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...
Breast -- Cancer -- Tomography. ; Breast -- Cancer -- Imaging. ; Breast -- Cancer -- Diagnosis. ; Near infrared reflectance spectroscopy. ; Image processing -- Digital techniques.
Near-infrared (NIR) light has the potential to be used as a non-invasive means of diagnostic imaging within the human breast. Due to the diffusive nature of light in tissue, computational model-based methods are required for functional imaging...
The goal of this work was to improve the computational tools for near-infrared light modeling for clinical applications in photodynamic therapy (PDT) analysis and eventual treatment planning. The tools to facilitate this modeling were developed in...
Abstract (Summary) Chapter One. Platinum-Catalyzed Asymmetric Alkylation of Bis(secondary) Phosphines. Efficient Screening and the Synthesis of an Enantiomerically Pure C 2 -Symmetric Diphosphine . Platinum-catalyzed asymmetric alkylation of...
Nuclear magnetic resonance spectroscopy -- Data processing. ; Proteins -- Analysis -- Mathematical models. ; Computer algorithms.
Our aim is to enhance high-throughput applications of Nuclear Magnetic Resonance (NMR) through the development of efficient computational methods that operate on sparse (minimal) sets of experimental NMR data. We have developed a family of four...
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....
Public key infrastructure (Computer security). ; Computer networks -- Security measures. ; Operating systems (Computers). ; Microcomputers.
In 1976, Whitfield Diffie and Martin Hellman demonstrated how public key cryptography could enable secure information exchange between parties that do not share secrets. In order for public key cryptography to work in modern distributed...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Topological graph theory. Aperiodicity. Paths and cycles (Graph theory)
The condition ""every cycle has an entry"" first appeared in the literature in Kumjian, Pask, and Raeburn's paper on Cuntz-Krieger algebras of directed graphs, where it was called Condition (L). It provides a necessary condition for simplicity of...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Today''s fastest microprocessors, logic chips, and even memory chips employ dynamic logic as the key part to achieving advanced performance. Dynamic logic only retains the correct data state briefly and is far less robust than previous technologies...
Eating disorders are a persistent problem for women on college campuses across the country, and peer education programs are one method that colleges have employed to address these concerns. A previous study found that peer education is actually...
Breast -- Cancer -- Tomography. Near infrared spectroscopy. Breast -- Cancer -- Imaging. Breast -- Cancer -- Diagnosis.
Near-infrared (NIR) light provides potential for a new approach to non-invasive detection, diagnosis and clinical management of breast cancer. Using NIR spectroscopic imaging techniques, the physiological information about breast tissue composition...
Upon activation by binding of insulin, the insulin receptor tyrosine kinase phosphorylates a group of proteins known as the insulin receptor substrates (IRS's). The tyrosine phosphorylated IRS's then act as docking/effector molecules for SH2...
Breast -- Magnetic resonance imaging. Breast -- Tomography. Near infrared spectroscopy. Optical tomography. Imaging systems -- Design and construction. Diagnostic imaging -- Mathematical models.