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Approach to energy eigenvalues and eigenfunctions from nonperturbative regions of eigenfunctions.

We study the approach to energy eigenvalues and eigenfunctions of Hamiltonian matrices with band structure from diagonalization of their truncated matrices. Making use of a generalization of Brillouin-Wigner perturbation theory, it is shown that in order to obtain approximate energy eigenvalues and eigenfunctions the sizes of truncated matrices should be larger than the nonperturbative regions of the eigenfunctions by several band width of the Hamiltonian matrix, with the nonperturbative regions being able to be estimated before the eigenfunctions are known. This prediction is checked numerically by the Wigner-band random-matrix model, which shows that 99% of eigenfunctions can be obtained when the sizes of truncated matrices are larger than those of the nonperturbative regions of the eigenfunctions by three band widths of the Hamiltonian matrix, on average.

Journal Article↗

Regional differences in the stratified transitional field and the honeycomb matrix of the developing human cerebral cortex.

The neurons of the cerebral cortex originate in the proliferative neuroepithelium and settle in the cortical plate during embryonic development. Interposed between these two sites is a large transitional field. We have earlier demonstrated experimentally in rats with 3H-thymidine autoradiography that this transitional field is a stratified structure composed of discrete layers of migrating and sojourning cells, and fiber bands. Here we show that the different layers of the stratified transitional field are identifiable without experimental procedures in the developing human cerebral cortex and that there are conspicuous regional differences in its stratification. At the peak of its development, the stratified transitional field contains three fibrous bands in an inside-out order: the commissural fibers of the corpus callosum, the thalamocortical and corticofugal projection fibers, and the expanding white matter. There are regional differences in the thickness of these fibrous layers as well as in the number and configuration of the perikaryal layers. This preview focuses on laminar differences of the transitional fields of the agranular frontal lobe and the granular parietal and occipital lobes. At the latter sites, but not in the frontal lobe, there is a distinctive multi-layered band, the honeycomb matrix, where radially oriented fiber columns are sandwiched between two perikaryal sublayers and are separated from one another by radially oriented cells. We postulate that the radial fiber columns of the honeycomb matrix are composed of topographically organized thalamocortical fibers and that the unspecified young neurons acquire their enduring topographic identity by making selective contacts with tagged fibers here before they resume their radial or tangential migration to the cortical plate.

Body Patterning↗

Differential tyrosine phosphorylation of paxillin in human corneal epithelial cells on extracellular matrix proteins

Purpose: To understand the interaction of corneal epithelial cells with laminin, fibronectin, and collagen type IV, major components of basement membrane, we investigated whether tyrosine phosphorylation of paxillin was increased during attachment of these cells to matrix proteins. Paxillin is one of the focal adhesion proteins and it is tyrosine phosphorylated during cell adhesion.Methods: SV 40-transformed human corneal epithelial (HCE) cells were plated on these extracellular matrix proteins and incubated. The cellular lysates were submitted to immunoprecipitation and Western blotting to determine tyrosine phosphorylation of paxillin.Results: When the cells were plated on laminin matrix, the stained band indicating tyrosine phosphorylated paxillin increased in proportion to cultivation periods. The increase was significant at 6 to 24 hours of cultivation. When HCE cells were cultured on various concentrations of laminin, paxillin was up-regulated in phosphorylation in a dose-dependent fashion. On a fibronectin matrix, tyrosine phosphorylation of paxillin increased in a time-dependent fashion and peak time point was 6 hours of cultivation. Paxillin was up-regulated in tyrosine phosphorylation in direct relation with the fibronectin concentration. On a type IV collagen matrix, tyrosine phosphorylation of paxillin increased in relation to time, but not so rapidly as cultures on a laminin or fibronectin matrix. Conclusion: Differential tyrosine phosphorylation of paxillin may have been caused by different extracellular matrix proteins.

Journal Article↗

[Differential tyrosine phosphorylation of paxillin in human corneal epithelial cells on extracellular matrix proteins].

