Date Thesis Awarded

5-2009

Document Type

Honors Thesis

Degree Name

Bachelors of Science (BS)

Department

Mathematics

Advisor

Junping Shi

Committee Member

Robert Michael Lewis

Committee Member

Gregory D. Smith

Committee Member

Jianjun Paul Tian

Abstract

Mitochondria have been proposed to be an integral part of intracellular calcium signaling. We examine the two-pool model of intracellular calcium signaling by Goldbeter et al. 1990 [11] and propose a new model that uses the mitochondria. This creates a three-pool model for intracellular calcium signaling. We then proceed to discuss the differences between the two-pool and three-pool models by following the analysis of the two-pool model presented by Sneyd et al. 1993 [19]. The addition of the third pool does not change any of the dynamics of the two-pool model, but adds some functionality. The mitochondria acts like a buffer that has the ability to change the temporal dynamics, and we have a region of bistability that allows for dampened oscillations given the right stimulus and initial conditions.

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Comments

Thesis is part of Honors ETD pilot project, 2008-2013. Migrated from Dspace in 2016.

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