956 resultados para Nonlinear System of Equations
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Rapport de recherche
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Mémoire numérisé par la Division de la gestion de documents et des archives de l'Université de Montréal.
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Objective To determine scoliosis curve types using non invasive surface acquisition, without prior knowledge from X-ray data. Methods Classification of scoliosis deformities according to curve type is used in the clinical management of scoliotic patients. In this work, we propose a robust system that can determine the scoliosis curve type from non invasive acquisition of the 3D back surface of the patients. The 3D image of the surface of the trunk is divided into patches and local geometric descriptors characterizing the back surface are computed from each patch and constitute the features. We reduce the dimensionality by using principal component analysis and retain 53 components using an overlap criterion combined with the total variance in the observed variables. In this work, a multi-class classifier is built with least-squares support vector machines (LS-SVM). The original LS-SVM formulation was modified by weighting the positive and negative samples differently and a new kernel was designed in order to achieve a robust classifier. The proposed system is validated using data from 165 patients with different scoliosis curve types. The results of our non invasive classification were compared with those obtained by an expert using X-ray images. Results The average rate of successful classification was computed using a leave-one-out cross-validation procedure. The overall accuracy of the system was 95%. As for the correct classification rates per class, we obtained 96%, 84% and 97% for the thoracic, double major and lumbar/thoracolumbar curve types, respectively. Conclusion This study shows that it is possible to find a relationship between the internal deformity and the back surface deformity in scoliosis with machine learning methods. The proposed system uses non invasive surface acquisition, which is safe for the patient as it involves no radiation. Also, the design of a specific kernel improved classification performance.
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Nonlinear dynamics of laser systems has become an interesting area of research in recent times. Lasers are good examples of nonlinear dissipative systems showing many kinds of nonlinear phenomena such as chaos, multistability and quasiperiodicity. The study of these phenomena in lasers has fundamental scientific importance since the investigations on these effects reveal many interesting features of nonlinear effects in practical systems. Further, the understanding of the instabilities in lasers is helpful in detecting and controlling such effects. Chaos is one of the most interesting phenomena shown by nonlinear deterministic systems. It is found that, like many nonlinear dissipative systems, lasers also show chaos for certain ranges of parameters. Many investigations on laser chaos have been done in the last two decades. The earlier studies in this field were concentrated on the dynamical aspects of laser chaos. However, recent developments in this area mainly belong to the control and synchronization of chaos. A number of attempts have been reported in controlling or suppressing chaos in lasers since lasers are the practical systems aimed to operated in stable or periodic mode. On the other hand, laser chaos has been found to be applicable in high speed secure communication based on synchronization of chaos. Thus, chaos in laser systems has technological importance also. Semiconductor lasers are most applicable in the fields of optical communications among various kinds of laser due to many reasons such as their compactness, reliability modest cost and the opportunity of direct current modulation. They show chaos and other instabilities under various physical conditions such as direct modulation and optical or optoelectronic feedback. It is desirable for semiconductor lasers to have stable and regular operation. Thus, the understanding of chaos and other instabilities in semiconductor lasers and their xi control is highly important in photonics. We address the problem of controlling chaos produced by direct modulation of laser diodes. We consider the delay feedback control methods for this purpose and study their performance using numerical simulation. Besides the control of chaos, control of other nonlinear effects such as quasiperiodicity and bistability using delay feedback methods are also investigated. A number of secure communication schemes based on synchronization of chaos semiconductor lasers have been successfully demonstrated theoretically and experimentally. The current investigations in these field include the study of practical issues on the implementations of such encryption schemes. We theoretically study the issues such as channel delay, phase mismatch and frequency detuning on the synchronization of chaos in directly modulated laser diodes. It would be helpful for designing and implementing chaotic encryption schemes using synchronization of chaos in modulated semiconductor laser
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This thesis presents analytical and numerical results from studies based on the multiple quantum well laser rate equation model. We address the problem of controlling chaos produced by direct modulation of laser diodes. We consider the delay feedback control methods for this purpose and study their performance using numerical simulation. Besides the control of chaos, control of other nonlinear effects such as quasiperiodicity and bistability using delay feedback methods are also investigated.A number of secure communication schemes based on synchronization of chaos semiconductor lasers have been successfully demonstrated theoretically and experimentally. The current investigations in these field include the study of practical issues on the implementations of such encryption schemes. We theoretically study the issues such as channel delay, phase mismatch and frequency detuning on the synchronization of chaos in directly modulated laser diodes. It would be helpful for designing and implementing chaotic encryption schemes using synchronization of chaos in modulated semiconductor lasers.
