Brain tissue mechanics are an important biomarker for neurological disorders, yet methods to obtain tissue information yield inconsistent conclusions. These techniques can be invasive or require excised tissue, where tissue function is altered from...
In this thesis, we characterize and enumerate the permutations which are realized by the orbits of signed shifts, a family of discrete dynamical systems on words. The permutations, which are called patterns of the signed shifts, are given by the...
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...
Through a series of case studies, signal processing and statistical tools, analyses of dynamic sea ice processes of drift, deformation, and ice pack expansion and decay are investigated for the Weddell Sea region during 1992. Cavitating fluid (CAV)...
Boundary integral methods have long been used to solve boundary value problems for elliptic partial differential equations with piecewise constant coefficients, since they have several numerical advantages over conventional volume discretization....
'Orthogonal modular forms are algebraic modular forms arising from lattices in quadratic spaces. In this thesis, we define orthogonal modular forms, establish their basic properties, and then apply them to a case of ternary quadratic spaces to...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
The docking and fusion of cellular membranes plays an essential role in the secretory and endocytic pathways and in organelle inheritance. The homotypic fusion of vacuoles from the yeast Saccharomyces cerevisiae has been used as a model system to...
The present work examines the cognitive structure of the self-concept. Improving upon established measures of self-complexity (H -statistic), cognitive complexity of the self-concept is measured in terms of the number of self-aspects and the...
Agent-based policy learning in complex and uncertain environments is challenged by escalating computational complexity with the size of the task space (action choices and environmental states) as well as the number of agents. Nonetheless, there is...
For a local field K, we study the affine buildings Ξ n and Δ 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 Δ n in Ξ 2 n ....
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...
Optical spectroscopy. Magnetic resonance imaging. Breast -- Cancer -- Imaging.
Magnetic Resonance (MR)-guided Diffuse Optical Imaging is an emerging technique to improve breast cancer imaging. This modality combines the high sensitivity of breast MR with images of tissue physiology, including blood content, oxygen saturation,...
Little is known about the emergence of life from nonliving precursors. A key missing- piece is the origin of homochirality: nearly all life is characterized by exclusively dextrorotary sugars and levorotary amino acids. The research presented in...
Psychopaths. Personality and emotions. Emotions and cognition.
Research investigating clinical and criminal psychopaths is quite extensive. Though it has evolved in terminology over the years, the basic premise and description of psychopathy has maintained deficits associated with emotional interpretation and...
Arsenic -- Toxicology.
Lungs -- Diseases -- Immunological aspects.
Lungs -- Diseases -- Genetic aspects.
Medical Term Arsenic -- toxicity.
Toxic metals are a major health concern in the environment and particularly in Superfund and other toxic waste sites. Arsenic (As) is considered the number one environmental chemical of human health concern both in the U.S. and worldwide. It is...
A fuller understanding of cost and utilization, per discharge and for all-payers, is needed at the hospital level. I conducted three studies to address this need. In study 1, I examine the amount of variation in costs and LOS per discharge that can...
Magnetic resonance elastography (MRE) is a technique to produce images of the mechanical properties of tissue, which are indicative of a variety of diseases. Tissue motions measured using MRI are used to solve an inverse problem to recover...