Coxeter group structure of cosmological billiards on compact spatial manifolds

We present a systematic study of the cosmological billiard structures of Einstein-p-form systems in which all spatial directions are compactified on a manifold of nontrivial topology. This is achieved for all maximally oxidised theories associated with split real forms, for all possible compactifications as defined by the de Rham cohomology of the internal manifold. In each case, we study the Coxeter group that controls the dynamics for energy scales below the Planck scale as well as the relevant billiard region. We compare and contrast them with the Weyl group and fundamental domain that emerge from the general BKL analysis. For generic topologies we find a variety of possibilities: (i) The group may or may not be a simplex Coxeter group; (ii) The billiard region may or may not be a fundamental domain. When it is not a fundamental domain, it can be described as a sequence of pairwise adjacent chambers, known as a gallery, and the reflections in the billiard walls provide a non-standard presentation of the Coxeter group. We find that it is only when the Coxeter group is a simplex Coxeter group, and the billiard region is a fundamental domain, that there is a correspondence between billiard walls and simple roots of a Kac-Moody algebra, as in the general BKL analysis. For each compactification we also determine whether or not the resulting theory exhibits chaotic dynamics.Comment: 51 pages. Typos corrected. References added. Submitted for publicatio

Enhanced Integrin α4β1-Mediated Adhesion Contributes to a Mobilization Defect of Endothelial Progenitor Cells in Diabetes.

Diabetes is associated with a deficit of circulating endothelial progenitor cells (EPCs), which has been attributed to their defective mobilization from the bone marrow. The basis for this mobilization defect is not completely understood, and we sought to determine if hyperglycemic conditions enhanced EPC adhesion. We found that culturing EPCs in high glucose media increased adhesion to bone marrow stromal cells. This enhanced adhesion was associated with decreased expression of protein kinase A regulatory subunit 1β (PRKAR1β), activation of protein kinase A (PKA), and phosphorylation of α4-integrin on serine 988. This potentiated adhesion was reversed by treatment with a PKA inhibitor, overexpression of PRKAR1β, or expression of a phosphorylation-defective α4-integrin variant (α4[S988A]). Using a model of type 1 diabetes, we showed that α4(S988A)-expressing mice have more circulating EPCs than their wild-type counterparts. Moreover, diabetic α4(S988A) mice demonstrate enhanced revascularization after hind limb ischemia. Thus, we have identified a novel signaling mechanism activating PKA in diabetes (downregulation of an inhibitory regulatory subunit) that leads to deficits of circulating EPCs and impaired vascular repair, which could be reversed by α4-integrin mutation

The changing social environment for adolescents in Kassena-Nankana District of northern Ghana: Implications for reproductive behavior

This study reports on a primarily qualitative investigation of adolescent reproductive behavior in the Kassena-Nankana District, a rural isolated area in northern Ghana, where traditional patterns of marriage, family formation, and social organization persist. The study is based on in-depth interviews and focus groups with adolescents, parents, chiefs and traditional leaders, teachers, youth leaders, and health workers, supplemented by quantitative data from the 1996 wave of a panel survey of reproductive-aged women conducted by the Navrongo Health Research Centre. The social environment faced by adolescent boys and girls in the Kassena-Nankana District and its links to reproductive behavior are described. The principal question is whether even in this remote, rural area, the environment has been altered in ways that have undermined traditional sexual and reproductive patterns. The survey data indicate a considerable increase in educational attainment among younger women. In addition, it appears that the incidence of early marriage has begun to decline. The qualitative data suggest that social institutions, systems, and practices such as female circumcision, which previously structured the lives of adolescent boys and girls, have eroded, leading to an apparent increase in premarital sexual activity. The implications of these developments for adolescent health and well-being in the District are discussed

Fetal Mediastinal Lymphangiomas

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135645/1/jum2008271145.pd

Vainshtein Mechanism in Binary Pulsars

We compute the scalar gravitational radiation from a binary pulsar system in the simplest model that exhibits the Vainshtein mechanism. The mechanism is successful in screening the effect from scalar fields conformally coupled to matter, although gravitational radiation is less suppressed relative to its general relativity predictions than static fifth forces effects within the pulsar system. This is due to a combination of two effects: firstly the existence of monopole and dipole radiation; secondly the Vainshtein suppression comes from the hierarchy of scales between the inverse frequency scale and the Vainshtein radius, rather than the orbital radius of the pulsar system. Extensions of these results will have direct relevance to infrared modifications of gravity, such as massive gravity theories, which are known to exhibit a Vainshtein mechanism. Generalization to Galileon models with higher order interactions are likely to provide stronger constraints.Comment: minor revisions to match published version in pr