A note on the coincidence between Stackelberg and Nash equilibria in a differential game between government and firms

[cat] A Navas i Marín Solano es va demostrar la coincidència entre els equilibris de Nash i de Stackelberg per a una versi´o modificada del joc diferencial proposat por Lancaster (1973). Amb l’objectiu d’obtenir una solució interior, es van imposar restriccions importants sobre el valors dels paràmetres del model. En aquest treball estenem aquest resultat, en el límit en que la taxa de descompte és igual a zero, eliminant les restriccions i considerant totes les solucions possibles.

Imported Swine Count, May 2011

The imported swine court report monthly by the Department of Agricultural.

Differential equations driven by fractional Brownian motion

A global existence and uniqueness result of the solution for multidimensional, time dependent, stochastic differential equations driven by a fractional Brownian motion with Hurst parameter H> is proved. It is shown, also, that the solution has finite moments. The result is based on a deterministic existence and uniqueness theorem whose proof uses a contraction principle and a priori estimates.

Imported Swine Count, June 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, July 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, August 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, October 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, November 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, December 2011

The imported swine court report monthly by the Department of Agricultural.

Imported Swine Count, January 2012

The imported swine court report monthly by the Department of Agricultural.

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.

Dynamical properties of nonmarkovian stochastic differential equations

We study nonstationary non-Markovian processes defined by Langevin-type stochastic differential equations with an OrnsteinUhlenbeck driving force. We concentrate on the long time limit of the dynamical evolution. We derive an approximate equation for the correlation function of a nonlinear nonstationary non-Markovian process, and we discuss its consequences. Non-Markovicity can introduce a dependence on noise parameters in the dynamics of the correlation function in cases in which it becomes independent of these parameters in the Markovian limit. Several examples are discussed in which the relaxation time increases with respect to the Markovian limit. For a Brownian harmonic oscillator with fluctuating frequency, the non-Markovicity of the process decreases the domain of stability of the system, and it can change an infradamped evolution into an overdamped one.

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