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Dissertations / Theses on the topic 'Spectrin'

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1

McCubbin, T. Paul. "Novel #Beta#-spectrin isoforms." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279964.

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2

North, Alison Jane. "Spectrin localisation in mammalian striated muscle." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.276872.

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3

Chen, Tony W. Nam Sang-Chul. "The role of spectrin in Drosophila photoreceptor development." Waco, Tex. : Baylor University, 2008. http://hdl.handle.net/2104/5209.

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4

Hill, Stephanie. "Folding and association of spectrin tetramer domains : a study of intrinsically disordered proteins from a protein folding perspective." Thesis, University of Cambridge, 2014. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.648579.

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5

Taupin, Hazel Lindsay. "Tyrosine phosphorylation of spectrin and its relation to neurite growth." Thesis, University of Kent, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.497697.

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6

Bignone, Paola A. "Studies on the phosphorylation and tetramerisation of βII spectrin." Thesis, University of Kent, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.252538.

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7

Godi, Anna. "Regulation and molecular composition of the Golgi-associated spectrin skeleton." Thesis, Open University, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393189.

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8

Fan, Jun. "The functional studies of a novel Golgi specific spectrin protein /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2003. http://uclibs.org/PID/11984.

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9

Gough, Lisa Lucio. "Dissecting the functions of the Golgi localized spectrin Syne-1 /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2004. http://uclibs.org/PID/11984.

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10

O'Toole, Peter John. "Spectrin-lipid interactions : investigations by fluorescence spectroscopy and digital fluorescence microscopy." Thesis, University of Essex, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.242333.

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11

Sarri, Barbara Claire Mireille Annick. "Spectrin-lipid interactions and their effect on the membrane mechanical properties." Thesis, University of Exeter, 2014. http://hdl.handle.net/10871/15976.

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This thesis presents the experimental work performed on the spectrin protein. The aim of the work was to study the direct interactions of spectrin, the cytoskeleton of RBCs, with membrane lipid to determine its effects on the mechanical properties of the lipid bilayer. Motivation for this work came from a lack of unanimity in the field of spectrin, and the hypothesized potential of the protein to perforate giant unilamellar vesicles. The work aimed to investigate and determine how spectrin-lipid interactions influence membrane mesoscopic morphology and biophysics in ways that could ultimately
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12

GALLI, CAMILLA. "DYNAMIC INTERPLAY BETWEEN SPECTRIN, ACTIN AND PLASMA MEMBRANE DURING CELL MECHANORESPONSE." Doctoral thesis, Università degli Studi di Milano, 2020. http://hdl.handle.net/2434/697440.

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The spectrin cytoskeleton is a major component of the mammalian cell cortex. While long known and ubiquitously expressed, its dynamic behaviour and cooperation with other major components of the cell cortex is poorly understood. Here we investigated spectrin reactions upon different mechanical cues, such as cell-driven perturbations, like cell adhesion, spreading and contraction, or environmentally driven ones, like compression, stretch and osmotic changes. Upon all of these challenges we observed that spectrin meshwork spatially adapts and reorganizes under the plasma membrane together with t
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13

Virel, Ana. "Molecular characterization and evolution of alpha-actinin : from protozoa to vertebrates." Doctoral thesis, Umeå University, Chemistry, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-931.

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<p>alpha-actinin is a ubiquitous protein found in most eukaryotic organisms. The ability to form dimers allows alpha-actinin to cross-link actin in different structures. In muscle cells alpha-actinin is found at the Z-disk of sarcomeres. In non-muscle cells alpha-actinin is found in zonula adherens or focal adhesion sites where it can bind actin to the plasma membrane.</p><p>alpha-actinin is the shortest member of the spectrin superfamily of proteins which also includes spectrin, dystrophin and utrophin. Several hypotheses suggest that alpha-actinin is the ancestor of this superfamily.</p><p>T
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14

Herring, Tammy. "Calcium, actin and the spectrin skeleton, responses to swelling and shrinking perturbations." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ28427.pdf.

