Bayesian nonparametric methods have become increasingly popular in machine learning for their ability to allow the data to determine model complexity. In particular, Bayesian nonparametric versions of common latent variable models can learn as...
We study the bijective combinatorics of reduced words. These are fundamental objects in the study of Coxeter groups. We restrict our focus to reduced words of permutations and signed permutations. Our results can all be situated within the context...
Wnt/[beta]-catenin signaling directs metazoan development and is aberrantly activated in many cancers; however, effective inhibitors to treat Wnt-driven cancers have long been elusive. Following the recent discovery that the ADPribose polymerase...
Free electron lasers -- Experiments. Wave guides -- Design and construction. Diffraction gratings -- Experiments. Electron beams. Infrared sources.
The far infrared region of the electromagnetic spectrum, 15-3000 Œºm in wavelength, has a paucity of narrow band laser sources. To address the issue of whether a grating based free electron laser could operate well as such a source, a grating...
Two auroral sounding rocket case studies, one in the dayside and one in the nightside, explore aspects of poleward boundary aurora. The nightside sounding rocket, Cascades-2 was launched on 20 March 2009 at 11:04:00 UT from the Poker Flat Research...
In this thesis we study 1=k-geodesics, those closed geodesics that minimize on any subinterval of length L=k, where L is the length of the geodesic. These curves arise as critical points of the uniform energy, a function introduced in Morse theory...
The Wnt/β-catenin signaling pathway controls numerous biological processes from embryogenesis to adult homeostasis; aberrant Wnt signaling underlies a wide range of human diseases. In the absence of Wnt stimulation, a multiprotein “destruction...
Vibrio cholerae is a gram-negative bacterial pathogen that causes the severe diarrheal disease cholera. Several bacterial factors have been identified that are critical for V. cholerae intestinal colonization. The best characterized of these...
Human behavior -- Mathematical models. ; Web usage mining. ; Internet users.
Whom we e-mail, where we browse, what we purchase, and the things we search for on the World Wide Web all leave identifiable traces of who we are as individuals. In today's technology focused landscape, cyberspace represents the new environment in...
Core binding factor translocations and inversions are among the most frequently identified mutations in acute myeloid leukemia. We present work that characterizes the functional contributions of domains within the fusion proteins resulting from the...
In Chapter 2 we look at the distribution of permutation statistics in the context of pattern-avoiding permutations. The first part of this chapter deals with a recursively defined bijection of Robertson [37] between 123- and 132-avoiding...
Robots -- Control systems -- Design and construction. Mobile robots. Robots -- Dynamics.
This thesis examines the issues of vehicle and information dynamics in the control of a multi-robot system using a radial-basis potential function controller. Distributed control of multi-robot systems requires each robot to communicate state...
We prove the existence of nontrivial multiparameter isospectral deformations of metrics on the classical compact simple Lie groups SO (n) (n = 9, n ≥11), Spin(n) (n = 9, n ≥11), SU (n) (n ≥7), and Sp (n) (n ≥5). The proof breaks into three...
Morbidity and complexity involved in lymph node staging via surgical resection and biopsy could ideally be overcome using node assay techniques that are non-invasive. Visible blue dyes, fluorophores and radio-tracers are often used to locate the...
Sensing light from the environment using photoreceptors is of great adaptive significance to eukaryotes. A prominent feature of the photochemistry of these receptors is the photocycle length, the time taken to decay from the initial signaling light...
'Orthogonal modular forms are algebraic modular forms arising from lattices in quadratic spaces. In this thesis, we define orthogonal modular forms, establish their basic properties, and then apply them to a case of ternary quadratic spaces to...
Let K be the function field over a finite field of odd order, and let H be a definite quaternion algebra over K. If Α is an order of level M in H , we define theta series for each ideal I of Α using the reduced norm on H. Using harmonic analysis...
Spectral theory is the subfield of differential geometry which provided the solution to Kac''s famous question, "Can you hear the shape of a drum?" That is, can we use the Laplace spectrum of a manifold to draw conclusions about its geometry or...
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...
The chemistry of indole can be reversed and redirected by the addition of powerful electron-withdrawing groups. Incorporation of a nitro group at C-2 or C-3 renders the adjacent carbon susceptible to nucleophilic attack. Nitro, cyano, and...
Many intracellular transport events are mediated by vesicles that bud from donor membranes and then fuse with acceptor membranes. The transport of secretory proteins between the ER and Golgi compartments of the yeast Saccharomyces cerevisiae has...
Core binding factor (CBF) is a heterodimeric transcription factor that is essential for a number of developmental process including hemotopoiesis and bone development. CBFs contain a DNA-binding CBFα. subunit and a non-DNA binding CBFß. subunit...
Prion diseases are infectious neurodegenerative disorders characterized by a conformational change of the host-encoded prion protein. The normal nonpathogenic isoform of the prion protein (PrPc) is primarily composed of α-helices and very low...
This thesis reports work on a new device to detect changes in spatially nonuniform intensity distributions, and shows how this device can be applied to the particular problem of optical vibration detection. The phase of optical radiation is very...
Transition metals play critical roles in biological systems as essential components of metalloproteins and metalloenzymes, as diagnostic probes and pharmaceuticals, and in some instances, as sources of toxicity. Cellular concentrations vary...
We associate, to each positive integer n , a Cayley graph to the group PSL(2.Ζ[subscript n]). We then consider the isoperimetric numbers of these graphs. In chapter three we determine upper bounds for the isoperimetric number by a detailed...