987 resultados para Birkhoff and Von Neumann ergodic theorems


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The goal of this thesis was the study of the cement-bone interface in the tibial component of a cemented total knee prosthesis. One of the things you can see in specimens after in vivo service is that resorption of bone occurs in the interdigitated region between bone and cement. A stress shielding effect was investigated as a cause to explain bone resorption. Stress shielding occurs when bone is loaded less than physiological and therefore it starts remodeling according to the new loading conditions. µCT images were used to obtain 3D models of the bone and cement structure and a Finite Element Analysis was used to simulate different kind of loads. Resorption was also simulated by performing erosion operations in the interdigitated bone region. Finally, 4 models were simulated: bone (trabecular), bone with cement, and two models of bone with cement after progressive erosions of the bone. Compression, tension and shear test were simulated for each model in displacement-control until 2% of strain. The results show how the principal strain and Von Mises stress decrease after adding the cement on the structure and after the erosion operations. These results show that a stress shielding effect does occur and rises after resorption starts.

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In questa tesi abbiamo studiato il comportamento delle entropie di Entanglement e dello spettro di Entanglement nel modello XYZ attraverso delle simulazioni numeriche. Le formule per le entropie di Von Neumann e di Renyi nel caso di una catena bipartita infinita esistevano già, ma mancavano ancora dei test numerici dettagliati. Inoltre, rispetto alla formula per l'Entropia di Entanglement di J. Cardy e P. Calabrese per sistemi non critici, tali relazioni presentano delle correzioni che non hanno ancora una spiegazione analitica: i risultati delle simulazioni numeriche ne hanno confermato la presenza. Abbiamo inoltre testato l'ipotesi che lo Schmidt Gap sia proporzionale a uno dei parametri d'ordine della teoria, e infine abbiamo simulato numericamente l'andamento delle Entropie e dello spettro di Entanglement in funzione della lunghezza della catena di spin. Ciò è stato possibile solo introducendo dei campi magnetici ''ad hoc'' nella catena, con la proprietà che l'andamento delle suddette quantità varia a seconda di come vengono disposti tali campi. Abbiamo quindi discusso i vari risultati ottenuti.

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Questa tesi illustra il teorema di decomposizione delle misure e come questo viene applicato alle trasformazioni che conservano la misura. Dopo aver dato le definizioni di σ-algebra e di misura ed aver enunciato alcuni teoremi di teoria della misura, si introducono due differenti concetti di separabilità: quello di separabilità stretta e quello di separabilità, collegati mediante un lemma. Si descrivono poi la funzione di densità relativa e le relative proprietà e, dopo aver definito il concetto di somma diretta di spazi di misura, si dimostra il teorema di decomposizione delle misure, che permette sotto certe ipotesi di esprimere uno spazio di misura come somma diretta di spazi di misura. Infine, dopo aver spiegato cosa significa che una trasformazione conserva la misura e che è ergodica, si dimostra il teorema di Von Neumann, per il quale le trasformazioni che conservano la misura risultano decomponibili in parti ergodiche.

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BACKGROUND: Increased circulating cortisol levels have been associated with severity of atherosclerosis. Low-grade systemic thrombogenicity plays a major role in the initiation and progression of coronary disease. We hypothesized a direct relationship between cortisol and hemostasis factors related to a prothrombotic state in coronary artery disease. METHODS: We measured morning serum cortisol and activated clotting factor VII, fibrinogen, von Willebrand factor antigen, and plasminogen activator inhibitor-1 activity in 285 women (56 +/- 7 years) between 3 and 6 months after an acute coronary event. To test whether the relationship between cortisol and hemostasis factors would be independent, statistical adjustment was made for demographic, biomedical, life style, and psychosocial variables. RESULTS: Higher serum cortisol levels predicted higher fibrinogen (beta = .17, P = .001) and higher von Willebrand factor (beta = .16, P = .008), all independently of covariates, including C-reactive protein, which was also an independent predictor of fibrinogen (beta = .20, P = .001) and von Willebrand factor (beta = .16, P = .004). Higher levels of vital exhaustion were associated with higher levels of activated clotting factor VII independently of covariates and depression (beta = .18, P = .045). Cortisol showed crude correlations with vital exhaustion (r = .14, P = .022) and with depression (r = .13, P = .043) but did not mediate the relationship between psychosocial variables and hemostatic factors. CONCLUSIONS: Morning serum cortisol showed a modest but independent association with prothrombotic activity in women with coronary artery disease suggesting that increased cortisol levels might contribute to atherosclerosis via eliciting a hypercoagulable state.

