transcription factor HSF-1 regulates the expression of the heat shock proteins, molecular chaperones that are involved in cellular processes from higher order assembly to protein degradation. HSF-1 is a phosphorylated monomer under physiological growth conditions and is located mainly in the cytoplasm. Upon activation by a variety of environmental stresses, HSF-1 is translocated into the nucleus, forms trimers, acquires DNA binding activity, is hyperphosphorylated, appears as punctate granules, and increases transcriptional activity of target genes. As cells recover from stress, the punctate granules gradually disappear, and HSF-1 appears in a diffused staining pattern in the cytoplasm and nucleus. We have previously shown that the mitogen-activated protein kinase ERK phosphorylates and suppresses HSF-1-driven transcription. Here, we show that c-Jun NH(2)-terminal kinase (JNK) also phosphorylates and inactivates HSF-1. Overexpression of JNK facilitates the rapid disappearance of HSF-1 punctate granules after heat shock. Similar to ERK, JNK binds to HSF-1 in the conserved mitogen-activated protein kinases binding motifs and phosphorylates HSF-1 in the regulatory domain. The overexpression of an HSF-1-green fluorescent protein fusion construct lacking JNK phosphorylation sites causes this HSF-1 mutant to form nuclear granules that remain longer in the nucleus after heat shock. Taken together, these findings indicate that JNK phosphorylates HSF-1 and suppresses its transcriptional activity by rapidly clearing HSF-1 from the sites of transcription.

Amino Acid Sequence↗

Production of rotavirus-like particles in tomato (Lycopersicon esculentum L.) fruit by expression of capsid proteins VP2 and VP6 and immunological studies.

A number of different antigens have been successfully expressed in transgenic plants, and some are currently being evaluated as orally delivered vaccines. Here we report the successful expression of rotavirus capsid proteins VP2 and VP6 in fruits of transgenic tomato plants. By western blot analysis, using specific antibodies, we determined that the VP2 and VP6 produced in plants have molecular weights similar to those found in native rotavirus. The plant-synthesized VP6 protein retained the capacity to form trimers. We were able to recover rotavirus virus-like particles from tomato fruit (i.e., tomatoes) by centrifugation on a sucrose cushion and to visualize them by electron microscopy. This result indicated that VP2/VP6 can self-assemble into virus-like particles (VLPs) in plant cells, even though only a small proportion of VP2/VP6 assembled into VLPs. To investigate immunogenicity, adult mice were immunized intraperitoneally (i.p.) three times with a protein extract from a transgenic tomatoes in adjuvant. We found that the transgenic tomato extract induced detectable levels of anti-rotavirus antibodies in serum; however, we did not determine the contribution of either the free rotavirus proteins or the VLPs to the induction of the antibody response. These results suggest the potential of plant-based rotavirus VLPs for the development of a vaccine against rotavirus infection.

Animals↗

The structure of P4 procapsids produced by coexpression of capsid and external scaffolding proteins.

The double-stranded DNA bacteriophage P4 has a T = 4 icosahedral arrangement of the gpN capsid protein derived from the P2 helper phage. The precursor procapsids in addition contain an external scaffold made up of the P4-encoded Sid protein. High yields of pure P4 procapsids have been obtained by coexpressing the gpN and Sid proteins from a chimeric plasmid. Biochemical measurements show that the ratio of gpN to Sid in the procapsids is 2:1, corresponding to 120 copies of Sid per procapsid particle. A reconstruction of the P4 procapsid, made from 213 particle images to an effective resolution of about 21 A, greatly improves on the previously determined P4 procapsid structures. The structure shows a T = 4 capsid shell and a unique tandem arrangement of 120 copies of chilli-shaped Sid monomers, which form trimers and dimers on the procapsid surface.

Bacteriophages↗

Controllable self-assembly of nanoparticles for specific delivery of multiple therapeutic molecules to cancer cells using RNA nanotechnology.

