Physical Sciences and Mathematics Commons^™

Bohr Density Of Simple Linear Group Orbits, Roger Howe, François Ziegler

François Ziegler

We show that any non-zero orbit under a non-compact, simple, irreducible linear group is dense in the Bohr compactification of the ambient space.

Local Well-Posedness Of Periodic Fifth Order Kdv-Type Equations, Yi Hu, Xiaochun Li

Yi Hu

In this paper, the local well-posedness of periodic fifth order dispersive equation with nonlinear term P1(u)∂xu + P2(u)∂xu∂xu. Here P1(u) and P2(u) are polynomials of u. We also get some new Strichartz estimates.

Primary Spaces, Mackey’S Obstruction, And The Generalized Barycentric Decomposition, Patrick Iglesias-Zemmour, François Ziegler

François Ziegler

We call a hamiltonian N-space primary if its moment map is onto a single coadjoint orbit. The question has long been open whether such spaces always split as (homogeneous) × (trivial), as an analogy with representation theory might suggest. For instance, Souriau’s barycentric decomposition theorem asserts just this when N is a Heisenberg group. For general N, we give explicit examples which do not split, and show instead that primary spaces are always flat bundles over the coadjoint orbit. This provides the missing piece for a full “Mackey theory” of hamiltonian G-spaces, where G is an overgroup in which N …

Generalizations Of The Inverse Weibull And Related Distributions With Applications, Broderick O. Oluyede, Tao Yang

Broderick O. Oluyede

In this paper, the generalized inverse Weibull distribution including the exponentiated or proportional reverse hazard and Kumaraswamy generalized inverse Weibull distributionsare presented. Properties of these distributions including the behavior of the hazard and reverse hazard functions, moments, coefficients of variation, skewness, andkurtosis, entropy, Fisher information matrix are studied. Estimates of the model parameters via method of maximum likelihood (ML), and method of moments (MOM) are presented for complete and censored data. Numerical examples are also presented.

Localized Quantum States, François Ziegler

François Ziegler

Let X be a symplectic manifold and Aut(L) the automorphism group of a Kostant-Souriau line bundle on X. *Quantum states for X*, as defined by J.-M. Souriau in the 1990s, are certain positive-definite functions on Aut(L) or, less ambitiously, on any "large enough" subgroup G of Aut(L). This definition has two major drawbacks: when G=Aut(L) there are no known examples; and when G is a Lie subgroup the notion is, as we shall see, far from selective enough. In this paper we introduce the concept of a quantum state *localized at Y*, where Y is a coadjoint orbit of a …

Multiscale Geometric Modeling Of Macromolecules I: Cartesian Representation, Kelin Xia, Xin Feng, Zhan Chen, Yiying Tong, Guo-Wei Wei

Zhan Chen

This paper focuses on the geometric modeling and computational algorithm development of biomolecular structures from two data sources: Protein Data Bank (PDB) and Electron Microscopy Data Bank (EMDB) in the Eulerian (or Cartesian) representation. Molecular surface (MS) contains non-smooth geometric singularities, such as cusps, tips and self-intersecting facets, which often lead to computational instabilities in molecular simulations, and violate the physical principle of surface free energy minimization. Variational multiscale surface definitions are proposed based on geometric flows and solvation analysis of biomolecular systems. Our approach leads to geometric and potential driven Laplace–Beltrami flows for biomolecular surface evolution and formation. The …

Matrices From Vegetable Oils, Cashew Nut Shell Liquid, And Other Relevant Systems For Biocomposite Applications, Rafael L. Quirino, Thomas F. Garrison, Michael R. Kessler

Rafael L. Quirino

The partial replacement of petroleum-derived plastics and composites by novel bio-based materials from inexpensive, renewable, natural resources has the potential to greatly impact the plastics, coatings, and composites industries. Natural starting materials are usually abundant and renewable on a time scale many orders of magnitude smaller than petroleum. These characteristics, in combination with good mechanical properties, make the design of bio-based composites an interesting strategy for lowering the environmental impact of the plastics and composites industries while maintaining economical competitiveness. The present review will focus on the progress made over the last decade in the development of a select group …