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Although chemotherapy for breast cancer can increase inflammation, few studies have examined predictors of this phenomenon. This study examined potential contributions of demographics, disease characteristics, and treatment regimens to markers of inflammation in response to chemotherapy for breast cancer. Thirty-five women with stage I-III-A breast cancer (mean age 50 years) were studied prior to cycle 1 and prior to cycle 4 of anthracycline-based chemotherapy. Circulating levels of inflammatory markers with high relevance to breast cancer were examined, including C-reactive protein (CRP), tumor necrosis factor-alpha (TNF-alpha), Interleukin-1 receptor antagonist (IL1-RA), vascular endothelial growth factor (VEGF), soluble intercellular adhesion molecule-1 (sICAM-1), Interleukin- (IL-6), soluble P-selectin (sP-selectin), and von Willebrand factor (vWf). Chemotherapy was associated with elevations in VEGF (p < or = 0.01), sICAM-1 (p < or = 0.01), sP-selectin (p < or = 0.02) and vWf (p < or = 0.05). Multiple regression analysis controlling for age and body mass index (BMI) showed that higher post-chemotherapy levels of inflammation were consistently related to higher pre-chemotherapy levels of inflammation (ps < or =0.05) as well as to certain disease characteristics. Post-chemotherapy IL-6 levels were higher in patients who had larger tumors (p < or = 0.05) while post-chemotherapy VEGF levels were higher in patients who had smaller tumors (p < or = 0.05). Post-chemotherapy sP-selectin levels were highest in women who had received epirubicin, cytoxan, 5-fluorouracil chemotherapy (p < or = 0.01). These findings indicate that chemotherapy treatment can be associated with elevations in certain markers of inflammation, particularly markers of endothelial and platelet activation. Inflammation in response to chemotherapy is most significantly related to inflammation that existed prior to chemotherapy but also potentially to treatment regimen and to certain disease characteristics.

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OBJECTIVE To determine a dexmedetomidine concentration, to be added to an alfaxalone-based bath solution, that will enhance the anaesthetic and analgesic effects of alfaxalone; and to compare the quality of anaesthesia and analgesia provided by immersion with either alfaxalone alone or alfaxalone with dexmedetomidine in oriental fire-bellied toads (Bombina orientalis). STUDY DESIGN Pilot study followed by a prospective, randomized, experimental trial. ANIMALS Fourteen oriental fire-bellied toads. METHODS The pilot study aimed to identify a useful dexmedetomidine concentration to be added to an anaesthetic bath containing 20 mg 100 mL(-1) alfaxalone. Thereafter, the toads were assigned to one of two groups, each comprising eight animals, to be administered either alfaxalone (group A) or alfaxalone-dexmedetomidine (group AD). After immersion for 20 minutes, the toads were removed from the anaesthetic bath and the righting, myotactic and nociceptive reflexes, cardiopulmonary variables and von Frey filaments threshold were measured at 5 minute intervals and compared statistically between groups. Side effects and complications were noted and recorded. RESULTS In the pilot study, a dexmedetomidine concentration of 0.3 mg 100 mL(-1) added to the alfaxalone-based solution resulted in surgical anaesthesia. The toads in group AD showed higher von Frey thresholds and lower nociceptive withdrawal reflex scores than those in group A. However, in group AD, surgical anaesthesia was observed in two out of eight toads only, and induction of anaesthesia was achieved in only 50% of the animals, as compared with 100% of the toads in group A. CONCLUSIONS AND CLINICAL RELEVANCE The addition of dexmedetomidine to an alfaxalone-based solution for immersion anaesthesia provided some analgesia in oriental fire-bellied toads, but failed to potentiate the level of unconsciousness and appeared to lighten the depth of anaesthesia. This limitation renders the combination unsuitable for anaesthetizing oriental fire-bellied toads for invasive procedures.

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BACKGROUND Everolimus reduces the progression of cardiac allograft vasculopathy (CAV) in de novo heart transplant (HTx) recipients, but the influence on established CAV is unknown. METHODS In this Nordic Certican Trial in Heart and lung Transplantation substudy, 111 maintenance HTx recipients (time post-HTx 5.8 ± 4.3 years) randomized to everolimus+reduced calcineurin inhibitor (CNI) or standard CNI had matching (intravascular ultrasound) examinations at baseline and 12 months allowing accurate assessment of CAV progression. RESULTS No significant difference in CAV progression was evident between the treatment groups (P = 0.30). When considering patients receiving concomitant azathioprine (AZA) therapy (n = 39), CAV progression was attenuated with everolimus versus standard CNI (Δmaximal intimal thickness 0.00 ± 0.04 and 0.04 ± 0.04 mm, Δpercent atheroma volume 0.2% ± 3.0% and 2.6% ± 2.5%, and Δtotal atheroma volume 0.25 ± 14.1 and 19.8 ± 20.4 mm(3), respectively [P < 0.05]). When considering patients receiving mycophenolate mofetil (MMF), accelerated CAV progression occurred with everolimus versus standard CNI (Δmaximal intimal thickness 0.06 ± 0.12 vs. 0.02 ± 0.06 mm and Δpercent atheroma volume 4.0% ± 6.3% vs. 1.4% ± 3.1%, respectively; P < 0.05). The levels of C-reactive protein and vascular cell adhesion molecule-1 declined significantly with AZA+everolimus, whereas MMF+everolimus patients demonstrated a significant increase in levels of C-reactive protein, vascular cell adhesion molecule-1, and von Willebrand factor. CONCLUSIONS Conversion to everolimus and reduced CNI does not influence CAV progression among maintenance HTx recipients. However, background immunosuppressive therapy is important as AZA+everolimus patients demonstrated attenuated CAV progression and a decline in inflammatory markers, whereas the opposite pattern was seen with everolimus+MMF. The different effect of everolimus when combined with AZA versus MMF could potentially reflect hitherto unknown interactions.

