Single cycle electromagnetic pulses have been difficult to experimentally generate and to theoretically analyze. With the recent development of terahertz systems based on near infrared femtosecond lasers it has become possible to perform single...
Estradiol is a key regulator of immune protection in the female reproductive tract (FRT). Its concentration varies during the menstrual cycle, leading to changes in innate immune protection. In this thesis, I demonstrate the multiple levels at...
CD antigens. Immune response -- Regulation. Hemoglobin.
CD163 is a monocyte- and macrophage-specific surface glycoprotein proposed to function in the maintenance of homeostasis and the resolution of inflammation. CD163 binds hemoglobin-haptoglobin complexes implicating this receptor as a hemoglobin...
The Euler '-function and Carmichael -function are extremely important in modern number theory, and much work has been devoted to studying the distribution and arithmetic properties of the values of each function. One interesting unresolved question...
In the late 1960s, Ihara began work that led to the Ihara zeta function, a zeta function which is defined on a finite graph. This function is an interesting graph invariant which gives information on expansion properties of the graph. It also...
Fluorescence molecular imaging will have an important clinical impact in the area of guided oncology surgery, where emerging technologies are poised to provide the surgeon with real-time molecular information to guide resection, using targeted...
We present aligned hierarchies, a novel solution to the dimension reduction problem, representing high-dimensional and noisy sequential data as a low-dimensional object that encodes relevant information. In this thesis, we motivate our presentation...
Siegel domains. Modular groups. Hecke algebras. Forms
In the 1960s Satake proved the existence of an isomorphism between the local Hecke algebra and the ring of polynomials invariant under the action of the signed permutation group W n (the Weyl group associated to Sp n over a local field)....
An interval order is an ordered set whose elements are in correspondence with a collection of intervals in a linearly ordered set, with disjoint intervals ordered by their relative position. The order complex of an ordered set is the simplicial...
Smartphones we carry everyday represent the first truly context-aware mobile device. By embedding specialized sensors and pushing AI into phones, it is now possible to continuously sense and infer people's physical activities, social interactions,...
Protein kinase C activators and microtubule damaging drugs stimulate BCL2 phosphorylation, which has been associated with either enhancement or inhibition of cell viability. In a Burkitt lymphoma cell line, both types of agents likewise stimulated...
Novel biotherapeutics have reshaped drug discovery and promise a continued revolution in disease therapy, yet therapeutic proteins present unique design challenges. One distinguishing risk factor is the prospect of eliciting an adaptive immune...
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...
Friction severely limits performance in precise positioning systems. This thesis investigates one possible approach to counter friction related performance losses, friction cancellation. In this method a friction observer is used to estimate...
Sensor networks are used in many realtime applications for collecting information from monitored environments and objects, such as moving vehicle tracking, battlefield reconnaissance, and habitat monitoring. Sensor networks are often deployed in...
This project focuses on the development of research tools and methods that are used to study the relationship between neural activity and subsequent hemodynamic responses in the human brain. This relationship, referred to as neurovascular coupling,...
Prostate cancer (PCa) recurrences are often predicted by assessing the status of surgical margins (SM) â€“ positive surgical margins (PSM) increase the chances of biochemical recurrence by 2-4 times which may lead to PCa recurrence. At present,...
During our fieldwork with real-world organizations---including those in Public Key Infrastructure (PKI), network configuration management, and the electrical power grid---we repeatedly noticed that security policies and related security artifacts...
Molecular optical imaging in vivo has potential for functional assessment of tumor tissue at the cellular and subcellular level. Advances in biological understanding of genomics and proteomics have increased the knowledge of possible cellular...
We begin with a result on the refocussing of null geodesics in space-times. We show that all oriented refocussing 2-dimensional Lorentz manifolds are also strongly refocussing. We also introduce a theory of virtual Legendrian knots. We show that...
Leukemia represents a small percentage of human cancer, accounting for about 5% of all cases of cancer in adults, but, interestingly, for about 50% of all cases of cancer in children. The behavior of leukemia is often regulated by the chromosomal...
The focus of this thesis is the study of nuclearity and exactness for groupoid crossed product C*-algebras. In particular, we present generalizations of two well-known facts from group dynamical systems and crossed products to the groupoid setting....
The ubiquitous complexity of common diseases is one of the biggest challenges facing the field of personalized treatments and precision medicine. This complexity can be attributed to various sources such as the genetic make-up of an individual,...
The accelerated expansion of space in the Universe has been known for two decades. However, finding a plausible theory that describes this expansion is more difficult: Taking general relativity for granted requires us to stipulate the existence of...
There are no Vassiliev invariants of degree one for classical knots. A. Henrich proved the existence of a sequence of three Vassiliev invariants of degree one for virtual knots. The invariants get stronger and stronger, and the final invariant is...
Partially ordered sets and permutations are combinatorial structures having vast applications in theoretical computer science. In this thesis, we study various computational and algorithmic problems related to these structures. The first chapter of...
Coronary artery bypass graft (CABG) surgery is a leading treatment option for extending and/or improving the quality of life for patients suffering from heart disease. While we have witnessed improvements in mortality and morbidity secondary to...
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...
Digital cinematography. ; Cinematography -- Lighting -- Data processing -- Evaluation. ; Cinematography -- Special effects -- Data processing -- Evaluation. ; User interfaces (Computer systems) -- Evaluation.
We define appearance design as the creation and editing of scene content such as lighting and surface materials in computer graphics. The appearance design process takes a significant amount of time relative to other production tasks and poses...
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...
Arabidopsis thaliana -- Genetics. Transcription factors. Iron -- Metabolism. Iron deficiency diseases in plants -- Genetic aspects.
In order to preserve a balance between the requirement for iron and its toxicity, plants likely maintain tight control over iron homeostasis. We are interested in identifying factors involved in the regulation of iron uptake and have examined this...