Involvement of 4E-BP1 in the protection induced by HDLs on pancreatic beta cells.

High-density lipoproteins (HDLs) protect pancreatic beta cells against apoptosis. This property might relate to the increased risk to develop diabetes in patients with low HDL blood levels. The mechanisms by which HDLs protect beta cells are poorly characterized however. Here we used a transcriptomic approach to identify genes differentially modulated by HDLs in beta cells subjected to apoptotic stimuli. The transcript encoding 4E-BP1 was up-regulated by serum starvation and HDLs blocked this increase. 4E-BP1 inhibits cap-dependent translation in its non- or hypo-phosphorylated state but it looses this ability when hyper-phosphorylated. At the protein level, 4E-BP1 was also up-regulated in response to starvation and IL1beta and this was blunted by HDLs. While an ectopic increase of 4E-BP1 expression induced beta cell death, silencing 4E-BP1 increase with shRNAs inhibited the apoptotic-inducing capacities of starvation. HDLs can therefore protect beta cells by blocking 4E-BP1 protein expression but this is not the sole protective mechanism activated by HDLs. Indeed, HDLs blocked apoptosis induced by ER stress with no associated decrease in total 4E-BP1 induction. Although, HDLs favored the phosphorylation, and hence the inactivation of 4E-BP1 in these conditions, this appeared not to be required for HDL protection. Our results indicate that HDLs can protect beta cells through modulation of 4E-BP1 depending on the type of stress stimuli.

Regulation of Nav1.7 and Nav1.8 voltage-gated sodium channels by Nedd4-2 and β-subunits and its implication in neuropathic pain