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15

Lubbers, Ellen R. "Defining New Mechanistic Roles for αII Spectrin in Cardiac Function and Excitability". The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1554998846437076.

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16

Ringger, Nancy C. "A novel biomarker for traumatic brain injury csf alphaii-spectrin breakdown product levels /." [Gainesville, Fla.] : University of Florida, 2004. http://purl.fcla.edu/fcla/etd/UFE0006487.

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Thesis (Ph.D.)--University of Florida, 2004.<br>Typescript. Title from title page of source document. Document formatted into pages; contains 119 pages. Includes Vita. Includes bibliographical references.
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17

Rammé, Stephanie [Verfasser]. "Mutationssuche im α-Spectrin-Gen bei Patienten mit einer autosomal-dominanten Ataxie / Stephanie Rammé". Lübeck : Zentrale Hochschulbibliothek Lübeck, 2012. http://d-nb.info/1026430607/34.

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18

Ragnauth, Cassandra Divika. "Characterisation and functional analysis of nesprins : a novel family of spectrin repeat containing proteins." Thesis, University of Cambridge, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.615228.

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19

Armiger, Travis J. "Force Propagation in Mammalian Cell Systems and the Relevance of the Mechanically Integrated Cell." Research Showcase @ CMU, 2018. http://repository.cmu.edu/dissertations/1143.

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Mammalian cells are known to respond to both extra- and intra- cellular forces as well as the physical properties of the surrounding tissue. There is increasing evidence to support the fundamental role of force, applied to or generated within cells, in maintaining proper tissue function. The mechanical integration from the exterior of a cell to the interior of the nucleus is crucial for cellular sensing of, and response to, the physical environment. Further, misregulation of this mechanosensitive ability can lead to the development or propagation of many diseases such as cancers, cardiovascula
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20

Marra, Pierfrancesco. "Role of the spectrin-based cytoskeleton in the function and dynamics of the Golgi complex." Thesis, Open University, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.393199.

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21

Tardy, Philippe. "Caractérisation du trafic cellulaire du canal potassique à deux domaines P UNC-58 par la protéine UNC-44 chez le nématode C. elegans." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1157.

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Les canaux potassiques à deux domaines P (K2P) contrôlent l’excitabilité cellulaire et jouent un rôle central dans l’établissement et le maintien du potentiel de repos membranaire dans la majorité des cellules animales. Depuis leur identification dans les années 90, ces canaux ont été impliqués dans de nombreuses fonctions comme la modulation de l’activité neuronale, l’activité du muscle cardiaque ou encore la physiologie rénale. Malgré l’importance de ces canaux, peu de données existent sur les processus cellulaires qui contrôlent leur fonction in vivo. Au cours de ma thèse, j’ai utilisé des
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22

Wong, Simon Yuk Chun. "A spectrin-like protein in bovine retinal rod photoreceptor outer segments as defined by monoclonal antibodies." Thesis, University of British Columbia, 1988. http://hdl.handle.net/2429/29217.

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Biochemical and immunological studies indicate that rod outer segments (ROS) of bovine photoreceptor cells contain a Mr 240,000 polypeptide related to the ∝-subunit of red blood cell (RBC) spectrin. With the use of sodium dodecyl sulfate gel electrophoresis in conjunction with the immunoblotting technique, monoclonal antibody 4B2 was found to bind to a Mr 240,000 polypeptide in ROS that is distinct from the prominent Mr 220,000 concanavalin A binding glycoprotein. The Mr 240,000 polypeptide is highly susceptible to degradation by endogenous proteases. It does not appear to be an integral membr
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23

Mariani, Mariagabriella. "Purification and characterization of a red blood cell spectrin fraction which is tightly bound to the membrane /." [S.l.] : [s.n.], 1989. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=8982.

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24

Cortese, Matteo. "Cellular and molecular mechanisms of Usher syndrome pathogenesis." Thesis, Paris 6, 2016. http://www.theses.fr/2016PA066390/document.

