A Mathematical Model for Blood Clotting

Abstract

Many biological phenomena are characterized by extensive fluid mechanical and chemical reactionary systems. As such, it is necessary to understand the manner in which these processes develop and the role that they play in a given system. Vascular blood flow is characterized by convective, diffusive, and reactive processes. Specifically, blood clot formation involves platelet convection within the blood stream, diffusion through the Lévêque boundary layer of the blood vessel, and binding to vascular breaches. Accordingly, in order to understand blood clotting, the fluid mechanics of blood flow as well as the reaction mechanism of platelet adhesion are relevant. In this study, we formulate a mathematical model for blood clotting and associated processes.