PURPOSE: To understand the interaction of corneal epithelial cells with laminin, fibronectin, and collagen type IV, major components of basement membrane, we investigated whether tyrosine phosphorylation of paxillin was increased during attachment of these cells to matrix proteins. Paxillin is one of the focal adhesion proteins and it is tyrosine phosphorylated during cell adhesion. METHODS: SV 40-transformed human corneal epithelial (HCE) cells were plated on these extracellular matrix proteins and incubated. The cellular lysates were submitted to immunoprecipitation and western blotting to determine tyrosine phosphorylation of paxillin. RESULTS: When the cells were plated on laminin matrix, the stained band indicating tyrosine phosphorylated paxillin increased in proportion to cultivation periods. The increase was significant at 6 to 24 hours of cultivation. When HCE cells were cultured on various concentrations of laminin, paxillin was up-regulated in phosphorylation in a dose-dependent fashion. On a fibronectin matrix, tyrosine phosphorylation of paxillin increased in a time-dependent fashion and peak time point was 6 hours of cultivation. Paxillin was up-regulated in tyrosine phosphorylation in direct relation with the fibronectin concentration. On a type IV collagen matrix, tyrosine phosphorylation of paxillin increased in relation to time, but not so rapidly as cultures on a laminin or fibronectin matrix. CONCLUSION: Differential tyrosine phosphorylation of paxillin may have been caused by different extracellular matrix proteins.

Cells, Cultured↗

Doorway states in the gamma decay-out of the yrast superdeformed band in 59Cu.

The decay-out process of the yrast superdeformed band in 59Cu has been investigated. The firm determination of spin, parity, excitation energy, and configuration of the states involved in this process constitutes a unique situation for a detailed understanding of the decay-out mechanism. A theoretical model is introduced that includes a residual interaction and tunneling matrix element between bands, calculated in the configuration-dependent cranked Nilsson-Strutinsky model. This interaction causes the decay to occur via a small number of observed doorway states.

Journal Article↗

Non-Markovian modification of the golden rule rate expression.

The reformulation of the standard golden rule approach considered in this paper for treating reactive tunneling reduces the computation of the reaction rate to a derivation of band shapes for energy levels of reactant and product states. This treatment is based on the assumption that the medium environment is actively involved as a partner in the energy exchange with the reactive subsystem but its reorganization effect is negligible. Starting from the quantum relaxation equation for the density matrix, the required band shapes are represented in terms of the spectral density function, exhibiting the continuum spectrum inherent to the interaction between the reactants and the medium in the total reactive system. The simplest Lorentzian spectral bands, obtained under Redfield approximation, proved to be unsatisfactory because they produced a divergent rate expression at low temperature. The problem is resolved by invoking a refined spectral band shape, which behaves as Lorentzian one at the band center but decays exponentially at its tails. The corresponding closed non-Markovian rate expression is derived and investigated taking as an example the photochemical H-transfer reaction between fluorene and acridine proceeding in the fluorene molecular crystal. The kinetics in this reactive system was thoroughly studied experimentally in a wide temperature range [B. Prass et al., Ber. Bunsenges. Phys. Chem. 102, 498 (1998)].

Journal Article↗

An immunohistochemical study of fibronectin in human osteoarthritic and disease free articular cartilage.

Fibronectin is a minor component of cartilage connective tissue matrix, which is reported to accumulate in increased amounts in osteoarthritis. The presence of raised levels of fibronectin in human osteoarthritic cartilage by immunoperoxidase localisation is confirmed. Residual femoral head articular cartilage from 17 patients with osteoarthritis contained variable but substantial amounts of fibronectin. This was localised mainly in a band within the matrix of the surface zone. No significant deposits of fibronectin were found in this or any other area of the normal specimens. Intracellular fibronectin was identified in some cells of the surface zone, indicating that it was, in part, synthesised locally. The presence and distribution of locally produced fibronectin in osteoarthritic cartilage suggest that its synthesis is a response by chondrocytes to changes in the cartilage matrix.