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Le syndrome d’Usher (USH) cause une surdité-cécité chez l’homme. Au moins neuf gènes responsables ont été identifiés. L’origine de l’atteinte auditive a été dévoilée par l’analyse de souris mutantes, mais les causes de la cécité sont encore obscures. Néanmoins, unes des protéines de Usher, la myosine VIIa, a été impliquée dans le transport intracellulaire dans les photorécepteurs. Pour mieux comprendre le rôle dans la rétine, j’ai étudié l’un de ses partenaires, la spectrine βV. Nous avons conclu que cette spectrine, en collaboration avec les protéines USH1, est impliquée dans le trafic cellul
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25

Wilson, Gina Nicole. "PRE-DEGENERATIVE CHANGES IN THE RETINOFUGAL PROJECTION OF DBA/2J GLAUCOMATOUS MICE." Kent State University / OhioLINK, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=kent1501466545809801.

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26

Tak, Saurabh. "Les voies de mécanotransduction entre muscles et épiderme impliquées dans l'élongation embryonnaire de C. elegans." Thesis, Strasbourg, 2017. http://www.theses.fr/2017STRAJ054/document.

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L'élongation embryonnaire de C. elegans a lieu en deux étapes. La première phase est permise par les contractions d’actomyosine et régulée par les kinases let-502 et pak-1. La seconde dépend des contractions musculaires (après le stade 1,7-fold). La tension fournie par ces contractions permet le recrutement de GIT-1 aux hémidesmosomes, facilitant la poursuite de l’élongation via l’activation de PAK-1 (Nature, 2011). Étonnamment, en l'absence de git-1 ou pak-1, l'élongation se poursuit, nous conduisant à émettre l'hypothèse de voies de régulation parallèles. Un crible ARNi a été réalisé pour re
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27

Pasti, Gabriella. "Etude du rôle des propriétés mécaniques des cellules de l'épiderme au cours de l'allongement des embryons de C. elegans." Thesis, Strasbourg, 2015. http://www.theses.fr/2015STRAJ068.

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Mon travail se concentre sur la morphogenèse épithéliale pendant l’élongation embryonnaire de C. elegans. Ce processus s’appuie sur la transmission de signaux mécaniques, jouent un rôle essentiel également au cours de l’homéostasie tissulaire. Le gène pak-1 joue un rôle essentiel au cours des tels processus à la fois chez l’homme et dans l’élongation chez C. elegans. Nous avons montré que α-spectrine (SPC-1) est un nouveau partenaire de la kinase PAK-1. Pendant mon doctorat, j’ai confirmé que la perte simultanée de PAK-1 et de SPC-1 induit des défauts sévères d’élongation, impliquant une rétra
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28

Cortese, Matteo. "Cellular and molecular mechanisms of Usher syndrome pathogenesis." Electronic Thesis or Diss., Paris 6, 2016. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2016PA066390.pdf.

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Le syndrome d’Usher (USH) cause une surdité-cécité chez l’homme. Au moins neuf gènes responsables ont été identifiés. L’origine de l’atteinte auditive a été dévoilée par l’analyse de souris mutantes, mais les causes de la cécité sont encore obscures. Néanmoins, unes des protéines de Usher, la myosine VIIa, a été impliquée dans le transport intracellulaire dans les photorécepteurs. Pour mieux comprendre le rôle dans la rétine, j’ai étudié l’un de ses partenaires, la spectrine βV. Nous avons conclu que cette spectrine, en collaboration avec les protéines USH1, est impliquée dans le trafic cellul
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29

Stubberfield, Lisa Marie. "Interactions of Plasmodium falciparum proteins at the membrane skeleton of infected erythrocytes." Monash University, Dept. of Microbiology, 2003. http://arrow.monash.edu.au/hdl/1959.1/9433.

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30

Reasor, Daniel Archer. "Numerical simulation of cellular blood flow." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42760.

