Dynamical Equations For The Period Vectors In A Periodic System Under Constant External Stress

The purpose of this paper is to derive the dynamical equations for the period vectors of a periodic system under constant external stress. The explicit starting point is Newton’s second law applied to halves of the system. Later statistics over indistinguishable translated states and forces associated with transport of momentum are applied to the resulting dynamical equations. In the final expressions, the period vectors are driven by the imbalance between internal and external stresses. The internal stress is shown to have both full interaction and kinetic-energy terms.

THE DESIGN AND SYNTHESIS OF SILOXANE PRECURSORS FOR CHIRAL PERIODIC MESOPOROUS ORGANOSILICA MATERIALS

The development of cost-effective and reliable methods for the synthesis and separation of asymmetric compounds is paramount in helping to meet society’s ever-growing demand for chiral small molecules. Of these methods, chiral heterogeneous supports are particularly appealing as they allow for the reuse of the chiral source. One such support, based on the synergy between chiral organic units and structurally stable inorganic silicon scaffolds are periodic mesoporous organosilicas (PMOs). In the work described herein, I examine some of the factors governing the transmission of chirality between chiral dopants and prochiral bulk phases in chiral PMO materials. In particular, the exploration of 1,1’-binaphthalene-bridged chiral dopants with a focus on the point of attachment into the materials. Moreover, the effects of ordering in the materials are examined and reveal that chirality transfer is more facile in materials with molecular-scale order then those containing amorphous walls. Secondly, the issues surrounding the synthesis and purification of aryl-triethoxysilanes as siloxane precursors are addressed. Both the introduction of a two-carbon linker and the direct attachment of allyl and mixed allyldiethoxysilane species are explored. This work demonstrates that allyldiethoxysilanes are ideal, in that they are stable enough to permit facile synthesis, while still being able to hydrolyze completely to produce well-ordered materials. Lastly, the production of new bulk phases for chiral PMO materials is examined by introducing new prochiral nitrogen-containing siloxane precursors. Biphenyldiamine and bipyridine-bridged siloxane precursors are readily synthesized on reasonable scales. Their use as the bulk siloxane precursor in the production of PMO materials however, is precluded by insufficient gelation and additional siloxane precursors are necessary for the production of ordered materials. In addition to the research detailed above that forms the body of this thesis, two short works are appended. The first details the production of polythiophene assemblies mediated through coordination nanospaces, while the second explores the production of N-heterocyclic carbene functionalized gold nanoparticles through ligand exchange.

UPTAKE OF THE PERIODIC HEALTH EXAM AMONG ADULTS WITH INTELLECTUAL AND DEVELOPMENTAL DISABILITIES FROM 2003 TO 2015

Background: Over the past decade, annual heath exams have been de-emphasized for the general population but emphasized for adults with intellectual and developmental disabilities (IDD). The purpose of this project was to determine if there has been an increase in the uptake of the health exam among adults with IDD in Ontario, to what extent, and the effect on the quality of preventive care provided. Methods: Using administrative health data, the proportion of adults (18-64 years old) with IDD who received a health exam (long appointment, general assessment, and “true” health exam), a high value on the primary care quality composite score (PCQS), and a health exam or high PCQS each year was compared to the proportion in a propensity score matched sample of the general population. Negative binomial and segmented negative binomial regression controlling for age and sex were used to determine the relative risk of having a health exam/high PCQS/health exam or PCQS over time. Results: Pre joinpoint, the long appointment and general assessment health exam definitions saw a decrease and the “true” health exam saw an increase in the likelihood of adults having a health exam. Post joinpoint, all health exam definitions saw a decrease in the likelihood of adults having a health exam. Pre joinpoint, all PCQS measures (high PCQS, long appointment or high PCQS, “true” health exam or high PCQS) saw an increase in the likelihood for adults to achieve a high PCQS or high PCQS/have a health exam. Post joinpoint, all PCQS measures saw a decrease in the likelihood for adults to achieve a high PCQS or high PCQS/have a health exam. Achieving a high PCQS was strongly associated with having a health exam regardless of health exam definition or IDD status. Conclusions: Despite the publication of guidelines, only a small proportion of adults with IDD are receiving health exams. This indicates that the publication of guidelines alone was not sufficient to change practice. More targeted measures, such as the implementation of an IDD-specific health exam fee code, should be considered to increase the uptake of the health exam among adults with IDD.

