Constructibility (Set theory). Trees (Graph theory).
This thesis investigates possible initial segments of the degrees of constructibility. Specifically, we completely characterize the structure of degrees in generic extensions of the constructible universe L via forcing with Souslin trees. Then we...
Colloidal nanoparticles are particles with sizes ranging from one nanometer to several hundred nanometers, which disperse evenly in a dispersion medium. In aqueous solutions, amphiphilic molecules organize themselves to form such colloidal systems...
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...
As the ubiquitous complexity of common disease has become apparent, so has the need for novel tools and strategies that can accommodate complex patterns of association. In particular, the analytic challenges posed by the phenomena known as...
The unifying theme of this work has been the use of forward genetics to identify three new genes - each thought to play an important yet unrecognized role in either the core circadian oscillator of Neurospora crassa , or in its main physiological...
Despite great progress in object recognition techniques, there is a mismatch between traditional approaches and the characteristics of real world vision tasks. We highlight in particular, three closely related areas of mismatch: i) recognition...
RNA binding proteins are fundamental components of crucial biological processes in all domains of life. The development of techniques to study RNA binding protein complexes is, therefore, broadly impactful. I employed multiple genome-wide...
In this thesis, we consider several problems relating to cyclic subgroups of the group [mathematical equation]. Each element of [mathematical equation] has a unique representative in one of the two intervals [mathematical equation] and...
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...
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....
'The control of waves using periodic structures is crucial for modern optical, electromagnetic and acoustic devices such as diffraction gratings, filters, photonic crystals, solar cells, sensors, and absorbers. We present a high-order accurate...
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...
Space plasmas. ; Magnetopause. ; Solar wind. ; Magnetic flux. ; Plasma astrophysics.
Two types of two-dimensional (2-D), coherent (time-stationary) space plasma structures, described by one-fluid, magnetostatic and isotropic plasma theory, are examined. One is the internal structure of the Earth's magnetopause and the other is...
Brain tumors account for ~2% of all cancers, with gliomas accounting for ~70% of all brain tumors. Evidence suggests that extent of resection provides both a quality of life and survival benefit to patients. Recent work has shown the utility of...
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...