Lung surfactant protein A (SP-A) interactions with model lung surfactant lipids and an SP-B fragment

Surfactant protein A (SP-A) is the most abundant protein component of lung surfactant, a complex mixture of proteins and lipids. SP-A performs host defense activities and modulates the biophysical properties of surfactant in concerted action with surfactant protein B (SP-B). Current models of lung surfactant mechanism generally assume SP-A functions in its octadecameric form. However, one of the findings of this study is that when SP-A is bound to detergent and lipid micelles that mimic lung surfactant phospholipids, it exists predominantly as smaller oligomers, in sharp contrast to the much larger forms observed when alone in water. These investigations were carried out in sodium dodecyl sulfate (SDS), dodecylphosphocholine (DPC), lysomyristoylphosphatidylcholine (LMPC), lysomyristoylphosphatidylglycerol (LMPG), and mixed LMPC + LMPG micelles, using solution and diffusion nuclear magnetic resonance (NMR) spectroscopy. We have also probed SP-A's interaction with Mini-B, a biologically active synthetic fragment of SP-B, in the presence of micelles. Despite variations in Mini-B's own interactions with micelles of different compositions, SP-A is found to interact with Mini-B in all micelle systems and perhaps to undergo a further structural rearrangement upon interacting with Mini-B. The degree of SP-A-Mini-B interaction appears to be dependent on the type of lipid headgroup and is likely mediated through the micelles, rather than direct binding.     

Expression and characterization of a redox-sensing green fluorescent protein (reduction-oxidation-sensitive green fluorescent protein) in Arabidopsis

Arabidopsis (Arabidopsis thaliana) was transformed with a redox-sensing green fluorescent protein (reduction-oxidation-sensitive green fluorescent protein [roGFP]), with expression targeted to either the cytoplasm or to the mitochondria. Both the mitochondrial and cytosolic forms are oxidation-reduction sensitive, as indicated by a change in the ratio of 510 nm light (green light) emitted following alternating illumination with 410 and 474 nm light. The 410/474 fluorescence ratio is related to the redox potential (in millivolts) of the organelle, cell, or tissue. Both forms of roGFP can be reduced with dithiothreitol and oxidized with hydrogen peroxide. The average resting redox potentials for roots are -318 mV for the cytoplasm and -362 mV for the mitochondria. The elongation zone of the Arabidopsis root has a more oxidized redox status than either the root cap or meristem. Mitochondria are much better than the cytoplasm, as a whole, at buffering changes in redox. The data show that roGFP is redox sensitive in plant cells and that this sensor makes it possible to monitor, in real time, dynamic changes in redox in vivo.     

Expression of mature pulmonary surfactant-associated protein B (SP-B) in Escherichia coli using truncated human SP-B cDNAs

The present communication documents attempts to produce the mature form of human surfactant-associated protein B (SP-B) by modification of the 5' and 3' regions of the cDNA and expression of the truncated cDNAs after insertion into the vector pKK223-3. The 5' end of a cDNA for human SP-B (1407 base pairs) was reconstructed through the ligation of synthetic oligonucleotides to an internal PstI site in the 5' region. This construction coded for the initiation of protein synthesis at a Met codon adjacent to a codon for the N-terminal Phe of the mature polypeptide. Variable amounts of the 3' end of the human SP-B cDNA were deleted with mung bean nuclease and exonuclease III. The resulting blunt-ended 3' fragments were then ligated to a synthetic oligonucleotide linker designed to create a stop codon. The modified 5' and 3' ends were ligated to a short PstI-BamHI fragment isolated from the SP-B cDNA and inserted into the expression vector pKK223-3. In vitro translation of sense mRNAs derived from the truncated SP-B cDNAs yielded oligopeptides of appropriate molecular weights, as indicated by urea - sodium dodecyl sulphate - polyacrylamide gel electrophoresis of either intact or immunoprecipitated reaction mixtures. Expression of SP-B in Escherichia coli was confirmed by Northern blot analysis for the mRNAs corresponding to the truncated cDNAs in appropriately transformed bacteria induced with the galactose analog isopropyl-beta-thiogalactoside. Western blot analysis using rabbit antisera prepared against bovine SP-B confirmed the presence of mature SP-B in lipid extracts of transformed E. coli, but the amounts were very small.(ABSTRACT TRUNCATED AT 250 WORDS)     

