Magnetic susceptibility imaging of magnetic nanoparticles (mNPs) has many potential applications in biomedicine such as contrast enhanced imaging and image guidance for magnetic hyperthermia therapy. This thesis describes three imaging methods...
The processes by which nonlinear physical systems approach thermal equilibrium is of great importance in many areas of science. Central to this is the mechanism by which energy is transferred between the many degrees of freedom comprising these...
We study motion planning problems, finding trajectories that connect two configurations of a system, from two different perspectives: optimality and survivability. For the problem of finding optimal trajectories, we provide a model in which the...
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...
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...
Infrared imaging. Image reconstruction. Optical images -- Mathematical models. Breast -- Imaging. Infrared radiation in medicine.
Finite element based reconstruction algorithms for optical property profiling in biological tissues have been developed, implemented and evaluated using simulated data and laboratory measurements obtained with near infrared continuous wave (cw) and...
Earlier work has suggested that various neurological or neuropsychiatric disorders may result in characteristic spatial patterns in brain activation, potentially allowing their detection from maps of brain activity under different conditions....
Optical tomography. ; Near infrared spectroscopy. ; Image analysis -- Mathematical models. ; Imaging systems -- Image quality -- Mathematical models. ; Image reconstruction -- Mathematical models. ; Least squares. Breast -- Tomography.
Diffuse optical tomography (DOT) has the potential to become a non-invasive and non-ionizing diagnostic imaging technique for breast cancer imaging. DOT uses near-infrared (NIR) light to illuminate the breast, generally through the use of fiber...
We provide a theoretical model for a design involving a dc voltage biased Josephson junction (JJ) that strongly drives a high quality factor microwave cavity via the ac Josephson effect. We explore the rich classical dynamics of the resultant...
Interleukin-2 (IL-2) is an immunoregulatory cytokine whose biological effects are mediated through interaction with specific receptors (IL-2R) on the surface of target cells. Due to its presumed role in generating a normal immune response, IL-2 is...
Three-dimensional imaging in medicine -- Mathematical models. ; Stereoencephalotomy.
In the past, clinicians skilled at image-guided neurosurgery have relied solely on pre-operative scans for their navigational information. Often in the course of surgery, tissue is purposely retracted/resected or inadvertently moved resulting in a...
The Cerenkov Maser radiation is examined using linear and nonlinear theory. Linear theories for the gain in the single particle and the collective limits have been given previously. In this work, we show the connections between these two operating...
The problem of perceived annoyance as a function of number of noise events and maximum noise level was investigated in a series of seven laboratory experiments. Four models were tested: the Equal Energy Model, the Scandinavian Model, the Variance...
Structural control (Engineering). ; Smart structures -- Vibration. ; Strains and stresses -- Computer simulation. ; Automatic control -- Sensitivity. ; Feedback control systems.
This thesis investigates vibration-based damage identification problems in smart structures. Vibration-based damage metrics suffer from small sensitivity of modal properties to damage, thus making it difficult to detect, locate, and determine the...
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...
Magnetic resonance. ; Microwaves -- Physiological effect. ; Thermoelasticity. ; Neutron spin echoes. ; Microwave imaging in medicine. ; Imaging systems in medicine -- Design. ; Breast -- Magnetic resonance imaging.
Magnetic Resonance has been shown to detect tissue displacements generated by a mechanical stimulus or an ultrasound (US) field. Magnetic Resonance Microwave Absorption (MRMA) imaging uses MR to image microwave-induced thermoelastic waves as a...
A new algorithm is presented which uses maximum likelihood (ML) estimation and convex constraints to restore edge information in a robust and accurate way for microscope images. The convex constraints are spatially variant bounds on the image...
Motivated by the goal of investigating the dynamics of the electroweak phase transition in the early Universe, a study of dynamical aspects of nonlinear field-theoretical systems is performed. Symmetric and asymmetric double-well potentials in the...
Manifolds (Mathematics) Geodesics (Mathematics) Space and time.
We investigate weak and strong refocusing of light rays in a space-time and related concepts. A strongly causal space-time ( X^ n +1 , g ) is emphstrongly refocusing at x ∈ X if there is a point y ≠ x such that all null-geodesics through y pass...
American beech -- Ecology -- North America -- Mathematical models. Beech bark disease -- Mathematical models. Fungal populations -- Mathematical models. Nonindigenous pests -- Environmental aspects -- Mathematical models.
When a nonnative insect or pathogen becomes established in a forest, outcomes for host trees can range from local or minor effects to regional extirpation. Elevated host mortality is often accompanied by compensatory recruitment by co-occurring...
Epistasis (Genetics) Bioinformatics -- Methodology. Genetics -- Data processing. Medical Term Computational Biology -- methods.
A goal of human genetics is the prediction of an individual's risk of common human diseases from their genome sequence. Currently genome-wide methods to measure genetic variation across individuals exist, but methods to effectively analyze these...