985 resultados para Differential Equation
Resumo:
The kinetics of crystallization of four amorphous (or partially amorphous) melt spun Nd-Fe-B alloys induced by thermal treatment is studied by means of differential scanning calorimetry and scanning electron microscopy, In the range of temperatures explored experimentally, the crystallization process is thermally activated and generally proceeds in various stages. The Curie temperature and the crystallization behavior have been measured. The apparent activation energy of crystallization of most of the crystallization stages has been determined for each melt spun alloy. The explicit form of the kinetic equation that best describes the first stage of crystallization has been found. It follows in general the Johnson-Mehl-Avrami-Erofe'ev model, but clear deviations to that model occur for one alloy. Scanning electron microscopy demonstrates that preferentially hetereogeneous nucleation occurs at the ribbon surface which was in contact with the wheel. From crystallization kinetics results the lower part of the experimental time-temperature-transformation curves for all studied alloys are deduced and extrapolated to the high temperature limit of their range of validity, also deduced.
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During the ontogenesis of dorsal root ganglia (DRG), the immunoreactivity to substance P (SP) and calbindin D-28k (CaBP) appears in chickens at embryonic day 5 (E5) and E10 respectively. To establish the birthdates of primary sensory neurons expressing SP or CaBP, chick embryos were given repetitive intra-amniotic injections of [3H]-thymidine. The neuroblasts giving rise to SP-expressing neurons were labeled up to E6 while those generating CaBP-immunoreactive neurons stopped to incorporate [3H]-thymidine before E5.5. This finding indicates that neurons exhibiting distinct phenotypes may originate from neuroblasts which arrest to proliferate at close but distinct stages of development. To determine whether SP and CaBP are co-expressed or not in DRG neurons, chick embryos at E12, E18, and chickens two weeks after hatching were perfused and fixed to detect simultaneously SP- and CaBP-immunoreactivity in DRG sections. The results showed that SP and CaBP were transiently co-expressed by a subset of neurons at E12. Later, however, the SP-immunoreactivity was gradually lost by these ganglion cells, so that the SP- and CaBP-immunoreaction defined two distinct neuronal subpopulations after hatching. In conclusion, most CaBP-immunoreactive DRG cells derive from a subset of neurons in which SP and CaBP are transiently co-localized.
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We deal with the hysteretic behavior of partial cycles in the two¿phase region associated with the martensitic transformation of shape¿memory alloys. We consider the problem from a thermodynamic point of view and adopt a local equilibrium formalism, based on the idea of thermoelastic balance, from which a formal writing follows a state equation for the material in terms of its temperature T, external applied stress ¿, and transformed volume fraction x. To describe the striking memory properties exhibited by partial transformation cycles, state variables (x,¿,T) corresponding to the current state of the system have to be supplemented with variables (x,¿,T) corresponding to points where the transformation control parameter (¿¿ and/or T) had reached a maximum or a minimum in the previous thermodynamic history of the system. We restrict our study to simple partial cycles resulting from a single maximum or minimum of the control parameter. Several common features displayed by such partial cycles and repeatedly observed in experiments lead to a set of analytic restrictions, listed explicitly in the paper, to be verified by the dissipative term of the state equation, responsible for hysteresis. Finally, using calorimetric data of thermally induced partial cycles through the martensitic transformation in a Cu¿Zn¿Al alloy, we have fitted a given functional form of the dissipative term consistent with the analytic restrictions mentioned above.
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NdFeB melt-spun amorphous or partially amorphous alloys of four compositions were prepared. Their crystallization kinetics induced by thermal treatment was studied by differential scanning calorimetry and scanning and transmission electron microscopy. Scanning electron microscopy demonstrated that heterogeneous nucleation occurs preferentially at the ribbon surface which was in contact with the wheel. The explicit form of the kinetic equation that best describes the first stage of crystallization under high undercooling conditions was obtained for each alloy. From the crystallization results, the lower part of the experimental time-temperature-transformation curves was deduced for each alloy and extrapolated up to the high-temperature limit of their validity. Microstructural observations showed a typical size of the microcrystals obtained by heat treatment of ~100 nm. From the magnetic properties measured with a vibrating sample magnetometer, the same magnetic behavior of partially crystallized alloys is observed regardless of the temperature of annealing provided the same crystallization fraction, x, is achieved, at least for small values of x (typically ~10%).
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We have developed a differential scanning calorimeter capable of working under applied magnetic fields of up to 5 T. The calorimeter is highly sensitive and operates over the temperature range 10¿300 K. It is shown that, after a proper calibration, the system enables determination of the latent heat and entropy changes in first-order solid¿solid phase transitions. The system is particularly useful for investigating materials that exhibit the giant magnetocaloric effect arising from a magnetostructural phase transition. Data for Gd5(Si0.1Ge0.9)4 are presented.
