Entanglement and particle correlations of Fermi gases in harmonic traps

We investigate quantum correlations in the ground state of noninteracting Fermi gases of N particles trapped by an external space-dependent harmonic potential, in any dimension. For this purpose, we compute one-particle correlations, particle fluctuations and bipartite entanglement entropies of extended space regions, and study their large-N scaling behaviors. The half-space von Neumann entanglement entropy is computed for any dimension, obtaining S_HS = c_l N^(d-1)/d ln N, analogously to homogenous systems, with c_l=1/6, 1/(6\sqrt{2}), 1/(6\sqrt{6}) in one, two and three dimensions respectively. We show that the asymptotic large-N relation S_A\approx \pi^2 V_A/3, between the von Neumann entanglement entropy S_A and particle variance V_A of an extended space region A, holds for any subsystem A and in any dimension, analogously to homogeneous noninteracting Fermi gases.Comment: 15 pages, 22 fig

Modelling diffusional transport in the interphase cell nucleus

In this paper a lattice model for diffusional transport of particles in the interphase cell nucleus is proposed. Dense networks of chromatin fibers are created by three different methods: randomly distributed, non-interconnected obstacles, a random walk chain model, and a self avoiding random walk chain model with persistence length. By comparing a discrete and a continuous version of the random walk chain model, we demonstrate that lattice discretization does not alter particle diffusion. The influence of the 3D geometry of the fiber network on the particle diffusion is investigated in detail, while varying occupation volume, chain length, persistence length and walker size. It is shown that adjacency of the monomers, the excluded volume effect incorporated in the self avoiding random walk model, and, to a lesser extent, the persistence length, affect particle diffusion. It is demonstrated how the introduction of the effective chain occupancy, which is a convolution of the geometric chain volume with the walker size, eliminates the conformational effects of the network on the diffusion, i.e., when plotting the diffusion coefficient as a function of the effective chain volume, the data fall onto a master curve.Comment: 9 pages, 8 figure

Some Physical Consequences of Abrupt Changes in the Multipole Moments of a Gravitating Body

The Barrab\`es-Israel theory of light-like shells in General Relativity is used to show explicitly that in general a light-like shell is accompanied by an impulsive gravitational wave. The gravitational wave is identified by its Petrov Type N contribution to a Dirac delta-function term in the Weyl conformal curvature tensor (with the delta-function singular on the null hypersurface history of the wave and shell). An example is described in which an asymptotically flat static vacuum Weyl space-time experiences a sudden change across a null hypersurface in the multipole moments of its isolated axially symmetric source. A light-like shell and an impulsive gravitational wave are identified, both having the null hypersurface as history. The stress-energy in the shell is dominated (at large distance from the source) by the jump in the monopole moment (the mass) of the source with the jump in the quadrupole moment mainly responsible for the stress being anisotropic. The gravitational wave owes its existence principally to the jump in the quadrupole moment of the source confirming what would be expected.Comment: 26 pages, tex, no figures, to appear in Phys.Rev.

Confronting the Challenge of Whale Detection from Large Vessels

As a result of a moratorium on commercial whaling, most populations of large whales are increasing across the globe. However, concurrent growth in shipping means that lethal ship-whale collisions constitute a significant threat to whale conservation efforts. This study investigates the ability of ship operators to detect and avoid whales by quantifying the predictability of whale surfacing behaviors, which are the cues used to determine whale presence. Whale avoidance is challenging because whales spend most of their time underwater and thus unavailable to be detected (the “availability process”), but must be detected at sufficiently large distances (the “detection process”) to enact an effective avoidance maneuver.  We quantified one of the main characteristics of whale behavior that governs detectability – time breaking the surface – to create a novel model of whale surfacing patterns around ships while accounting for the detection process. We then estimated the frequency with which cues go undetected (i.e. whales break the surface but ship operators are unaware of them), as well as the frequency with which whales are present but unavailable for detection (i.e. below the surface of the water). This work will enable the prediction of close ship-whale encounters given different combinations of detected and/or missed cues at varying ship speeds. It will support ship operators’ avoidance efforts by quantifying the availability and detection processes in a way that facilitates the development of whale avoidance protocols

TNF and IL‐6 mediate MIP‐1α expression in bleomycin‐induced lung injury

Previously, macrophage inflammatory protein‐1α (MIP‐1α), a member of the C‐C chemokine family, has been implicated in bleomycin‐induced pulmonary fibrosis, a model of the human disease idiopathic pulmonary fibrosis. Neutralization of MIP‐1α protein with anti‐MIP‐1α antibodies significantly attenuated both mononuclear phagocyte recruitment and pulmonary fibrosis in bleomycin‐challenged CBA/J mice. However, the specific stimuli for MIP‐1α expression in the bleomycin‐induced lesion have not been characterized. In this report, two mediators of the inflammatory response to bleomycin, tumor necrosis factor (TNF) and interleukin‐6 (IL‐6), were evaluated as putative stimuli for MIP‐1α expression after bleomycin challenge in CBA/J mice. Elevated levels of bioactive TNF and IL‐6 were detected in bronchoalveolar lavage (BAL) fluid and lung homogenates from bleomycin‐treated CBA/J mice at time points post‐bleomycin challenge, which precede MIP‐1α protein expression. Treatment of bleomycin‐challenged mice with soluble TNF receptor (sTNFr) or anti‐IL‐6 antibodies significantly decreased MIP‐1α protein expression in the lungs. Furthermore, normal alveolar macrophages secreted elevated levels of MIP‐1α protein in response to treatment with TNF plus IL‐6 or bleomycin plus IL‐6, but not TNF, bleomycin, or IL‐6 alone. Finally, leukocytes recovered from the BAL fluid of bleomycin‐challenged mice secreted higher levels of MIP‐1α protein, compared to controls, when treated with TNF alone. Based on the data presented here, we propose that TNF and IL‐6 are part of a cytokine network that modulates MIP‐1α protein expression in the profibrotic inflammatory lesion during the response to intratracheal bleomycin challenge. J. Leukoc. Biol. 64: 528–536; 1998.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/141711/1/jlb0528.pd