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In order to simulate cellular blood, a coarse-grained spectrin-link (SL) red blood cell (RBC) membrane model is coupled with a lattice-Boltzmann (LB) based suspension solver. The LB method resolves the hydrodynamics governed by the Navier--Stokes equations while the SL method accurately models the deformation of RBCs under numerous configurations. This method has been parallelized using Message Passing Interface (MPI) protocols for the simulation of dense suspensions of RBCs characteristic of whole blood on world-class computing resources. Simulations were performed to study rheological effe
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31

Régnier, David. "Contribution à l'étude des gammas prompts de fission." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENI065.

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Cette thèse a essentiellement été motivée par la montée en puissance de la thématique des échauffements nucléaires en réacteurs. Elle avait pour objectif la mise en place de méthodes permettant la simulation de l'émission des gammas prompts de fission. Pour répondre à cette attente, différents algorithmes de désexcitation d'un noyau ont été implémentés. Ils ont été testés avec succès via plusieurs calculs d'application (rapport d'embranchement isomérique, largeur radiative totale, etc). Ces méthodes ont ensuite été mises en oeuvre dans le cadre du code de fission FIFRELIN. L'outil qui en résul
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32

Martin, Alexandre. "Théorie de Mourre et opérateurs de Schrödinger : De nouvelles classes d'opérateurs conjugués." Thesis, Cergy-Pontoise, 2018. http://www.theses.fr/2018CERG0978/document.

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Dans cette thèse, nous nous intéressons à l’étude du spectre essentiel d’opérateurs de Schrödinger et tout particulièrement à l’obtention d’un Principe d’Absorption Limite pour ces opérateurs. Ce Principe d’Absorption Limite consiste en l’existence d’une limite de l’opérateur résolvante lorsque le paramètre spectral se rapproche du spectre essentiel et permet de connaitre des informations sur le groupe engendré par l’Hamiltonien de Schrödinger. Une méthode pour montrer ce Principe d’Absorption Limite est d’utiliser la théorie de Mourre. Cette théorie nécessite l’utilisation d’un autre opérateu
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33

Rozario, Hoimonti Immaculata. "Spectroscopic study of acetylene and hydrogen cyanide." Thesis, Lethbridge, Alta. : University of Lethbridge, Dept. of Physics and Astronomy, c2012, 2012. http://hdl.handle.net/10133/3415.

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High-resolution molecular spectroscopy has been used to study acetylene line parameters and emission spectra of hydrogen cyanide. All acetylene spectra were recorded in our laboratory at the University of Lethbridge using a 3-channel tuneable diode laser spectrometer. N2-broadened line widths and N2-pressure induced line shifts have been measured for transitions in the v1+v3 band of acetylene at seven temperatures in the range 213–333K to obtain the temperature dependences of broadening and shift coefficients. The Voigt and hard-collision line profile models were used to retrieve the line para
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34

Mohan, Anusha. "Neural Correlates of Spectral, Temporal and Spectro-temporal Modulation." Scholar Commons, 2014. https://scholarcommons.usf.edu/etd/5078.

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Natural sounds are characterized by the distribution of acoustic power over different frequency regions and/or time. This is termed spectral, temporal or spectro-temporal modulation. The auditory system is equipped with banks of filters tuned to different spectral, temporal and spectro-temporal modulation frequencies (SM, TM, STM). The sensitivity of the peripheral system to these modulations can be measured by undertaking a linear systems approach. In addition to understanding the psychophysical sensitivity, studying the neural patterns of their processing is also critical. The current study
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35

Dahl, Jason F. "Time Aliasing Methods of Spectrum Estimation." Diss., CLICK HERE for online access, 2003. http://contentdm.lib.byu.edu/ETD/image/etd157.pdf.

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36

Deepak, G. C. "Spectrum sharing systems for improving spectral efficiency in cognitive cellular network." Thesis, Lancaster University, 2017. http://eprints.lancs.ac.uk/85771/.