Aged↗

Studies on shell formation. IX. An electron microscope study of crystal layer formation in the oyster.

Details of crystal growth in the calcitostracum of Crassostrea virginica have been studied with the purpose of analyzing the formation of the overlapping rows of oriented tabular crystals characteristic of this part of the shell. Crystal elongation, orientation, and dendritic growth suggest the presence of strong concentration gradients in a thin layer of solution in which crystallization occurs. Formation of the overlapping rows can be explained by three processes observed in the shell: a two-dimensional tree-like dendritic growth in which one set of crystal branchings creeps over an adjacent set of branchings; three-dimensional dendritic growth; and growth by dislocation of crystal surfaces. Multilayers of crystals may thus be formed at one time. This is favored by infrequent secretion of a covering organic matrix which would inhibit crystal growth. The transitional zone covering the outer part of the calcitostracum and the inner part of the prismatic region is generally characterized by aggregates of small crystals with definite orientation. Growth in this zone appears to take place in a relatively homogeneous state of solution without strong concentration gradients. Thin membranes and bands of organic matrix were commonly observed in the transitional zone bordering the prismatic region. The membrane showed a very fine oriented network pattern.

Animals↗

Fate of the atrioventricular endocardial cushions in the developing chick heart.

To determine the fate of the atrioventricular endocardial cushions in cardiac development, we used staining methods for extracellular fibronectin, which is abundant in the endocardial cushions, and actin, which is abundant in the myocytes. White Leghorn chick embryo hearts were harvested at Hamburger and Hamilton stages 26 to 36, and serial sections of the atrioventricular valve region were stained. Before atrioventricular valve formation, fibronectin and actin staining reveal separation between the fibronectin-rich endocardial cushions and the actin-rich myocardial layer. The developing mitral valve leaflets at all of the observed stages contain a fibronectin-rich matrix but no actin-rich myocytes. In contrast, the tricuspid band includes both fibronectin matrix and actin-rich cells. We conclude that the mitral valve leaflets in the chick form predominantly from the endocardial cushion tissue, and the tricuspid band receives contributions from both the endocardial cushions and surrounding myocardium.

Actins↗

[Electron microscopic characteristics and polypeptide composition of the nuclear matrix of liver cells in mice with autoimmune disease].

A study was made of the ultrastructure and polypeptide composition of liver cell nuclear matrix of F1NZB/NZW hybrid mice imitating human systemic Lupus erythematosus. Electron microscopy reveals enlargement in fibrous lamina diameter and increase in pore complex density up to the age of 8-9 months. In the terminal stages of the disease (12-13 months of age) a gradual attenuation of the intranuclear matrix and disappearance of pore complexes is observed along with a segregation and subsequent fragmentation of residual nucleoli which results eventually in the general degradation of the nuclear matrix. 30-35 polypeptide bands with molecular weight from 200 to 10 kD are revealed in polyacrylamide gel electrophoresis of the liver cell nuclear matrix of hybrid mice. Several protein bands in the high molecular weight region of 200-150 kD are strongly enhanced, and a triplet with molecular weight 70-60 kD is distinctly visible. The results obtained are interpreted as an indication of a protecting cellular reaction against antinuclear autoantibodies in the earlier stages, and a degradation of the nuclear matrix in terminal stages of the disease. It is supposed that the electron microscopic and electrophoretic patterns of the nuclear matrix indicate an accumulation of collagenous proteins.

Animals↗

An oxalate-binding protein with crystal growth promoter activity from human kidney stone matrix.

