Carboxymethyllysine in dermal tissues of diabetic and nondiabetic patients with chronic renal failure: relevance to glycoxidation damage

Carboxymethyllysine (CML) is currently recognized as a major advanced glycation end product and a marker for glycoxidation. Plasma CML levels are increased in patients with chronic renal failure (CRF). However, significance and mechanism of CML accumulation in these patients are poorly understood. The objective of the present study was to analyze CML in soluble and collagen-binding fractions of the dermis to investigate CML deposition and formation and collagen damage related to CML accumulation in patients with CRF. Skin samples (among them autopsy samples) were obtained from 33 subjects: 8 nondiabetic CRF patients, 7 diabetic predialysis patients with CRF (CRF-DM), 7 hemodialysis patients, and 11 control subjects without either CRF or DM. The dermal samples were extracted sequentially by phosphate-buffered normal saline, pepsin, and collagenase. The extracts were referred to as the soluble fraction and the proteinase-extracted fraction (including pepsin-extracted and collagenase-extracted fractions). Our ELISA assay for CML in dermal collagen from predialysis patients with CRF (CRF and CRF-DM groups) demonstrated that the levels of CML in both the soluble fraction (containing soluble CML which was mainly determined by serum clearance) and the structural collagen-binding proteinase-extracted fraction (in which high CML levels could be a strong indication of in situ formation) were increased and could not be completely reduced after hemodialysis in CRF-DM and CRF groups. These results suggest that accumulation of CML may be due to both a low serum clearance and/or increased in situ CML formation in CRF. CML contents in the proteinase extracted fraction inversely correlated with the susceptibility of collagen to extraction by proteinases (n = 33, r = -0.59, p < 0.001). Our results provide the first biochemical evidence that CML level is increased in both the soluble and collagen-binding fractions and that increased CML level resulted in increased fractions of proteinase-resistant collagen in dermal extracts of patients with CRF.

Enhanced expression of mRNAs of antisecretory factor-1, gp96, DAD1 and CDC34 in human hepatocellular carcinomas

To identify differentially expressed genes in hepatocarcinogenesis, we performed differential display analysis using surgically resected hepatocellular carcinoma (HCC) and adjacent non-tumorous liver tissues. We identified four cDNA fragments upregulated in HCC samples, encoding antisecretory factor-1 (AF), gp96, DAD1 and CDC34. Northern blot analysis demonstrated that these mRNAs were expressed preferentially in HCCs compared with adjacent non-tumorous liver tissues or normal liver tissues from non-HCC patients. The expression of these mRNAs was increased along with the histological grading of HCC tissues. These mRNA levels were also high in three human HCC cell lines (HuH-7, HepG2 and HLF), irrespective of the growth state. We also demonstrate that sodium butyrate, an inducer of differentiation, downregulated the expression of AF and gp96 mRNAs, supporting in part our pathological observation. Immunohistochemical analysis revealed that gp96 and CDC34 proteins were preferentially accumulated in cytoplasm and nuclei of HCC cells, respectively. Overexpression of these genes could be an important manifestation of HCC phenotypes and should provide clues to understand the molecular basis of hepatocellular carcinogenesis.

Scavenger receptor class B type I-mediated reverse cholesterol transport is inhibited by advanced glycation end products

Cellular interactions of advanced glycation end products (AGE) are mediated by AGE receptors. We demonstrated previously that class A scavenger receptor types I and II (SR-A) and CD36, a member of class B scavenger receptor family, serve as the AGE receptors. In this study, we investigated whether scavenger receptor class B type I (SR-BI), another receptor belonging to class B scavenger receptor family, was also an AGE receptor. We used Chinese hamster ovary (CHO) cells overexpressed hamster SR-BI (CHO-SR-BI cells). (125)I-AGE-bovine serum albumin (AGE-BSA) was endocytosed in a dose-dependent fashion and underwent lysosomal degradation by CHO-SR-BI cells. (125)I-AGE-BSA exhibited saturable binding to CHO-SR-BI cells (K(d) = 8.3 microg/ml). Endocytic uptake of (125)I-AGE-BSA by CHO-SR-BI cells was completely inhibited by oxidized low density lipoprotein (LDL) and acetylated LDL, whereas LDL exerted only a weak inhibitory effect (<20%). Cross-competition experiments showed that AGE-BSA had no effect on HDL binding to these cells and vice versa. Interestingly, however, SR-BI-mediated selective uptake of HDL-CE was completely inhibited by AGE-BSA in a dose-dependent manner (IC(50) <10 microg/ml). Furthermore, AGE-BSA partially inhibited (by <30%) the selective uptake of HDL-CE in human hepatocarcinoma HepG2 cells (IC(50) <30 microg/ml). In addition, [(3)H]cholesterol efflux from CHO-SR-BI cells to HDL was significantly inhibited by AGE-BSA in a dose-dependent manner (IC(50) <30 microg/ml). Our results indicate that AGE proteins, as ligands for SR-BI, effectively inhibit both SR-BI-mediated selective uptake of HDL-CE and cholesterol efflux from peripheral cells to HDL, suggesting that AGE proteins might modulate SR-BI-mediated cholesterol metabolism in vivo.