By utilizing RNA nanotechnology, we engineered both therapeutic siRNA and a receptor-binding RNA aptamer into individual pRNAs of phi29's motor. The RNA building block harboring siRNA or other therapeutic molecules was fabricated subsequently into a trimer through the interaction of engineered right and left interlocking RNA loops. The incubation of the protein-free nanoscale particles containing the receptor-binding aptamer or other ligands resulted in the binding and co-entry of the trivalent therapeutic particles into cells, subsequently modulating the apoptosis of cancer cells and leukemia model lymphocytes in cell culture and animal trials. The use of such antigenicity-free 20-40 nm particles holds promise for the repeated long-term treatment of chronic diseases.

Animals↗

Collaborative signaling by mixed chemoreceptor teams in Escherichia coli.

Chemoreceptors of the methyl-accepting chemotaxis protein family form clusters, typically at the cell pole(s), in both Bacteria and Archaea. To elucidate the architecture and signaling role of receptor clusters, we investigated interactions between the serine (Tsr) and aspartate (Tar) chemoreceptors in Escherichia coli by constructing Tsr mutations at the six hydrophobic and five polar residues implicated in "trimer of dimers" formation. Tsr mutants with proline replacements could not mediate serine chemotaxis, receptor clustering, or clockwise flagellar rotation. Alanine and tryptophan mutants, although also nonchemotactic, formed receptor clusters, and some produced clockwise flagellar rotation, indicating receptor-coupled activation of the signaling CheA kinase. The alanine and tryptophan mutants evidently assemble defective receptor complexes that cannot modulate CheA activity in response to serine stimuli. In cells containing wild-type Tar receptors, tryptophan replacements in Tsr interfered with Tar function, whereas four Tsr mutants with alanine replacements regained Tsr function. These epistatic and rescuable phenotypes imply interactions between Tsr and Tar dimers in higher-order signaling teams. The bulky side chain in tryptophan mutants may prevent stimulus-induced conformational changes in the team, whereas the small side chain in alanine mutants may permit signaling control when teamed with functional receptor molecules. Direct physical interactions between Tsr and Tar molecules were observed by in vivo chemical crosslinking. Wild-type Tsr crosslinked to Tar, whereas a clustering-defective proline replacement mutant did not. These findings indicate that bacterial chemoreceptor clusters are comprised of signaling teams, seemingly based on trimers of dimers, that can contain different receptor types acting collaboratively.

Bacterial Proteins↗

Hexagonal organization of Moloney murine leukemia virus capsid proteins.

To help elucidate the mechanisms by which retrovirus structural proteins associate to form virus particles, we have examined membrane-bound assemblies of Moloney murine leukemia virus (M-MuLV) capsid (CA) proteins. Electron microscopy and image reconstruction techniques showed that CA dimers appear to function as organizational subunits of the cage-like, membrane-bound protein arrays. However, new three-dimensional (3D) data also were consistent with hexagonal (p6) assembly models. The p6 3D reconstructions of membrane-bound M-MuLV CA proteins gave unit cells of a = b = 80.3 A, c = 110 A, gamma = 120 degrees, in which six dimer units formed a cage lattice. Neighbor cage hole-to-hole distances were 45 A, while distances between hexagonal cage holes corresponded to unit cell lengths (80.3 A). The hexagonal model predicts two types of cage holes (trimer and hexamer holes), uses symmetric head-to-head dimer building blocks, and permits the introduction of lattice curvature by conversion of hexamer to pentamer units. The M-MuLV CA lattice is similar to those formed in helical tubes by HIV CA in that hexamer units surround cage holes of 25-30 A, but differs in that M-MuLV hexamer units appear to be CA dimers, whereas HIV CA units appear to be monomers. These results suggest that while general assembly principles apply to different retroviruses, clear assembly distinctions exist between these virus types.

Capsid↗

A recombinant glycine receptor fragment forms homo-oligomers distinct from its GABA(A) counterpart.

