Collision probabilities in the rarefaction fan of asymmetric exclusion processes

We consider the one-dimensional asymmetric simple exclusion process (ASEP) in which particles jump to the right at rate p is an element of (1/2, 1.] and to the left at rate 1 - p, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occupied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converges to the rarefaction fan of the associated Burgers equation. In particular suppose that the initial state has first-class particles to the left of the origin, second-class particles at sites 0 and I, and holes to the right of site I. We show that the probability that the two second-class particles eventually collide is (1 + p)/(3p), where a collision occurs when one of the particles attempts to jump over the other. This also corresponds to the probability that two ASEP processes. started from appropriate initial states and coupled using the so-called ""basic coupling,"" eventually reach the same state. We give various other results about the behaviour of second-class particles in the ASEP. In the totally asymmetric case (p = 1) we explain a further representation in terms of a multi-type particle system, and also use the collision result to derive the probability of coexistence of both clusters in a two-type version of the corner growth model.

A PHASE TRANSITION FOR COMPETITION INTERFACES

We study the competition interface between two growing clusters in a growth model associated to last-passage percolation. When the initial unoccupied set is approximately a cone, we show that this interface has an asymptotic direction with probability 1. The behavior of this direction depends on the angle theta of the cone: for theta >= 180 degrees, the direction is deterministic, while for theta < 180 degrees, it is random, and its distribution can be given explicitly in certain cases. We also obtain partial results on the fluctuations of the interface around its asymptotic direction. The evolution of the competition interface in the growth model can be mapped onto the path of a second-class particle in the totally asymmetric simple exclusion process; from the existence of the limiting direction for the interface, we obtain a new and rather natural proof of the strong law of large numbers (with perhaps a random limit) for the position of the second-class particle at large times.

Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer queues

In the Hammersley-Aldous-Diaconis process, infinitely many particles sit in R and at most one particle is allowed at each position. A particle at x, whose nearest neighbor to the right is at y, jumps at rate y - x to a position uniformly distributed in the interval (x, y). The basic coupling between trajectories with different initial configuration induces a process with different classes of particles. We show that the invariant measures for the two-class process can be obtained as follows. First, a stationary M/M/1 queue is constructed as a function of two homogeneous Poisson processes, the arrivals with rate, and the (attempted) services with rate rho > lambda Then put first class particles at the instants of departures (effective services) and second class particles at the instants of unused services. The procedure is generalized for the n-class case by using n - 1 queues in tandem with n - 1 priority types of customers. A multi-line process is introduced; it consists of a coupling (different from Liggett's basic coupling), having as invariant measure the product of Poisson processes. The definition of the multi-line process involves the dual points of the space-time Poisson process used in the graphical construction of the reversed process. The coupled process is a transformation of the multi-line process and its invariant measure is the transformation described above of the product measure.

Remodelage du muscle lisse péribronchique dans l’inflammation respiratoire chronique

Le souffle chez les chevaux et l’asthme chez l’humain sont des maladies respiratoires qui partagent plusieurs caractéristiques, notamment des épisodes de bronchospasme et de détresse respiratoire dus à une inflammation pulmonaire inappropriée en réponse à une inhalation de substances antigéniques. Les manifestations cliniques incluent des efforts respiratoires augmentés, des sifflements et de la toux. Au niveau des voies respiratoires, on observe une augmentation du muscle lisse péribronchique, une fibrose sous épithéliale, une métaplasie/hyperplasie épithéliale et du mucus en quantité augmentée. L’augmentation du muscle lisse est particulièrement importante car elle n’affecte pas seulement le calibre basal des voies respiratoires, mais elle accentue l’obstruction respiratoire lors de bronchoconstriction. Ces changements sont regroupés sous le terme de « remodelage » et sont associés à un déclin accéléré de la fonction respiratoire chez les patients asthmatiques. Alors que les traitements actuels contrôlent efficacement le bronchospasme et relativement bien l’inflammation, leurs effets sur le remodelage sont mal connus. Dans le cadre de thèse, la réversibilité du remodelage musculaire péribronchique a été investiguée chez des chevaux atteints du souffle dans deux études longitudinales. Ces études, faites principalement sur du tissu pulmonaire prélevé par thoracoscopie, sont difficilement réalisables chez l’humain pour des raisons éthiques, ou chez d’autres animaux, car ceux-ci présentent rarement une inflammation de type asthmatique de façon spontanée. Les résultats démontrent que les chevaux atteints du souffle ont approximativement deux fois plus de muscle péribronchique que les chevaux sains d’âge similaire gardés dans les mêmes conditions, et que la prolifération des myocytes contribue à cette augmentation. Ils démontrent aussi qu’une stimulation antigénique relativement brève chez des chevaux atteints du souffle depuis plusieurs années n’accentue pas le remodelage, ce qui suggère que l’augmentation du muscle lisse atteint un plateau. Nous avons également montré que le remodelage du muscle lisse chez des chevaux adultes est partiellement réversible et que cette réversibilité peut être accélérée par l’administration de corticostéroïdes par inhalation. Il semble toutefois qu’une portion du remodelage chronique est irréversible puisque les corticostéroïdes ont accéléré la diminution du muscle mais sans toutefois mener à une amélioration plus marquée au terme de l’étude qu’avec une modification environnementale stricte. La diminution de trente pourcent observée sur un an paraît modeste mais elle démontre clairement, et pour une première fois, que le remodelage du muscle lisse présent chez des chevaux adultes malades depuis plusieurs années est au moins partiellement réversible.