Effects of mechanical stimulation on gene expression of articular chondrocytes in polylayer culture

Mechanical loads are constantly being applied to articular cartilage. However, comparatively few studies have investigated the effects of mechanical stress on the gene expression of chondrocytes. Hence, the objective of the present study was to clarify the effects of mechanical stress on cultured chondrocytes. Articular chondrocytes of rabbits were isolated and placed in minimun essential medium eagle a modification containing 10% fetal bovine serum. The chondrocytes were cultured in polylayer in polypropylene tubes. After 48 hours, centrifugal stress (2.7 MJ) was applied once every 24 hours for 28 consecutive days. The mRNA expression of insulin-like growth factor-I (IGF-I) and cartilage-specific genes (type II collagen and aggrecan) in chondrocytes, cell count, wet tissue mass and protein content were subsequently measured. The results showed that the mRNA expression of the IGF-I gene for the stress groups was significantly greater than that of the control group from days 3 to 5 of incubation, as was the mRNA expression of the type II collagen gene from days 7 to 14 of incubation. However, there were no significant differences in the mRNA expression of the aggrecan gene between the control and stress groups. The cell count for the stress groups was significantly higher from days 7 to 28 of incubation, and the wet tissue mass and protein content were significantly higher from days 14 to 28 of incubation. These findings suggest that one of the mechanisms by which mechanical stress increases the number of cultured chondrocytes and the volume of extracellular matrix is to increase IGF-I expression at the early stage of incubation.

Drastic high magnetic field effect on suppression of Escherichia coli death

When Escherichia coli B was aerobically grown in a medium containing one-fourth the concentration of the LB medium supplemented with glutamic acid at 43 degrees C under an inhomogeneous 5.2-6.1 T magnetic field, the number of cells in the stationary phase under the high magnetic field was 100,000 times higher than that under a geomagnetic field. The finding that the amount of sigma S factor encoded by the rpoS gene under the high magnetic field was larger than that under the control geomagnetic field indicated that the activity of the rpoS gene was affected by the high magnetic field.

Formation of advanced glycation end-product-modified superoxide dismutase-1 (SOD1) is one of the mechanisms responsible for inclusions common to familial amyotrophic lateral sclerosis patients with SOD1 gene mutation, and transgenic mice expressing human SOD1 gene mutation

Neuronal Lewy body-like hyaline inclusions (LBHI) and astrocytic hyaline inclusions (Ast-HI) are morphological hallmarks of certain familial amyotrophic lateral sclerosis (FALS) patients with superoxide dismutase-1 (SOD1) gene mutations, and transgenic mice expressing the human SOD1 gene mutation. The ultrastructure of inclusions in both diseases is identical: the essential common constituents are granule-coated fibrils approximately 15-25nm in diameter and granular materials. Detailed immunohistochemical analyses have shown that the essential common protein of the inclusions in both diseases is an SOD1 protein. This finding, together with the immunoelectron microscopy finding that the abnormal granule-coated fibrils comprising the inclusions are positive for SOD1, indicates that these granule-coated fibrils containing SOD1 are important evidence for mutant SOD1-linked disease in human and mouse. For immunoelectron microscopy, the granule-coated fibrils are modified by advanced glycation endproducts (AGE) such as N(epsilon)-carboxymethyl lysine, pyrraline and pentosidine (Maillard reaction). Based on the fact that AGE themselves are insoluble molecules with direct cytotoxic effects, the granule-coated fibrils and granular materials are not digested by the lysosomal and ubiquitin systems. The neurons and astrocytes of the normal individuals and non-transgenic mice show no significant immunoreactivity for AGE. Considered with the mutant-SOD1 aggregation toxicity, a portion of the SOD1 comprising both types of the inclusion is modified by the AGE, and the formation of the AGE-modified SOD1 (probably AGE-modified mutant SOD1) is one of the mechanisms responsible for the aggregation (i.e. granule-coated fibril formation).

