Physical Sciences and Mathematics Commons^™

Bootstrap Enhanced N-Dimensional Deformation Of Space With Acoustic Resonance Spectroscopy, David John Link

University of Kentucky Doctoral Dissertations

Acoustic methods can often be used with limited or no sample preparations making them ideal for rapid process analytical technologies (PATs). This dissertation focuses on the possible use of acoustic resonance spectroscopy as a PAT in the pharmaceutical industry. Current good manufacturing processes (cGMP) need new technologies that have the ability to perform quality assurance testing on all products. ARS is a rapid and non destructive method that has been used to perform qualitative studies but has a major drawback when it comes to quantitative studies. Acoustic methods create highly non linear correlations which usually results in high level computations …

Analysis Of Security Measures For Sequences, Ramakanth Kavuluru

University of Kentucky Doctoral Dissertations

Stream ciphers are private key cryptosystems used for security in communication and data transmission systems. Because they are used to encrypt streams of data, it is necessary for stream ciphers to use primitives that are easy to implement and fast to operate. LFSRs and the recently invented FCSRs are two such primitives, which give rise to certain security measures for the cryptographic strength of sequences, which we refer to as complexity measures henceforth following the convention. The linear (resp. N-adic) complexity of a sequence is the length of the shortest LFSR (resp. FCSR) that can generate the sequence. Due …

A Protocol Suite For Wireless Personal Area Networks, Karl E. Persson

University of Kentucky Doctoral Dissertations

A Wireless Personal Area Network (WPAN) is an ad hoc network that consists of devices that surround an individual or an object. Bluetooth^® technology is especially suitable for formation of WPANs due to the pervasiveness of devices with Bluetooth^® chipsets, its operation in the unlicensed Industrial, Scientific, Medical (ISM) frequency band, and its interference resilience. Bluetooth^® technology has great potential to become the de facto standard for communication between heterogeneous devices in WPANs.

The piconet, which is the basic Bluetooth^® networking unit, utilizes a Master/Slave (MS) configuration that permits only a single master and up to …

Persistent Currents And Quantum Critical Phenomena In Mesoscopic Physics, Oleksandr Zelyak

University of Kentucky Doctoral Dissertations

In this thesis, we study persistent currents and quantum critical phenomena in the systems of mesoscopic physics. As an introduction in Chapter 1 we familiarize the reader with the area of mesoscopic physics. We explain how mesoscopic systems are different from quantum systems of single atoms and molecules and bulk systems with an Avogadro number of elements. We also describe some important mesoscopic phenomena.

One of the mathematical tools that we extensively use in our studies is Random Matrix Theorty. This theory is not a part of standard physics courses and for educational purposes we provide the basics of Random …

Pattern Recognition Integrated Sensing Methodologies (Prisms) In Pharmaceutical Process Validation, Remote Sensing And Astrobiology, Thaddaeus S. Hannel

University of Kentucky Doctoral Dissertations

Modern analytical instrumentation is capable of creating enormous and complex volumes of data. Analysis of large data volumes are complicated by lengthy analysis time and high computational demand. Incorporating real-time analysis methods that are computationally efficient are desirable for modern analytical methods to be fully utilized. The use of modern instrumentation in on-line pharmaceutical process validation, remote sensing, and astrobiology applications requires real-time analysis methods that are computationally efficient.

Integrated sensing and processing (ISP) is a method for minimizing the data burden and sensing time of a system. ISP is accomplished through implementation of chemometric calculations in the physics of …

Eigenvalue Inequalities For A Family Of Spherically Symmetric Riemannian Manifolds, Julie Miker

University of Kentucky Doctoral Dissertations

This thesis considers two isoperimetric inequalities for the eigenvalues of the Laplacian on a family of spherically symmetric Riemannian manifolds. The Payne-Pólya-Weinberger Conjecture (PPW) states that for a bounded domain Ω in Euclidean space Rⁿ, the ratio λ1(Ω)/λ0(Ω) of the first two eigenvalues of the Dirichlet Laplacian is bounded by the corresponding eigenvalue ratio for the Dirichlet Laplacian on the ball B_Ωof equal volume. The Szegö-Weinberger inequality states that for a bounded domain Ω in Euclidean space Rⁿ, the first nonzero eigenvalue of the Neumann Laplacian μ1(Ω) is maximized on the ball B_{Ω …}

Imide-Functionalized Conjugated Polymers: Synthesis, Structure-Property And Device Studies, Xugang Guo

