Dynamics of Spatial Game Theory Networks with Novel Modifications

Introduction: Advances in biotechnology have shed light on many biological processes. In biological networks, nodes are used to represent the function of individual entities within a system and have historically been studied in isolation. Network structure adds edges that enable communication between nodes. An emerging fieldis to combine node function and network structure to yield network function. One of the most complex networks known in biology is the neural network within the brain. Modeling neural function will require an understanding of networks, dynamics, andneurophysiology. It is with this work that modeling techniques will be developed to work at this complex intersection. Methods: Spatial game theory was developed by Nowak in the context of modeling evolutionary dynamics, or the way in which species evolve over time. Spatial game theory offers a two dimensional view of analyzingthe state of neighbors and updating based on the surroundings. Our work builds upon this foundation by studying evolutionary game theory networks with respect to neural networks. This novel concept is that neurons may adopt a particular strategy that will allow propagation of information. The strategy may therefore act as the mechanism for gating. Furthermore, the strategy of a neuron, as in a real brain, isimpacted by the strategy of its neighbors. The techniques of spatial game theory already established by Nowak are repeated to explain two basic cases and validate the implementation of code. Two novel modifications are introduced in Chapters 3 and 4 that build on this network and may reflect neural networks. Results: The introduction of two novel modifications, mutation and rewiring, in large parametricstudies resulted in dynamics that had an intermediate amount of nodes firing at any given time. Further, even small mutation rates result in different dynamics more representative of the ideal state hypothesized. Conclusions: In both modificationsto Nowak's model, the results demonstrate the network does not become locked into a particular global state of passing all information or blocking all information. It is hypothesized that normal brain function occurs within this intermediate range and that a number of diseases are the result of moving outside of this range.

I want to be my own person: the meaning-making and psychosocial processes of legacy students at Bucknell University

This study examined the meaning-making and psychosocial processes of five female legacy students at Bucknell University, each of whom having had at least one parent graduate from the institution. With a research philosophy, design, and methodology rooted in qualitative inquiry and phenomenology, inductive data analysis led to three primary categories that underscored legacy identity development. The first, Paradox of Influence and Identity, revealed through six themes nuanced experiences of separation-individuation. Second, Teaching and Learning, comprised of five themes, illuminated the impact of family — and of Bucknell parent alumni in particular — on their children’s internal working models. Lastly, Bucknell — the Environmental Contextand the five themes grouped therein highlighted the contributions of University community members, and of the campus culture and climate itself, to the co-construction of psychosocial formation. A tentative outline of grounded theory was offered, which explored categorical relationships; Paradox of Influence and Identity emerged as thedominant phenomenon, informing and being reinforced by the data of Teaching and Learning and Bucknell — the Environmental Context. Provisional intervention strategies for student affairs practice, in the contexts of academics, residential life, and career development, were discussed. Further, triangulated research is needed to substantiate and evolve the findings and theoretical model of this thesis.