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Indium monofluoride was excited in a high-frequency discharge and the C-X system was photographed at a reciprocal dispersion of 0.3 AA mm-1 using a plane-grating spectrograph. Rotational analyses of the 0,0 1,0 2,2 3,3 4,4 2,4 3,5 4,6 and 5,7 bands have been carried out and the following molecular constants have been evaluated. Be'=0.2670(+or-3) cm-1, Be"=0.2628(+or-4) cm-1, alpha e'=0.0050(+or-4) cm-1, alpha e"=0.0020(+or-1) cm-1, De'=3.65(+or-5)*10-7 cm-1, De"=2.5(+or-3)*10-7 cm-1, beta e'=0.5(+or-2)*10-7 cm-1, beta e"=0.2(+or-1)*10-7 cm-1, re'=1.9672(+or-3) AA, re"=1.9853(+or-2) AA. The re" value agrees with the microwave absorption value 1.9854 AA.
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A mathematical analysis of an electroencephalogram of a human Brain during an epileptic seizure shows that the K2 entropy decreases as compared to a clinically normal brain while the dimension of the attractor does not show significant deviation.
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Realistic nucleon-nucleon interactions induce correlations to the nuclear many-body system, which lead to a fragmentation of the single-particle strength over a wide range of energies and momenta. We address the question of how this fragmentation affects the thermodynamical properties of nuclear matter. In particular, we show that the entropy can be computed with the help of a spectral function, which can be evaluated in terms of the self-energy obtained in the self-consistent Green's function approach. Results for the density and temperature dependences of the entropy per particle for symmetric nuclear matter are presented and compared to the results of lowest order finite-temperature Brueckner-Hartree-Fock calculations. The effects of correlations on the calculated entropy are small, if the appropriate quasiparticle approximation is used. The results demonstrate the thermodynamical consistency of the self-consistent T-matrix approximation for the evaluation of the Green's functions.
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The phytoplankton standing crop was assessed in detail along the South Eastern Arabian Sea (SEAS) during the different phases of coastal upwelling in 2009.During phase 1 intense upwelling was observed along the southern transects (8◦N and 8.5◦N). The maximum chlorophyll a concentration (22.7 mg m −3) was observed in the coastal waters off Thiruvananthapuram (8.5◦N). Further north there was no signature of upwelling, with extensive Trichodesmium erythraeum blooms. Diatoms dominated in these upwelling regions with the centric diatom Chaetoceros curvisetus being the dominant species along the 8◦N transect. Along the 8.5◦N transect pennate diatoms like Nitzschia seriata and Pseudo-nitzschia sp. dominated. During phase 2, upwelling of varying intensity was observed throughout the study area with maximum chlorophyll a concentrations along the 9◦N transect (25 mg m−3) with Chaetoceros curvisetus as the dominant phytoplankton. Along the 8.5◦N transect pennate diatoms during phase 1 were replaced by centric diatoms like Chaetoceros sp. The presence of solitary pennate diatoms Amphora sp. and Navicula sp. were significant in the waters off Kochi. Upwelling was waning during phase 3 and was confined to the coastal waters of the southern transects with the highest chlorophyll a concentration of 11.2 mg m−3. Along with diatoms, dinoflagellate cell densities increased in phases 2 and 3. In the northern transects (9◦N and 10◦N) the proportion of dinoflagellates was comparatively higher and was represented mainly by Protoperidinium spp., Ceratium spp. and Dinophysis spp.
