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.

CERAMICS IN BRITAIN (1840-90): MEANINGS AND METAPHORS

The intention of this thesis, “Ceramics in Britain (1840–90): Meanings and Metaphors” is to present new approaches for interpreting ceramics in nineteenth-century Britain by situating, problematizing, and contextualizing pottery and porcelain in the popular debates of the day within the methodologies of material culture, design, cultural and art histories. I ask how did ceramics—portable, functional, and often decorative objects—contribute to shaping modes of experiences? Crockery, tableware and blue-white-porcelain, admittedly largely mediated in texts and paintings, are at the centre of this research to examine how they imposed symbolism and influenced the engagement of their subjects beyond their intended meanings and functions. This thesis tracks a common rhetoric shared by writers and artists across genres and understood by readers and viewers: crockery in the cupboard, on the mantel, the table or the floor were popular motifs exemplifying class, gender, character, etiquette, and taste. This thesis also seeks to map ceramics’ relations with other objects and people depicted. Their meanings and metaphors changed, depending on their exchange with other objects in the room and who uses them. The conventions of representing ceramics dictated a particular grammar that writers and artists used, critiqued, discarded or personalized. The examination of ceramics mediated in text and image especially in comparison with extant objects invites a deeper probing of both material culture and artistic practice, which helps to situate the agency of the ceramic objects themselves. Also this thesis, in attempt to explore new methodological approaches for ceramic studies, examines the social life of the mid-Victorian relief-moulded “Minster” Jug in the Gardiner Museum in Toronto. The product originating in Staffordshire in 1843 and exported to the colonies holds significance due to its multiple life histories. Viewing the “Minster” through the lenses of curator, collector, consumer, and critic its layered lives unfold to reveal the protocols of museum praxis as well as important aspects of mid-nineteenth-century British society related to design reform, gender, imperialism and consumption patterns. This thesis contends that the British experienced ceramics in sometimes unexpected ways, unrelated to their original purpose, such as tools of violence or containers of solace, and transformative fantasy.

WAKING (TO) THINKING BEING: A STUDY OF EDUCATION, METAPHYSICS, MIND, AND LANGUAGE

This dissertation articulates the basic aims and achievements of education. It recognizes language as central to thinking, and philosophy and education as belonging profoundly to one another. The first step is to show that although philosophy can no longer claim to dictate the foundations of knowledge or of disciplines of inquiry, it still offers an exceptionally general level of self-understanding. Education is equally general and faces a similar crisis of self-identity, of coming to terms with reality. Language is the medium of thought and the repository of historical mind; so a child’s acquisition of language is her acquisition of rational freedom. This marks a metaphysical change: no longer merely an animal, she comes to exercise her powers of rationality, transcending her environment by seeking and expressing reasons for thinking and doing. She can think about herself in relation to the universe, hence philosophize and educate others in turn. The discussion then turns to the historical nature of language. The thinking already embedded in language always anticipates further questioning. Etymology serves as a model for philosophical understanding, and demonstrates how philosophy can continue to yield insights that are fundamental, but not foundational, to human life. The etymologies of some basic educational concepts disclose education as a leading out and into the midst of Being. The philosophical approach developed in previous chapters applies to the very idea of an educational aim. Discussion concerning the substantiality of educational ideals results in an impasse: one side recommends an open-­ended understanding of education’s aims; the other insists on a definitive account. However, educational ideals exhibit a conceptual duality: the fundamental achievements of education, such as rational freedom, are real; but how we should understand them remains an open question. The penultimate chapter investigates philosophical thinking as the fulfillment of rational freedom, whose creative insights can profoundly transform our everyday activities. That this transformative self-understanding is without end suggests the basic aims of education are unheimlich. The dissertation concludes with speculative reflection on the shape and nature of language, and with the suggestion that through education reality awakens to itself.