The role of galectin-3 in endocytosis of advanced glycation end products and modified low density lipoproteins

Galectin-3, a member of beta-galactoside-binding lectin family, is suggested to be an AGE-receptor. To examine this possibility, we prepared CHO cells overexpressing human galectin-3 (galectin-3-CHO cells). Galectin-3-CHO cells showed a specific and saturable binding to (125)I-AGE-BSA with Kd of 3.1 microg/ml. (125)I-AGE-BSA was endocytosed by galectin-3-CHO cells and underwent lysosomal degradation. The endocytosis of (125)I-AGE-BSA was inhibited not only by unlabeled AGE-BSA but also by acetylated LDL and oxidized LDL, ligands for the scavenger receptor family. Furthermore, (125)I-oxidized LDL and (125)I-acetylated LDL were actively endocytosed by galectin-3-CHO cells and the incubation with acetyl-LDL led to intracellular accumulation of cholesteryl esters, indicating the role of galectin-3 in endocytosis of AGE-proteins and modified LDLs. Since galectin-3 was localized and up-regulated in foam cells at human atherosclerotic lesions, the present results suggest that galectin-3 plays an important role in formation of atherosclerotic lesions in vivo, by modulating endocytic uptake of AGE-proteins and modified LDLs.

Cd36, a member of the class b scavenger receptor family, as a receptor for advanced glycation end products

Interaction of advanced glycation end products (AGE) with AGE receptors induces several cellular phenomena potentially relating to diabetic complications. Five AGE receptors identified so far are RAGE (receptor for AGE), galectin-3, 80K-H, OST-48, and SRA (macrophage scavenger receptor class A types I and II). Since SRA is known to belong to the class A scavenger receptor family, and the scavenger receptor collectively represents a family of multiligand lipoprotein receptors, it is possible that CD36, although belonging to the class B scavenger receptor family, can recognize AGE proteins as ligands. This was tested at the cellular level in this study using Chinese hamster ovary (CHO) cells overexpressing human CD36 (CD36-CHO cells). Cellular expression of CD36 was confirmed by immunoblotting and immunofluorescent microscopy using anti-CD36 antibody. Upon incubation at 37 degrees C, (125)I-AGE-bovine serum albumin (AGE-BSA) and (125)I-oxidized low density lipoprotein (LDL), an authentic ligand for CD36, were endocytosed in a dose-dependent fashion and underwent lysosomal degradation by CD36-CHO cells, but not wild-type CHO cells. In binding experiments at 4 degrees C, (125)I-AGE-BSA exhibited specific and saturable binding to CD36-CHO cells (K(d) = 5.6 microg/ml). The endocytic uptake of (125)I-AGE-BSA by these cells was inhibited by 50% by oxidized LDL and by 60% by FA6-152, an anti-CD36 antibody inhibiting cellular binding of oxidized LDL. Our results indicate that CD36 expressed by these cells mediates the endocytic uptake and subsequent intracellular degradation of AGE proteins. Since CD36 is one of the major oxidized LDL receptors and is up-regulated in macrophage- and smooth muscle cell-derived foam cells in human atherosclerotic lesions, these results suggest that, like oxidized LDL, AGE proteins generated in situ are recognized by CD36, which might contribute to the pathogenesis of diabetic macrovascular complications.

Glycoxidation and lipid peroxidation of low-density lipoprotein can synergistically enhance atherogenesis

OBJECTIVE

The purpose of this study was to clarify the role of glycoxidation and lipid peroxidation of low-density lipoprotein (LDL) in atherogenesis.