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This study reports the details of the finite element analysis of eleven shear critical partially prestressed concrete T-beams having steel fibers over partial or full depth. Prestressed T-beams having a shear span to depth ratio of 2.65 and 1.59 that failed in shear have been analyzed using the ‘ANSYS’ program. The ‘ANSYS’ model accounts for the nonlinearity, such as, bond-slip of longitudinal reinforcement, postcracking tensile stiffness of the concrete, stress transfer across the cracked blocks of the concrete and load sustenance through the bridging action of steel fibers at crack interface. The concrete is modeled using ‘SOLID65’- eight-node brick element, which is capable of simulating the cracking and crushing behavior of brittle materials. The reinforcement such as deformed bars, prestressing wires and steel fibers have been modeled discretely using ‘LINK8’ – 3D spar element. The slip between the reinforcement (rebars, fibers) and the concrete has been modeled using a ‘COMBIN39’- nonlinear spring element connecting the nodes of the ‘LINK8’ element representing the reinforcement and nodes of the ‘SOLID65’ elements representing the concrete. The ‘ANSYS’ model correctly predicted the diagonal tension failure and shear compression failure of prestressed concrete beams observed in the experiment. The capability of the model to capture the critical crack regions, loads and deflections for various types of shear failures in prestressed concrete beam has been illustrated.
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Biologische Rhythmen bestimmen das gesamte Leben auf der Erde. Dabei scheint der circadiane Rhythmus der bekannteste zu sein, welcher durch eine Periodendauer von etwa (lat. circa) 24 Stunden gekennzeichnet ist. Dieser seit Jahrmillionen täglich stattfindende Wechsel von Hell- und Dunkelphasen führte zur Entwicklung von inneren Uhren in nahezu allen Organismen, welche die Physiologie und das Verhalten steuern. In der Schabe Rhyparobia (Leucophaea) maderae, einem etablierten Modellorganismus der circadianen Rhythmusforschung, konnte die innere Uhr auf die akzessorischen Medulla (AMe) eingegrenzt werden. Da neben klassischen Neurotransmittern auch Neuropeptide unablässig für die Aufrechterhaltung des endogenen Rhythmus oder aber für Synchronisationsprozesse sind, bestand der Hauptfokus der Arbeit in der Analyse einer möglichen Beteiligung des myoinhibitorischen Neuropeptids (MIP) am circadianen System von R. maderae. Mittels MALDI-TOF Massenspektrometrie konnten fünf Rhyparobia-MIPs in Präparationen der AMe identifiziert und zwei vollständig sequenziert werden. Immunzytochemische Analysen zeigten neben einer weiten MIP-Immunreaktivität im Gehirn eine dichte Innervierung der AMe und mit ihr assoziierten Neuronengruppen. Kolokalisation von MIP- und Pigment-dispersing Faktor-Immunreaktivitäten wurden in mindestens zwei circadianen Schrittmacherzellen beobachtet. Immunreaktivitäten in diversen Kommissuren lassen den Schluss zu, dass Rhyparobia-MIPs als Kopplungsfaktoren beider akzessorischen Medullae agieren. Immunzytochemische Kolokalisationsexperimente mit anderen neuroaktiven Kandidaten für den Lichteingangsweg zeigen, dass Rhyparobia-MIPs auch an der Übermittlung photischer Eingänge in die AMe vom ipsi- und kontralateralen Komplexauge beteiligt sein könnten. Darüber hinaus konnte durch Injektionsexperimente kombiniert mit Verhaltensassays gezeigt werden, dass mindestens Rhyparobia-MIP-1 und -2 Eingangssignale in die AMe sind. Des Weiteren konnte mittels enzyme-linked immunosorbent Assays gezeigt werden, dass MIP in der AMe und dem optischen Lobus mindestens über G-Protein gekoppelte Rezeptoren agiert. Diese Rezeptoren scheinen zudem tageszeitabhängig unterschiedlich exprimiert oder aber unterschiedlich sensitiv zu sein.
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Accurate data of the natural conditions and agricultural systems with a good spatial resolution are a key factor to tackle food insecurity in developing countries. A broad variety of approaches exists to achieve precise data and information about agriculture. One system, especially developed for smallholder agriculture in East Africa, is the Farm Management Handbook of Kenya. It was first published in 1982/83 and fully revised in 2012, now containing 7 volumes. The handbooks contain detailed information on climate, soils, suitable crops and soil care based on scientific research results of the last 30 years. The density of facts leads to time consuming extraction of all necessary information. In this study we analyse the user needs and necessary components of a system for decision support for smallholder farming in Kenya based on a geographical information system (GIS). Required data sources were identified, as well as essential functions of the system. We analysed the results of our survey conducted in 2012 and early 2013 among agricultural officers. The monitoring of user needs and the problem of non-adaptability of an agricultural information system on the level of extension officers in Kenya are the central objectives. The outcomes of the survey suggest the establishment of a decision support tool based on already available open source GIS components. The system should include functionalities to show general information for a specific location and should provide precise recommendations about suitable crops and management options to support agricultural guidance on farm level.
