This thesis contains material relating to two separate subjects. The first section determines when the C*-algebra affiliated to a directed graph has continuous trace. We use groupoid methods and the focus is on producing conditions on a graph that...
The demand for novel molecularly targeted drugs will continue to rise as we make progress toward personalizing cancer treatments to the molecular signatures of individual tumors. While the collection and analysis of genomic data has become routine,...
We associate, to each positive integer n , a Cayley graph to the group PSL(2.Ζ[subscript n]). We then consider the isoperimetric numbers of these graphs. In chapter three we determine upper bounds for the isoperimetric number by a detailed...
Humans have a seemingly unique capacity to reflect upon information about the self to form evaluative attitudes that influence their quality of life and predict mental health outcomes. While psychologists have devoted decades of research to the...
I. (3 + 2) Cycloaddition Reactions of Oxyallyl Cationic Intermediates with Indoles Cyclopenta- and cyclohexa[b]indolines are ubiquitous molecular skeletons in natural products and pharmaceutical agents. We have developed (3 + 2) cycloaddition...
Electronic data processing -- Distributed processing. ; Computer network architectures. ; Programming languages (Electronic computers) -- Semantics. ; Database management.
I tackle the problem of naming and sharing resources across administrative boundaries. Conventional systems manifest the hierarchy of typical administrative structure in the structure of their own mechanism. While natural for communication that...
DC-to-DC converters -- Design and construction. Electric inductors -- Design and construction. Thin film devices -- Design and construction. Microprocessors -- Power supply. Microfabrication. Transients (Dynamics).
In large and complex networks such as the Internet and road networks, traffic routing is typically decentralized. Users in the network choose their routes independently to minimize their own delay, leading to complicated and nonintuitive outcomes...
The furanosteroids are an important class of natural products that have been found to effectively inhibit various biologically important enzymes. These enzymes include the phosphoinositide-3-kinase (PI3K) family and the polo-like kinase (PLK1)...
Proteins -- Structure -- Data processing. Proteins -- Analysis -- Data processing. Nuclear magnetic resonance spectroscopy. Oligomers -- Analysis -- Data processing.
Symmetric homo-oligomers (protein complexes with similar subunits arranged symmetrically) play pivotal roles in complex biological processes such as ion transport and cellular regulation. Structure determination of these complexes is necessary in...
This thesis explores practical and theoretical aspects of several privacy-providing technologies, including tools for anonymous web-browsing, verifiable electronic voting schemes, and private information retrieval from databases. State-of-art...
In the past decade, the use of ordinal patterns in the analysis of time series and dynamical systems has become an important tool. Ordinal patterns (otherwise known as a permutation patterns) are found in time series by taking n data points at...
We start by introducing avoidance coupling of Markov chains, with an overview of existing results. We then introduce and motivate a new notion, uniform coupling. We show that the only Markovian avoidance coupling on a cycle is of this type, and...
Mitotic apparatuses from sea urchin embryos contain a protein (p62), previously shown to be required for mitotic progression. This protein localizes to the mitotic apparatus during cell division in urchin embryos and mammalian tissue culture cells....
Mobile agents (Computer software). ; Electronic data processing -- Distributed processing. ; Sequential processing (Computer science) -- Mathematical models.
Mobile agents have received much attention recently as a way to efficiently access distributed resources in a low bandwidth network. Planning allows mobile agents to make the best use of the available resources. This thesis studies several planning...
One of the important challenges facing image-guided neurosurgery is the fact that the brain deforms significantly over the course of an operation during open-cranial procedures. This results in a loss of registration between the brain and the...
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...
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...
This thesis considers the two special sensor networks for future sensor network design: mobile sensor networks and hybrid network of sensors and robots. To investigate two types of networks, we abstract two most important aspects that are ingrained...
Autonomous off-road navigation in unstructured, terrain can encounter mobility difficulties even when the surface that the vehicle is driving over is level and free from obstacles. Mobility challenges result from soil characteristics that prevent...
Near infrared spectroscopy -- Instruments -- Design and construction.;""Magnetic resonance imaging -- Instruments -- Design and construction."";""Breast -- Cancer -- Imaging."";""Breast -- Magnetic resonance imaging."";""Breast -- Cancer --...