The ligand-gated ion channel receptor superfamily includes receptors for glycine, GABA, acetylcholine and serotonin. Whereas the acetylcholine and serotonin receptors mediate excitory neurotransmissions, both glycine and GABA(A) receptors are inhibitory. In this study, a fragment of the human glycine receptor alpha1 subunit, consisting of residues Ala165-Met291 (numbering based on the precursor protein), was hyperexpressed for the first time in Escherichia coli. This fragment is highly homologous in sequence to the corresponding fragment of the GABA(A) receptor. The recombinant fragment was found to have stable beta-rich secondary structure, similar to that found for the homologous GABA(A) receptor fragment, and ordered tertiary packing, suggesting a stable structural domain. Results from laser scattering studies suggest that the fragment forms trimers in solution. In addition, SDS-induced changes in secondary structure were found to occur prior to changes in oligomerization status, suggesting that oligomerization was secondary structure dependent. A study of quaternary structure using single particle analysis electron microscopy (EM) also suggested that the fragment formed homo-trimers. One trimer measures approximately 7.5 nm in diameter with a central cavity approximately 1.5 nm across. This is the first EM study on a single domain of the glycine receptor and the result is in contrast to the pentameric assembly of the equivalent GABA(A) receptor fragment reported by us earlier. The fact that this fragment alone could form oligomers in vitro suggests that amino acid residues within this segment may be involved in the oligomerization of the glycine receptor in vivo. Furthermore, the finding that two cousin receptor fragments form distinct quaternary structures indicates that sequence similarity does not necessarily imply quaternary structure similarity and, hence, care must be taken when applying a structure model derived from studies of individual receptors to the whole ligand-gated ion channel superfamily.

Amino Acid Sequence↗

All hierarchical levels are involved in conformational transitions of the 4 x 6-meric tarantula hemocyanin upon oxygenation.

The respiratory protein of the tarantula Eurypelma californicum is a 4 x 6-meric hemocyanin that binds oxygen with high cooperativity. This requires the existence of different conformations which have been confirmed by small angle X-ray scattering (SAXS). Here we present reconstructed 3D-models of the oxy- and deoxy-forms of tarantula hemocyanins, as obtained by fitting small angle X-rays scattering curves on the basis of known X-ray structures and electron microscopy of related hemocyanins. For the first time, the involvement of movements at all levels of the quaternary structure was confirmed for an arthropod hemocyanin upon oxygenation. The two identical 2 x 6-meric half-molecules of the native 4 x 6-mer were shifted in the oxy-state along each other compared with the deoxy-state by about 14 A. In addition, the angle between the two 2 x 6-meric half-molecules increased by 13 degrees. Within these 2 x 6-mers the two hexamers were rotated against each other by about 26 degrees with respect to the deoxy-state. In addition, the distance between the two trimers of each hexamer increased upon oxygenation by about 2.5 A. These strongly coupled movements are based on the particular hierarchical structure of the 4 x 6-mer. It also shows a concept of allosteric interaction in hierarchically assembled proteins to guarantee the involvement of all subunits of a native oligomer to establish very high Hill coefficients.

Animals↗

Structure of the Neisseria meningitidis outer membrane PilQ secretin complex at 12 A resolution.

The bacterial pathogen Neisseria meningitidis expresses long, thin, retractile fibers (called type IV pili) from its cell surface and uses these adhesive structures to mediate primary attachment to epithelial cells during host colonization and invasion. PilQ is an outer membrane protein complex that is essential for the translocation of these pili across the outer membrane. Here, we present the structure of the PilQ complex determined by cryoelectron microscopy to 12 A resolution. The dominant feature of the structure is a large central cavity, formed by four arm features that spiral upwards from a squared ring base and meet to form a prominent cap region. The cavity, running through the center of the complex, is continuous and is effectively sealed at both the top and bottom. Analysis of the complex using self-orientation and by examination of two-dimensional crystals indicates a strong C4 rotational symmetry, with a much weaker C12 rotational symmetry, consistent with PilQ possessing true C4 symmetry with C12 quasi-symmetry. We therefore suggest that the complex is a homododecamer, formed by association of 12 PilQ polypeptide chains into a tetramer of trimers. The structure of the PilQ complex, with its large and well defined central chamber, suggests that it may not function solely as a passive portal in the outer membrane, but could be actively involved in mediating pilus assembly or modification.

Cryoelectron Microscopy↗

Templated assembly of the pH-sensitive membrane-lytic peptide GALA.