Topographical organization of the N-terminal segment of lung pulmonary surfactant protein B (SP-B(1-25)) in phospholipid bilayers

The location and depth of each residue of lung pulmonary surfactant protein B (SP-B(1-25)) in a phospholipid bilayer (PB) was determined by fluorescence quenching using synthesized single-residue-substituted peptides that were reconstituted into 1,2-dipalmitoyl phosphatidylcholine (DPPC)-enriched liposomes. The single-residue substitutions in peptides were either aspartate or tryptophan. The aspartate was subsequently labeled with the N-cyclohexyl-N'-(4-(dimethylamino)naphthyl)carbodiimide (NCD-4) fluorophore, whereas tryptophan is autofluorescent. Spin-labeled compounds, 5-doxylstearic acid (5-DSA), 7-doxylstearic acid (7-DSA), 12-doxylstearic acid (12-DSA), 4-(N,N-dimethyl-N-hexadecyl)ammonium-2,2,6,6-tetramethylpiperidine-1-oxyl iodide (CAT-16), and 4-trimethylammonium-2,2,6,6-tetramethylpiperidine-1-oxy iodide (CAT-1), were used in the quenching experiments. The effective quenching order is determined by the accessibility of the quencher to a fluorescent group on the peptide. The order of quenching efficiency provides information about the relative locations of individual residues in the PB. Our data indicate that residues Phe1-Pro6 are located at the surface of PB, residues Tyr7-Trp9 are embedded in PB, and residues Leu10-Ile22 are involved in an amphipathic alpha-helix with its axis parallel to the surface of PB; residues Pro23-Gly25 reside at the surface. The effects of intermolecular disulfide bond formation in the SP-B(1-25) dimer were also investigated. The experiments suggest that the SP-B helix A has to rotate at an angle to form a disulfide bond with the neighboring cysteine, which makes the hydrophobic sides of the amphipathic helices face each other, thus forming a hydrophobic domain. The detailed topographical mapping of SP-B(1-25) and its dimer in PB provides new insights into the conformational organization of the lung pulmonary surfactant proteins in the environment that mimics the native state. The environment-specific conformational flexibility of the hydrophobic domain created by SP-B folding may explain the key functional properties of SP-B including their impact on phospholipid transport between the lipid phases and in modulating the cell inflammatory response during respiratory distress syndrome.     

NMR structure of lung surfactant peptide SP-B(11-25)

Surfactant protein B (SP-B) is a 79-residue essential component of lung surfactant, the film of lipid and protein lining the alveoli, and is the subject of great interest for its role in lung surfactant replacement therapies. Here we report circular dichroism results and the solution NMR structure of SP-B(11-25) (CRALIKRIQAMIPKG) dissolved in CD(3)OH at 5 degrees C. This is the first report of NMR data related to the protein SP-B, whose structure promises to help elucidate the mechanism of its function. Sequence-specific resonance assignments were made for all observable (1)H NMR signals on the basis of standard 2D NMR methods. Structures were determined by the simulated annealing method using restraints derived from 2D NOESY data. The calculations yielded 17 energy-minimized structures, three of which were subjected to 0.95 ns of restrained dynamics to assess the relevance of the static structures to more realistic dynamic behavior. Our CD and NMR data confirm that this segment is an amphiphilic alpha helix from approximately residue L14 through M21. The backbone heavy-atom RMSD for residues L14 through M21 is 0.09 +/- 0.12 A, and the backbone heavy-atom RMSD for the whole peptide is 0.96 +/- 2.45 A, the difference reflecting fraying at the termini. Aside from the disordered termini, the minimized structures represent dynamic structures well. Structural similarity to the homologous regions of related saposin-like proteins and the importance of the distribution of polar residues about the helix axis are discussed.     

