The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
We present a number of findings concerning groupoid dynamical systems and groupoid crossed products. The primary result is an identification of the spectrum of the groupoid crossed product when the groupoid has continuously varying abelian...
Molecular imaging of cancer features is a critical part of advancing better tools for oncology management and drug discovery, yet it is still evolving as a useful tool. Diffuse Fluorescence Tomography (FT) is one approach to molecular imaging, used...
Motivated by quantum mechanics and geometric optics, it is a long-standing problem whether the length spectrum of a compact Riemannian manifold can be recovered from its Laplace spectrum. One route to proving that the length spectrum depends on the...
This thesis investigates the embedding theory of orders in central simple algebras, placing a particular emphasis on the role that the phenomenon known as selectivity plays in the theory. Although the notion of selectivity is completely algebraic,...
Many organisms recognize and respond to categories: predator, prey, rival, or juvenile. Organisms recognize these ecologically-important categories by assessing diverse sensory stimuli. A primary focus of my research has been understanding how...
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...
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...
In the past few years there has been a tremendous growth in the usage of digital images. Users can now access millions of photos, a fact that poses the need of having methods that can efficiently and effectively search the visual information of...
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...
This thesis comprises two separate but related studies, dealing with two strongly interacting nanoscale systems on the border between the quantum and classical domains. In Part 1, we use a Born-Markov approximated master equation approach to study...
Fc receptors. Dendritic cells. Immune recognition.
Three types of Fc receptors for IgG, FcyRI (CD64), FcyRII (CD32), and FcyRIII (CD 16) are expressed differentially on blood leukocytes. In particular, CD64 and CD32 are constitutively expressed on mononuclear phagocytes of the human myeloid system....
GABA -- Receptors. Anabolic steroids -- Physiological effect. Androgens -- Physiological effect. Prosencephalon. Neurotransmitters -- Effect of drugs on. Psychoneuroendocrinology.
Anabolic androgenic steroids (AAS) are derivatives of testosterone originally designed for therapeutic applications to enhance anabolic potency (protein synthesis and muscle growth) while exerting low androgenic (masculinizing) effects. The...
We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n ≥11), Spin(n) (n = 9, n ≥11), SU (n) (n ≥7), and Sp (n) (n ≥5). The proof breaks into three...
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...
Anabolic-androgenic steroids (AAS) are synthetic derivatives of the gonadal hormone, testosterone. Despite their many untoward side effects, AAS are wildly abused for their ergogenic properties. AAS have numerous effects on many organ systems,...
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...
T cells. T cells -- Receptors. CD antigens. CD4 antigen. Immunologic memory. Herpesvirus diseases -- Immunological aspects. Vaccinia. CD8-Positive T-Lymphocytes -- immunology. CD4-Positive T-Lymphocytes -- immunology. Herpesviridae Infections --...
The phenomenon of immunological memory has been known for thousands of years. This knowledge has been applied to vaccination, which has resulted in a dramatic reduction in the number of deaths due to infectious diseases. Immunological memory is...
We provide a theoretical model for a design involving a dc voltage biased Josephson junction (JJ) that strongly drives a high quality factor microwave cavity via the ac Josephson effect. We explore the rich classical dynamics of the resultant...
Hypercapnia -- Regulation. ; Carbon dioxide -- Physiological effect. ; Carbon dioxide in the body. ; Brown garden snail -- Respiration. ; Potassium channels.
After more than 150 years of studying the respiratory effects of hypercapnia, the intrinsic neuronal mechanism by which carbon dioxide (CO²) stimulates electrical excitability of respiratory neurons, and hence respiratory drive, is still...