Klüver-Bucy syndrome associated with a recessive variant in HGSNAT in two siblings with Mucopolysaccharidosis type IIIC (Sanfilippo C)

Kluver-Bucy syndrome (KBS) comprises a set of neurobehavioral symptoms with psychic blindness, hypersexuality, disinhibition, hyperorality, and hypermetamorphosis that were originally observed after bilateral lobectomy in Rhesus monkeys. We investigated two siblings with KBS from a consanguineous family by whole-exome sequencing and autozygosity mapping. We detected a homozygous variant in the heparan-alpha-glucosaminidase-N-acetyltransferase gene (HGSNAT; c.518G>A, p.(G173D), NCBI ClinVar RCV000239404.1), which segregated with the phenotype. Disease-causing variants in this gene are known to be associated with autosomal recessive Mucopolysaccharidosis type IIIC (MPSIIIC, Sanfilippo C). This lysosomal storage disease is due to deficiency of the acetyl-CoA:alpha-glucosaminidase-N-acetyltransferase, which was shown to be reduced in patient fibroblasts. Our report extends the phenotype associated with MPSIIIC. Besides MPSIIIA and MPSIIIB, due to variants in SGSH and NAGLU, this is the third subtype of Sanfilippo disease to be associated with KBS. MPSIII should be included in the differential diagnosis of young patients with KBS

The role of ILâ 5 in bleomycinâ induced pulmonary fibrosis

Eosinophils are known to express cytokines capable of promoting fibrosis. Interleukinâ 5 (ILâ 5) is important in regulating eosinophilopoiesis, eosinophil recruitment and activation. Lung ILâ 5 expression is elevated in pulmonary fibrosis, wherein the eosinophil is a primary source of fibrogenic cytokines. To determine the role of ILâ 5 in pulmonary fibrosis, the effects of antiâ ILâ 5 antibody were investigated in a model of bleomycinâ induced pulmonary fibrosis. Fibrosis was induced in mice by endotracheal bleomycin treatment. Animals were also treated with either antiâ ILâ 5 antibody or control IgG. Lungs were then analyzed for fibrosis, eosinophil influx, chemotactic activity, and cytokine expression. The results show that a primary chemotactic activity at the height of eosinophil recruitment is ILâ 5. Furthermore, antiâ ILâ 5 antibody caused significant reduction in lung eosinophilia, cytokine expression, and fibrosis. These findings taken together suggest an important role for ILâ 5 in pulmonary fibrosis via its ability to regulate eosinophilic inflammation, and thus eosinophilâ dependent fibrogenic cytokine production. J. Leukoc. Biol. 64: 657â 666; 1998.Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/141191/1/jlb0657.pd

Stem cell factor and IgE-stimulated murine mast cells produce chemokines (CCL2, CCL17, CCL22) and express chemokine receptors

Objective and design: In the present study we investigated the effect of SCF and/or IgE on histamine, TNF- α and chemokines released from bone marrow-derived mast cells (BMMC) as well as chemokine receptor expression.¶ Material and methods: BMMC were derived from femoral bone marrow of CBA/J mice. The purity of BMMC was >98%percnt; after 3 weeks. BMMC (2.5 × 10 6 cells/well) were incubated in the presence or absence of either SCF, IgE plus DNP or a combination of SCF and IgE for 6 and 18 h. Cell-free supernatants were recovered to measure CC chemokines, TNF- α and histamine release utilizing ELISA assays. CC chemokine family receptors were detected by RT-PCR analysis, and confirmed using functional chemotactic assays.¶ Results: Histamine levels were comparable between SCF and IgE stimulated cells, whereas TNF- α production was significantly greater after IgE compared to SCF stimulation. SCF and/or IgE-stimulated BMMC released CC chemokines, CCL22 (MDC), CCL17 (TARC) and CCL2 (MCP-1). Increased mRNA expression of CCR1, CCR2, CCR3, and CCR5 was detected in SCF and IgE-stimulated BMMCs. Functional chemotactic assays confirmed the expression data.¶ Conclusion: SCF and IgE can up-regulate the expression of chemokines and chemokine receptors on mast cells. Thus, SCF may play a significant role in their activation and inflammation during allergic responses.¶Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/41824/1/11-50-3-168_10500168.pd

Increased responsiveness of murine eosinophils to MIPâ 1β (CCL4) and TCAâ 3 (CCL1) is mediated by their specific receptors, CCR5 and CCR8

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/141970/1/jlb1019.pd

Birth and death processes and quantum spin chains

This papers underscores the intimate connection between the quantum walks generated by certain spin chain Hamiltonians and classical birth and death processes. It is observed that transition amplitudes between single excitation states of the spin chains have an expression in terms of orthogonal polynomials which is analogous to the Karlin-McGregor representation formula of the transition probability functions for classes of birth and death processes. As an application, we present a characterization of spin systems for which the probability to return to the point of origin at some time is 1 or almost 1.Comment: 14 page