ADVENTURES IN FRIEDMANN COSMOLOGIES---INTERACTION OF POSITIVE ENERGY DENSITIES WITH NEGATIVE ENERGY DENSITIES AND CURVATURE OF THE UNIVERSE

In this report we will investigate the effect of negative energy density in a classic Friedmann cosmology. Although never measured and possibly unphysical, the evolution of a Universe containing a significant cosmological abundance of any of a number of hypothetical stable negative energy components is explored. These negative energy (Ω < 0) forms include negative phantom energy (w<-1), negative cosmological constant (w=-1), negative domain walls (w=-2/3), negative cosmic strings (w= -1/3), negative mass (w=0), negative radiation (w=1/3), and negative ultra-light (w > 1/3). Assuming that such universe components generate pressures as perfect fluids, the attractive or repulsive nature of each negative energy component is reviewed. The Friedmann equations can only be balanced when negative energies are coupled to a greater magnitude of positive energy or positive curvature, and minimal cases of both of these are reviewed. The future and fate of such universes in terms of curvature, temperature, acceleration, and energy density are reviewed including endings categorized as a Big Crunch, Big Void, or Big Rip and further qualified as "Warped", "Curved", or "Flat", "Hot" versus "Cold", "Accelerating" versus" Decelerating" versus "Coasting". A universe that ends by contracting to zero energy density is termed a Big Poof. Which contracting universes ``bounce" in expansion and which expanding universes ``turnover" into contraction are also reviewed. The name by which the ending of the Universe is mentioned is our own nomenclature.

Light Transport in PT-invariant Photonic Structures with Hidden Symmetries

We introduce a recursive bosonic quantization technique for generating classical PT photonic structures that possess hidden symmetries and higher order exceptional points. We study light transport in these geometries and we demonstrate that perfect state transfer is possible only for certain initial conditions. Moreover, we show that for the same propagation direction, left and right coherent transports are not symmetric with field amplitudes following two different trajectories. A general scheme for identifying the conservation laws in such PT-symmetric photonic networks is also presented.

Differential optical densities of intraretinal spaces

PURPOSE: To test the hypothesis that hyporeflective spaces in the neuroretina found on optical coherence tomography (OCT) examination have different optical reflectivities according to whether they are associated with exudation or degeneration. METHODS: Retrospective analysis of eyes with idiopathic perifoveal telangiectasia (IPT), diabetic macular edema (DME), idiopathic central serous chorioretinopathy (CSC), retinitis pigmentosa (RP), or cone dystrophy (CD) and eyes of healthy control subjects. OCT scans were performed. Raw scan data were exported and used to calculate light reflectivity profiles. Reflectivity data were acquired by projecting three rectangular boxes, each 50 pixels long and 5 pixels wide, into the intraretinal cystoid spaces, centrally onto unaffected peripheral RPE, and onto the prefoveolar vitreous. Light reflectivity in the retinal pigment epithelium (RPE), vitreous, and intraretinal spaces for the different retinal conditions and control subjects were compared. RESULTS: Reflectivities of the vitreous and the RPE were similar among the groups. Hyporeflective spaces in eyes with exudation (DME, RP, and CSC) had higher reflectivity compared with the mean reflectivity of the vitreous, whereas the cystoid spaces in the maculae of the eyes without exudation (CD and IPT) had a lower reflectivity than did the normal vitreous. CONCLUSIONS: Analysis of the light reflectivity profiles may be a tool to determine whether the density of hyporeflective spaces in the macula is greater or less than that of the vitreous, and may be a way to differentiate degenerative from exudative macular disease.

Immunological microenvironment in prostate cancer: high mast cell densities are associated with favorable tumor characteristics and good prognosis

BACKGROUND: Number of intratumoral mast cells predicts survival in various cancers. The prognostic significance of such mast cells in surgically treated prostate cancer is unknown. METHODS: Mast cell densities were determined in prostate cancer samples of more than 2,300 hormone-naïve patients using a tissue microarray format in correlation with clinical follow-up data. Mast cells were visualized immunohistochemically (c-kit). All patients were homogeneously treated by radical prostatectomy at a single institution. RESULTS: Mast cells were present in 95.9% of the tumor samples. Median mast cell number on the tissue spot was 9 (range: 0-90; median density: 31 mast cells/mm(2)). High mast cell densities were significantly associated with more favorable tumors having lower preoperative prostate-specific antigen (P = 0.0021), Gleason score (P < 0.0001) and tumor stage (P < 0.0001) than tumors with low mast cell densities. Prostate-specific antigen recurrence-free survival significantly (P = 0.0001) decreased with decline of mast cell density showing poorest outcome for patients without intratumoral mast cells. In multivariate analysis mast cell density narrowly missed to add independent prognostic information (P = 0.0815) for prostate-specific antigen recurrence. CONCLUSION: High intratumoral mast cell density is associated with favorable tumor characteristics and good prognosis in prostate cancer. This finding is consistent with a role of mast cells in the immunological host-defense reaction on prostate cancer. Triggering mast cell activity might expand immunotherapeutic strategies in prostate cancer.