OBJECTIVE: To fractionate renal-stone matrix proteins, identify the presence of oxalate-binding protein and assess its effect in a calcium oxalate (CaOx) crystal growth system. MATERIALS AND METHODS: Proteins were isolated from the matrix of kidney stones containing CaOx as the major constituent, using EDTA as a demineralizing agent. The solubilized proteins were subjected to cellulose-column chromatography by eluting with increasing sodium chloride concentrations in Tris-HCl buffer. Three protein fraction peaks were eluted, i.e. fraction I in buffer, fraction II in 0.05 mol/L NaCl in buffer and fraction III in 0.3 mol/L NaCl in buffer. The protein fractions were tested for their effects on CaOx crystal growth. RESULTS: All three fractions had maximum CaOx binding activity at pH 7.4 but fraction II also had activity at pH 4.5. Fraction I promoted in vitro CaOx crystal growth, while fractions II and III were inhibitory. When fraction I was further separated on a Sephadex G-200 column, two protein fractions (Ia and Ib) were obtained. Fraction Ia protein had high and fraction Ib low CaOx-binding activity. Fraction Ia had a molecular weight of 48 kDa on gel electrophoresis and Western blotting. The 48 kDa protein did not cross-react with crystal matrix protein antibody, band-3 protein antibody, or albumin. The protein promoted CaOx crystal growth, with an optimum temperature of 37 degrees C and pH 6.5. The inhibitory effect of citrate on crystal growth was significantly lower in the presence of the 48 kDa protein. The protein promoted nucleation and aggregation of CaOx crystals in the in vitro crystallization system at pH 6.5, whereas fraction Ib (29 kDa) inhibited both nucleation and aggregation. Using the 48 kDa antibody, the yield of the protein from the stone matrix was 32% by EDTA extraction and only 3% with other methods. The protein was also detected in the nucleus and mitochondria, and in other matrix fractions of calcium phosphate and uric acid stones. CONCLUSION: The 48 kDa protein isolated from stone matrix is a potent promoter of CaOx crystal growth with high oxalate-binding activity; it is enriched in the nucleus and mitochondria.

Blotting, Western↗

FT-IR study for hydroxyapatite/collagen nanocomposite cross-linked by glutaraldehyde.

FT-IR analysis was performed for the hydroxyapatite (HAp)/collagen (COL) nanocomposite cross-linked by glutaraldehyde (GA). The amide bands I, II and III from COL matrix, and phosphate and carbonate bands from HAp were identified. The amide B band arising from C-H stretching mode showed a sensitive conformation by the degree of cross-linking. The amide I band showed a complicate conformational change by the degree of cross-linking. The characteristic amide I band at 1685 cm(-1), which is known as an aging parameter in the biological bone, did not show a monotonous tendency by the degree of cross-linking. The relative contents of the organics in the cross-linked HAp/COL nanocomposite were evaluated as an integration ratio between the amide I band at 1600-1700 cm(-1) and PO(4)(3-) band at 900-1200 cm(-1). The increase of the organics content by the cross-linking is enabled by the further organization of Ca(2+) ions of HAp crystals in HAp/COL nanocomposite. The complicate conformational behavior in the amide I, II and III bands seems to be affected by the cross-linking induced directional arrangement of HAp/COL nanocomposite fibrils.

Amides↗

Raman study of the hexafluoroaluminate ion in solid and molten FLINAK.