EXAMINATION OF VALPROIC ACID-INDUCED PERTURBATIONS TO DNA REPAIR, NF-ΚB SIGNALING AND CBP/P300 TRANSCRIPTIONAL CO-ACTIVATORS

Exposure to the antiepileptic drug valproic acid (VPA) is associated with an increased risk of congenital malformations including heart, skeletal and most frequently neural tube defects. Although the mechanisms contributing to its teratogenesis are not well understood, VPA was previously shown to increase homologous recombination (HR)-mediated DNA repair and decrease protein expression of the transcription factor NF-κB/p65. The studies in this thesis utilized in vivo and in vitro models to evaluate the expression of HR mediators, investigate the implications of decreased p65 including DNA binding and transcriptional activation, and the expression and histone acetyltransferase activity of Cbp/p300 with an aim to provide mechanistic insight into VPA-mediated alterations. The first study demonstrated that following maternal administration of VPA, mouse embryonic mRNA expression of HR mediators Rad51, Brca1 and Brca2 exhibited temporal and tissue-specific alterations. Protein expression of Rad51 was similarly altered and preceded increased cleavage of caspase-3 and PARP; indicative of apoptosis. The second study confirms previous findings of decreased total cellular p65 protein using P19 cells, but is the first to demonstrate that nuclear p65 protein is unchanged. NF-κB DNA binding was decreased following VPA exposure and maybe mediated by decreased p50 protein, which dimerizes with p65 prior to DNA binding. Transcriptional activity of NF-κB was also increased with VPA exposure which was not due to increased p65 phosphorylation at Ser276. Furthermore, the transcriptional activation capacity was unaffected by VPA exposure as combined exposure to VPA and TNFα additively increased NF-κB activity. The third study demonstrated that VPA exposure in P19 cells decreased Cbp/p300 total cellular and nuclear protein attributed primarily to ubiquitin proteasome-mediated degradation. Histone acetyltransferase (HAT) activity of p300 was decreased proportionately to nuclear protein following VPA exposure. Inhibition of Cbp/p300 HAT activity decreased p65 total cellular protein, increased caspase-3 cleavage and ROS similar to VPA exposures. Furthermore, pre-treatment with the antioxidant enzyme catalase attenuated the increase in caspase-3 cleavage, but not p65 protein. Overall, this thesis demonstrates that VPA exposure impacts the expression and activity of the transcription factor NF-κB and transcriptional co-activators/HATs Cbp/p300, which has implications for downstream VPA targets including Rad51, Brca1 and Brca2.

An impulsive differential equation model for Marek's disease

Many dynamical processes are subject to abrupt changes in state. Often these perturbations can be periodic and of short duration relative to the evolving process. These types of phenomena are described well by what are referred to as impulsive differential equations, systems of differential equations coupled with discrete mappings in state space. In this thesis we employ impulsive differential equations to model disease transmission within an industrial livestock barn. In particular we focus on the poultry industry and a viral disease of poultry called Marek's disease. This system lends itself well to impulsive differential equations. Entire cohorts of poultry are introduced and removed from a barn concurrently. Additionally, Marek's disease is transmitted indirectly and the viral particles can survive outside the host for weeks. Therefore, depopulating, cleaning, and restocking of the barn are integral factors in modelling disease transmission and can be completely captured by the impulsive component of the model. Our model allows us to investigate how modern broiler farm practices can make disease elimination difficult or impossible to achieve. It also enables us to investigate factors that may contribute to virulence evolution. Our model suggests that by decrease the cohort duration or by decreasing the flock density, Marek's disease can be eliminated from a barn with no increase in cleaning effort. Unfortunately our model also suggests that these practices will lead to disease evolution towards greater virulence. Additionally, our model suggests that if intensive cleaning between cohorts does not rid the barn of disease, it may drive evolution and cause the disease to become more virulent.