In mammals, the presence of excitable cells in muscles, heart and nervous system is crucial and allows fast conduction of numerous biological information over long distances through the generation of action potentials (AP). Voltage-gated sodium channels (Navs) are key players in the generation and propagation of AP as they are responsible for the rising phase of the AP. Navs are heteromeric proteins composed of a large pore-forming a-subunit (Nav) and smaller ß-auxiliary subunits. There are ten genes encoding for Navl.l to Nav1.9 and NaX channels, each possessing its own specific biophysical properties. The excitable cells express differential combinations of Navs isoforms, generating a distinct electrophysiological signature. Noteworthy, only when anchored at the membrane are Navs functional and are participating in sodium conductance. In addition to the intrinsic properties of Navs, numerous regulatory proteins influence the sodium current. Some proteins will enhance stabilization of membrane Navs while others will favour internalization. Maintaining equilibrium between the two is of crucial importance for controlling cellular excitability. The E3 ubiquitin ligase Nedd4-2 is a well-characterized enzyme that negatively regulates the turnover of many membrane proteins including Navs. On the other hand, ß-subunits are known since long to stabilize Navs membrane anchoring. Peripheral neuropathic pain is a disabling condition resulting from nerve injury. It is characterized by the dysregulation of Navs expressed in dorsal root ganglion (DRG) sensory neurons as highlighted in different animal models of neuropathic pain. Among Navs, Nav1.7 and Nav1.8 are abundantly and specifically expressed in DRG sensory neurons and have been recurrently incriminated in nociception and neuropathic pain development. Using the spared nerve injury (SNI) experimental model of neuropathic pain in mice, I observed a specific reduction of Nedd4-2 in DRG sensory neurons. This decrease subsequently led to an upregulation of Nav1.7 and Nav1.8 protein and current, in the axon and the DRG neurons, respectively, and was sufficient to generate neuropathic pain-associated hyperexcitability. Knocking out Nedd4-2 specifically in nociceptive neurons led to the same increase of Nav1.7 and Nav1.8 concomitantly with an increased thermal sensitivity in mice. Conversely, rescuing Nedd4-2 downregulation using viral vector transfer attenuated neuropathic pain mechanical hypersensitivity. This study demonstrates the significant role of Nedd4-2 in regulating cellular excitability in vivo and its involvement in neuropathic pain development. The role of ß-subunits in neuropathic pain was already demonstrated in our research group. Because of their stabilization role, the increase of ßl, ß2 and ß3 subunits in DRGs after SNI led to increased Navs anchored at the membrane. Here, I report a novel mechanism of regulation of a-subunits by ß- subunits in vitro; ßl and ß3-subunits modulate the glycosylation pattern of Nav1.7, which might account for stabilization of its membrane expression. This opens new perspectives for investigation Navs state of glycosylation in ß-subunits dependent diseases, such as in neuropathic pain. - Chez les mammifères, la présence de cellules excitables dans les muscles, le coeur et le système nerveux est cruciale; elle permet la conduction rapide de nombreuses informations sur de longues distances grâce à la génération de potentiels d'action (PA). Les canaux sodiques voltage-dépendants (Navs) sont des participants importants dans la génération et la propagation des PA car ils sont responsables de la phase initiale de dépolarisation du PA. Les Navs sont des protéines hétéromériques composées d'une grande sous-unité a (formant le pore du canal) et de petites sous-unités ß accompagnatrices. Il existe dix gènes qui codent pour les canaux sodiques, du Nav 1.1 au Nav 1.9 ainsi que NaX, chacun possédant des propriétés biophysiques spécifiques. Les cellules excitables expriment différentes combinaisons des différents isoformes de Navs, qui engendrent une signature électrophysiologique distincte. Les Navs ne sont fonctionnels et ne participent à la conductibilité du Na+, que s'ils sont ancrés à la membrane plasmique. En plus des propriétés intrinsèques des Navs, de nombreuses protéines régulatrices influencent également le courant sodique. Certaines protéines vont favoriser l'ancrage et la stabilisation des Navs exprimés à la membrane, alors que d'autres vont plutôt favoriser leur internalisation. Maintenir l'équilibre des deux processus est crucial pour contrôler l'excitabilité cellulaire. Dans ce contexte, Nedd4-2, de la famille des E3 ubiquitin ligase, est une enzyme bien caractérisée qui régule l'internalisation de nombreuses protéines, notamment celle des Navs. Inversement, les sous-unités ß sont connues depuis longtemps pour stabiliser l'ancrage des Navs à la membrane. La douleur neuropathique périphérique est une condition débilitante résultant d'une atteinte à un nerf. Elle est caractérisée par la dérégulation des Navs exprimés dans les neurones sensoriels du ganglion spinal (DRG). Ceci a été démontré à de multiples occasions dans divers modèles animaux de douleur neuropathique. Parmi les Navs, Nav1.7 et Nav1.8 sont abondamment et spécifiquement exprimés dans les neurones sensoriels des DRG et ont été impliqués de façon récurrente dans le développement de la douleur neuropathique. En utilisant le modèle animal de douleur neuropathique d'épargne du nerf sural (spared nerve injury, SNI) chez la souris, j'ai observé une réduction spécifique des Nedd4-2 dans les neurones sensoriels du DRG. Cette diminution avait pour conséquence l'augmentation de l'expression des protéines et des courants de Nav 1.7 et Nav 1.8, respectivement dans l'axone et les neurones du DRG, et était donc suffisante pour créer l'hyperexcitabilité associée à la douleur neuropathique. L'invalidation pour le gène codant pour Nedd4-2 dans une lignée de souris génétiquement modifiées a conduit à de similaires augmentations de Nav1.7 et Nav1.8, parallèlement à une augmentation à la sensibilité thermique. A l'opposé, rétablir une expression normale de Nedd4-2 en utilisant un vecteur viral a eu pour effet de contrecarrer le développement de l'hypersensibilité mécanique lié à ce modèle de douleur neuropathique. Cette étude démontre le rôle important de Nedd4-2 dans la régulation de l'excitabilité cellulaire in vivo et son implication dans le développement des douleurs neuropathiques. Le rôle des sous-unités ß dans les douleurs neuropathiques a déjà été démontré dans notre groupe de recherche. A cause de leur rôle stabilisateur, l'augmentation des sous-unités ßl, ß2 et ß3 dans les DRG après SNI, conduit à une augmentation des Navs ancrés à la membrane. Dans mon travail de thèse, j'ai observé un nouveau mécanisme de régulation des sous-unités a par les sous-unités ß in vitro. Les sous-unités ßl et ß3 régulent l'état de glycosylation du canal Nav1.7, et stabilisent son expression membranaire. Ceci ouvre de nouvelles perspectives dans l'investigation de l'état de glycosylation des Navs dans des maladies impliquant les sous-unités ß, notamment les douleurs neuropathiques.

Generation of a tightly regulated all-cis beta cell-specific tetracycline-inducible vector.

