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Immersion has become a key buzzword in the theme park industry, with many themed lands and attractions being designed with this objective in mind. This paper defines immersion through the concept of the ironic imagination and examines its role in theme park attractions. A literature review was first conducted to identify general design principles for the creation of immersive theme park attractions. Authentic settings that utilize all of the senses were considered first, along with a system of positive and negative cues for evaluating immersive experiences. The importance of simple and emotional stories was also addressed, before investigating the role that employees and guests play in an immersive attraction. Eight design principles were identified, and using these principles a blue sky design for an immersive theme park attraction was developed. An overview of the attraction is included and accompanied by an analysis of how the design principles were applied.
In Chapter 2, motivated by the work of de Pillis et al. (2013), a mathematical model employing six ordinary differential (ODEs) and delay differential equations (DDEs) is formulated to understand the effectiveness of DC vaccines, accounting for cell trafficking with a blood and tumor compartment. A preliminary analysis is performed, with numerical simulations used to show the existence of oscillatory behavior. The model is then reduced to a system of four ODEs. Both models are validated using experimental data from melanoma-induced mice. Conditions under which the model admits rich dynamics observed in a clinical setting, such as periodic solutions and bistability, are established. Mathematical analysis proves the existence of a backward bifurcation and establishes thresholds for R0 that ensure tumor elimination or existence. A sensitivity analysis determines which parameters most significantly impact the reproduction number R0. Identifiability analysis reveals parameters of interest for estimation. Results are framed in terms of treatment implications, including effective combination and monotherapy strategies.
In Chapter 3, a study of whether the observed complexity can be represented with a simplified model is conducted. The DC model of Chapter 2 is reduced to a non-dimensional system of two DDEs. Mathematical and numerical analysis explore the impact of immune response time on the stability and eradication of the tumor, including an analytical proof of conditions necessary for the existence of a Hopf bifurcation. In a limiting case, conditions for global stability of the tumor-free equilibrium are outlined.
Lastly, Chapter 4 discusses future directions to explore. There still remain open questions to investigate and much work to be done, particularly involving uncertainty analysis. An outline of these steps is provided for future undertakings.