Synthesis and characterization of a long-acting fluorescent analog of vasotocin

This study reports the synthesis of l-desamino-7-lysine- (fluorescein)-8-arginine-vasotocin (7-lys(flu) dAVT), and describes its biological activity in the isolated urinary bladder of the toad Bufo marinus. 7-lys(flu)dAVT was fully active in increasing bladder permeability to water. A half-maximal hydroosmotic response was obtained at a concentration of 3 x 10(-8) M. A unique feature of this analog was that its response was not readily reversed after removal of the analog from the serosal bathing solution. The residual response to 7-lys(flu) dAVT was abolished (reversibly) by reducing serosal bath pH from 7.4 to 6.0, suggesting that acidification inhibits the response to analog at a step after the interaction of the ligand with its receptor. Although 8-arginine-vasopressin (AVP) was about 20 times more potent than 7-lys(flu)dAVT in increasing membrane permeability to water, the response to AVP was readily reversed. Preincubation of bladders with 7-lys(flu)dAVT in the presence of AVP blocked the residual response to 7-lys(flu) dAVT. These studies suggest that 7-lys(flu)dAVT forms a stable and physiologically active complex with hydrosmotic toad bladder receptors, and it may, therefore, serve as a useful fluorescent marker for receptors in tissues from this and other species that use vasotocin as an antidiuretic/pressor principle.     

Pulmonary surfactant proteins SP-B and SP-C in spread monolayers at the air-water interface: I. Monolayers of pulmonary surfactant protein SP-B and phospholipids.

The effects of pulmonary surfactant protein SP-B on the properties of monolayers of dipalmitoylphosphatidylcholine (DPPC) and dipalmitoylphosphatidylglycerol (DPPG), and a mixture of DPPC:DPPG (7:3, mol:mol) were studied using spread films at the air-water interface. The addition of SP-B to the phospholipid monolayers gave positive deviations from additivity of the mean areas in the films. At low protein concentrations (less than 45% amino acid residues which corresponds to 0.5 mol% or 10 weight% SP-B) monolayers of SP-B/DPPC, SP-B/DPPG and SP-B/(DPPC:DPPG) collapsed at surface pressures of about 70 mN.m-1, comparable to those of the lipids alone. At higher concentrations of SP-B in the protein-lipid monolayers, kink points appeared in the isotherms at about 40-45 mN.m-1, implying possible exclusion of material from the films, hence, changes in the original monolayer compositions. Calculated analyses of the monolayer compositions as a function of surface pressure indicated that nearly pure SP-B, associated with small amounts of phospholipid (2-3 lipid molecules per SP-B dimer), was lost from SP-B/DPPC, SP-B/DPPG, and SP-B/(DPPC:DPPG) films at surface pressures higher than 40-45 mN.m-1. The results are consistent with a low effectiveness of SP-B in removing saturated phospholipids, DPPC or DPPG, from the spread SP-B/phospholipid films.     

Critical structure-function determinants within the N-terminal region of pulmonary surfactant protein SP-B

Surfactant protein SP-B is absolutely required for the surface activity of pulmonary surfactant and postnatal lung function. The results of a previous study indicated that the N-terminal segment of SP-B, comprising residues 1–9, is specifically required for surface activity, and suggested that prolines 2, 4, and 6 as well as tryptophan 9, may constitute essential structural motifs for protein function. In this work, we assessed the role of these two motifs in promoting the formation and maintenance of surface-active films. Three synthetic peptides were synthesized including a peptide corresponding to the N-terminal 37 amino acids of native SP-B and two variants in which prolines 2, 4, 6, or tryptophan 9 were substituted by alanines. All three synthetic peptides were surface-active, as expected from their amphipathic structure. The peptides were also able to insert into dipalmitoylphosphatidylcholine/palmitoyloleoylphosphatidylglycerol (7:3 w/w ratio) monolayers preformed at pressures >30 mN/m, indicating that they perturb and insert into membranes. Substitution of alanine for tryptophan at position 9 significantly decreased both the rate of adsorption/insertion of the peptide into the interface and reinsertion of surface-active material excluded from the film during successive compression-expansion cycles. Substitution of alanines for prolines at positions 2, 4, and 6 did not produce substantial changes in the rate of adsorption/insertion; however, reinsertion of surface-active material into the expanding interface film was not as effective as in the presence of the nativelike peptide. These results suggest that W9 is critical for optimal interface affinity, whereas prolines may promote a conformation that facilitates rapid insertion of the peptide into phospholipid monolayers compressed to the highest pressures during compression-expansion cycling.     

