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A Cyclic Compartmental Model Approach to the Nemesis of Consciousness: Alzheimer's

Whether researchers favor the physiological or psychological approach, the agreement remains, Alzheimer's disease (AD) is the enemy of consciousness, especially that of elders. From pharmaceutical products and imaging techniques to mental discussion and memory training, scientists have not discovered a successful method to prevent AD's inevitable progression. However, recent research discovers that rats have acquired certain AD symptoms upon the injection of Amyloid-beta-42 (Aβ42) protein. While Amyloid beta protein has always been a theory to Alzheimer's cause, researchers were unable to distinguish whether this protein is a cause or a symptom until this discovery. With this result, our research suggests that Aβ42 is one of the puzzling reasons for AD. Particularly, the input and output around Aβ42 will be the basis of this mathematical modeling approach. For our purposes, the modeling proposal follows a continuous cycle observed solely through AD patients. Building on the work of Reed et al. (2002), our aim is to describe the fundamental aspects of this common cycle among Alzheimer's patients, and then propose a qualitative initiation of AD. With an emphasis on the dynamics of methionine (Met) and homocysteine (Hcy) in Reed's Methionine Cycle, we monitor the qualitative decrease of Aβ42 level to determine the progression of AD.

  • Poster session award recipient at the 2008 SIAM–Life Sciences Convention in Montreal, Canada

Article Number:
MTBI-05-07M

Year:
2008

Authors:
Helme Castro, Arizona State University
Sunhwa Choi, Konkuk University, Seoul, Korea
Natalia Rodriguez, Universidad de Puerto Rico-Cayey
YuJie Shui, Boston University
Graduate Mentors:
David Tello, Arizona State University
Griselle Torres-Garcia, Arizona State University
Faculty Advisors:
Joaquin Rivera, Arizona State University
Abdessemad Tridane, Arizona State University

a_cyclic_compartmental_model_approach_to_the_nemesis_of_consciousness_alzheimers_.pdf