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...
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...
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...
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...
For a local field K, we study the affine buildings Îž n and Î” n naturally associated to SL n ( K ) and Sp n ( K ), respectively. Since Sp n ( K ) is a subgroup of SL 2 n ( K ), we investigate properties of a natural embedding of Î” n in Îž 2 n ....
The thermodynamic properties of pure polymers and polymer mixtures have been investigated using the so-called Born-Green-Yvon (BGY) lattice theory. Previous results applied pure component pressure-volume-temperature ( PVT ) data in order to...
In this work we investigate the quantum dynamics of three different configurations of nonlinear cavity systems. We begin by carrying out a quantum analysis of a dc superconducting quantum interference device (SQUID) mechanical displacement detector...
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...
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...
Goldman and Turaev constructed a Lie bialgebra structure on the free Z-module generated by free homotopy classes of loops on an oriented surface. Turaev conjectured that the cobracket of A is zero if and only if A is a power of a simple class. Chas...
Background:
With the science and transparency of quality measurement unfolding, and economic forces changing, hospital leaders seek to aggressively improve their systems' care quality. Successful organizational transformations will engage everyone...
Internet -- Security measures. Public key infrastructure (Computer security). Digital signatures. Peer-to-peer architecture (Computer networks) -- Security measures.
The Internet has become a virtual place where people not only operate in isolation but also interact with other Internet users. Collaborative systems are becoming more popular. Applications now being introduced could provide better remote education...
Medical imaging methods have become increasingly important in diagnosing diseases and assisting therapeutic treatment. In particular, early detection of breast cancer is considered as a critical factor in reducing the mortality rate of women....
Vibrio cholerae is the etiologic agent of cholera in humans. Intestinal colonization occurs via ingestion of contaminated food and water and results in symptoms that include the production of the characteristic rice water stool, vomiting, and...
Despite immunogenicity, melanoma-specific vaccines have demonstrated minimal clinical efficacy in patients with established disease, but enhance survival when administered in the adjuvant setting. It has been shown that T cell infiltration of...
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...
Vibrio cholerae is a water-borne, Gram negative enteropathogen that causes the gastrointestinal disorder, cholera, in humans. A critical step in cholera pathogenesis is the attachment and colonization of intestinal cells, and the formation of...
In the late 1960s, Ihara began work that led to the Ihara zeta function, a zeta function which is defined on a finite graph. This function is an interesting graph invariant which gives information on expansion properties of the graph. It also...
Scientific methods that detect deception have been studied since 1895. Among them, computational methods have gained popularity in recent decades thanks to the development of artificial intelligence, (AI). Detecting deception by categorizing...
The Greenland Ice Sheet (GrIS) is responding sensitively to climate change and its meltwater has the potential to influence global sea level. Recently, large changes in the GrIS have occurred including increased velocities of outlet glaciers and...
In Chapter 2 we look at the distribution of permutation statistics in the context of pattern-avoiding permutations. The first part of this chapter deals with a recursively defined bijection of Robertson [37] between 123- and 132-avoiding...
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...
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...
Elevated sympathetic discharge from the CNS is an underlying pathogenic mechanism in neurogenic hypertension and an exacerbating factor in chronic heart failure (CHF). Current treatment of these diseases focuses on attenuation of the downstream...
Antibodies are known to be a primary correlate of protection in almost all current vaccines, and thus evaluating the antibody response is of critical importance in attempting to predict the efficacy of novel vaccine candidates. Historically...