A Two Years Longitudinal Study Of A Transgenic Huntington Disease Monkey, Anthony W. S. Chan, Yan Xu, Jie Jiang, Tayeb Rahim, Jannet Kocerha, Dongming Zhao, Tim Chi, Heidi Engelhardt, Sean Moran, Katherine Larkin, Adam Neumann, Haiying Cheng, Chunxia Li, Katie Nelson, Heather Banta, Stuart M. Zola, Francois Villinger, Jinjing Yang, Claudia M. Testa, Hui Mao, Xiaodong Zhang, Jocelyne Bachevalier

Jannet Kocerha

Background: A two-year longitudinal study composed of morphometric MRI measures and cognitive behavioral evaluation was performed on a transgenic Huntington’s disease (HD) monkey. rHD1, a transgenic HD monkey expressing exon 1 of the human gene encoding huntingtin (HTT) with 29 CAG repeats regulated by a human polyubiquitin C promoter was used together with four age-matched wild-type control monkeys. This is the first study on a primate model of human HD based on longitudinal clinical measurements.

Results: Changes in striatal and hippocampal volumes in rHD1 were observed with progressive impairment in motor functions and cognitive decline, including deficits in learning stimulus-reward …

Lung Flute Improves Symptoms And Health Status In Copd With Chronic Bronchitis: A 26 Week Randomized Controlled Trial, Sanjay Sethi, Jingjing Yin, Pamela K. Anderson

Jingjing Yin

Background: Chronic obstructive pulmonary disease (COPD) is characterized by mucus hypersecretion that contributes to disease related morbidity and is associated with increased mortality. The Lung Flute® is a new respiratory device that produces a low frequency acoustic wave with moderately vigorous exhalation to increase mucus clearance. We hypothesized that the Lung Flute, used on a twice daily basis will provide clinical benefit to patients with COPD with chronic bronchitis.

Methods: We performed a 26 week randomized, non-intervention controlled, single center, open label trial in 69 patients with COPD and Chronic Bronchitis. The primary endpoint was change in respiratory …

Numerical Studies Of The Generalized L1 Greedy Algorithm For Sparse Signals, Fangjun Arroyo, Edward Arroyo, Xiezhang Li, Jiehua Zhu

Xiezhang Li

The generalized l1 greedy algorithm was recently introduced and used to reconstruct medical images in computerized tomography in the compressed sensing framework via total variation minimization. Experimental results showed that this algorithm is superior to the reweighted l1-minimization and l1 greedy algorithms in reconstructing these medical images. In this paper the effectiveness of the generalized l1 greedy algorithm in finding random sparse signals from underdetermined linear systems is investigated. A series of numerical experiments demonstrate that the generalized l1 greedy algorithm is superior to the reweighted l1-minimization and l1 greedy algorithms in the successful recovery of randomly generated Gaussian sparse …

Symplectic Harmonic Theory And The Federer-Fleming Deformation Theorem, Yi Lin

Yi Lin

In this article, we initiate a geometric measure theoretic approach to symplectic Hodge theory. In particular, we apply one of the central results in geometric measure theory, the Federer-Fleming deformation theorem, together with the cohomology theory of normal cur- rents on a differential manifold, to establish a fundamental property on symplectic Harmonic forms. We show that on a closed symplectic manifold, every real primitive cohomology class of positive degrees admits a symplectic Harmonic representative not supported on the entire mani- fold. As an application, we use it to investigate the support of symplectic Harmonic representatives of Thom classes, and give …

Discrete Fourier Restriction Associated With Kdv Equations, Yi Hu, Xiaochun Li

Yi Hu

In this paper, we consider a discrete restriction associated with KdV equations. Some new Strichartz estimates are obtained. We also establish the local well-posedness for the periodic generalized Korteweg-de Vries equation with nonlinear term $F(u)\p_x u$ provided F∈C5 and the initial data ϕ∈Hs with s>1/2.

