Introduction. This chapter provides a brief overview of the thesis. Chapter 1: tert-butyl-diphosphabutarene - Synthesis and reactivity of a novel phosphacycle. Treatment of 1,2-bis(dichlorophosphino)benzene (12) with tert-butylmagesium chloride...
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...
Digital integrated circuits -- Testing. Digital integrated circuits -- Testing -- Mathematical models. Digital integrated circuits -- Design and construction.
The effects of process parameters on the microstructural and textural evolution during directional recrystallization processing were investigated. Microstructural evolution during primary directional recrystallization of 80% cold-rolled, single...
In this thesis, we study the dynamics of magnetic flows on compact nilmanifolds. Magnetic flows are generalizations of geodesic flows. They model the motion of a particle of unit mass and unit charge in a smooth manifold M in the presence of a...
Core-binding factors (CBFs) are a small family of transcription factors that play important roles in several developmental processes and in human disease. CBFs consist of CBFα (Runx1, Runx2, or Runx3) and CBFβ. The CBFα subunit binds DNA in a...
Over the past decade, a pair of instructions called load-linked (LL) and store-conditional (SC) have emerged as the most suitable synchronization instructions for the design of lock-free algorithms. However, current architectures do not support...
This thesis centers around a generalization of the classical discrete Fourier transform. We first present a general diagrammatic approach to the construction of efficient algorithms for computing the Fourier transform of a function on a finite...
Automatic control -- Sensitivity. Structural control (Engineering). Strains and stresses -- Computer simulation. Structural analysis (Engineering). Engineering models.
Autonomous damage detection in engineering structures is critically important as the demands placed upon those structures are increased. It has been well established that damage detection can be done through monitoring the modal frequencies of the...
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...
We present designs, theory and the results of fabrication and testing for a novel parallel microrobotic assembly scheme using stress-engineered MEMS microrobots. The robots are 240-280 μm × 60 μm × 7-20 μm in size, each robot consist of a...
Production of fuel ethanol from cellulosic materials is a potentially attractive way to meet sustainability, energy security, and environmental goals. However, the high cost of processing using current technology has thus far prevented...
Relativity (Physics). ; Anisotropy -- Mathematical models. ; Einstein field equations. ; Newtonian fluids. ; Astrophysics.
We study the effects of anisotropic pressure on the properties of spherically symmetric, gravitationally bound spheres. We consider the full general-relativistic and Newtonian treatment of this problem and obtain exact solutions for various forms...
Nucleotide sequence -- Data processing. Linkage (Genetics) -- Data processing. Computer algorithms. Human population genetics. Medical Term Base Pairing -- genetics. Base Sequence -- genetics. Genome wide association studies.
This thesis investigates techniques for the discovery and use of phase information in genetic studies. ""Phase"" refers to the precise assignment of the members of a different base pairs at the same genomic locus to two possible candidate...
The theory community has worked on Secure Multiparty Computation (SMC) for more than two decades, and has produced many protocols for many settings. One common thread in these works is that the protocols cannot use a Trusted Third Party (TTP), even...
A new type of analytic expansion for use in stability calculations is presented and applied to the question of the stability of laminar solutions of the Navier-Stokes equation. This leads in a natural way to a model of the transition from laminar...
Digital video -- Analysis. Forensic sciences. Image processing -- Digital techniques.
We present new forensic tools that are capable of detecting traces of tampering in digital video without the use of watermarks or specialized hardware. These tools operate under the assumption that video contain naturally occurring properties which...
There is a growing demand for power-constrained sensors in many areas, particularly in emerging healthcare and next-generation biomedical applications. Such sensors have very limited power budget, among which interface circuits, including analog...
Sexual selection is a driver of biodiversity and creates spectacular forms of variation. However, only recently have we begun to understand how this variation operates on the postcopulatory level and how cryptic mechanisms affect male-male...
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...
Eukaryotic cells are compartmentalized into membrane-enclosed organelles. Genetic screens and reconstituted biochemical assays have revealed that intracellular protein trafficking is mediated by a conserved mechanism of vesicle budding, transport,...
The fluxes of radiation belt electrons are highly variable, due to a competition between various acceleration, loss, and transport processes. Studies of any of the processes are equally important. My study focuses on electron-EMIC (electromagnetic...
Morbidity and complexity involved in lymph node staging via surgical resection and biopsy could ideally be overcome using node assay techniques that are non-invasive. Visible blue dyes, fluorophores and radio-tracers are often used to locate the...
Networks that model relationships in the real world have attracted much attention in the past few years. The "link prediction problem" plays a central role in the network area. In this thesis, we explore the link prediction problem in a...
Clinical medicine -- Decision making -- Mathematical models. ; Diagnosis Laboratory. ; Medical screening -- Mathematical models. ; Osteoporosis -- Diagnosis. ; Mycobacterial diseases -- Diagnosis.
This dissertation focuses on the use of decision analysis to study the optimal use of medical tests. The classic threshold model of clinical decision making provides methodological background and motivation for the dissertation. In this model,...
Three-dimensional imaging in medicine -- Mathematical models. Intraoperative monitoring. Cerebral cortex -- Imaging. Computer vision. Space perception.
Brain deformation models have proven to be a powerful tool in compensating for soft tissue deformation during image-guided neurosurgery. The accuracy of these models can be improved by incorporating intraoperative measurements of brain motion. We...
Ocean circulation -- Georges Bank -- Mathematical models. ; Submarine topography -- Georges Bank.
A two-dimensional continuously-stratified model is derived for the study of instability properties of oceanic density fronts in the presence of sloping bottom topography. While the model retains several traditional assumptions, such as uniformity...
Two localized spectroscopic imaging methods were investigated to detect and discriminate microscopic pathologies at the surface of excised breast tissues in order to improve resection completeness during breast conserving surgery. A scanning in...