Finite Alphabet Control of Logistic Networks with Discrete Uncertainty

We consider logistic networks in which the control and disturbance inputs take values in finite sets. We derive a necessary and sufficient condition for the existence of robustly control invariant (hyperbox) sets. We show that a stronger version of this condition is sufficient to guarantee robust global attractivity, and we construct a counterexample demonstrating that it is not necessary. Being constructive, our proofs of sufficiency allow us to extract the corresponding robust control laws and to establish the invariance of certain sets. Finally, we highlight parallels between our results and existing results in the literature, and we conclude our study with two simple illustrative examples

Orthogonal polynomial kernels and canonical correlations for Dirichlet measures

We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coefficients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions. The marginal distributions examined in this paper are the Dirichlet and the Dirichlet multinomial distribution, respectively, on the continuous and the N-discrete d-dimensional simplex. Their infinite-dimensional limit distributions, respectively, the Poisson-Dirichlet distribution and Ewens's sampling formula, are considered as well. We study, in particular, the possibility of mapping canonical correlations on the d-dimensional continuous simplex (i) to canonical correlation sequences on the d+1-dimensional simplex and/or (ii) to canonical correlations on the discrete simplex, and vice versa. Driven by this motivation, the first half of the paper is devoted to providing a full characterization and probabilistic interpretation of n-orthogonal polynomial kernels (i.e., sums of products of orthogonal polynomials of the same degree n) with respect to the mentioned marginal distributions. We establish several identities and some integral representations which are multivariate extensions of important results known for the case d=2 since the 1970s. These results, along with a common interpretation of the mentioned kernels in terms of dependent Polya urns, are shown to be key features leading to several non-trivial solutions to Lancaster's problem, many of which can be extended naturally to the limit as $d\rightarrow\infty$.Comment: Published in at http://dx.doi.org/10.3150/11-BEJ403 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm

Slow quench dynamics of periodically driven quantum gases

We study the evolution of bosons in a periodically driven optical lattice during a slow change of the driving amplitude. Both the regime of high frequency and low frequency driving are investigated. In the low frequency regime, resonant absorption of energy is observed. In the high frequency regime, the dynamics is compared to a system with an effective Hamiltonian in which the atoms are `dressed' by the driving field. This `dressing' can dramatically change the amplitude and sign of the effective tunneling. A particular focus of this study is the investigation of the time-scales necessary for the evolving quantum state to follow almost adiabatically to the ground-state of the effective many body system.Comment: 10 pages, 8 figure

Inflammation, DNA-centered radicals, and oxidative genotoxicity: The role of HOCl produced by myeloperoxidase in carcinogenesis

Myeloid cells (macrophages and neutrophils) infiltrate and synthesize myeloperoxidase (MPO) in sites of inflammation, producing gentotoxicity. In RAW 264.7 macrophages, bacterial lipopolysaccharide (LPS) induces superoxide radical anion, nuclear deformation (nuclear protuberances), MPO synthesis, biomolecule oxidation and cell death. “Freezing” LPS-triggered macrophage activation with the nitrone spin trap 5,5-dimethyl-1-pyrroline N-oxide (DMPO) prevented cell activation and death. Oxidation of proteins and genomic DNA was also blocked, with formation of protein- and DNA-DMPO nitrone adducts, as analyzed by immuno-spin trapping with a polyclonal anti-DMPO serum. Interestingly, confocal microscopy analysis of these cells showed that MPO, genomic DNA, and DNA-DMPO nitrone adducts co-localized in the nuclear protuberances. These observations, and the fact that DNA is negatively charged and MPO is a cationic protein, suggest a role for uptaken or newly synthesized MPO in oxidative genotoxicity induced by myeloid cells in sites of inflammation. 
In order to understand MPO-induced formation of DNA-centered radicals, we studied DNA-DMPO nitrone adducts in calf thymus DNA treated with micromolar concentrations of hypochlorous acid (HOCl) added as a bolus or generated in situ by the MPO/H2O2/Cl- system in the presence of DMPO. We also investigated DNA-DMPO nitrone adducts inside living cells containing MPO. The cell models we used were: i) human leukemia (HL)-60 cells, which overexpress MPO, ii) RAW 264.7 macrophages activated with LPS (1 ng/ml for 24 h), to induce MPO, and iii) A549 human airway epithelial cells pre-loaded with human MPO. When these cells were activated with the phorbol ester PMA, the number of 6-thioguanine-resistant cells with the hypoxanthine-guanine phosphoribosyl transferase (HRPT) mutation increased. This mutation was prevented by each of the following: the NADPH oxidase inhibitor apocynin; the MPO inhibitors salicylhydroxamic acid and 4-aminobenzoic acid hydrazide; the cell-permeable HOCl scavenger resveratrol; and DMPO, which traps DNA-centered radicals and prevents further oxidation. 
Genomic DNA-centered radicals and further mutagenesis induced by activated myeloid cells in sites of inflammation can be prevented by blocking MPO activity, preventing formation of and/or scavenging HOCl, or trapping DNA-centered radicals. Our findings provide new therapeutic avenues for preventing carcinogenesis induced by infiltration and activation of myeloid cells in sites of inflammation, for example, in the lung exposed to particulate matter. SUPPORTED BY NIEHS 5R00ES015415-03
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Quantum annealing and the Schr\"odinger-Langevin-Kostin equation

We show, in the context of quantum combinatorial optimization, or quantum annealing, how the nonlinear Schr\"odinger-Langevin-Kostin equation can dynamically drive the system toward its ground state. We illustrate, moreover, how a frictional force of Kostin type can prevent the appearance of genuinely quantum problems such as Bloch oscillations and Anderson localization which would hinder an exhaustive search.Comment: 5 pages, 4 figures. To appear on Physical Review

Dynamic transition to spontaneous scalarization in boson stars

We show that the phenomenon of spontaneous scalarization predicted in neutron stars within the framework of scalar-tensor tensor theories of gravity, also takes place in boson stars without including a self-interaction term for the boson field (other than the mass term), contrary to what was claimed before. The analysis is performed in the physical (Jordan) frame and is based on a 3+1 decomposition of spacetime assuming spherical symmetry.Comment: Minor changes to match the final version to appear in PR