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Many organelles exist in an equilibrium of fragmentation into smaller units and fusion into larger structures, which is coordinated with cell division, the increase in cell mass, and envi¬ronmental conditions. In yeast cells, organelle homeostasis can be studied using the yeast vacuole (lysosome) as a model system. Yeast vacuoles are the main compartment for degrada¬tion of cellular proteins and storage of nutrients, ions and metabolites. Fission and fusion of vacuoles can be induced by hyper- and hypotonic shock in vivo, respectively, and have also been reconstituted in vitro using isolated vacuoles. The conserved serine/threonine kinase TOR (target of rapamycin) is a central nutrient sensor and regulates cell growth and metabolism. In yeast, there are two TOR proteins, Torlp and Tor2p, which are part of larger protein complexes, TORCI and TORC2. Only TORCI is rapamycin-sensitive. Disregulation of TOR signaling is linked to a multitude of diseases in humans, e.g. cancer, neurodegenerative diseases and metabolic syndrome. It has been shown that TORCI localizes to the vacuole membrane, and recent findings of our laboratory demonstrated that TORCI positively regulates vacuole fragmentation. This suggests that the fragmentation machinery should contain target proteins phosphorylated by TORCI. I explored the rapamycin-and fission-dependent vacuolar phosphoproteome during frag¬mentation, using a label-free mass-spectrometry approach. I identified many vacuolar factors whose phosphorylation was downregulated in a TORCI- and fission-dependent manner. Among them were known protein complexes that are functionally linked to fission or fusion, like the HOPS, VTC and FAB1 complexes. Hence, TORCI-dependent phosphorylations might positively regulate vacuole fission. Several candidates were chosen for detailed microscopic analysis of in vivo vacuole frag-mentation, using deletion mutants. I was able to identify novel factors not previously linked to fission phenotypes, e.g. the SEA complex, Pib2, and several vacuolar amino acid transporters. Transport of neutral and basic amino acids across the membrane seems to control vacuole fission, possibly via TORCI. I analyzed vacuolar fluxes of amino acids in wildtype yeast cells and found evidence for a selective vacuolar export of basic amino acids upon hyperosmotic stress. This leads me to propose a model where vacuolar export of amino acids is necessary to reshape the organelle under salt stress. - Le nombre et la taille de certaines organelles peut être déterminé par un équilibre entre la fragmentation qui produit des unités plus petites et la fusion qui génère des structures plus larges. Cet équilibre est coordonné avec la division cellulaire, l'augmentation de la masse cellulaire, et les conditions environnementales. Dans des cellules de levure, l'homéostasie des organelles peut être étudié à l'aide d'un système modèle, la vacuole de levure (lysosome). Les vacuoles constituent le principal compartiment de la dégradation des protéines et de stockage des nutriments, des ions et des métabolites. La fragmentation et la fusion des vacuoles peuvent être respectivement induites par un traitement hyper- ou hypo-tonique dans les cellules vivantes. Ces processus ont également été reconstitués in vitro en utilisant des vacuoles isolées. La sérine/thréonine kinase conservée TOR (target of rapamycin/cible de la rapamycine) est un senseur de nutriments majeur qui régule la croissance cellulaire et le métabolisme. Chez la levure, il existe deux protéines TOR, Torlp et Tor2p, qui sont les constituants de plus grands complexes de protéines, TORCI et TORC2. TORCI est spécifiquement inhibé par la rapamycine. Une dysrégulation de la signalisation de TOR est liée à une multitude de maladies chez l'homme comme le cancer, les maladies neurodégénératives et le syndrome métabolique. Il a été montré que TORCI se localise à la membrane vacuolaire et les découvertes récentes de notre laboratoire ont montré que TORCI régule positivement la fragmentation de la vacuole. Ceci suggère que le mécanisme de fragmentation doit être contrôlé par la phosphorylation de certaines protéines cibles de TORCI. J'ai exploré le phosphoprotéome vacuolaire lors de la fragmentation, en présence ou absence de rapamycine et dans des conditions provoquant la fragmentation des organelles. La méthode choisie pour réaliser la première partie de ce projet a été la spectrométrie de masse différentielle sans marquage. J'ai ainsi identifié plusieurs facteurs vacuolaires dont la phosphorylation est régulée d'une manière dépendante de TORCI et de la fragmentation. Parmi ces facteurs, des complexes protéiques connus qui sont fonctionnellement liées à fragmentation ou la fusion, comme les complexes HOPS, VTC et FAB1 ont été mis en évidence. Par conséquent, la phosphorylation dépendante de TORCI peut réguler positivement la fragmentation des vacuoles. Plusieurs candidats ont été choisis pour une analyse microscopique détaillée de la fragmentation vacuolaire in vivo en utilisant des mutants de délétion. J'ai été en mesure d'identifier de nouveaux facteurs qui n'avaient pas été encore associés à des phénotypes de fragmentation tels que les complexes SEA, Pib2p, ainsi que plusieurs transporteurs vacuolaires d'acides aminés. Le transport des acides aminés à travers la membrane semble contrôler la fragmentation de la vacuole. Puisque ces transporteurs sont phosphorylés par TORCI, ces résultats semblent confirmer la