Raman spectra have been obtained for matrix-isolated AlF6(3-) in an LiF/NaF/KF (FLINAK) eutectic mixture. Three Raman bands characteristic of the hexafluoroaluminate ion were identified in the solids formed from FLINAK melts which contained small amounts (5-11 mol%) of either AlF3 or Na3AlF6. The three allowed Raman-active bands of the matrix-isolated octahedral complex ion, nu 1(A1g), nu 2(Eg), and nu 5(F2g), were observed at 560.5, 380, and 325 cm-1, respectively, for the solid sample at 25 degrees C. Wavenumbers and relative intensities were similar to those of Na3AlF6 (cryolite), K3AlF6, and K2NaAlF6 (elpasolite) and other crystals known to contain discrete, octahedral AlF6(3-) ions. Peak positions, half-widths, and relative intensities for the bands were measured for samples at temperatures different from room temperature through the melting transition and into the molten state. The transition from high-temperature solid to molten salt at about 455 degrees C occurred gradually without perceptible change in the peak positions, half-widths, or relative intensities. For a sample in molten FLINAK at 455 degrees C, the nu 1(A1g), nu 2(Eg), and nu 5(F2g) modes of the AlF6(3-) ion were observed at 542, 365, and 324 cm-1, respectively. Raman depolarization experiments were consistent with these assignments, and the low value of the depolarization ratio of the nu 1(A1g) mode at 542 cm-1 indicated that the sample was molten above 455 degrees C. Differential thermal analysis also indicated that the FLINAK samples melted at about 455 degrees C. Raman measurements were performed for samples at temperatures from 25 to 600 degrees C in a silver dish, on a hot stage, in an argon-filled atmosphere, under a microscope. Additional Raman experiments were performed on samples at temperatures from 25 to 750 degrees C in a conventional graphite windowless cell, in an argon-filled quartz tube, in a standard furnace. Over the concentration range 4.8-11 mol% AlF3 (CR 23-8.0) in FLINAK, only bands due to the AlF6(3-) ion were detected. There was no evidence to support the presence of other aluminum complexes in these melts.

Journal Article↗

Photoluminescence and Raman studies of Sm3+ and Nd3+ ions in zirconia matrices: example of energy transfer and host-guest interactions.

Photoluminescence and Raman studies on Sm(3+)- and Nd(3+)-doped zirconia are reported. The Raman studies indicate that the monoclinic (m) phase dominates up to a 10 at.% lanthanide level, while stabilization of the cubic phase is attained at approximately 20 and approximately 25 at.% of Sm(3+) and Nd(3+), respectively. Both systems are strongly luminescent under photo-excitation. The emission spectrum at 77 K of the ZrO(2):Sm(3+) system consists of a broad band at 505 nm, that corresponds to the zirconia matrix. At room temperature the band maximum blue-shifts to 490 nm. Sharper bands corresponding to f-f transitions within the Sm(3+)ion are also exhibited in the longer wavelength region of the spectrum. Exclusive excitation of the zirconia matrix provides sensitized emission from the acceptor Sm(3+) ion. The excitation profile is dominated by a broad band at 325 nm when monitored either at the zirconia or at one of the Sm(3+) emissions. A spectral overlap between the 6H(5/2)-->(4)G(7/2) absorption of the Sm(3+) ion with the zirconia emission leads to an efficient energy transfer process in the systems. Multiple facets of the spectral behavior of the Sm(3+) or Nd(3+) in the zirconia matrices, as well as the effects of compositions on the emission and Raman properties of the materials, and the role of defect centers in photoluminescence and the energy transfer processes are discussed.

Energy Transfer↗

Fine structure of the forelimb regenerate of the African clawed toad, Xenopus laevis.

Forelimb regenerates from postmetamorphic Xenopus froglets were examined at various stages postamputation by light microscopy and scanning and transmission electron microscopy. The outside surface of the wound epithelium was found to exhibit progressive changes following amputation with a distinct difference in appearance between stump epidermis and wound epithelium at all stages examined. The internal structure of the wound epithelium is characterized by loosely arranged cells with numerous cell junctions and abundant intracellular filaments. The wound epithelium is separated at an early stage from the underlying cells by a thick band of extracellular matrix. Cells accumulating beneath the wound epithelium were morphologically similar to blastemal cells from completely regenerating limbs in other species but no evidence of myogenesis or abortive myogenesis was seen. Blastemal cells from the central portion of the regenerate were observed at varius stages of chrondrogenesis with those immediately beneath the wound epithelium least advanced in this respect. Those located more laterally appear not to be directly involved in chondrogenesis. Although the usual explanation for lack of complete regeneration in this species is inadequate innervation of the regenerate, the fine structure of the regenerating spikes noted here is markedly different than that of denervated, amputated newt limbs.

Animals↗