University of Kentucky Doctoral Dissertations

Organic semiconductors are widely studied as potential active components for consumer electronics due largely to their easily tuned properties and the promise of lower-cost solution-based processing technology. Imide-functionalized organic small molecule compounds have been one of the more important and studied organic semiconductors. However, very few imide-functionalized conjugated polymers have been reported in the literature. The body of this dissertation focuses on the synthesis, structure-property and device studies of imide-functionalized conjugated polymers. Reasons for choosing arylene imides as polymer building blocks include: a) they impart low-lying LUMOs to polymers, allowing band-gap engineering through choice of comonomers with variable electron-donating ability; …

Long-Period Ground Motions In The Upper Mississippi Embayment From Finite-Fault, Finite-Difference Simulations, Kenneth A. Macpherson

University of Kentucky Doctoral Dissertations

A 3D velocity model and 3D wave propagation code have been employed to simulate long-period ground motions in the upper Mississippi embayment. This region is exposed to seismic hazard in the form of large earthquakes in the New Madrid seismic zone and observational data are sparse, making simulation a valuable tool for predicting the effects of large events. These simulations were undertaken in order to estimate ground-motion characteristics and to investigate the influence of the 3D embayment structure and finite-fault mechanics. There are three primary fault zones in the New Madrid seismic zone, each of which was likely associated with …

Specific Heat Measurements On Strongly Correlated Electron Systems, Vijayalakshmi Varadarajan

University of Kentucky Doctoral Dissertations

Studies on strongly correlated electron systems over decades have allowed physicists to discover unusual properties such as spin density waves, ferromagnetic and antiferromagnetic states with unusual ordering of spins and orbitals, and Mott insulating states, to name a few.

In this thesis, the focus will be on the specific heat property of these materials exhibiting novel electronic ground states in the presence and absence of a field. The purpose of these measurements is to characterize the phase transitions into these states and the low energy excitations in these states. From measurements at the phase transitions, one can learn about the …

The Generalized Burnside And Representation Rings, Eric B. Kahn

University of Kentucky Doctoral Dissertations

Making use of linear and homological algebra techniques we study the linearization map between the generalized Burnside and rational representation rings of a group G. For groups G and H, the generalized Burnside ring is the Grothendieck construction of the semiring of G × H-sets with a free H-action. The generalized representation ring is the Grothendieck construction of the semiring of rational G×H-modules that are free as rational H-modules. The canonical map between these two rings mapping the isomorphism class of a G-set X to the class of its permutation module …

Investigations Of S-Glutathionylation Of Brain Proteins In The Progression Of Alzheimer's Disease And Of A Potential Glutatione Mimetic As A Treatment Of Alzheimer's Disease, Shelley Faye Newman

University of Kentucky Doctoral Dissertations

Alzheimer’s disease (AD) is a neurodegenerative disorder characterized by neurofibrillary tangles, senile plaques and loss of synapses. Many studies support the notion that oxidative stress plays an important role in AD pathogenesis. Previous studies from our laboratory employed redox proteomics to identify oxidatively modified proteins in the AD inferior parietal lobule (IPL). The proteins were consistent with AD pathology and have been central to further investigations of the disease. The present study was focused on the identification of specific targets of protein S-glutathionylation in AD, early AD (EAD), and mild cognative impairment (MCI) using a redox proteomics approach. In AD …

Paleogeographic Reconstructuion Of The St. Lawrence Promontory, Western Newfoundland, John Stefan Allen

University of Kentucky Doctoral Dissertations

Neoproterozoic-Early Cambrian continental rifting related to the breakup of the supercontinent Rodinia framed the continental margin of eastern Laurentia and the departing cratons around the opening Iapetus Ocean. The result of continental extension was the production of a zig-zag set of promontories and embayments on the eastern Laurentian margin defined by northeast-trending rift segments offset by northwesttrending transform faults.

The St. Lawrence promontory defines the Laurentian margin in western Newfoundland. There, Neoproterozoic-Carboniferous clastic, volcanic, and carbonate successions record protracted continental rifting and passive-margin thermal subsidence followed by destruction of the margin during the early, middle, and late Paleozoic Appalachian orogenic …

Statistical Methods In Microarray Data Analysis, Liping Huang

University of Kentucky Doctoral Dissertations

This dissertation includes three topics. First topic: Regularized estimation in the AFT model with high dimensional covariates. Second topic: A novel application of quantile regression for identification of biomarkers exemplified by equine cartilage microarray data. Third topic: Normalization and analysis of cDNA microarray using linear contrasts.