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The antigen-presenting cell-expressed CD40 is implied in the regulation of counteractive immune responses such as induction of pro-inflammatory and anti-inflammatory cytokines interleukin (IL)-12 and IL-10, respectively. The mechanism of this duality in CD40 function remains unknown. Here, we investigated whether such duality depends on ligand binding. Based on CD40 binding, we identifed two dodecameric peptides, peptide-7 and peptide-19, from the phage peptide library. Peptide-7 induces IL-10 and increases Leishmania donovani infection in macrophages, whereas peptide-19 induces IL-12 and reduces L. donovani infection. CD40-peptide interaction analyses by surface plasmon resonance and atomic force microscopy suggest that the functional differences are not associated with the studied interaction parameters. The molecular dynamic simulation of the CD40-peptides interaction suggests that these two peptides bind to two different places on CD40. Thus, we suggest for the first time that differential binding of the ligands imparts functional duality to CD40.
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We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.
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We explore the possibility that the dark energy is due to a potential of a scalar field and that the magnitude and the slope of this potential in our part of the Universe are largely determined by anthropic selection effects. We find that, in some models, the most probable values of the slope are very small, implying that the dark energy density stays constant to very high accuracy throughout cosmological evolution. In other models, however, the most probable values of the slope are such that the slow roll condition is only marginally satisfied, leading to a recollapse of the local universe on a time scale comparable to the lifetime of the Sun. In the latter case, the effective equation of state varies appreciably with the redshift, leading to a number of testable predictions.
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We show the appearance of spatiotemporal stochastic resonance in the Swift-Hohenberg equation. This phenomenon emerges when a control parameter varies periodically in time around the bifurcation point. By using general scaling arguments and by taking into account the common features occurring in a bifurcation, we outline possible manifestations of the phenomenon in other pattern-forming systems.
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In this paper we address the problem of consistently constructing Langevin equations to describe fluctuations in nonlinear systems. Detailed balance severely restricts the choice of the random force, but we prove that this property, together with the macroscopic knowledge of the system, is not enough to determine all the properties of the random force. If the cause of the fluctuations is weakly coupled to the fluctuating variable, then the statistical properties of the random force can be completely specified. For variables odd under time reversal, microscopic reversibility and weak coupling impose symmetry relations on the variable-dependent Onsager coefficients. We then analyze the fluctuations in two cases: Brownian motion in position space and an asymmetric diode, for which the analysis based in the master equation approach is known. We find that, to the order of validity of the Langevin equation proposed here, the phenomenological theory is in agreement with the results predicted by more microscopic models
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We show that the reflecting boundary condition for a one-dimensional telegraphers equation is the same as that for the diffusion equation, in contrast to what is found for the absorbing boundary condition. The radiation boundary condition is found to have a quite complicated form. We also obtain exact solutions of the telegraphers equation in the presence of these boundaries.
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All derivations of the one-dimensional telegraphers equation, based on the persistent random walk model, assume a constant speed of signal propagation. We generalize here the model to allow for a variable propagation speed and study several limiting cases in detail. We also show the connections of this model with anomalous diffusion behavior and with inertial dichotomous processes.
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Eucalyptus requires large amounts of nitrogen (N); however, it responds in diverse manners to the application of this nutrient. The aim of this study was to evaluate the differential performance in growth, mineral nutrition, and gas exchanges of N-fertilized Eucalyptus clones. The treatments consisted of two Eucalyptus clones (VM-01 and I-144) and six N application rates (0, 0.74, 2.93, 4.39, 5.85, and 8 mmol L-1 NH4NO3) arranged in a randomized complete block design with five replications. VM-01 had greater plant height and greater height/collar diameter ratio, as well as higher leaf concentrations of all macronutrients and of Cu, Fe, Mo, and Zn. In terms of total and root dry matter production, root/shoot ratio, and collar diameter, as well as stomatal conductance and transpiration, I-144 performed better. The performance of the clones was clearly differentiated, and the growth of I-144, despite lower leaf N concentration, was in general better than VM-01.