Coding theory. Characters of groups. Error-correcting codes (Information theory). Polynomials.
We introduce vector-valued character theory, a higher dimensional generalization of character theory. We then use vector-valued characters to extend the MacWilliams equivalence theorem for linear codes to a class of additive codes, called...
Oligomers -- Structure -- Mathematical models. Nuclear magnetic resonance spectroscopy.
Medical Term: Nuclear Magnetic Resonance, Biomolecular.
Protein complexes play vital roles in the fundamental processes of life. In particular, homo-oligomers are involved in cell signaling, regulation, and transport. To make detailed studies of these symmetric proteins, they need to be discovered, and...
Part I. A photoprecursor for difluorocarbene . The goal of this research was to develop a more practical and efficient photoprecursor for difluorocarbene. The first approach was concerned with the synthesis of 4,4-difluoropyrazoline-3,5-dione ( 5...
Our conscious experience of memory often includes reconstuctions of the past in order to fill the gaps of forgotten events and details. The goal of this thesis is to use the tools of cognitive neuroscience to better understand the cognitive and...
The experiments comprising this thesis aimed to characterize the neural and behavioral correlates of learning about and responding to the predictive information conveyed by social cues. Facial expressions are cues that convey critical information...
Shape modeling is an important area in computer vision and medical imaging. Shape models have proved valuable in the tasks of object representation, recognition, and classification. This thesis focuses on shape models of 3D surfaces extracted from...
Classical threshold theory assumes that a threshold is fixed and immutable. It cannot explain nor predict the underlying mechanisms for any changes in threshold value due to training. However, increased sensitivity to sensory signals through...
Ataxia telangiectasia -- Molecular aspects.
DNA damage.
Cell cycle -- Regulation.
Antineoplastic agents.
Cancer cells -- Growth -- Regulation.
Medical Term Cell cycle proteins.
DNA can be damaged by many endogenous and exogenous factors. In response to DNA damage, cells activate cell cycle checkpoints to stop the cell cycle and allow time for repair of the damage. Defects in these pathways allow replication to continue...
Alzheimerâ€™s disease (AD) is a progressive neurodegenerative disease and the most common cause of dementia in the aging population. Currently, there is no cure for AD. The hallmark of AD consists of extracellular amyloid plaques, mainly composed...
In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
Brain mapping via EEG activation is a useful tool of basic neuroscience, and has wide clinical applications as well. The mapping is achieved by means of Event Related Potentials (ERPs), task-related changes in EEG time series. The methodology of...
Corpus callosum -- Physiology. Cerebral hemispheres. Laterality. Sensorimotor integration. Brain -- Localization of functions.
The overarching goal of the dissertation was to further understanding of the relationship between callosal organization, functional lateralization, and interhemispheric communication in the healthy, young adult brain. Three converging methodologies...
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...
This thesis considers the two special sensor networks for future sensor network design: mobile sensor networks and hybrid network of sensors and robots. To investigate two types of networks, we abstract two most important aspects that are ingrained...
Thermodynamics, and the classic balance between entropy and enthalpy, provides a proverbial zoo of exotic phase behaviour that chemists can harness to create new materials out of simple liquids and polymers. The diversity of self-assembling...
Opinion dynamics is a complex procedure that entails a cognitive process when it deals with how a person integrates influential opinions to form revised opinion. Early research on opinion formation and social influence can be traced back to the...
Visual searches for a conjunction of features (e.g., a particular combination of color and shape) are ordinarily slow and difficult. However, search efficiency for a particular conjunction can improve dramatically within a few hundred practice...
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...
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....
Si-based quantum devices, including Si/SiGe quantum dots (QD), are promising candidates for spin-based quantum bits (quits), which are a potential platform for quantum information processing [1]. Meanwhile, qubit readout remains a challenging task...
Sea ice appears to form an impenetrable boundary at the ocean-atmosphere interface in polar regions, yet in fact its porous structure provides critical pathways for the exchange of heat, gases, salts, and other chemical species impacting the global...
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...
Electroencephalography -- Data processing. ; Epilepsy -- Diagnosis. ; Signal processing -- Mathematics. ; Time-series analysis. ; Wavelets (Mathematics).
Visual interpretation of the EEG associated with an epileptic seizure (ictal EEG) can be cumbersome and sometimes misleading, due to rapid seizure spread, limited spatial resolution and the fact that signals of interest are often obscured by...
In this thesis I present analyses of optical and X-ray data of early-type galaxies in nearby rich clusters as part of the NOAO Fundamental Plane Survey. Spectroscopic parameters, including linestrengths and velocity dispersions are measured for...
The Border Gateway Protocol (BGP) that manages inter-domain routing on the Internet lacks security. Protective measures using public key cryptography introduce complexities and costs. To support authentication and other security functionality in...
Forest ecology -- Northeastern States. ; Forest canopy ecology -- Northeastern States. ; Forest dynamics -- Northeastern States.
In closed-canopy forests, changes in the relative abundance of tree species due to major disturbance or to its absence are thought to be governed principally by differences among component species in the performance of juveniles. However, few...
Geomagnetic micropulsations. ; Magnetosphere. ; Cosmic magnetic fields -- Measurement.
A study of magnetospheric pulsations is presented in three parts. The first consists of a statistical survey using data from the AMPTE/IRM satellite. A number of conclusions are drawn from the study. Evidence is provided that supports the theory...
The thesis is dedicated to the understanding and characterization of brittle compressive fracture of columnar S2 ice. The work quantifies the strength of fresh-water S2 ice and investigates its characteristic brittle failure modes under biaxial...