Ability to induce protein expression at will in a cell is a powerful strategy used by scientists to better understand the function of a protein of interest. Various inducible systems have been designed in eukaryotic cells to achieve this goal. Most of them rely on two distinct vectors, one encoding a protein that can regulate transcription by binding a compound X, and one hosting the cDNA encoding the protein of interest placed downstream of promoter sequences that can bind the protein regulated by compound X (e.g., tetracycline, ecdysone). The commercially available systems are not designed to allow cell- or tissue-specific regulated expression. Additionally, although these systems can be used to generate stable clones that can be induced to express a given protein, extensive screening is often required to eliminate the clones that display poor induction or high basal levels. In the present report, we aimed to design a pancreatic beta cell-specific tetracycline-inducible system. Since the classical two-vector based tetracycline-inducible system proved to be unsatisfactory in our hands, a single vector was eventually designed that allowed tight beta cell-specific tetracycline induction in unselected cell populations.

Generation of uncorrelated random scale-free networks

Uncorrelated random scale-free networks are useful null models to check the accuracy and the analytical solutions of dynamical processes defined on complex networks. We propose and analyze a model capable of generating random uncorrelated scale-free networks with no multiple and self-connections. The model is based on the classical configuration model, with an additional restriction on the maximum possible degree of the vertices. We check numerically that the proposed model indeed generates scale-free networks with no two- and three-vertex correlations, as measured by the average degree of the nearest neighbors and the clustering coefficient of the vertices of degree k, respectively.

Rapid cohort generation and analysis of disease spectrum of large animal model of cone dystrophy.

Large animal models are an important resource for the understanding of human disease and for evaluating the applicability of new therapies to human patients. For many diseases, such as cone dystrophy, research effort is hampered by the lack of such models. Lentiviral transgenesis is a methodology broadly applicable to animals from many different species. When conjugated to the expression of a dominant mutant protein, this technology offers an attractive approach to generate new large animal models in a heterogeneous background. We adopted this strategy to mimic the phenotype diversity encounter in humans and generate a cohort of pigs for cone dystrophy by expressing a dominant mutant allele of the guanylate cyclase 2D (GUCY2D) gene. Sixty percent of the piglets were transgenic, with mutant GUCY2D mRNA detected in the retina of all animals tested. Functional impairment of vision was observed among the transgenic pigs at 3 months of age, with a follow-up at 1 year indicating a subsequent slower progression of phenotype. Abnormal retina morphology, notably among the cone photoreceptor cell population, was observed exclusively amongst the transgenic animals. Of particular note, these transgenic animals were characterized by a range in the severity of the phenotype, reflecting the human clinical situation. We demonstrate that a transgenic approach using lentiviral vectors offers a powerful tool for large animal model development. Not only is the efficiency of transgenesis higher than conventional transgenic methodology but this technique also produces a heterogeneous cohort of transgenic animals that mimics the genetic variation encountered in human patients.

Lésions cutanées et infiltrats pulmonaires d'évolution défavorable sans cause infectieuse [Progressive cutaneous and pulmonary lesions without infectious etiology: two cases reports of sweet syndrome with pulmonary involvement].

Sweet syndrome is a non infectious febrile disease with a neutrophilic infiltrate of dermis. Extracutaneous involvement can occur. We report two cases of Sweet syndrome with cutaneous and pulmonary involvement and give a short review of the literature of pulmonary involvement in Sweet syndrome.

Patient, primary care physician and specialist expectations of primary care physician involvement in cancer care.

BACKGROUND: In Canada, many health authorities recommend that primary care physicians (PCP) stay involved throughout their patients' cancer journey to increase continuity of care. Few studies have focused on patient and physician expectations regarding PCP involvement in cancer care. OBJECTIVE: To compare lung cancer patient, PCP and specialist expectations regarding PCP involvement in coordination of care, emotional support, information transmission and symptom relief at the different phases of cancer. DESIGN: Canadian survey of lung cancer patients, PCPs and cancer specialists PARTICIPANTS: A total of 395 patients completed questionnaires on their expectations regarding their PCP participation in several aspects of care, at different phases of their cancer. Also, 45 specialists and 232 community-based PCP involved in these patients' care responded to a mail survey on the same aspects of cancer care. RESULTS: Most specialists did not expect participation of the PCP in coordination of care in the diagnosis and treatment phases (65% and 78% respectively), in contrast with patients (83% and 85%) and PCPs (80% and 59%) (p < 0.0001). At these same phases, the best agreement among the 3 groups was around PCP role in emotional support: 84% and more of all groups had this expectation. PCP participation in symptom relief was another shared expectation, but more unanimously at the treatment phase (p = 0.85). In the advanced phase, most specialists expect a major role of PCP in all aspects of care (from 81% to 97%). Patients and PCP agree with them mainly for emotional support and information transmission. CONCLUSION: Lung cancer patient, PCP and specialist expectations regarding PCP role differ with the phase of cancer and the specific aspect of cancer care. There is a need to reach a better agreement among them and to better define PCP role, in order to achieve more collaborative and integrated cancer care.