Delivery of protein or nucleic acid therapeutics into intracellular compartments may require facilitation to allow these macromolecules to cross otherwise impermeant cellular membranes. Peptides capable of forming membrane-spanning channels hold promise as just such facilitators, although the requirement for peptide oligomerization to form these channels may limit their effectiveness. Synthetic molecules containing multiple copies of membrane-active peptides attached to a template molecule in a pre-oligomerized form have attracted interest for drug-delivery applications. Using three template designs, we synthesized multimeric versions of the pH-sensitive lytic peptide GALA and compared their performance to monomeric GALA. Template assembly stabilized helix formation: templated GALA retained alpha-helical structure even at neutral pH, unlike monomeric GALA. In membrane leakage assays, templated GALA retained the pH sensitivity of the monomer, with improved leakage for dimeric GALA. Surprisingly, trimeric GALA was less effective, particularly when synthesized with a larger and more flexible spacer. Surface plasmon resonance analysis indicated that reversible binding of templated GALA to lipid surfaces at acidic conditions was greatly reduced compared with monomeric GALA, but that the amount of irreversibly bound material was similar. We interpreted these results to indicate that templated peptides may cyclize into 'self-satisfied' oligomeric structures, incapable of further aggregation and subsequent pore formation. Future design of templated peptides must be carefully performed to avoid this unwanted consequence.

Cell Membrane↗

Assembly of bacteriophage PRD1 spike complex: role of the multidomain protein P5.

The spike structure of bacteriophage PRD1 is comprised of proteins P2, P5, and P31. It resembles the corresponding receptor-binding structure of adenoviruses. We show that purified recombinant protein P5 is an elongated (30 x 2.7 nm; R(h) = 5.5 nm), multidomain trimer which can slowly associate into nonamers. Cleavage of the 340 amino acid long P5 with collagenase yields 2 fragments. The larger, 205 amino acid long C-terminal fragment appears to contain the residues responsible for the trimerization of the protein, whereas the smaller N-terminal part mediates the interaction of P5 with the pentameric vertex protein P31 (24 x 2.5 nm, R(h) = 4.2 nm). In addition, the presence of the N-terminal sequence is required for the formation of the P5 nonamer. The results presented here suggest that P5 and P31 form an elongated adaptor complex at the 5-fold vertexes of the virion which anchors the adsorption protein P2 (21 x 2.5 nm; R(h) = 4.1 nm). Our results also suggest that the P5 trimer forms a substantial part of the viral spike shaft that was previously thought to be composed exclusively of protein P2.

Amino Acid Motifs↗

Proteolytic and conformational control of virus capsid maturation: the bacteriophage HK97 system.

Bacteriophage capsid assembly pathways provide excellent model systems to study large-scale conformational changes and other mechanisms that regulate the formation of macromolecular complexes. These capsids are formed from proheads: relatively fragile precursor particles which mature by undergoing extensive remodeling. Phage HK97 employs novel features in its strategy for building capsids, including assembly without a scaffolding protein, and the formation of a network of covalent cross-links between neighboring subunits in the mature virion. In addition, proteolytic cleavage of the capsid protein from 42 kDa to 31 kDa is essential for maturation. To investigate the structural bases for proteolysis and cross-linking, we have used cryo-electron micrographs to reconstruct the three-dimensional structures of purified particles from four discrete stages in the assembly pathway: Prohead I, Prohead II, Head I and Head II. Prohead I has icosahedral T = 7 packing of blister-shaped pentamers and hexamers. The pentamers are 5-fold symmetric, but the hexamers exhibit an unusual departure from 6-fold symmetry, as if two trimers had undergone a shear dislocation of about 25 A. Proteolytic conversion to Prohead II leaves the outer surface largely unchanged, but a major loss of density from the inner surface is observed, which we infer to represent the excision of the amino-terminal domains of the capsid protein. Upon expansion to the Head I state, the capsid becomes markedly larger, thinner walled, and more polyhedral: moreover, the capsomer shapes change radically; especially notable is the disappearance of the large hexon dislocation. No differences between Head I and the covalently cross-linked Head II could be observed at the current resolution of about 25 A, from which we infer that it is the conformational rearrangements effected by expansion that create the micro-environments needed for the autocatalytic formation of the isodipeptide bonds found in the mature virions ("pseudo-active sites").

Amino Acid Sequence↗

Characterization of the inhibition of fibrin assembly by fibrinogen fragment D.