METHODS AND RESULTS

We examined the formation of N(epsilon)-(carboxymethyl) lysine (CML), a glycoxidation product, and malondialdehyde (MDA), a lipid peroxidation product, in vitro and their co-localization in human atherosclerotic lesions. Immunochemical analysis revealed that CML was formed in a time-dependent manner by human LDL incubated with copper ions and glucose, i.e. an in vitro model of glycoxidation of LDL. When LDL was exposed to copper ions alone, a small amount of CML was formed, however this was significantly less in oxidized LDL than glycoxidative LDL. In contrast, MDA formation was observed in both oxidation and glycoxidation of LDL, but not in glycation of LDL. Hexitol-lysine (HL), an Amadori product, was formed by both glycation and glycoxidation of LDL, but not by oxidation of LDL. Immunohistochemical analysis showed that CML and MDA accumulated mainly in macrophage/foam cells, while pyrraline, a non-oxidative product of glycation, and apolipoprotein B were localized in the extracellular matrix in atherosclerotic lesions. Atheromas were positive for CML and MDA, but negative for pyrraline. Macrophage/foam cells in atherosclerotic lesions exhibited co-localization of macrophage scavenger receptor-A with CML and MDA, but not with pyrraline.

CONCLUSION

Our results suggest that glycoxidation and lipid peroxidation of LDL synergistically promote the development of atherosclerotic lesions through interaction with macrophage scavenger receptor-A.

Induction of acyl-coenzyme A:cholesterol acyltransferase-1 by 1,25-dihydroxyvitamin D(3) or 9-cis-retinoic acid in undifferentiated THP-1 cells

We have previously shown that acyl-coenzyme A: cholesterol acyltransferase-1 (ACAT-1) protein content increases significantly during the human monocyte-macrophage differentiation process. To gain further insight, we used undifferentiated human monocytic THP-1 cells as a model system with which to examine whether ACAT-1 mRNA and protein content can be increased by treating cells with 1,25-dihydroxyvitamin D(3) [1,25-(OH)(2)D(3)] or with 9-cis-retinoic acid (9-cis-RA), two agents known to upregulate the expression of various genes during the monocyte-macrophage differentiation process. Immunoblot analysis with anti-human ACAT-1 antibodies revealed that ACAT-1 protein was increased by 2.6-fold, using 1,25-(OH)(2)D(3) at a physiological concentration (100 pM). ACAT-1 protein was also increased when using 9-cis-RA, but only at relatively high concentrations (0.1;-1 microM). Northern blot analysis revealed that among the four ACAT-1 mRNA transcripts (2.8, 3.6, 4.2, and 7.0 kb) examined, only the 2.8- and 3.6-kb transcripts were selectively increased. On the basis of enzyme assays in vitro, ACAT activity was increased 3.0-fold by using 100 nM 1,25-(OH)(2)D(3), and 1.8-fold by using 1 microM 9-cis-RA. Together, our results suggest that 1,25-(OH)(3) participates in ACAT-1 gene expression during the monocyte-macrophage differentiation process.

Ferroelectric valence transition and phase diagram of a series of charge-transfer complexes of 4,4'-dimethyltetrathiafulvalene and tetrahalo-p-benzoquinones

Variation of the ferroelectric phase transition has been investigated for a series of isomorphous donor (D)-acceptor (A) charge-transfer complexes composed of 4,4'-dimethyltetrathiafulvalene (DMTTF) and tetrahalo-p-benzoquinones by measurements of dielectric susceptibility, X-ray diffraction, and infrared molecular vibrational spectra. The neutral-ionic phase transition of DMTTF-p-chloranil at 65 K accompanies a dielectric peak anomaly associated with the DA stack dimerization. Successive halogen replacement by bromine in the component tetrahalo-p-benzoquinone molecule expands the lattice along the DA stack of the DMTTF complex, and reduces the critical temperature steeply toward zero temperature in an analogous way to the critical behavior of quantum ferroelectrics. The 2,6-dibromo-substituted compound showing the behavior of the quantum paraelectricity is located in the immediate vicinity of the quantum critical point of this phase diagram as signified also by enhancement of the ionicity, the dielectric susceptibility, and the dynamical dimeric distortion at the lowest temperature.

Advanced glycation end products in human optic nerve head

AIMS

To localise advanced glycation end products (AGEs) in human optic nerve head.

METHODS

Optic nerve samples from 13 elderly individuals (seven diabetics and six non-diabetics) were obtained at necropsy. Pyrraline, an advanced glycation end product, was immunohistochemically localised in the optic nerve heads.

