In this thesis, we consider several problems relating to cyclic subgroups of the group [mathematical equation]. Each element of [mathematical equation] has a unique representative in one of the two intervals [mathematical equation] and...
In utero exposure to maternal malnutrition is associated with increase offspring susceptibility to cardiometabolic and neuropsychiatric disease. Epigenetic mechanisms mediate, at least in part, fetal adaptations to adverse in utero environments...
Magnetoencephalography -- Technique.; Magnetic susceptibility.
The measurement of human brain function is the goal of many noninvasive medical imaging modalities. Two sources of physiological contrast are commonly targeted to achieve this goal. The most direct approach to measuring neuronal activity is with...
We study motion planning problems, finding trajectories that connect two configurations of a system, from two different perspectives: optimality and survivability. For the problem of finding optimal trajectories, we provide a model in which the...
Boundary integral methods have long been used to solve boundary value problems for elliptic partial differential equations with piecewise constant coefficients, since they have several numerical advantages over conventional volume discretization....
In this thesis we look at several problems that lie in the intersection between combinatorial and multiplicative number theory. A common theme of many of these problems are estimates for and properties of the smooth numbers, those integers not...
Operating systems and low-level applications are usually written in languages like C and assembly, which provide access to low-level abstractions. These languages have unsafe type systems that allow many bugs to slip by programmers. For example, in...
Chapter II of this thesis describes the synthesis of a number of sulfobetaines and bissulfobetaines to be evaluated as inhibitors of squalene synthase (SS) on the basis of the idea proposed by Shechter that their zwitterionic structure would be...
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
Strong evidence exists showing that stellar evolution models are unable to accurately predict the fundamental properties of low-mass stars. Observations of low-mass stars in detached eclipsing binaries (DEBs) indicate that stellar models...
In nematodes an alternative third larval stage, often called the dauer stage, allows the animals to weather periods of low food availability (if free living) or to disperse (if parasitic). Recently, studies of mutations in the nematode...
Digital cinematography. ; Cinematography -- Lighting -- Data processing -- Evaluation. ; Cinematography -- Special effects -- Data processing -- Evaluation. ; User interfaces (Computer systems) -- Evaluation.
We define appearance design as the creation and editing of scene content such as lighting and surface materials in computer graphics. The appearance design process takes a significant amount of time relative to other production tasks and poses...
In this thesis, the dynamics of long-lived, time-dependent, coherent field configurations, known as oscillons, are investigated in the presence of an expanding background. In a (1+1)-dimensional expanding spacetime, scalar-field oscillon lifetimes...
The Border Gateway Protocol (BGP) that manages inter-domain routing on the Internet lacks security. Protective measures using public key cryptography introduce complexities and costs. To support authentication and other security functionality in...
As the ubiquitous complexity of common disease has become apparent, so has the need for novel tools and strategies that can accommodate complex patterns of association. In particular, the analytic challenges posed by the phenomena known as...
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...
Large scale systems -- Mathematical models. Digital computer simulation. Parallel processing (Electronic computers). Computer algorithms.
Modeling real-world large-scale systems is inherently challenging due to their size and complexity. Detailed simulation of large-scale models requires tremendous amounts of computing power and memory space. Parallel discrete-event simulation...
We begin with a presentation of the current state of Poljak and Turzik's conjecture that a matroid is sticky if and only if it is modular as described in [5] and [1]. We show that all graphic, cographic, and regular matroids must satisfy the...
Plasma instabilities. ; Ionospheric electron density. ; Ionosphere.
As a result of an unstable plasma stratification the nighttime equatorial ionosphere is subject to a variety of plasma instabilities known commonly as equatorial spread-F. In its fully developed form spread-F consists of large wedges of depleted...
Antennas (Electronics); ; Thermotherapy. ; Cancer -- Treatment.
Engineers have devised many techniques by which to raise the temperature of a cancer tumor 8 degrees above body temperature. Such treatment is called hyperthermia; experiments in vitro suggest it may be an effective adjunct to standard radition...
Robot hands -- Design and construction. Robots -- Motion -- Mathematical models. Manipulators (Mechanism) -- Design and construction. Textile fabrics. Knots and splices. String.
Flexible objects are a challenge to manipulate. Their motions are hard to predict, and the high number of degrees of freedom makes sensing, control, and planning difficult. Additionally, they have more complex friction and contact issues than rigid...
Glutamic acid -- Receptors. Ion channels -- Molecular aspects. Ligand binding (Biochemistry).
Medical Term: Glutamates.
AMPA receptors are glutamate-gated ion channels that mediate most of the excitatory synaptic signals in the central nervous system. They form tetrameric assemblies that are combinations of the subunits GluR1-4, each of which contains a...
Many intracellular transport events are mediated by vesicles that bud from donor membranes and then fuse with acceptor membranes. The transport of secretory proteins between the ER and Golgi compartments of the yeast Saccharomyces cerevisiae has...