El acuerdo de cooperación técnica nuclear firmado entre Brasil y Francia en 2009 y su relación con la búsqueda de Brasil de consolidar su proyecto de liderazgo global

Brasil, ha buscado en las últimas décadas consolidar su proyección y vocación como Estado lider en el mundo. Por ello, ve el desarrollo del área nuclear como una capacidad importante de los países líderes y por ello busca desarrollar aún más todas sus capacidades como Estado.

Genetic analysis of factors regulating mesenchymal cell fates

Formation of cartilage and bone involves sequential processes in which undifferentiated mesenchyme aggregates into primordial condensations which subsequently grow and differentiate, resulting in morphogenesis of the adult skeleton. While much has been learned about the structural molecules which comprise cartilage and bone, little is known about the nuclear factors which regulate chondrogenesis and osteogenesis. MHox is a homeobox-containing gene which is expressed in the mesenchyme of facial, limb, and vertebral skeletal precursors during mouse embryogenesis. MHox expression has been shown to require epithelial-derived signals, suggesting that MHox may regulate the epithelial-mesenchymal interactions required for skeletal organogenesis. To determine the functions of MHox, we generated a loss-of-function mutation in the MHox gene. Mice homozygous for a mutant MHox allele exhibit defects of skeletogenesis, involving the loss or malformation of craniofacial, limb and vertebral skeletal structures. The affected skeletal elements are derived from the cranial neural crest, as well as somitic and lateral mesoderm. Analysis of the mutant phenotype during ontogeny demonstrated a defect in the formation or growth of chondrogenic and osteogenic precursors. These findings provide evidence that MHox regulates the formation of preskeletal condensations from undifferentiated mesenchyme. In addition, generation of mice doubly mutant for the MHox and S8 homeobox genes reveal that these two genes interact to control formation of the limb and craniofacial skeleton. Mice carrying mutant alleles for S8 and MHox exhibit an exaggeration of the craniofacial and limb phenotypes observed in the MHox mutant mouse. Thus, MHox and S8 are components of a combinatorial genetic code controlling generation of the skeleton of the skull and limbs. ^

Orphanin FQ acts as an anxiolytic to attenuate behavioral responses to stress

Orphanin FQ (OFQ, Nociceptin) is a recently discovered 17-amino acid neuropeptide that is structurally related to the opioid peptides but does not bind opioid receptors. OFQ has been proposed to act as an anti-opioid peptide, but its widespread sites of action in the brain suggest that it may have more general functions. Here we show that OFQ plays an important role in higher brain functions because it can act as an anxiolytic to attenuate the behavioral inhibition of animals acutely exposed to stressful/anxiogenic environmental conditions. OFQ anxiolytic-like effects were consistent across several behavioral paradigms generating different types of anxiety states in animals (light-dark preference, elevated plus-maze, exploratory behavior of an unfamiliar environment, pharmacological anxiogenesis, operant conflict) and were observed at low nonsedating doses (0.1–3 nmol, intracerebroventricular). Like conventional anxiolytics, OFQ interfered with regular sensorimotor function at high doses (>3 nmol). Our results show that an important role of OFQ is to act as an endogenous regulator of acute anxiety responses. OFQ, probably in concert with other major neuropeptides, exerts a modulatory role on the central integration of stressful stimuli and, thereby, may modulate anxiety states generated by acute stress.

The University of California (in Los Angeles); a resume of the selection and acquisition of the Westwood site.

Rocq

Instrumentation for force and pressure measurements in a hypersonic shock tunnel

Mode of access: Internet.

A generation of judges,

Cockburn.--Lush.--Quain and Archibald.--Kelly.--Cleasby.--Willes.--Byles.--Martin.--James and Mellish.--Thesiger.--Holker.--Amphlett and Hall.--Hatherley.--Malins.--Cairns.--Jessel.--Karslake.--Benjamin.--Phillimore.--Watkin Williams

Morning sectional clinic

On verso: Exercise in obstetrics and gynecology in 1893. Prof. James Nelson Martin listening to the history read by a student.

1961 UM Track Team

Top Row: Douglas Niles, Frederick Langille, Wallace Herrala, Charles Peltz, Jeff Engel.

3rd Row: asst. coach Elmer Swanson, Richard Thelwell, Carter Reese, Jerry Gerich, Stephen Overton, Charles Aquino, James Montour.

2nd Row: Rodney Denhart, William Hornbeck, Bennie McRae, John Gregg, Raymond Locke, Frank Geist, L. Bryan Gibson, Donald Chalfant.

Front now Lester Bird, Marshall Dickerson, Richard Cephas, Ergas Leps, Coach Don Canham, David Martin, James Wyman, Walter Schafer.

Biblical commentary on the prophecies of Isaiah.

Mode of access: Internet.