Functional characterization of the different oligomeric forms of human surfactant protein SP-D

Surfactant Protein D (SP-D) is a collectin protein that participates in the innate immune defense of the lungs. SP-D mediates the clearance of invading microorganisms by opsonization, aggregation or direct killing, which are lately removed by macrophages.SP-D is found as a mixture of trimers, hexamers, dodecamers and higher order oligomers, “fuzzy balls”. However, it is unknown whether there are differences between these oligomeric forms in functions, activity or potency.In the present work, we have obtained fractions enriched in trimers, hexamers and fuzzy balls of full-length recombinant human (rh) SP-D by size exclusion chromatography, in a sufficient amount to perform functional assays. We have evaluated the differences in protein lectin-dependent activity relative to aggregation and binding to E. coli, one of the ligands of SP-D in vivo. Fuzzy balls are the most active oligomeric form in terms of binding and aggregation of bacteria, achieving 2-fold binding higher than hexamers and 50% bacteria aggregation at very short times. Hexamers, recently described as a defined oligomeric form of the protein, have never been isolated or tested in terms of protein activity. rhSP-D hexamers efficiently bind and aggregate bacteria, achieving 50–60% aggregation at final time point and high protein concentrations. Nevertheless, trimers are not able to aggregate bacteria, although they bind to them. Therefore, SP-D potency, in functions that relay on the C-lectin activity of the protein, is proportional to the oligomeric state of the protein.     

Liver carboxylesterase cleaves surfactant protein (SP-) B and promotes surfactant subtype conversion

Conversion of the biophysically active large surfactant aggregate subtype of alveolar surfactant into the less surface active small surfactant aggregates occurs in vitro and in vivo, possibly in dependency of a carboxylesterase, entitled surfactant convertase. The substrate has yet not been safely identified. Utilizing the in vitro cycling assay we investigated conversion of an organic rabbit lavage extract reconstituted with SP-A. Porcine liver carboxylesterase, which is closely related to surfactant convertase, induced subtype conversion to a similar degree as compared with native lavage fluid containing endogenous convertase. In addition, we asked for cleavage products of SP-B and identified a approximately 12 kDa band upon cycling with liver carboxylesterase, having the same N-terminus as mature SP-B. A band of same molecular weight was found in native lavage fluid after in vitro conversion mediated by the endogenous convertase. We conclude that SP-B plays a pivotal role during subtype conversion and represents the substrate for surfactant convertase.     

Perturbation of DPPC bilayers by high concentrations of pulmonary surfactant protein SP-B

Deuterium (²H) NMR has been used to observe perturbation of dipalmitoylphosphatidylcholine (DPPC) bilayers by the pulmonary surfactant protein B (SP-B) at concentrations up to 17% (w/w). Previous ²H NMR studies of DPPC/dipalmitoylphosphatidylglycerol (DPPG) (7:3) bilayers containing up to 11% (w/w) SP-B and DPPC bilayers containing up to 11% (w/w) synthetic SP-B indicated a slight effect on bilayer chain order and a more substantial effect on motions that contribute to decay of quadrupole echoes obtained from bilayers of deuterated DPPC. This is consistent with the perturbation of headgroup-deuterated DPPC reported here for bilayers containing 6 and 9% (w/w) SP-B. For the higher concentrations of SP-B investigated in the present work, ²H NMR spectra of DPPC deuterated in both the headgroup and chain display a prominent narrow component consistent with fast, large amplitude reorientation of some labeled lipid. Similar spectral perturbations have been reported for bilayers in the presence of the antibiotic polypeptide nisin. The observation of large amplitude lipid reorientation at high SP-B concentration could indicate that SP-B can induce regions of high bilayer curvature and thus provides some insight into local interaction of SP-B with DPPC. Such local interactions may be relevant to the formation, in vitro and in vivo, of tubular myelin, a unique structure found in extracellular pulmonary surfactant, and to the delivery of surfactant material to films at the air–water interface.Abbreviations DPPC 1,2-dipalmitoyl-sn-glycero-3-phosphocholine - DPPG 1,2-dipalmitoyl-sn-glycero-3-phosphoglycerol - DPPC-d₆₂ 1,2-perdeuterodipalmitoyl-sn-glycero-3-phosphocholine - DPPC-d₄ 1,2-dipalmitoyl-sn-glycero-3-phospho-(, perdeutero)-choline     

Raman spectroscopic studies of model human pulmonary surfactant systems: phospholipid interactions with peptide paradigms for the surfactant protein SP-B