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Circadiane Schrittmacher koordinieren die täglichen Rhythmen in Physiologie und Verhalten in lebenden Organismen. Die Madeira Schabe Rhyparobia maderae (Synonym: Leucophaea maderae) ist ein gut etabliertes Modell, um die neuronalen Mechanismen der circadianen Rhythmen bei Insekten zu studieren. Die akzessorische Medulla (AME) in den optischen Loben des Gehirns wurde als das circadiane Schrittmacherzentrum der Madeira Schabe identifiziert, das circadiane Rhythmen in der Laufaktivität steuert. Über die Neurotransmitter der Eingangswege in das circadiane System der Madeira Schabe ist noch nicht viel bekannt. Das Hauptziel dieser Arbeit war es, mögliche Eingangssignale in die innere Uhr der Madeira Schabe zu bestimmen. An primären Zellkulturen von AME-Neuronen wurden Calcium-Imaging Experimente durchgeführt, um die Neurotransmitter-abhängigen Veränderungen in der intrazellulären Calcium-Konzentration zu messen. Darüber hinaus wurde die Signalkaskade des Neuropeptids Pigment Dispersing Factor (PDF), dem wichtigsten Kopplungsfaktor in circadianen Schrittmachern von Insekten, in Calcium-Imaging und Förster-Resonanzenergietransfer (FRET) Experimenten untersucht. Acetylcholin (ACh) erhöht die intrazelluläre Calcium-Konzentration in der Mehrzahl der circadianen Schrittmacherneurone der Madeiraschabe. Applikation von GABA, Serotonin und Octopamin erhöhten oder reduzierten die intrazelluläre Calcium-Konzentration in den AME-Neuronen, während Histamin und Glutamat die intrazelluläre Calcium-Konzentration ausschließlich reduzierten. Pharmakologische Experimente zeigten, dass die AME-Neurone ACh über ionotrope nikotinische ACh-Rezeptoren detektierten, während GABA über ionotrope GABAA-Rezeptoren und metabotrope GABAB-Rezeptoren detektiert wurde. Diese Ergebnisse deuten darauf hin, dass die circadiane Aktivität der Schabe durch verschiedene Eingänge, einschließlich ACh, GABA, Glutamat, Histamin, Octopamin und Serotonin, moduliert wird. Bei den FRET Studien wurde ein Proteinkinase A (PKA)-basierter FRET Sensor zur Detektion von cyclischem AMP (cAMP) verwendet. Es wurde gezeigt, dass PDF über Adenylylcyclase-abhängige und -unabhängige Signalwege wirken kann. Zusätzlich wurden Laufrad-Assays durchgeführt, um Phasenverschiebungen im Rhythmus der circadianen Laufaktivität zu detektieren, nachdem der Neurotransmitter Histamin zu verschiedenen circadianen Zeiten injiziert wurde. Histamin-Injektionen durch die Komplexaugen der Schabe ergaben eine biphasische Phasenantwortkurve (phase response curve) mit Phasenverzögerungen in der Laufaktivität am späten subjektiven Tag und am Beginn der subjektiven Nacht und Phasenbeschleunigungen in der späten subjektiven Nacht. Schließlich wurde eine extrazelluläre Ableittechnik an lebenden Schaben etabliert, die gleichzeitige Langzeit-Ableitungen von der AME, des Komplexauges (Elektroretinogramm = ERG), und der Beinmuskulatur (Elektromyogramm = EMG) für mehrere Tage ermöglichte. Diese Methode bietet einen Ausgangspunkt für weitere elektrophysiologische Untersuchungen des circadianen Systems der Schabe, in denen Substanzen (z.B. Neurotransmitter und Neuropeptide) analysiert werden können, die einen Einfluss auf den circadianen Rhythmus in der Laufaktivität haben