Single-Step Electrochemical Functionalization Of Double-Walled Carbon Nanotube (Dwcnt) Membranes And The Demonstration Of Ionic Rectification, Xin Zhan, Ji Wu, Zhiqiang Chen, Bruce J. Hinds

Ji Wu

Carbon nanotube (CNT) membranes allow the mimicking of natural ion channels for applications in drug delivery and chemical separation. Double-walled carbon nanotube membranes were simply functionalized with dye in a single step instead of the previous two-step functionalization. Non-faradic electrochemical impedance spectra indicated that the functionalized gatekeeper by single-step modification can be actuated to mimic the protein channel under bias. This functional chemistry was proven by a highly efficient ion rectification, wherein the highest experimental rectification factor of ferricyanide was up to 14.4. One-step functionalization by electrooxidation of amine provides a simple and promising functionalization chemistry for the application of …

Invertibility Of Submatrices Of Pascal's Matrix And Birkhoff Interpolation, Scott N. Kersey

Scott N. Kersey

The infinite (upper triangular) Pascal matrix is T = [ ji] for 0 ≤ i, j. It is easy to see that that submatrix T (0 : n, 0 : n) is triangular with determinant 1, hence in particular, it is invertible. But what about other submatrices T (r, x) for selections r = [r0, . . . , rd] and x = [x0, . . . , xd] of the rows and columns of T ? The goal of this paper is provide a necessary and sufficient condition for invertibility based on a connection to polynomial interpolation. In particular, …

Liftings And Quasi-Liftings Of Dg Modules, Saeed Nasseh, Sean Sather-Wagstaff

Saeed Nasseh

We prove lifting results for DG modules that are akin to Auslander, Ding, and Solbergʼs famous lifting results for modules.

A Note On Symmetry In The Vanishing Of Ext, Saeed Nasseh, Massoud Tousi

Saeed Nasseh

In [1] Avramov and Buchweitz proved that for finitely generated modules M and N over a complete intersection local ring R, ExtiR(M,N)=0 for all i>>0 implies ExtiR(N, M)=0 for all i>>0. In this note we give some generalizations of this result. Indeed we prove the above mentioned result when (1) M is finitely generated and N is arbitrary, (2) M is arbitrary and N has finite length and (3) M is complete and N is finitely generated.

Dual Bases Functions In Subspaces, Scott N. Kersey

Scott N. Kersey

In this paper we study dual bases functions in subspaces. These are bases which are dual to functionals on larger linear space. Our goal is construct and derive properties of certain bases obtained from the construction, with primary focus on polynomial spaces in B-form. When they exist, our bases are always affine (not convex), and we define a symmetric configuration that converges to Lagrange polynomial bases. Because of affineness of our bases, we are able to derive certain approximation theoretic results involving quasi-interpolation and a Bernstein-type operator. In a broad sense, it is the aim of this paper to present …

Variational Multiscale Models For Charge Transport, Guo-Wei Wei, Qiong Zheng, Zhan Chen, Kelin Xia

Zhan Chen

This work presents a few variational multiscale models for charge transport in complex physical, chemical, and biological systems and engineering devices, such as fuel cells, solar cells, battery cells, nanofluidics, transistors, and ion channels. An essential ingredient of the present models, introduced in an earlier paper [Bull. Math. Biol., 72 (2010), pp. 1562--1622], is the use of the differential geometry theory of surfaces as a natural means to geometrically separate the macroscopic domain from the microscopic domain, while dynamically coupling discrete and continuum descriptions. Our main strategy is to construct the total energy functional of a charge transport system to …

Balance With Unbounded Complexes, Edgar E. Enochs, Sergio Estrada, Alina Iacob

Alina Iacob

Given a double complex X there are spectral sequences with the E2 terms being either HI (HII(X)) or HII(HI(X)). But if HI(X)=HII(X)=0, then both spectral sequences have all their terms 0. This can happen even though there is nonzero (co)homology of interest associated withX. This is frequently the case when dealing with Tate (co)homology. So, in this situation the spectral sequences may not give any information about the (co)homology of interest. In this article, we give a different way of …

Factorizations Of Local Homomorphisms, Saeed Nasseh

Saeed Nasseh

Let f:R→S be a homomorphism of commutative rings. Many techniques for studying R-modules focus on finitely generated modules. As a consequence, these techniques are not well-suited for studying S as an R-module. However, a technique of Avramov, Foxby, and Herzog sometimes allows one to replace the original homomorphism with a surjective one R′→S where R and R′ are tightly connected. In this setting, S is a cyclic R′-module, so one can study it using finitely generated techniques. I will give a general introduction to such factorizations, followed by a discussion of …

Beta Interferon-Mediated Activation Of Signal Transducer And Activator Of Transcription Protein 1 Interferes With Rickettsia Conorii Replication In Human Endothelial Cells, Punsiri M. Colonne, Marina Eremeeva, Sanjeev K. Sahni