RESULTS

In the diabetic subjects, moderate to intense immunoreactivity for pyrraline was detected in sclera, pia mater, cribriform plates, connective tissues in the optic nerve, and around vessels in the optic nerve and pia mater. Immunoreactivity for pyrraline was also detected around retinal vessels. In the non-diabetic subjects, slight or no immunoreactivity for pyrraline was found in cribriform plates and around the optic nerve vessels.

CONCLUSION

Accumulation of AGEs in cribriform plates and around vessels in the optic nerve may contribute to the development of optic neuropathy in diabetic patients.

The soluble interleukin 6 receptor: mechanisms of production and implications in disease

Interleukin 6 (IL-6) performs a prominent role during disease and has been described as both a pro- and anti-inflammatory cytokine. A key feature in the regulation of IL-6 responses has been the identification of a soluble interleukin 6 receptor (sIL-6R), which forms a ligand-receptor complex with IL-6 that is capable of stimulating a variety of cellular responses including proliferation, differentiation and activation of inflammatory processes. Elevated sIL-6R levels have been documented in numerous clinical conditions indicating that its production is coordinated as part of a disease response. Thus, sIL-6R has the potential to regulate both local and systemic IL-6-mediated events. This review will outline the central role of sIL-6R in the coordination of IL-6 responses. Details relating to the mechanisms of sIL-6R production will be provided, while the potential significance of sIL-6R during the development of clinical conditions will be emphasized. We want to convey, therefore, that when thinking about the inflammatory capability of IL-6, it is essential to consider not only the action of IL-6 itself, but also the effect sIL-6R may have on cellular processes.

Neutral-ionic phase separation and one-dimensional ferroelectricity in organic relaxors

Microscopic phase segregation by chemical doping and resultant anomalous dielectric response have been investigated for tetrathiafulvalene-p-chloranil complex doped with trichloro-p-benzoquinone ( QCl3). Beyond a critical QCl3 content, the system shows a behavior of relaxor ferroelectrics, as characterized by strong frequency dispersion and a rounded peak shape of gigantic dielectric susceptibility. The relaxor phase arises from one-dimensional ferroelectricity, as evidenced by a diffuse x-ray scattering, in which interchain ferroelectric coupling associated with neutral-ionic transition is interrupted by impurity-generated neutral microclusters.

Endocytic uptake of advanced glycation end products by mouse liver sinusoidal endothelial cells is mediated by a scavenger receptor distinct from the macrophage scavenger receptor class A

Previous studies with peritoneal macrophages obtained from macrophage scavenger receptor class A (MSR-A) knock-out mice showed that the endocytic uptake of advanced glycation end products (AGE) by macrophages was mediated mainly by MSR-A. However, it is controversial whether the endocytic uptake of intravenously injected AGE proteins by liver sinusoidal endothelial cells (LECs) is similarly explained by receptor-mediated endocytosis via MSR-A. The present study was conducted to compare the capacity to endocytose AGE proteins in LECs and peritoneal macrophages obtained from MSR-A knock-out and littermate wild-type mice. The endocytic degradation capacity of MSR-A knock-out LECs for AGE-BSA was indistinguishable from that of wild-type LECs, whereas that of MSR-A knock-out peritoneal macrophages for AGE-BSA was decreased to 30% of that in wild-type cells. Similarly, the endocytic degradation of MSR-A knock-out LECs for acetylated low-density lipoprotein (acetyl-LDL) did not differ from that of wild-type LECs, whereas the endocytic degradation of acetyl-LDL by MSR-A knock-out peritoneal macrophages was less than 20% of that in wild-type cells. Furthermore, formaldehyde-treated serum albumin (f-Alb), a ligand known to undergo scavenger-receptor-mediated endocytosis by LECs, was effectively taken up by MSR-A knock-out LECs at a capacity that did not differ from that of wild-type LECs. Moreover, the endocytic uptake of AGE-BSA by LECs was effectively competed for by unlabelled f-Alb or acetyl-LDL. These results indicate that the scavenger-receptor ligands AGE proteins, acetyl-LDL and f-Alb are endocytosed by LECs through a non-MSR-A pathway.