Differential involvement of MEK kinase 1 (MEKK1) in the induction of apoptosis in response to microtubule-targeted drugs versus DNA damaging agents.

MEK kinase 1 (MEKK1) is a 196-kDa enzyme that is involved in the regulation of the c-Jun N-terminal kinase (JNK) pathway and apoptosis. In cells exposed to genotoxic agents including etoposide and cytosine arabinoside, MEKK1 is cleaved at Asp874 by caspases. The cleaved kinase domain of MEKK1, itself, stimulates caspase activity leading to apoptosis. Kinase-inactive MEKK1 expressed in HEK293 cells effectively blocks genotoxin-induced apoptosis. Treatment of cells with taxol, a microtubule stabilizing agent, did not induce MEKK1 cleavage in cells, and kinase-inactive MEKK1 expression failed to block taxol-induced apoptosis. MEKK1 became activated in HEK293 cells exposed to taxol, but in contrast to etoposide-treatment, taxol failed to increase JNK activity. Taxol treatment of cells, therefore, dissociates MEKK1 activation from the regulation of the JNK pathway. Overexpression of anti-apoptotic Bcl2 blocked MEKK1 and taxol-induced apoptosis but did not block the caspase-dependent cleavage of MEKK1 in response to etoposide. This indicates Bcl2 inhibition of apoptosis is, therefore, downstream of caspase-dependent MEKK1 cleavage. The results define the involvement of MEKK1 in the induction of apoptosis by genotoxins but not microtubule altering drugs.

Modulation of the c-Jun N-terminal kinase activity in the embryonic heart in response to anoxia-reoxygenation: involvement of the Ca2+ and mitoKATP channels.

Whether the response of the fetal heart to ischemia-reperfusion is associated with activation of the c-Jun N-terminal kinase (JNK) pathway is not known. In contrast, involvement of the sarcolemmal L-type Ca2+ channel (LCC) and the mitochondrial KATP (mitoKATP) channel has been established. This work aimed at investigating the profile of JNK activity during anoxia-reoxygenation and its modulation by LCC and mitoK(ATP) channel. Hearts isolated from 4-day-old chick embryos were submitted to anoxia (30 min) and reoxygenation (60 min). Using the kinase assay method, the profile of JNK activity in the ventricle was determined every 10 min throughout anoxia-reoxygenation. Effects on JNK activity of the LCC blocker verapamil (10 nM), the mitoK(ATP) channel opener diazoxide (50 microM) and the blocker 5-hydroxydecanoate (5-HD, 500 microM), the mitochondrial Ca2+ uniporter (MCU) inhibitor Ru360 (10 microM), and the antioxidant N-(2-mercaptopropionyl) glycine (MPG, 1 mM) were determined. In untreated hearts, JNK activity was increased by 40% during anoxia and peaked fivefold relative to basal level after 30-40 min reoxygenation. This peak value was reduced by half by diazoxide and was tripled by 5-HD. Furthermore, the 5-HD-mediated stimulation of JNK activity during reoxygenation was abolished by diazoxide, verapamil or Ru360. MPG had no effect on JNK activity, whatever the conditions. None of the tested pharmacological agents altered JNK activity under basal normoxic conditions. Thus, in the embryonic heart, JNK activity exhibits a characteristic pattern during anoxia and reoxygenation and the respective open-state of LCC, MCU and mitoKATP channel can be a major determinant of JNK activity in a ROS-independent manner.

Implication des protéines des gouttelettes lipidiques dans la résistance a l'insuline hépatique. [Involvement of protein lipid droplets in the resistance to hepatic insulin.]

