A Mathematical Model of the Effect of Aspirin on Blood Clotting

Author

Breeana J. Johng, Scripps CollegeFollow

Graduation Year

2015

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Reader 1

Lisette G. de Pillis

Reader 2

Blerta Shtylla

Reader 3

Christopher Towse

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2015 Breeana J. Johng

Abstract

In this paper, we provide a mathematical model of the effect of aspirin on blood clotting. The model tracks the enzyme prostaglandin H synthase and an important blood clotting factor, thromboxane A₂, in the form of thromboxane B₂. Through model analysis, we determine conditions under which the reactions of prostaglandin H synthase are self-sustaining. Lastly, through numerical simulations, we demonstrate that the model accurately captures the steady-state chemical concentrations of interest in blood, both with and without aspirin treatment.

Recommended Citation

Johng, Breeana J., "A Mathematical Model of the Effect of Aspirin on Blood Clotting" (2015). Scripps Senior Theses. 718.
https://scholarship.claremont.edu/scripps_theses/718