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...
The brain is a vastly interconnected information processing network. In humans, this network supports the rich mental space at the root of the imagination and enables many flexible cognitive abilities such as scientific and artistic creativity. How...
In this thesis we review the methods for computation of cosmological correlations in the early universe known as the in-in formalism which are then applied to the problem of magnetogenesis from inflation. For this computation, a power-law single...
This thesis investigates a notion of Turing reducibility introduced by Winkler [8] that is total on all computably enumerable oracles. Groszek and Weber show in [7] that this is a new notion of reducibility and it is not transitive. They give su...
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...
Clinical medicine -- Practice. ; Medicine -- Practice. ; Group medical practice.
Health care micro-systems are small, organized groups of clinicians and staff working together with a shared clinical purpose to provide care for a defined set of patients. The size of individual micro-systems vary--a micro-system must be large...
H-NS, an abundant nucleoid associated protein, has a role in silencing the expression of a variety of environmentally regulated genes during growth under nonpermissive conditions. A genetic approach was used to study H-NS regulation of genes in...
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...
Eukaryotic cells contain distinct membrane-bound organelles that house sets of specialized metabolic reactions. The network of controlled communications between organelles is known as the secretory pathway. Transport of proteins and lipids between...
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...
Yeast vacuole fusion involves three transmembrane SNAREs and a unique soluble SNARE, Vam7p. This SNARE cycles between vacuolar membrane-bound and cytosolic state. In its membrane-bound state, it is able to participate in vacuolar fusion by...
Since their discovery in laboratory plasmas in the 1920s, Langmuir waves have been observed to be ubiquitous in plasma environments, particularly in space plasmas. From the greater solar wind to planetary foreshocks and the auroral ionosphere,...
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...
Introduction. Nosocomial sepsis in extremely low birth weight (ELBW) infants 501-1000 grams is associated with increased mortality risk, prolonged hospitalization, and increased costs of care. Purpose. The purpose of this thesis was to evaluate the...
Human locomotion -- Computer-assisted instruction. ; Real-time data processing. ; Human-computer interaction.
Teaching physical motions such as riding, exercising, swimming, etc. to human beings is hard. Coaches face difficulties in communicating their feedback verbally and cannot correct the student mid-action; teaching videos are two dimensional and...
Proteins -- Structure -- Mathematical models. Recombinant proteins -- Mathematical models. Mathematical optimization -- Data processing. Dynamic programming. Protein engineering.
Site-directed protein recombination produces improved and novel protein variants by recombining sequence fragments from parent proteins. The resulting hybrids accumulate multiple mutations that have been evolutionarily accepted together. Subsequent...
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...
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...
This thesis describes the synthetic study of two biologically related natural products: porphobilinogen (PBG) and cobyric acid. PBG is the key intermediate in the biosynthesis of all naturally occurring tetrapyrrolic 'pigments of life', including...
Two-phase flow -- Mathematical models. ; Gas dynamics -- Mathematical models. ; Kinetic theory of gases.
The kinetic theory based gas-dynamical computational method, due to (Prendergast and Xu, 1993: Xu and Prendergast, 1994) is generalized to two-phase flow computations. The Bhatnagar-Gross-Krook kinetic model is generalized to the case of two...
Pervasive computing leads to an increased integration between the real world and the computational world, and many applications in pervasive computing adapt to the user's context, such as the location of the user and relevant devices, the presence...
Plants -- Effect of iron on. Iron -- Metabolism -- Molecular aspects. Chloroplasts. Plant mitochondria. Homeostasis. Plant enzymes. Reduction (Chemistry). Iron chelates.
Voltage-dependent sodium channels (Na v ) are critical determinants of the ability of a neuron to generate and propagate action potentials. While a large family of Na v isoforms has been identified, the impact of specific isoforms on the electrical...
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...
Self-reconfiguring (SR) robots are modular systems that can autonomously change shape, or reconfigure , for increased versatility and adaptability in unknown environments. In this thesis, we investigate planning and control for systems of...
Dartmouth University: left to right, Jim Schwedland, Coach, Norwich Vt., Michael Kane, Captain, New Hope, Pa., Robert Merrill, Livingston, NJ, Donald Sherwood, Nicholson, Pa., Ted Talbot, Palmyra, NJ, Frank Ruch, Reading, Pa. (Nova Scotia...
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...
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...