Mathematical modeling of platelet deposition in arterial stenosis with major emphasis on fluid flow effects

Document Type



Master of Science (MS)


Mechanical Engineering

First Advisor's Name

Richard T. Schoephoerster

First Advisor's Committee Title

Committee Chair

Second Advisor's Name

James E. Moore

Third Advisor's Name

Richard Irey

Date of Defense



The intention of this study is to develop a numerical model that depicts flow and platelet behavior in a coronary stenosis, which contribute towards thrombosis, leading to possible embolism and sudden death. The model is intended to be the first step in applying a realistic approach to predict platelet behavior due to existing flow conditions. Using a 2-D axisymmetric geometry a two-phase turbulent flow is solved using statistically assigned variable boundary conditions at the wall. Platelets are released into the flow (Re = 300) and their convective transport is governed through turbulent modeling (to account for randomness) while their aggregation at the wall is dependent on the level of shear stress present throughout the boundary surface, Flow effects such as separation, reattachment, recirculation are emphasized in the model. Monte Carlo-type simulations indicate axial dependence of platelet-to-wall deposition by plotting normalized platelet densities (NPD) along with convergence criteria of the model results. A probability of particle occurance (Poccur) at a given wall section is statistically incorporated to assign B.C's. It was concluded from the model results that the particle insertion points and particle density offset the NPD distribution from the expected profile which was seen in some of the previous studies. Wall shear stresses as high as 123 dyne/cm2 and as low as 0.65 dyne/cm2 are documented by the model. The point of highest shear (at the neck) was not the point of lowest NPD due to particle insertion points in the recirculation zone distal to the neck.



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