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Qualitative and quantitative changes in fossil flora and fauna have been used in many studies to infer climatic change. Here we ask a different question: how do flora and fauna respond to climatic changes such as rapid warming or cooling? As an independent proxy for paleotemperature we take the ratio of oxygen isotopes in biogenically precipitated lake marl and in ostracod shells. This introductory paper describes the project design and the five sites on an altitudinal transect from 600 m to about 2300 m asl in the western Swiss Alps. As cases of climatic cooling and warming we use the beginning and end of the Younger Dryas as major changes, and the Gerzensee and Preboreal oscillations as minor changes. At the two sites of Gerzensee and Leysin these changes are recorded in stable-isotope ratios, and there the time scales can be derived by correlations to the GRIP ice core (Schwander et al., 2000 and von Grafenstein et al., 2000). Biotic responses to climate changes are treated in individual papers using pollen (Wick, 2000), plant macrofossils (Tobolski and Ammann, 2000), and remains of chironomids (Brooks, 2000), beetles and other insects (Lemdahl, 2000), and chydorid Cladocera (Hofmann, 2000). They are followed by a synthesis focusing on quantification of biotic responses (Ammann et al., 2000). In addition, a reconstruction of summer temperatures for the Allerød and the Younger Dryas at Gerzensee is provided by Lotter et al. (2000).

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Delineating the interrelationships between tectonics, sedimentation, and geotechnical properties is particularly important for areas subjected to the dynamic affects of convergence. DSDP Leg 66 drilling within the Middle America Trench complex provided a unique opportunity to investigate these interrelationships along a transect of eight drill sites beginning on the trench outer slope and traversing the trench, trench inner slope, and upper continental slope. Investigations of other convergent margins suggest that deformation occurs most rapidly along the lower trench inner slope and is reflected by the geotechnical properties (Carson, 1977; Seely, 1977; and von Huene, 1979). This study focuses on the geotechnical properties of Middle America Trench sediments and the possible affects of convergence on these properties.

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A detailed macroscopic description as in continuum mechanics, and just the concept of microstate,have been used to derive thermodynamics from mechanics. In opposition to statistical physics, the derivation lays emphasis on a definite prescription for macrostates (and non-equilibrium entropy), and uses basic features of the macrostate concept: complementary descriptions, involving either conservative and additive quantities or densities;scale-free character; reference to finite velocities and regions distant in space, thus introducing time indirectly. On the other hand, the derivation keeps the particle substratum (limit of number of particles N taken at fixed densities), and makes no ergodic-type considerations.

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EL matemático Bronowski ha dejado escrito que John Von Neumann era, en su opinión, el más inteligente de todos los hombres y mujeres que ha conocido. Esta opinión es muy significativa porque Bronowski ha tratado a casi todos los matemáticos y físicos importantes entre los años treintas y setentas, y sitúa en segundo lugar nada menos que a Enrico Germi, Premio Nobel y genio de la Física.

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The surface of most aerial plant organs is covered with a cuticle that provides protection against multiple stress factors including dehydration. Interest on the nature of this external layer dates back to the beginning of the 19th century and since then, several studies facilitated a better understanding of cuticular chemical composition and structure. The prevailing undertanding of the cuticle as a lipidic, hydrophobic layer which is independent from the epidermal cell wall underneath stems from the concept developed by Brongniart and von Mohl during the first half of the 19th century. Such early investigations on plant cuticles attempted to link chemical composition and structure with the existing technologies, and have not been directly challenged for decades. Beginning with a historical overview about the development of cuticular studies, this review is aimed at critically assessing the information available on cuticle chemical composition and structure, considering studies performed with cuticles and isolated cuticular chemical components. The concept of the cuticle as a lipid layer independent from the cell wall is subsequently challenged, based on the existing literature, and on new findings pointing toward the cell wall nature of this layer, also providing examples of different leaf cuticle structures. Finally, the need for a re-assessment of the chemical and structural nature of the plant cuticle is highlighted, considering its cell wall nature and variability among organs, species, developmental stages, and biotic and abiotic factors during plant growth.

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We use Voiculescu’s free probability theory to prove the existence of prime factors, hence answering a longstanding problem in the theory of von Neumann algebras.