A Simple Model of White Clot Formation

We propose a simple mathematical model of white clot formation in the blood stream consisting of three types of platelets only: free-flowing platelets, advected adhesive platelets prone to aggregation, and immobile deposited platelets. We assimilate experimental data on bonds between platelets via a simple compartmental model without digging in complicated biological mechanisms behind these bonds. We assume that platelets’ deposition is initiated at channel walls and immobile deposited platelets form a porous media that effects the blood stream. We calibrate the aggregation-related model coefficients based on experimental data and estimate media permeability via the Kozeny–Carman relation; the coefficients of the deposition onto a wall surface depend on the surface type. We demonstrate that the model reproduce qualitatively experimental data of the clot formation in a micro-crevice as well as in a channel with backward-facing step under flow conditions with moderate shear rates.