A continuum model for platelet plug formation and growth

When the wall of a blood vessel is damaged, the immediate response of the body to prevent blood loss is the creation of a platelet plug. The process is both chemical (platelets are chemically activated to adhere to the injured wall) and mechanical (platelets are convected by blood flow, which interacts with the forming plug). A continuum model for platelet plug formation and growth is presented in this work, which allows to study the interaction between platelet plug morphology and local haemodynamics. The numerical framework consists of two parts: a biochemical model combined with a new plug growth model. The biochemical model is a system of convection-diffusion-reaction equations, each of which represents the dynamics of platelets and chemicals involved in the plug formation process. The plug growth model defines the plug interface displacement based on the outcome of the biochemical model, that is, on the number of deposited bounded platelets on the injured part of the vessel wall. Results for different cases are shown, together with a comparison between the sole biochemical model and the complete model that includes plug growth. The framework opens the way to the development of continuum models for full blood clot formation and growth in physiologically relevant configurations.