Marina E. Eremeeva

Infection of the endothelial cell lining of blood vessels with Rickettsia conorii, the causative agent of Mediterranean spotted fever, results in endothelial activation. We investigated the effects of R. conorii infection on the status of the Janus kinase (JAK)-signal transducer and activator of transcription protein (STAT) signaling pathway in human microvascular endothelial cells (HMECs), the most relevant host cell type, in light of rickettsial tropism for microvascular endothelium in vivo. R. conoriiinfection induced phosphorylation of STAT1 on tyrosine 701 and serine 727 at 24, 48, and 72 h postinfection in HMECs. Employing transcription profile analysis and neutralizing …

Rickettsia Felis In Cat Fleas, Ctenocephalides Felis Parasitizing Opossums, San Bernardino County, California, Kyle F. Abramowicz, J. W. Wekesa, C. N. Nwadike, Maria L. Zambrano, Sandor E. Karpathy, D. Cecil, J. Burns, Renjie Hu, Marina Eremeeva

Marina E. Eremeeva

Los Angeles and Orange Counties are known endemic areas for murine typhus in California; however, no recent reports of flea-borne rickettsioses are known from adjacent San Bernardino County. Sixty-five opossums (Didelphis virginiana) were trapped in the suburban residential and industrial zones of the southwestern part of San Bernardino County in 2007. Sixty out of 65 opossums were infested with fleas, primarily cat fleas, Ctenocephalides felis (Bouché, 1835). The flea minimum infection rate with Rickettsia felis was 13.3% in pooled samples and the prevalence was 23.7% in single fleas, with two gltA genotypes detected. In spite of historic …

Vatdt: Visual Assessment Of Cluster Tendency Using Diagonal Tracing, Yingkang Hu

Yingkang Hu

The visual assessment of tendency (VAT) technique, for visually finding the number of meaningful clusters in data, developed by J. C. Bezdek, R. J. Hathaway and J. M. Huband, is very useful, but there is room for improvements. Instead of displaying the ordered dissimilarity matrix (ODM) as a 2D gray-level image for human interpretation as is done by VAT, we trace the changes in dissimilarities along the diagonal of the ODM. This changes the 2D data structure (matrices) into 1D arrays, displayed as what we call the tendency curves, which enables one to concentrate only on one variable, namely the …

Log-Concavity And Symplectic Flows, Yi Lin, Alvaro Pelayo

Yi Lin

Let M be a compact, connected symplectic 2n-dimensional manifold on which an(n-2)-dimensional torus T acts effectively and Hamiltonianly. Under the assumption that there is an effective complementary 2-torus acting on M with symplectic orbits, we show that the Duistermaat-Heckman measure of the T-action is log-concave. This verifies the logarithmic concavity conjecture for a class of inequivalent T-actions. Then we use this conjecture to prove the following: if there is an effective symplectic action of an (n-2)-dimensional torus T on a compact, connected symplectic 2n-dimensional manifold that admits an effective complementary symplectic action of a 2-torus with symplectic orbits, then the …

Individual Effort Estimation: Not Just For Teams Anymore, Russell F. Thackston, David Umphress

Russell F. Thackston

Truly viable software—mobile device apps, services, components—are being written by one-person teams, thus demonstrating the need for engineering discipline at the individual level. This article examines effort estimation for individuals and proposes a lightweight approach based on a synthesis of a number of concepts derived from existing team estimation practices.

Differential Geometry Based Solvation Model Ii: Lagrangian Formulation, Zhan Chen, Nathan A. Baker, Guo-Wei Wei

Zhan Chen

Solvation is an elementary process in nature and is of paramount importance to more sophisticated chemical, biological and biomolecular processes. The understanding of solvation is an essential prerequisite for the quantitative description and analysis of biomolecular systems. This work presents a Lagrangian formulation of our differential geometry based solvation models. The Lagrangian representation of biomolecular surfaces has a few utilities/advantages. First, it provides an essential basis for biomolecular visualization, surface electrostatic potential map and visual perception of biomolecules. Additionally, it is consistent with the conventional setting of implicit solvent theories and thus, many existing theoretical algorithms and computational software packages …

