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...
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...
Studies presented in this dissertation focus on the transcriptional targets and cellular functions of [Delta]Np63[alpha], the predominant TP63 isoform expressed in epithelial stem cell compartments. TP63, a member of the p53 family of...
Partially ordered sets. ; Convex polytopes. ; Representations of groups.
This thesis deals with geometric representations of ordered sets. In a geometric representation, each element of the ordered set is assigned a geometric object, with two elements incomparable in the ordered set if and only if the corresponding...
RUNX1 is a transcription factor regulating hematopoietic development. Study of the RUNX1 structure revealed two functional domains. The runt domain binds DNA and mediates interaction with CBFÃŸ. Sequences C terminal to the runt domain form the...
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...
Large scale systems -- Mathematical models. Digital computer simulation. Parallel processing (Electronic computers). Computer algorithms.
Modeling real-world large-scale systems is inherently challenging due to their size and complexity. Detailed simulation of large-scale models requires tremendous amounts of computing power and memory space. Parallel discrete-event simulation...
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...
Medical imaging methods have become increasingly important in diagnosing diseases and assisting therapeutic treatment. In particular, early detection of breast cancer is considered as a critical factor in reducing the mortality rate of women....
There is a growing demand for power-constrained sensors in many areas, particularly in emerging healthcare and next-generation biomedical applications. Such sensors have very limited power budget, among which interface circuits, including analog...
In this thesis I present analyses of optical and X-ray data of early-type galaxies in nearby rich clusters as part of the NOAO Fundamental Plane Survey. Spectroscopic parameters, including linestrengths and velocity dispersions are measured for...
Clinical medicine -- Decision making -- Mathematical models. ; Diagnosis Laboratory. ; Medical screening -- Mathematical models. ; Osteoporosis -- Diagnosis. ; Mycobacterial diseases -- Diagnosis.
This dissertation focuses on the use of decision analysis to study the optimal use of medical tests. The classic threshold model of clinical decision making provides methodological background and motivation for the dissertation. In this model,...
Most solid tumors are aneuploid, and many tumor cells persistently mis-segregate whole chromosomes at an elevated rate in a process called chromosomal instability (CIN). CIN occurs due to loss of chromosome segregation fidelity during mitosis,...
I consider the problem of extending certain invariants of subsets of natural numbers to their equivalents for subsets of larger cardinals. The two specific questions I will address are the extension of the off-branch number [Special characters...
Free radicals (Chemistry). ; Electron donor-acceptor complexes. ; Ions.
In this study, the initial charge separation distance and its impact on free radical ion (FRI) formation are investigated in detail. Transient photocurrent techniques together with other spectroscopic methods were used with a series of donors and...
Antennas (Electronics); ; Thermotherapy. ; Cancer -- Treatment.
Engineers have devised many techniques by which to raise the temperature of a cancer tumor 8 degrees above body temperature. Such treatment is called hyperthermia; experiments in vitro suggest it may be an effective adjunct to standard radition...
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...
Vibrio cholerae is the etiological agent of the acute intestinal disorder cholera. The source of cholera infection is typically fecal contamination of potable water sources. V. cholerae is able to colonize the host intestine and trigger the onset...
The study of twin primes gives rise to several famously difficult problems in number theory--in fact, we still cannot definitively say whether there are infinitely many twin primes. In this work, we consider a related problem, namely: What is the...
Genome-wide association studies (GWAS) have identified more than 8,900 genetic variants, mainly single nucleotide polymorphisms (SNPs), associated with hundreds of human traits and diseases, which define risk-associated loci (Hindorff et al., 2012 ...
Microglia are a bone marrow derived population of immune effector cells resident in the CNS. The function of these cells is manifold, and includes physiological, reparative, and immunological activities. During previous investigations of these...