The temperature dependence of dipalmitoylphosphatidylcholine (DPPC)/phosphatidylglycerol (PG) multilayers, reconstituted with various synthetic peptides for modeling human lung surfactant, was monitored by vibrational Raman spectroscopy. The synthetic peptides consisted, respectively, of residues 59-81 of the human surfactant protein SP-B and 21 amino acid residue peptides containing repeating units of arginine separated by either four or eight leucines (RL4 or RL8). Each peptide demonstrated the ability to reduce significantly the surface tension of analogues of the phospholipid mixture used in the Raman studies. Raman spectroscopic integrated band intensities and relative peak height intensity ratios, two spectral parameters used to determine bilayer disorder, provided sensitive probes for characterizing multilayer perturbations in the reconstituted liposomes. Temperature profiles derived from the various Raman intensity parameters for the 3100-2800-cm-1 carbon-hydrogen (C-H) stretching mode region, a spectral interval representative of acyl chain vibrations, reflected lipid reorganizations due to the bilayer interactions of these peptides. For the three reconstituted multilamellar surfactant systems, the gel-to-liquid-crystalline phase-transition temperatures Tm, defined by acyl chain C-H stretching mode order/disorder parameters, increased from 35 degrees C in the peptide free system to 37-38 degrees C, indicating increased lipid headgroup constraints for the model liposomes. Although the values of Tm were similar for the three recombinant lipid/peptide assemblies, individual phase-transition cooperativities varied significantly between systems and between spectroscopically derived order/disorder parameters.     

Isolation and characterization of the cDNA for pulmonary surfactant-associated protein-B (SP-B) in the rabbit

Pulmonary surfactant contains phospholipids including dipalmitoyl-phosphatidylcholine and three surfactant-associated proteins designated SP-A, SP-B and SP-C. A cDNA for rabbit SP-B has been isolated from a fetal (30 days gestation) rabbit lung cDNA library constructed in lambda gt11. The cDNA and deduced amino acid sequences show strong homology with the cDNAs and predicted 40 kDa proproteins for human and canine SP-B. Strong homology is also observed with the amino acid sequences directly determined for the mature 8 kDa bovine and porcine SP-B isolated from lung lavage. SP-B is remarkable for its high cysteine and proline content and for the hydrophobic nature of the organic solvent-soluble, mature protein. In vitro translation of sense but not antisense RNA transcribed from the cDNA led to the production of 40 kDa and 32 kDa proteins. These proteins were immunoprecipitated by an antibody raised against bovine SP-B. Northern blot analysis revealed the mRNA for rabbit SP-B appears in fetal rabbit lung late in gestation and falls slightly in the neonate.     

Dimeric N-terminal segment of human surfactant protein B (dSP-B(1-25)) has enhanced surface properties compared to monomeric SP-B(1-25)

Surfactant protein B (SP-B) is a 17-kDa dimeric protein produced by alveolar type II cells. Its main function is to lower the surface tension by inserting lipids into the air/liquid interface of the lung. SP-B's function can be mimicked by a 25-amino acid peptide, SP-B(1-25), which is based on the N-terminal sequence of SP-B. We synthesized a dimeric version of this peptide, dSP-B(1-25), and the two peptides were tested for their surface activity. Both SP-B(1-25) and dSP-B(1-25) showed good lipid mixing and adsorption activities. The dimeric peptide showed activity comparable to that of native SP-B in the pressure-driven captive bubble surfactometer. Spread surface films led to stable near-zero minimum surface tensions during cycling while protein free, and films containing SP-B(1-25) lost material from the interface during compression. We propose that dimerization of the peptide is required to create a lipid reservoir attached to the monolayer from which new material can enter the surface film upon expansion of the air/liquid interface. The dimeric state of SP-B can fulfill the same function in vivo.     