Kernels and Designs for Modelling Invariant Functions: From Group Invariance to Additivity

We focus on kernels incorporating different kinds of prior knowledge on functions to be approximated by Kriging. A recent result on random fields with paths invariant under a group action is generalised to combinations of composition operators, and a characterisation of kernels leading to random fields with additive paths is obtained as a corollary. A discussion follows on some implications on design of experiments, and it is shown in the case of additive kernels that the so-called class of “axis designs” outperforms Latin hypercubes in terms of the IMSE criterion.

The SU(3)-invariant sector of new maximal supergravity

We investigate the SU(3)-invariant sector of the one-parameter family of SO(8) gauged maximal supergravities that has been recently discovered. To this end, we construct the N=2 truncation of this theory and analyse its full vacuum structure. The number of critical point is doubled and includes new N=0 and N=1 branches. We numerically exhibit the parameter dependence of the location and cosmological constant of all extrema. Moreover, we provide their analytic expressions for cases of special interest. Finally, while the mass spectra are found to be parameter independent in most cases, we show that the novel non-supersymmetric branch with SU(3) invariance provides the first counterexample to this.

Defining the role of IL-15 trans-presentation by distinct cell-types during the development and homeostasis of Natural Killer and invariant Natural Killer T cells

The immuno-regulatory functions displayed by NK and iNKT cells have highlighted their importance as key lymphocytes involved in innate and adaptive immunity. Therefore, understanding the dynamics influencing the generation of NK and iNKT cells is extremely important. IL-15 has been shown to provide a critical signal throughout the development and homeostasis of NK and iNKT cells; however, the cellular source of IL-15 has remained unclear. In this investigation, I provide evidence that the cell-type providing IL-15 to NK and iNKT cells via trans-presentation is determined by the tissue site and the maturation status of NK and iNKT cells. For NK cells, I revealed the non-hematopoietic compartment provides IL-15 to NK cells in the early stages of development while hematopoietic cells were crucial for the generation and maintenance of mature NK cells. Regarding iNKT cells in the thymus, IL-15 trans-presentation by non-hematopoietic cells was crucial for the survival of mature iNKT cells. In the liver, both hematopoietic and non-hematopoietic compartments provided IL-15 to both immature and mature iNKT cells. This IL-15 signal helped mediate the survival and proliferation of both NK and iNKT cells as well as induce the functional maturation of mature iNKT cells via enhanced T-bet expression. In conclusion, my work illustrates an important notion that the immunological niche of NK and iNKT cells is tightly regulated and that this regulation is meticulously influenced by the tissue microenvironment.

Transcriptional regulation of the invariant chain associated with MHC class II molecules

The invariant chain associated with the major histocompatibility complex (MHC) class II molecules is a non-polymorphic glycoprotein implicated in antigen processing and class II molecule intracellular transport. Class II molecules and invariant chain (In) are expressed primarily by B lymphocytes and antigen-presenting cells such as macrophages and can be induced by interferon gamma (IFN-$\gamma$) in a variety of cell types such as endothelial cells, fibroblasts, and astrocytes. In this study the cis-acting sequences involved in the constitutive, tissue-specific, and IFN-$\gamma$ induced expression of the human In gene were investigated and nuclear proteins which specifically bound these sequences were identified.^ To define promoter sequences involved in the regulation of the human In gene, 790 bp 5$\sp\prime$ to the initiation of transcription were subcloned upstream of the gene encoding chloramphenicol acetyl transferase (CAT). Transfection of this construct into In expressing and non-expressing cell lines demonstrated that this 790 bp In promoter sequence conferred tissue specificity to the CAT gene. Deletion mutants were created in the promoter to identify sequences important for transcription. Three regulatory regions were identified $-$396 to $-$241, $-$241 to $-$216, and $-$216 to $-$165 bp 5$\sp\prime$ to the cap site. Transfection into a human glioblastoma cell line, U-373 MG, and treatment with IFN-$\gamma$, demonstrated that this 5$\sp\prime$ region is responsive to IFN-$\gamma$. An IFN-$\gamma$ response element was sublocalized to the region $-$120 to $-$61 bp. This region contains homology to the interferon-stimulated response element (ISRE) identified in other IFN responsive genes. IFN-$\gamma$ induces a sequence-specific DNA binding factor which binds to an oligonucleotide corresponding to $-$107 to $-$79 bp of the In promoter. This factor also binds to an oligonucleotide corresponding to $-$91 to $-$62 of the interferon-$\beta$ gene promoter, suggesting this factor may be member of the IRF-1/ISGF2, IRF-2, ICSBP family of ISRE binding proteins. A transcriptional enhancer was identified in the first intron of the In gene. This element, located in a 2.6 kb BamHI/PstI fragment, enhances the IFN-$\gamma$ response of the promoter in U-373 MG. The majority of the In enhancer activity was sublocalized to a 550 bp region $\sim$1.6 kb downstream of the In transcriptional start site. ^