A Mathematical Model of the Effect of Aspirin on Blood Clotting

• Main Author: Johng, Breeana J
• Format: Others
• Published: Scholarship @ Claremont 2015
• Subjects: Aspirin; Blood clotting; Math model; PGHS; TXB2; Applied Mathematics; Ordinary Differential Equations and Applied Dynamics
• Online Access: http://scholarship.claremont.edu/scripps_theses/718; http://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1631&context=scripps_theses

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.