Fragment D (Mr 100 000) prepared from a terminal plasmin digest of fibrinogen was isolated and used to study its effect on fibrin formation. Increasing amounts of fragment D added to a solution of fibrinogen and thrombin decrease the rigidity of the resultant gel (10% of control at 2 mol of fragment D/mol of fibrinogen). Half-maximal inhibition is achieved at 1 mol of fragment D/mol of fibrinogen for non-cross-linked clots and at 1/2 mol of fragment D/mol of fibrinogen for cross-linked clots. "Clottability' decreases concomitantly with the rigidity. Only small amounts of fragment D (less than 10% for non-cross-linked gels) are incorporated into the gel. Light-scattering shows an increase in the final fibre thickness at fragment D concentrations up to 2 mol of fragment D/mol of fibrinogen, from 60 molecules/cross-section for the control to 120 molecules/cross-section. Higher fragment D concentrations lead to a decrease in the final fibre thickness. The limit fibre thickness is 8 nm, with a length of 80 nm, which is equivalent to a fibrin trimer. On the basis of results of synthetic-substrate and fibrinopeptide-release assays, it is clear that thrombin inactivation is not responsible for this effect. These data suggest that fragment D may inhibit fibrin formation by blocking the bimolecular polymerization of activated fibrin monomer molecules to form protofibrils, although additional effects on subsequent assembly steps may also be involved.

Blood Coagulation↗

New structural insights from Raman spectroscopy of proteins and their assemblies.

Protein structure and stability are sensitive to and dependent on the local interactions of amino acid side chains. A diverse and important type of side-chain interaction is the hydrogen bond. Although numerous hydrogen bonds are resolved in protein 3-dimensional structures, those of the cysteine sulfhydryl group (S-H) are elusive to high-resolution X-ray and NMR methods. However, the nature and strength of sulfhydryl hydrogen bonds (S-H* * *X) are amenable to investigation by Raman spectroscopy. The power of the Raman method for characterizing S-H* * *X interactions is illustrated by resolving the Raman S-H stretching band for each of the eight cysteines per 666-residue subunit in the trimeric tailspike of icosahedral bacteriophage P22. The Raman sulfhydryl signatures of the wild-type tailspike and eight single-site cysteine to serine mutants reveal a heretofore unrecognized diversity of S-H hydrogen bonds in a native protein. The use of Raman spectroscopy to identify the non-hydrogen-bonded state of the tyrosine phenoxyl group is also described. This unusual and unexpected state occurs for all tyrosines in the assembled capsids of filamentous viruses Ff and Pf1. The Raman spectral signature of the non-hydrogen-bonded tyrosine phenoxyl, which is characterized by an extraordinary Raman Fermi doublet intensity ratio (I850/I830 = 6.7), extends and refines the existing correlation for hydrogen-bonded tyrosines. Finally, a novel Raman signature for tryptophan in the Pf3 filamentous virus is identified, which is proposed as diagnostic of "cation-pi interaction" involving the guanidinium group of Arg 37 as a cation donor and the indolyl ring of Trp 38 as a pi-electron acceptor. These studies demonstrate the power of Raman spectroscopy for investigating the interactions of key side chains in native protein assemblies.

Arginine↗

Pressure treatment of tailspike aggregates rapidly produces on-pathway folding intermediates.

Protein folding and aggregation are in direct competition in living systems, yet measuring the two pathways simultaneously has rarely been accomplished. In order to identify the mechanism of high-pressure dissociation of aggregates, we compared the simultaneous on- and off-pathway behavior following dilution of freshly denatured P22 tailspike protein. Tailspike assembly at 100 microg/mL was monitored at four temperatures using a combination of size-exclusion chromatography and native polyacrylamide gel electrophoresis (PAGE) and folding and aggregation rates and yields were determined. As temperature increased, the yield of native trimeric tailspike decreased from 26.1 +/- 1.3 microg/mL at 20 degrees C to 0 microg/mL at 37 degrees C. Pressure treatment dissociated 60% of the trapped aggregates created at 37 degrees C and yielded 19.8 +/- 1.1 microg/mL of native trimer following depressurization and incubation at 20 degrees C. The rate of refolding of "freshly denatured" tailspike was compared to that following pressure treatment. The trimer formation rate increased by a factor of roughly five, and the aggregate rate decreased by a factor of three, following pressure treatment. Circular dichroism and high-pressure intrinsic tryptophan fluorescence measurements support the model that a structured intermediate is formed in a rapid manner under high pressure from a pressure-sensitive aggregate population.