Introduction : La prévalence des maladies stéatosiques non alcooliques du foie augmente de manière exponentielle dans les pays industrialisés. Le développement de ces maladies se traduit par une stéatose hépatique fréquemment associée à une résistance à l'insuline. Cette résistance a pu être expliquée par l'accumulation intra-hépatocytaire de lipides intermédiaires tels que Céramides et Diacylglycérols. Cependant, notre modèle animal de stéatose hépatique, les souris invalidées pour la protéine hépatique « Microsomal Triglyceride Transfert Protein » (Mttp Δ / Δ), ne développent pas de résistance à l'insuline, malgré une augmentation de ces lipides intermédiaires. Ceci suggère la présence d'un autre mécanisme induisant la résistance à l'insuline. Matériels et méthodes : L'analyse Microarray du foie des souris Mttp Δ / Δ a montré une forte up-régulation des gènes « Cell-death Inducing DFFA-like Effector C (cidec) », « Lipid Storage Droplet Protein 5 (lsdp5) » et « Bernardinelli-Seip Congenital Lipodystrophy 2 Homolog (seipin) » dans le foie des souris Mttp Δ / Δ. Ces gènes ont été récemment identifiés comme codant pour des protéines structurelles des gouttelettes lipidiques. Nous avons testé si ces gènes jouaient un rôle important dans le développement de la stéatose hépatique, ainsi que de la résistance à l'insuline. Résultats : Nous avons démontré que ces gènes sont fortement augmentés dans d'autres modèles de souris stéatosées tels que ceux présentant une sur-expression de ChREBP. Dans les hépatocytes murins (AML12 :Alfa Mouse Liver 12), l'invalidation de cidec et/ou seipin semble diminuer la phosphorylation d'AKT après stimulation à l'insuline, suggérant une résistance à l'insuline. Chez l'homme, l'expression de ces gènes est augmentée dans le foie de patients obèses avec stéatose hépatique. De manière intéressante, cette augmentation est atténuée chez les patients avec résistance à l'insuline. Conclusion : Ces données suggèrent que ces protéines des gouttelettes lipidiques augmentent au cours du développement de la stéatose hépatique et que cette augmentation protège contre la résistance à l'insuline.

Generation of TALEN-mediated GRdim knock-in rats by homologous recombination.

Transcription Activator-Like Effector Nucleases (TALEN) are potential tools for precise genome engineering of laboratory animals. We report the first targeted genomic integration in the rat using TALENs (Transcription Activator-Like Effector Nucleases) by homology-derived recombination (HDR). We assembled TALENs and designed a linear donor insert targeting a pA476T mutation in the rat Glucocorticoid Receptor (Nr3c1) namely GR(dim), that prevents receptor homodimerization in the mouse. TALEN mRNA and linear double-stranded donor were microinjected into rat one-cell embryos. Overall, we observed targeted genomic modifications in 17% of the offspring, indicating high TALEN cutting efficiency in rat zygotes.

Role of β-catenin and γ-catenin in haematopoiesis : Generation of floxed Delta like 4 gene targeted mice