Eschar-Associated Spotted Fever Rickettsiosis, Bahia, Brazil, Nanci Silva, Marina Eremeeva, Tatiana Rozental, Guilherme S. Ribeiro, Christopher D. Paddock, Eduardo Antonio G. Ramos, Alexsandra R.M. Favacho, Mitermayer G. Reis, Gregory A. Dasch,, Elba R.S. De Lemos, Albert I. Ko

Marina E. Eremeeva

In Brazil, Brazilian spotted fever was once considered the only tick-borne rickettsial disease. We report eschar-associated rickettsial disease that occurred after a tick bite. The etiologic agent is most related to Rickettsia parkeri, R. africae, and R. sibirica and probably widely distributed from São Paulo to Bahia in the Atlantic Forest.

Emergence Of A Novel Human Ehrlichia-Muris Like Organism In North America – Wisconsin And Minnesota, Bobbi S. Pritt, Lynne M. Sloan, Diep K. Hoang-Johnson, Ulrike G. Munderloh, Susan M. Paskewitz, Kristina M. Mcelroy, Jevon D. Mcfadden, Matthew J. Binnicker, David F. Neitzel, Gongping Liu, William L. Nicholson, Curtis M. Nelson, Joni J. Franson, Scott A. Martin, Scott A. Cunningham, Christopher R. Steward, Kay Bogumill, Mary E. Bjorgaard, Jeffrey P. Davis, Jennifer H. Mcquiston, David M. Warshauer, Mark P. Wilhelm, Robin Patel, Vipul A. Trivedi, Marina Eremeeva

Marina E. Eremeeva

Background: Ehrlichiosis is a clinically important, emerging zoonosis. Only Ehrlichia chaffeensis and E. ewingii have been thought to cause ehrlichiosis in humans in the United States. Patients with suspected ehrlichiosis routinely undergo testing to ensure proper diagnosis and to ascertain the cause.

Methods: We used molecular methods, culturing, and serologic testing to diagnose and ascertain the cause of cases of ehrlichiosis.

Results: On testing, four cases of ehrlichiosis in Minnesota or Wisconsin were found not to be from E. chaffeensis or E. ewingii and instead to be caused by a newly discovered ehrlichia species.

All patients had fever, …

Generation Of Isolated Attosecond Extreme Ultraviolet Pulses Employing Nanoplasmonic Field Enhancement: Optimization Of Coupled Ellipsoids, S. L. Stebbings, F. Süßmann, Y-Y Yang, A. Scrinzi, Maxim Durach, Anastasia Rusina, Mark I. Stockman, Matthias F. Kling

Anastasia Rusina

The production of extreme ultraviolet (XUV) radiation via nanoplasmonic field-enhanced high-harmonic generation (HHG) in gold nanostructures at MHz repetition rates is investigated theoretically in this paper. Analytical and numerical calculations are employed and compared in order to determine the plasmonic fields in gold ellipsoidal nanoparticles. The comparison indicates that numerical calculations can accurately predict the field enhancement and plasmonic decay, but may encounter difficulties when attempting to predict the oscillatory behavior of the plasmonic field. Numerical calculations for coupled symmetric and asymmetric ellipsoids for different carrier-envelope phases (CEPs) of the driving laser field are combined with time-dependent Schrödinger equation simulations …

Generation Of Isolated Attosecond Extreme Ultraviolet Pulses: Optimization Of Coupled Ellipsoids, Sarah L. Stebbings, F. Süßmann, Y-Y Yang, A. Scrinzi, Maxim Durach, Anastasia Rusina, Mark I. Stockman, Matthias F. Kling

Maxim Durach

The production of extreme ultraviolet (XUV) radiation via nanoplasmonic field-enhanced high-harmonic generation (HHG) in gold nanostructures at MHz repetition rates is investigated theoretically in this paper. Analytical and numerical calculations are employed and compared in order to determine the plasmonic fields in gold ellipsoidal nanoparticles. The comparison indicates that numerical calculations can accurately predict the field enhancement and plasmonic decay, but may encounter difficulties when attempting to predict the oscillatory behavior of the plasmonic field. Numerical calculations for coupled symmetric and asymmetric ellipsoids for different carrier-envelope phases (CEPs) of the driving laser field are combined with time-dependent Schrödinger equation simulations …