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Since spectrum is the invisible infrastructure that powers the wireless communication, the demand has been exceptionally increasing in recent years after the implementation of 4G and immense data requirements of 5G due to the applications, such as Internet-of-Things (IoT). Therefore, the effective optimization of the use of spectrum is immediately needed than ever before. The spectrum sensing is the prerequisite for optimal resource allocation in cognitive radio networks (CRN). Therefore, the spectrum sensing in wireless system with lower latency requirements is proposed first. In such systems
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37

Makara, Michael A. "Molecular physiology of ankyrin-G in the heart:Critical regulator of cardiac cellular excitability and architecture." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1455812677.

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38

Bandeira, Nuno Filipe Cabrita. "Spectral networks algorithms for de novo interpretation of tandem mass spectra." Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2007. http://wwwlib.umi.com/cr/ucsd/fullcit?p3274510.

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Thesis (Ph. D.)--University of California, San Diego, 2007.<br>Title from first page of PDF file (viewed October 2, 2007). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 141-152).
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39

Kharroubi, Hassane. "Étude du pouvoir réflecteur de monocristaux uniaxes et biaxes dans l'infrarouge lointain." Nancy 1, 1994. http://www.theses.fr/1994NAN10108.

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L'étude du pouvoir réflecteur (r) et de la transmission (t) des milieux anisotropes et absorbants dans l'infrarouge lointain nous a conduit a présenter des expressions directement programmables des relations permettant la détermination des constantes optiques, l'indice de réfraction n et l'indice d'absorption k à partir des mesures expérimentales de r et de t. Nous avons établi les expressions des facteurs de réflexion et de transmission pour les deux polarisations possibles de l'onde, en fonction de l'angle d'incidence. L'étude est limitée au cas de la propagation d'une onde plane dans les pl
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40

Mekler, A. A., Christine Böckmann, and N. Sokolovskaia. "Particle distribution from spectral Mie-scattering: kernel representation and singular-value spectrum." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2007/1494/.

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This paper deals with the Mie scattering kernels for multi-spectral data. The kernels may be represented in form of power series. Furthermore, the singular-value spectrum and the degree of ill-posedness in dependence on the refractive index of the particles are numerically approximated. A special hybrid regularization technique allows us to determine via inversion the particle distributions of different types.
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41

鄧愛紅 and Aihong Deng. "Some studies towards improving positron lifetime spectroscopy for semiconductors." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31214083.

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42

Bing, Zhou. "Crosshole resistivity and acoustic velocity imaging : S.5-D helmholtz equation modeling and inversion /." Title page, contents and abstract only, 1998. http://web4.library.adelaide.edu.au/theses/09PH/09phb613.pdf.

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43

Berge, Léonie. "Contribution à la modélisation des spectres de neutrons prompts de fission .Propagation d'incertitudes sur un calul de fluence cuve." Thesis, Université Grenoble Alpes (ComUE), 2015. http://www.theses.fr/2015GREAI039/document.

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Le spectre des neutrons prompts de fission (PFNS) est une donnée très importante pour diverses applications de la physique nucléaire. Cependant, en dehors du spectre de la fission spontanée du 252Cf, qui est reconnu comme un standard international et est utilisé pour la métrologie, le PFNS reste mal connu pour la plupart des noyaux fissionnants. En particulier, pour la fission rapide (induite par un neutron de plus de 100 keV environ), il existe peu de mesures, et les évaluations internationales présentent de fortes contradictions. De plus, il existe très peu de données sur les covariances ass
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44

Lu, Lu. "Spectral-efficient design in modern wireless communications networks." Diss., Georgia Institute of Technology, 2015. http://hdl.handle.net/1853/53902.

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We investigate spectral-efficient design and develop novel schemes to improve spectral efficiency of the modern wireless communications networks. Nowadays, more and more spectrum resources are required to support various high-data-rate applications while spectrum resources are limited. Moreover, static allocation and exclusive access in current spectrum assignment policy caused a lot of licensed spectrum bands to be underutilized. To deal with the problem, cognitive radio (CR) has been developed, which allows unlicensed/secondary users to transmit with licensed/primary users as long as the for
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45

Akkouche, Sofiane. "Sur la theorie spectrale des opérateurs de Schrödinger discrets." Thesis, Bordeaux 1, 2010. http://www.theses.fr/2010BOR14098/document.

