Although genome-wide association studies (GWAS) and other high-throughput initiatives have led to an information explosion in human genetics and genetic epidemiology, the mapping from genotype to phenotype remains challenging as most of the...
Numerical modeling of the global heliosphere provides key insights into the physics of the outer heliosphere. The solar wind data utilized by these models impacts their accuracy and should be as close as possible to the actual solar wind. Ideally,...
This thesis contains some results concerning groupoid dynamical systems and crossed products. We introduce the notion of a proper groupoid dynamical system and of its generalized fixed point algebra. We show that our notion of proper groupoid...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
Infections by pathogenenic microbes are an increasing problem due to a lack of universal vaccines and growing resistance to current antibiotics. The constant battle for researchers in the fight against pathogens is to design new and improved drugs...
Manifolds (Mathematics) Geodesics (Mathematics) Space and time.
We investigate weak and strong refocusing of light rays in a space-time and related concepts. A strongly causal space-time ( X^ n +1 , g ) is emphstrongly refocusing at x ∈ X if there is a point y ≠ x such that all null-geodesics through y pass...
This thesis constitutes the first steps in the author's program to investigate the question of when a homotopy of 2-cocycles ω = {ω[subscript t]}[subscript t∊[0,1]] on a locally compact Hausdorff groupoid Ɠ induces an isomorphism of the...
Stark-geometry photorefractive multiple quantum well (PR-MQW) spatial light modulators (SLMs) show promise for several optoelectronic applications such as high-speed image correlation and real-time 3-D holographic imaging. Their performance is...
In the Firefighter Problem, a fire starts at a vertex of a graph, and in discrete time units, it spreads from burned vertices to their neighbors, unless they are protected by one of the f firefighters that are deployed every turn. Once burned or...
This research has established feasibility of surface temperature characterization using ruby fluorescence. Study was performed in pin-on-disk geometry, with balls made of different plastics sliding against the sapphire disk. Fluorescence signal was...
In this study, I examined the interactive effects of prey and physical habitat on foraging, habitat selection, growth, and survival of age-0 Atlantic salmon, Salmo salar. I combined field observations of salmon behavior, surveys of habitat and prey...
Riemannian manifolds. Singularities (Mathematics). Laplacian operator. Spectral theory (Mathematics). Riemann surfaces. Curves on surfaces. Geometry
Historically, inverse spectral theory has been concerned with the relationship between the geometry and the spectrum of compact Riemannian manifolds, where spectrum means the eigenvalue spectrum of the Laplace operator as it acts on smooth...
Near infrared reflectance spectroscopy. Breast -- Cancer -- Tomography. Breast -- Cancer -- Imaging. Breast -- Cancer -- Diagnosis. Image reconstruction. Diagnostic imaging. Image Processing
We have a limited understanding of how an opinion is originated, how an opinion and information supporting and explaining it gets conveyed, and how the communicated opinion is perceived and processed by others. One direction of current research...
We study the bijective combinatorics of reduced words. These are fundamental objects in the study of Coxeter groups. We restrict our focus to reduced words of permutations and signed permutations. Our results can all be situated within the context...
Liver disease of different etiologies confers significant morbidity and mortality and hence it constitutes a major health concern worldwide. Stemming from a range of causes, such as viral, drug-induced, alcoholic, or autoimmune, the rate of...
Robustness to genetic perturbations is a fundamental property of all living things. The genetic code is degenerate, RNA secondary structure is robust to sequence changes, and protein structure is robust to amino acid substitutions. Complex systems...
Through a series of case studies, signal processing and statistical tools, analyses of dynamic sea ice processes of drift, deformation, and ice pack expansion and decay are investigated for the Weddell Sea region during 1992. Cavitating fluid (CAV)...
Coherent states. Quantum field theory. Nonlinear theories.
In this thesis we study the properties of time-dependent, nontopological configurations and their effect on the macroscopic properties of a system described by a nonlinear field theory. These structures seem to be ubiquitous in relativistic field...
Many alkaloids of biological importance have the 11H-pyrido (4,3,2-mn) acridine ring structure such as cystodytin and amphimedine. It would be desirable to find an effective way to synthesize a wide variety of these compounds using a single...
In this thesis, we study the dynamics of magnetic flows on compact nilmanifolds. Magnetic flows are generalizations of geodesic flows. They model the motion of a particle of unit mass and unit charge in a smooth manifold M in the presence of a...
'Orthogonal modular forms are algebraic modular forms arising from lattices in quadratic spaces. In this thesis, we define orthogonal modular forms, establish their basic properties, and then apply them to a case of ternary quadratic spaces to...
LP-BM5 murine retroviral infection induces murine AIDS (MAIDS), and is characterized by profound and broad immunosuppression of T- and B-cell responses. Adaptive immune response to LP-BM5 infection, including the pathogenic role of CD4+ T-cells and...
Protein secretion is executed by the secretory pathway, which involves the delivery of membrane and soluble secretory proteins in vesicle intermediates that capture newly-synthesized proteins assembled in the endoplasmic reticulum (ER) and then...
Information resources management -- Mathematical models. ; Database management -- Methodology. ; Change. ; World Wide Web.
Many modern information management tasks consist of an observer that must maintain current knowledge of a collection of changing information. The goal of this observer is to maintain acceptably accurate state estimates given limited observation...
Magnetic resonance imaging. ; Nuclear magnetic resonance.
Diffusion-weighted magnetic resonance imaging (MRI) provides unique contrast reflecting the translational motion of water in its microscopic environment. This imaging modality has been shown to highlight infarcted regions within minutes after an...