Three main theorems due to Fenichel are fundamental tools in the exploration
of geometric singular perturbation theory. This expository paper attempts
to provide an introduction to the concepts stated in Fenichel's theorems and provide
illustrative...
The Knudsen pump works on the principle of thermal transpiration. As a result of requiring a thermal gradient, channel hydraulic diameter smaller than the mean free path of the gas being pumped, and having no moving parts, the Knudsen pump features...
Optimal trajectory generation is an essential part for robotic explorers to execute the total exploration of deep oceans or outer space planets while curiosity of human and technology advancements of society both require robots to search for...
Heart--Diseases--Diagnosis; Diagnostic imaging; Magnetic resonance imaging; Imaging systems in medicine
Many cardiac diseases, such as myocardial ischemia, secondary to coronary artery disease, may be identified and localized through the analysis of cardiac deformations. Early efforts for quantifying ventricular wall motion used surgical implantation...
The purpose of this study was to determine if training has a protective effect on endothelial function following the consumption of a high-fat meal. Twenty young males classified as trained or untrained underwent vascular and blood lipid testing...
A new procedure has been developed for determining
the location of the source of certain EEG discharges
given the measured surface potentials. The
source is modeled as a single current dipole with arbitrary
position and orientation, while the head...
Given a metric space (K, d), the hyperspace of K is defined by H(K) = {F c K: F is compact, F ≠ 0}. H(K) is itself a metric space under the Hausdorff metric dH. Hyperspaces have been extensively studied by topologists since the 1970's, but the...
The Faroe Islands are a small archipelago in the North Atlantic. With a current population of approximately 49,000 individuals and evidence of high levels of genetic drift, the Faroese are thought to have remained highly homogeneous since their...
In the age of high-throughput molecular biology techniques, scientists have incorporated the methodology of in-situ hybridization to map spatial patterns of gene expression. In order to compare expression patterns within a common tissue structure,...
This thesis will present various methods of trajectory generation for various types of mobile robots. Then it will progress to evaluating Robot Operating Systems (ROS’s) that can be used to control and simulate mobile robots, and it will explain...
Activity-based rehabilitation is important for clinically treating spinal cord injury (SCI). Advances in SCI research are dependent on quality animal models, which rely on our ability to detect functional differences in animals following injury....
An ensemble consists of a set of individual predictors whose predictions are combined. Generally, different classification and regression models tend to work well for different types of data and also, it is usually not know which algorithm will be...
Heart--Hypertrophy; Heart--Physiology; Sugar in the body; Metabolism; Diabetes--Research
Heart failure is recognized as a major cause of death among diabetics. In type I and II diabetes, glucose uptake, glycolysis and pyruvate oxidation are impaired, and fatty acid utilization increases. These alterations in metabolism contribute...
Cardiac mapping has become an important area of research for understanding the mechanisms responsible for cardiac arrhythmias and the associated diseases. Current technologies for measuring electrical potentials on the surface of the heart are...
Outerplanar graphs are planar graphs that have a plane embedding in which each vertex lies on the boundary of the exterior region. An outerplanar graph is maximal outerplanar if the graph obtained by adding an edge is not outerplanar. Maximal...
Parkinson's disease--Treatment; Stem cells--Therapeutic use
Parkinson's disease (PD) is a hypokinetic movement disorder resulting from the
progressive neurodegeneration of the dopaminergic nigrostriatal system in the brain and
the resulting imbalance between dopamine and acetylcholine in the basal ganglia...
Our research activities are based on the catalytic systems that provide resource-saving synthetic methodologies through gold-catalyzed reactions of alkynes and alkenes. We have worked on three applications: i) an effective and straightforward...
Hematite synthesized by low pressure oxygen plasma has been shown previously to exhibit promising characteristics as a photo-anode for a photoelectrochemical water splitting cell. It is cheap, stable and has a 2.1 eV bandgap and exhibits a...
This thesis is divided into two parts below. Part I Adriamycin (ADR) can produce nephrotoxicity in rodents. The underlying mechanism may relate to ADR induced oxidative stress. In this study, we used transgenic mice (NMT3), which over-expressed the...
In today's world of private information and mass communication, there is an ever increasing need for new methods of maintaining and protecting privacy and integrity of information. This thesis attempts to combine the chaotic world of cellular...