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Cette thèse traite de la théorie spectrale des opérateurs de Schrödinger discrets H(λ) := - Δ + b sur Zd et plus généralement sur des graphes pondérés infinis. Plus précisément, nous étudions le comportement des fonctions spectrales qui représentent les bornes du spectre de ces opérateurs. Un des principaux résultats est l'obtention d'une condition nécessaire et suffisante sur le potentiel b pour que le bas du spectre soit strictement positif. L'étude du haut du spectre est également considérée.Nous étudions tout d'abord ces questions pour les opérateurs de Schrödinger discrets sur Zd. La régu
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46

Harvey, Pierre Dominique. "Applications of vibrational spectroscopy and NMR spin-lattice relaxation time measurements to organometallic and organic molecular crystals." Thesis, McGill University, 1985. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=73986.

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47

Borde, Arnaud. "One-Dimensional Power Spectrum and Neutrino Mass in the Spectra of BOSS." Phd thesis, Université Paris Sud - Paris XI, 2014. http://tel.archives-ouvertes.fr/tel-01023004.

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The framework of the studies presented in this thesis is the one-dimensional power spectrum of the transmitted flux in the Lyman-alpha forests. The Lyman-alpha forest is an an absorption pattern seen in the spectra of high redshift quasars corresponding to the absorption of the quasar light by the hydrogen clouds along the line of sight. It is a powerful cosmological tool as it probes relatively small scales, of the order of a few Mpc. It is also sensible to small non-linear effects such as the one induced by massive neutrinos.First, we have developed two independent methods to measure the one
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48

Rosenmann, Laurence. "Etudes théorique et expérimentale de l'élargissement par collisions des raies de CO2 perturbé par CO2, H2O, N2 et O2 : constitution d'une base de données infrarouge et Raman appliquée aux transferts thermiques et à la combustion." Châtenay-Malabry, Ecole centrale de Paris, 1988. http://www.theses.fr/1988ECAP0071.

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Etude systématique des coefficients d'élargissement par collisions des raies infrarouge et Raman de dioxyde de carbone perturbé par dioxyde de carbone, eau, diazote et dioxygène. Les résultats obtenus dans la gamme de température 300-3000 K sont utiles pour modéliser les transferts radiatifs en particulier dans les systèmes de combustion, et pour les diagnostics infrarouge et Raman.
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Mambrini, Thomas. "Caractérisation de panneaux solaires photovoltaïques en conditions réelles d’implantation et en fonction des différentes technologies." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112380/document.

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Dans un contexte de fort déploiement du Photovoltaïque (PV), de plus en plus de recherches sont menées pour assurer une certaine fiabilité et prédictibilité de la production provenant du PV. Les investisseurs se plaignent d’un manque de visibilité dans cette filière et hésitent à investir dans le PV (surtout avec les baisses régulières des tarifs de rachats). Il est donc nécessaire pour le développement de la filière PV de faire des efforts pour étudier, comprendre les systèmes PV en fonctionnement et ainsi donner plus de visibilité pour l’amélioration des systèmes, leur monitoring, une plus g
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50

Brett, Caroline. "Spectral theory using linear systems and sampling from the spectrum of Hill's equation." Thesis, Lancaster University, 2015. http://eprints.lancs.ac.uk/79286/.

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This thesis, entitled Spectral Theory Using Linear Systems and Sampling from the Spectrum of Hill’s Equation is submitted by Caroline Brett, Master of Science for the degree of Doctor of Philosophy, September 2015. It uses linear systems to solve various problems connected with Hill’s equation, −f + qf = λf for q ∈ C2, real-valued and π-periodic. Introducing a new operator, Rx constructed from a linear system, (−A, B, C) allows us to solve Hill’s equation and the inverse spectral problem. We use Rx to construct a function, T(x, y) that satisfies a Gelfand–Levitan integral equation and then der
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