Medicine and Health Sciences Commons^™

Mathematical Modeling Of Type 1 Diabetes, Gianna Wu

HMC Senior Theses

Type 1 Diabetes (T1D) is an autoimmune disease where the pancreas produces little to no insulin, which is a hormone that regulates blood glucose levels. This happens because the immune system attacks (and kills) the beta cells of the pancreas, which are responsible for insulin production. Higher levels of glucose in the blood could have very negative, long term effects such as organ damage and blindness.

To date, T1D does not have a defined cause nor cure, and research for this disease is slow and difficult due to the invasive nature of T1D experimentation. Mathematical modeling provides an alternative approach …

Louis De La Forge On Mind-Body Interaction And The Case Against Occasionalism, Melissa Kalaee Gholamnejad

CGU Theses & Dissertations

Fidelity to the Cartesian philosophy requires a defense of dualism as well as mind-body union and interaction, all the while keeping to some form of the causal likeness principle. Each of these positions are ones that Descartes maintained throughout his writings. Yet, successors and scholars alike have noted the inconsistencies that arise from defending these views conjointly and have argued that one or more of them should be abandoned. Even the first generation of Cartesian successors whose fidelity to the Cartesian principles was especially steadfast, such as Louis de la Forge, have been interpreted and characterized as giving up causal …

Descartes Comes Out Of The Closet, Nora E. Culik

Journal of Humanistic Mathematics

While “Descartes Comes Out of the Closet” is ostensibly about a young woman’s journey to Paris, the descriptive detail borrows language and images from Cartesian coordinate geometry, dualistic philosophy, neuroanatomy (the pineal), and projections of three dimensions onto planes. This mathematical universe is counterpointed in the natural language of the suppressed love story that locates the real in the human. Thus, at the heart of the story is the tension between competing notions of mathematics, i.e., as either an independent realm apart from history or as a culturally produced and historical set of practices. Of course, the central character proves …

Medicine, Statistics, And Education: The Inextricable Link, Katharine K. Brieger '11, Johanna S. Hardin

Pomona Faculty Publications and Research

No abstract provided.

Dynamic Diseases In Neurology And Psychiatry, John Milton, Deborah Black

WM Keck Science Faculty Papers

Thirty-two (32) periodic diseases of the nervous system are identified in which symptoms and/or signs recur. In 10/32, the recurrence of a symptom complex is one of the defining features of the illness, whereas in 22/32 oscillatory signs occur in the setting of an ongoing nervous system disorder. We discuss the possibility that these disorders may be dynamic diseases.

Dynamical Disease: Identification, Temporal Aspects And Treatment Strategies For Human Illness, Jacques Bélair, Leon Glass, Uwe An Der Heiden, John Milton

WM Keck Science Faculty Papers

Dynamical diseases are characterized by sudden changes in the qualitative dynamics of physiological processes, leading to abnormal dynamics and disease. Thus, there is a natural matching between the mathematical field of nonlinear dynamics and medicine. This paper summarizes advances in the study of dynamical disease with emphasis on a NATO Advanced Research Workshop held in Mont Tremblant, Quebec, Canada in February 1994. We describe the international effort currently underway to identify dynamical diseases and to study these diseases from a perspective of nonlinear dynamics. Linear and nonlinear time series analysis combined with analysis of bifurcations in dynamics are being used …