Glycoside Hydrolases↗

Membrane orientation and oligomerization of the small hydrophobic protein of human respiratory syncytial virus.

Previous work has demonstrated that the small hydrophobic (SH) protein of human respiratory syncytial virus (RSV) A2 strain is a 64 amino acid integral membrane protein that accumulates intracellularly as an unglycosylated major species (SH0), a minor species truncated at the amino terminus and two N-glycosylated species one of which contains a further addition of polylactosamine. In this study, the membrane orientation of SH0 was mapped by trypsinization of intact RSV-infected cells followed by washout, lysis and immunoprecipitation of protected fragments with antisera specific for the protein termini. This showed that the C terminus is extracellular and the SH protein was not detectably palmitylated. Analysis of the SH protein by sedimentation on sucrose gradients showed that it rapidly assembles into a homo-oligomer that co-sediments with the F protein tetramer. Interestingly, all forms of the SH protein were found in the oligomeric fraction. Chemical cross-linking generated species which appeared to represent dimers, trimers, tetramers and pentamers as well as a minor species of 180K which might correspond to the oligomeric form detected by sucrose gradient sedimentation.

Animals↗

Organization of the major and minor capsid proteins in human papillomavirus type 33 virus-like particles.

The organization of the major (L1) and minor (L2) proteins in the human papillomavirus capsid is still largely unknown. In this study we analysed the disulphide bonding between L1 proteins and the association of L2 proteins with capsomers using virus-like particles obtained in insect cells by co-expression of the L1 and L2 genes of human papillomavirus type 33. About 50% of the L1 protein molecules in these particles (1.29 g/cm3) formed disulphide-bonded trimers. Reduction of the intermolecular disulphide bonds by dithiotreitol (DTT) treatment caused disassembly of virus-like particles into capsomers. This indicates that disulphide bonds between capsomers at the threefold symmetry positions of the capsid are essential for the assembly of the papillomavirus capsid. In contrast, the L2 protein was not engaged in intermolecular disulphide bonding. The L2 protein remained associated with capsomers on disassembly by treatment with DTT. When the disassembly was carried out in 0.65 M-NaCl, complete L2 protein molecules bound preferentially to capsomer oligomers, whereas truncated L2 protein molecules bound only to monomers. In 0.15 M-NaCl only complete L2 protein molecules remained bound to capsomers. This indicates that different regions of the L2 protein molecule are differentially involved in the association of the papillomavirus capsid.

Animals↗

Hexameric assembly of the bifunctional methylerythritol 2,4-cyclodiphosphate synthase and protein-protein associations in the deoxy-xylulose-dependent pathway of isoprenoid precursor biosynthesis.

The bifunctional methylerythritol 4-phosphate cytidylyltransferase methylerythritol 2,4-cyclodiphosphate synthase (IspDF) is unusual in that it catalyzes nonconsecutive reactions in the 1-deoxy-D-xylulose 5-phosphate (DOXP) pathway of isoprenoid precursor biosynthesis. The crystal structure of IspDF from the bacterial pathogen Campylobacter jejuni reveals an elongated hexamer with D3 symmetry compatible with the dimeric 2C-methyl-D-erythritol-4-phosphate cytidylyltransferase and trimeric 2C-methyl-D-erythritol-2,4-cyclodiphosphate synthase monofunctional enzymes. Complex formation of IspDF with 4-diphosphocytidyl-2C-methyl-D-erythritol kinase (IspE), the intervening enzyme activity in the pathway, has been observed in solution for the enzymes from C. jejuni and Agrobacterium tumefaciens. The monofunctional enzymes (2C-methyl-D-erythritol-4-phosphate cytidylyltransferase, IspE, and 2C-methyl-D-erythritol-2,4-cyclodiphosphate synthase) involved in the DOXP biosynthetic pathway of Escherichia coli also show physical associations. We propose that complex formation of the three enzymes at the core of the DOXP pathway can produce an assembly localizing 18 catalytic centers for the early stages of isoprenoid biosynthesis.

Amino Acid Sequence↗