Identification of surfactant proteolipid SP-B in human surfactant and fetal lung

Surfactant proteolipid (SP-B) is one of several hydrophobic peptides detected in organic extracts of pulmonary surfactant and associated with the dramatic surface-active properties of surfactant phospholipids. In the present study human SP-B was identified as a protein with a relative molecular weight (Mr) of 7,500-8,000 under reducing conditions; protein of Mr 18,000 was detected under nonreducing conditions by immunoblot analysis of organic extracts of bovine and human surfactant utilizing an antiserum directed against a 60-amino acid synthetic SP-B peptide. This peptide antiserum was subsequently used to identify SP-B in explant cultures of 18- to 23-wk gestation human fetal lung. Immunoprecipitation of explants labeled with [35S]methionine after 48 h of culture identified proteins of Mr 40,000-42,000, 25,000, and 18,000 after electrophoresis under nonreducing conditions. The Mr 18,000 form was reduced to Mr 7,500-8,000 in the presence of beta-mercaptoethanol. These molecular forms likely represent the SP-B precursor protein, a proteolytic intermediate, and the mature SP-B peptide, respectively. Immunocytochemistry with the peptide antiserum localized SPL(Phe) in granular inclusions in the apical region of type II-like epithelial cells, a pattern of staining similar to that observed for the major surfactant-associated protein of Mr 26,000-38,000 (SP-A). SP-B is a novel pulmonary surfactant-associated protein that is synthesized by the human alveolar type II epithelial cell as an Mr 40,000-42,000 precursor that is subsequently proteolytically processed to Mr 7,500-8,000.     

Design and characterization of a fluorescent ghrelin analog for imaging the growth hormone secretagogue receptor 1a

Ghrelin is a 28-amino acid peptide hormone produced in the stomach. It binds to the growth hormone secretagogue receptor 1a (GHS-R1a), a class A G-protein-coupled receptor. In the present study, we describe the design, synthesis and characterization of a truncated, 18-amino acid analog of ghrelin conjugated to a fluorescent molecule, fluorocein isothiocyanate (FITC), through the addition of a lysine at its C terminus ([Dpr(octanoyl)(3), Lys(fluorescein)(19)]ghrelin(1-19)). Receptor binding affinity of this novel fluorescein-ghrelin(1-18) was similar to that of wild-type ghrelin and a synthetic GHS-R1a ligand, hexarelin. Live cell imaging in CHO/GHS-R1a cells demonstrated cell surface receptor labeling and internalization, and agonist activity of fluorescein-ghrelin(1-18) was confirmed by increased phosphorylation of ERK1/2. We also show that GHS-R1a protein is expressed primarily in the heart when compared to all other organs, suggesting high receptor density in the left ventricle. Finally, we demonstrate that fluorescein-ghrelin(1-18) binds specifically to heart tissue in situ, and its binding is displaced by both wt ghrelin and hexarelin. We have therefore developed a novel imaging probe, fluorescein-ghrelin(1-18), that can be used to image GHS-R1a in situ, for the purposes of investigating mechanisms of receptor trafficking or pharmacological agents that target GHS-R1a.     

Intrinsic structural and functional determinants within the amino acid sequence of mature pulmonary surfactant protein SP-B

Pulmonary surfactant protein SP-B is absolutely required for proper function of surfactant in the alveoli, and is an important component of therapeutical surfactant preparations used to treat respiratory pathologies. To explore inherent structural and functional determinants within the amino acid sequence of mature SP-B, porcine SP-B has been subjected to extensive disulfide reduction under highly denaturing conditions and to cysteine carboxyamidomethylation, and the structure, lipid-protein interactions, and surface activity of this modified form have been characterized. Refolding of the reduced protein yielded a form (SP-Br) with secondary structure practically identical to that of the native disulfide-linked SP-B dimer. Reduced SP-Br exhibited higher structural flexibility than native SP-B, as indicated by a higher susceptibility of fluorescence emission to quenching by acrylamide and biphasic behavior during interaction of the protein with lipid bilayers and monolayers. SP-Br had, however, effects similar to those of native SP-B on the thermotropic properties of dipalmitoylphosphatidylcholine (DPPC) bilayers. SP-Br was more effective than native SP-B in promoting interfacial adsorption of phospholipid bilayers into interfacial films, presumably because of its higher structural flexibility, and retained the ability of native SP-B to stabilize DPPC interfacial films compressed to pressures near collapse against spontaneous relaxation. SP-Br also mimicked the behavior of native SP-B in lipid-protein films subjected to dynamic compression-expansion cycling in a captive bubble surfactometer, but only in the presence of phosphatidylglycerol (PG), the main anionic phospholipid in surfactant. The presence of PG appears to be required for SP-Br to acquire the appropriate tertiary folding to produce progressively more efficient lipid-protein films capable of reaching very high pressures upon limited compression with almost no hysteresis.