Advanced glycation endproduct-modified superoxide dismutase-1 (SOD1)-positive inclusions are common to familial amyotrophic lateral sclerosis patients with SOD1 gene mutations and transgenic mice expressing human SOD1 with a G85R mutation

To clarify the biological significance of the neuronal Lewy body-like hyaline inclusions and astrocytic hyaline inclusions characteristically found in patients with familial amyotrophic lateral sclerosis with superoxide dismutase-1 (SOD1) gene mutations and in transgenic mice expressing human SOD1 with G85R mutation, the detailed protein composition in both types of inclusions was immunohistochemically analyzed using 45 different antibodies. Both types of inclusions had very strong immunoreactivity for SOD1. The SOD1-positive inclusions in both cell types were also immunoreactive for the insoluble advanced glycation endproducts (AGEs) such as Nepsilon-(carboxymethyl)lysine (CML), pyrraline and pentosidine: both inclusions in both conditions were ultrastructurally composed of the granule-coated fibrils that had immunoreactivities to CML and pyrraline. Both types of inclusions were negative for stress-response proteins (SRPs), 4-hydroxy-2-nonenal (HNE), acrolein, nitric oxide synthases (NOSs) and nitrotyrosine as representative markers of oxidative stress. The neurons and astrocytes of the normal individuals and non-transgenic mice showed no significant immunoreactivity for SOD1, AGEs, SRPs, HNE, acrolein, NOSs or nitrotyrosine. Our results suggest that a portion of the SOD1 composing both type of inclusions, probably toxic mutant SOD1, is modified by the AGEs, and that the formation of the AGE-modified SOD1 is one of the mechanisms responsible for the aggregation involving no significant oxidative mechanisms.

Glibenclamide acts as an inhibitor of acyl-CoA:cholesterol acyltransferase enzyme

Sulfonylureas are used in the treatment of non-insulin-dependent diabetes mellitus. Little is known, however, about their effects on cholesterol metabolism. We tested in the present study the effects of glibenclamide (GB) on cholesterol esterification (CE) in macrophage-derived cells. GB inhibited intracellular accumulation of CE induced by acetylated LDL or oxidized LDL in J774 cells, but no such effect on total cholesterol, suggesting that the target of GB was acyl-CoA:cholesterol acyltransferase (ACAT). In the cell-free reconstitution ACAT assay, GB inhibited the ACAT activity with an IC(50) value of 20 microM. Furthermore, GB effectively inhibited the ACAT activity of PMA-stimulated THP-1 cells to the undifferentiated level of THP-1. In the whole-cell ACAT assay using CHO cells overexpressed with ACAT-1 or ACAT-2, GB inhibited the activity of both isozymes with similar potency. Our in vitro data suggest that sulfonylurea could be a potential seed for a new generation of ACAT inhibitors.

Advanced glycation end products-induced gene expression of scavenger receptors in cultured human monocyte-derived macrophages

We investigated the effects of advanced glycation end products (AGEs) on the expression of oxidized low-density lipoprotein (OxLDL) receptors in human monocyte-derived macrophages and THP-1 cells treated with PMA. Both RT-PCR procedure and Northern blot analysis revealed that AGEs induced not only the gene expression of two major OxLDL receptors, macrophage scavenger receptor (MSR) class A and CD36, but also MSR-B I and lectin-like oxidized low-density lipoprotein receptor 1. Also, as a result of gel shift assay, AGEs increased transcriptional activities of AP-1, NF-kappaB, and peroxisome proliferator-activated receptor gamma. These findings indicate that AGEs-induced enhancement of these transcriptional activities might be involved in increased levels of mRNA for some of OxLDL receptors in THP-1-cells treated with PMA. The upregulated surface expression of these receptors on macrophage membranes was closely associated with increased uptake of modified LDL, and culminated in enhanced foam cell transformation. Thus, AGEs may be involved in the cause of variable levels of foam cell formation via the increased numbers of OxLDL receptors in accelerated atherosclerotic lesions of individuals with diabetes.

Twelve-fold quasicrystal and its approximant of Ta62Te38 interpreted as modulated crystals

A transmission electron microscopy study reveals that the twelve-fold quasicrystal and its approximant in Ta62Te38 are crystals subjected to the structure modulation. It is composed of two modulated layers rotated by 30 degrees (or 90 degrees) to each other about their normal. Structures of the twelve-fold quasicrystal and its approximant can be related by modulation waves with the same directions but with slightly different wavelengths. The modulation is considered to be due to the rearrangement of atomic vacancies as a response to the occurrence of charge density waves.