Résumé La voie de signalisation de Wnt est extrêmement conservée au cours de l'évolution. Les protéines Wnt sont des molécules sécrétées qui se lient à la famille de récepteurs Frizzled. Cette interaction mène à la stabilisation de la protéine β-caténine, qui va s'accumuler dans le cytoplasme puis migrer dans le noyau où elle peut s'hétérodimériser avec les facteurs de transcription de la famille TCF/LEF. Il a été démontré que cette voie de signalisation joue un rôle important durant la lymphopoïèse et de récents résultats suggèrent un rôle clé de cette voie dans le renouvellement des Cellules Souches Hématopoïétique (CSH). Des études se basant sur un système de surexpression de protéines montrent clairement que la voie Wnt peut influencer l'hématopoïèse. Cependant, le rôle de la protéine β-caténine dans le système hématopoïétique n'a jamais été testé directement. Ce projet de thèse se propose d'étudier la fonction de la protéine β-caténine par sa délétion inductible via le système Cre-loxP. De façon surprenante, nous avons pu démontrer que les progéniteurs de la moelle osseuse, déficients en β-caténine, ne montrent aucune altération dans leur capacité à s'auto-renouveler et/ou à reconstituer toutes les lignées hématopoïétiques (myéloïde, érythroïde et lymphoïde) dans les souris-chimères. De plus, le développement, la survie des thymocytes ainsi que la prolifération des cellules T périphériques induite par un antigène, sont indépendants de β-caténine. Ces résultats suggèrent soit que la protéine β-caténine ne joue pas un rôle primordial dans le système hématopoiétique, soit que son absence pourrait être compensée par une autre protéine. Un candidat privilégié susceptible de se substituer à β-caténine, serait plakoglobine, aussi connu sous le nom de γ-caténine. En effet, ces deux protéines partagent de multiples caractéristiques structurelles. Afin de démontrer que la protéine γ-caténine peut compenser l'absence de β-caténine, nous avons généré des souris dans lesquelles, le système hématopoïétique est déficient pour ces deux protéines. Cette déficience combinée de β- caténine et γ-caténine ne perturbe pas la capacité des Cellules Souche Hématopoïétique-Long Terme (CSH-LT) de se renouveler, par contre elle agit sur un progéniteur précoce déjà différencié de la moelle osseuse. Ces résultats mettent en évidence que la protéine γ-caténine est capable de compenser l'absence de protéine β-caténine dans le système hématopoïétique. Par conséquent, ce travail contribue à une meilleure connaissance de la cascade Wnt dans l'hématopoïèse. Summary The canonical Wnt signal transduction pathway is a developmentally highly conserved. Wnts are secreted molecules which bind to the family of Frizzled receptors in a complex with the low density lipoprotein receptor related protein (LRP-5/6). This initial activation step leads to the stabilization and accumulation of β-catenin, first in the cytoplasm and subsequently in the nucleus where it forms heterodimers with TCF/LEF transcription factor family members. Wnt signalling has been shown to be important during early lymphopoiesis and has more recently, been suggested to be a key player in self-renewal of haematopoietic stem cells (HSCs). Although mostly gain of function studies indicate that components of the Wnt signalling pathway can influence the haematopoietic system, the role of β-catenin has never been directly investigated. The aim of this thesis project is to investigate the putatively critical role of β-catenin in vivo using the Cre-loxP mediated conditional loss of function approach. Surprisingly, β-catenin deficient bone marrow (BM) progenitors arc not impaired in their ability to self-renew and/or to reconstitute all haematopoietic lineages (myeloid, erythroid and lymphoid) in both mixed and straight bone marrow chimeras. In addition, both thymocyte development and survival, and antigen-induced proliferation of peripheral T cells are β- catenin independent. Our results do not necessarily exclude the possibility of an important function for β-catenin mediated Wnt signalling in the haematopoietic system, it rather raises the question that β-catenin is compensated for by another protein. A prime candidate that may take over the function of β-catenin in its absence, is the close relative plakoglobin, also know as γ-catenin. This protein shares multiple structural features with β-catenin. In order to investigate whether γ-catenin can compensate for the loss of β-catenin we have generated mice in which the haematopoietic compartment is deficient for both proteins. Combined deficiency of β-catenin and γ-catenin does not perturb Long Term-Haematopoietic Stem Cells (LT-HSC) self renewal, but affects an already lineage committed progenitor population within the BM. Our results demonstrate that y-catenin can indeed compensate for the loss of β-catenin within the haematopoietie system.

An eclectic third generation model of financial and exchange rate crises

[cat] En aquest treball es presenta un model eclèctic que sistematitza la dinàmica de les crisis que s’autoconfimen, usant els principals aspectes de les tres tipologies dels models de crisis canviàries de tercera generació, amb la finalitat de descriure els fets que precipiten la renúncia al manteniment d’una paritat fixada. Les contribucions més notables són les implicacions per a la política econòmica, així com la pèrdua del paper del tipus de canvi com instrument d’ajust macroeconòmic, quan els efectes de balanç són una possibilitat real.

Stochastic generation of homogeneous isotropic turbulence with well-defined-spectra

A precise and simple computational model to generate well-behaved two-dimensional turbulent flows is presented. The whole approach rests on the use of stochastic differential equations and is general enough to reproduce a variety of energy spectra and spatiotemporal correlation functions. Analytical expressions for both the continuous and the discrete versions, together with simulation algorithms, are derived. Results for two relevant spectra, covering distinct ranges of wave numbers, are given.