Impact of incorrect assumptions on the covariance structure of random effects and/or residuals in nonlinear mixed models for repeated measures data

In this paper we analyse, using Monte Carlo simulation, the possible consequences of incorrect assumptions on the true structure of the random effects covariance matrix and the true correlation pattern of residuals, over the performance of an estimation method for nonlinear mixed models. The procedure under study is the well known linearization method due to Lindstrom and Bates (1990), implemented in the nlme library of S-Plus and R. Its performance is studied in terms of bias, mean square error (MSE), and true coverage of the associated asymptotic confidence intervals. Ignoring other criteria like the convenience of avoiding over parameterised models, it seems worst to erroneously assume some structure than do not assume any structure when this would be adequate.

Effects of new nonlinear couplings in relativistic effective field theory

We extend the relativistic mean field theory model of Sugahara and Toki by adding new couplings suggested by modern effective field theories. An improved set of parameters is developed with the goal to test the ability of the models based on effective field theory to describe the properties of finite nuclei and, at the same time, to be consistent with the trends of Dirac-Brueckner-Hartree-Fock calculations at densities away from the saturation region. We compare our calculations with other relativistic nuclear force parameters for various nuclear phenomena.

Relaxation time of processes driven by multiplicative noise

We consider systems described by nonlinear stochastic differential equations with multiplicative noise. We study the relaxation time of the steady-state correlation function as a function of noise parameters. We consider the white- and nonwhite-noise case for a prototype model for which numerical data are available. We discuss the validity of analytical approximation schemes. For the white-noise case we discuss the results of a projector-operator technique. This discussion allows us to give a generalization of the method to the non-white-noise case. Within this generalization, we account for the growth of the relaxation time as a function of the correlation time of the noise. This behavior is traced back to the existence of a non-Markovian term in the equation for the correlation function.

Transient and preparation colored-noise effects: The nonlinear relaxation-time approach

We develop a singular perturbation approach to the problem of the calculation of a characteristic time (the nonlinear relaxation time) for non-Markovian processes driven by Gaussian colored noise with small correlation time. Transient and initial preparation effects are discussed and explicit results for prototype situations are obtained. New effects on the relaxation of unstable states are predicted. The approach is compared with previous techniques.

Decay of unstable states in the presence of colored noise and random initial conditions. I. Theory of nonlinear relaxation times

The general theory of nonlinear relaxation times is developed for the case of Gaussian colored noise. General expressions are obtained and applied to the study of the characteristic decay time of unstable states in different situations, including white and colored noise, with emphasis on the distributed initial conditions. Universal effects of the coupling between colored noise and random initial conditions are predicted.

Nonlinear Saffman-Taylor instability

We show, both theoretically and experimentally, that the interface between two viscous fluids in a Hele-Shaw cell can be nonlinearly unstable before the Saffman-Taylor linear instability point is reached. We identify the family of exact elastica solutions [Nye et al., Eur. J. Phys. 5, 73 (1984)] as the unstable branch of the corresponding subcritical bifurcation which ends up at a topological singularity defined by interface pinchoff. We devise an experimental procedure to prepare arbitrary initial conditions in a Hele-Shaw cell. This is used to test the proposed bifurcation scenario and quantitatively asses its practical relevance.

Systematic weakly nonlinear analysis of interfacial instabilities in Hele-Shaw flows

We develop a systematic method to derive all orders of mode couplings in a weakly nonlinear approach to the dynamics of the interface between two immiscible viscous fluids in a Hele-Shaw cell. The method is completely general: it applies to arbitrary geometry and driving. Here we apply it to the channel geometry driven by gravity and pressure. The finite radius of convergence of the mode-coupling expansion is found. Calculation up to third-order couplings is done, which is necessary to account for the time-dependent Saffman-Taylor finger solution and the case of zero viscosity contrast. The explicit results provide relevant analytical information about the role that the viscosity contrast and the surface tension play in the dynamics of the system. We finally check the quantitative validity of different orders of approximation and a resummation scheme against a physically relevant, exact time-dependent solution. The agreement between the low-order approximations and the exact solution is excellent within the radius of convergence, and is even reasonably good beyond this radius.

Systematic weakly nonlinear analysis of radial viscous fingering

We present a weakly nonlinear analysis of the interface dynamics in a radial Hele-Shaw cell driven by both injection and rotation. We extend the systematic expansion introduced in [E. Alvarez-Lacalle et al., Phys. Rev. E 64, 016302 (2001)] to the radial geometry, and compute explicitly the first nonlinear contributions. We also find the necessary and sufficient condition for the uniform convergence of the nonlinear expansion. Within this region of convergence, the analytical predictions at low orders are compared satisfactorily to exact solutions and numerical integration of the problem. This is particularly remarkable in configurations (with no counterpart in the channel geometry) for which the interplay between injection and rotation allows that condition to be satisfied at all times. In the case of the purely centrifugal forcing we demonstrate that nonlinear couplings make the interface more unstable for lower viscosity contrast between the fluids.

The nonlinear relaxation time and quasideterministic-theory approaches to characterize the decay of unestable states

We present the relationship between nonlinear-relaxation-time (NLRT) and quasideterministic approaches to characterize the decay of an unstable state. The universal character of the NLRT is established. The theoretical results are applied to study the dynamical relaxation of the Landau model in one and n variables and also a laser model.

Substance P and calbindin D-28k-immunoreactivity in primary sensory neurons of chick embryos: differential neuronal birthdates and transient co-localization.

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.

Confinement of discrete breathers in inhomogeneously profiled nonlinear chains

We investigate numerically the scattering of a moving discrete breather on a pair of junctions in a Fermi-Pasta-Ulam chain. These junctions delimit an extended region with different masses of the particles. We consider (i) a rectangular trap, (ii) a wedge shaped trap, and (iii) a smoothly varying convex or concave mass profile. All three cases lead to DB confinement, with the ease of trapping depending on the profile of the trap. We also study the collision and trapping of two DBs within the profile as a function of trap width, shape, and approach time at the two junctions. The latter controls whether one or both DBs are trapped.

From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations

We derive nonlinear diffusion equations and equations containing corrections due to fluctuations for a coarse-grained concentration field. To deal with diffusion coefficients with an explicit dependence on the concentration values, we generalize the Van Kampen method of expansion of the master equation to field variables. We apply these results to the derivation of equations of phase-separation dynamics and interfacial growth instabilities.

A high-sensitivity differential scanning calorimeter with magnetic field for magnetostructural transitions

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.

Differential phosphoproteomics of fragmenting yeast vacuoles

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