Aspects Of The Geometry Of Metrical Connections, Matthew J. Wells

University of Kentucky Doctoral Dissertations

Differential geometry is about space (a manifold) and a geometric structure on that space. In Riemann’s lecture (see [17]), he stated that “Thus arises the problem, to discover the matters of fact from which the measure-relations of space may be determined...”. It is key then to understand how manifolds differ from one another geometrically. The results of this dissertation concern how the geometry of a manifold changes when we alter metrical connections. We investigate how diverse geodesics are in different metrical connections. From this, we investigate a new class of metrical connections which are dependent on the class of smooth …

Satisfaction Assessment Of Textual Software Engineering Artifacts, Elizabeth Ashlee Holbrook

University of Kentucky Doctoral Dissertations

A large number of software projects exist and will continue to be developed that have textual requirements and textual design elements where the design elements should fully satisfy the requirements. Current techniques to assess the satisfaction of requirements by corresponding design elements are largely manual processes that lack formal criteria and standard practices. Software projects that require satisfaction assessment are often very large systems containing several hundred requirements and design elements. Often these projects are within a high assurance project domain, where human lives and millions of dollars of funding are at stake. Manual satisfaction assessment is expensive in terms …

Alterations Of Zinc Transporters In Alzheimer's Disease, Ganna Lyubartseva

University of Kentucky Doctoral Dissertations

Alzheimer’s disease (AD), one of the major causes of disability and mortality in Western societies, is a progressive age-related neurodegenerative disorder. Increasing evidence suggests the etiology of AD may involve disruptions of zinc (Zn) homeostasis. We hypothesize that disruption of Zn homeostasis leads to alterations of Zn transporter (ZnT) proteins, resulting in increased production of neurotoxic amyloid beta (Aβ) peptide in AD brain. To address this hypothesis we carried out the following studies.

1. We characterized alterations of ZnT-1, ZnT-4 and ZnT-6 in the brain of preclinical AD (PCAD) subjects, who show no overt clinical manifestations of AD but demonstrate …

Rees Products Of Posets And Inequalities, Tricia Muldoon Brown

University of Kentucky Doctoral Dissertations

In this dissertation we will look at properties of two different posets from different perspectives. The first poset is the Rees product of the face lattice of the n-cube with the chain. Specifically we study the Möbius function of this poset. Our proof techniques include straightforward enumeration and a bijection between a set of labeled augmented skew diagrams and barred signed permutations which label the maximal chains of this poset. Because the Rees product of this poset is Cohen-Macaulay, we find a basis for the top homology group and a representation of the top homology group over the symmetric …

Study Of Qcd Critical Point Using Canonical Ensemble Method, Anyi Li

University of Kentucky Doctoral Dissertations

QCD at non-zero baryon density is expected to have a critical point where the finite temperature crossover at zero density turns into a first order phase transition. To identify this point, we use the canonical ensemble approach to scan the temperaturedensity plane through lattice QCD simulations with Wilson-type fermions. In order to scan a wide range of the phase diagram, we develop an algorithm, the ”winding number expansion method” (WNEM) to fix the numerical instability problem due to the discrete Fourier transform for calculating the projected determinant. For a given temperature, we measure the chemical potential as a function of …

Iterative Methods For Computing Eigenvalues And Exponentials Of Large Matrices, Ping Zhang

University of Kentucky Doctoral Dissertations

In this dissertation, we study iterative methods for computing eigenvalues and exponentials of large matrices. These types of computational problems arise in a large number of applications, including mathematical models in economics, physical and biological processes. Although numerical methods for computing eigenvalues and matrix exponentials have been well studied in the literature, there is a lack of analysis in inexact iterative methods for eigenvalue computation and certain variants of the Krylov subspace methods for approximating the matrix exponentials. In this work, we proposed an inexact inverse subspace iteration method that generalizes the inexact inverse iteration for computing multiple and clustered …

Direct Products And The Intersection Map Of Certain Classes Of Finite Groups, Julia Chifman

University of Kentucky Doctoral Dissertations

The main goal of this work is to examine classes of finite groups in which normality, permutability and Sylow-permutability are transitive relations. These classes of groups are called T , PT and PST , respectively. The main focus is on direct products of T , PT and PST groups and the behavior of a collection of cyclic normal, permutable and Sylow-permutable subgroups under the intersection map. In general, a direct product of finitely many groups from one of these classes does not belong to the same class, unless the orders of the direct factors are relatively prime. Examples suggest that …