title: A General Shear-Dependent Model for Thrombus Formation.
abstract: Modeling the transport, activation, and adhesion of platelets is crucial in predicting thrombus formation and growth following a thrombotic event in normal or pathological conditions. We propose a shear-dependent platelet adhesive model based on the Morse potential that is calibrated by existing in vivo and in vitro experimental data and can be used over a wide range of flow shear rates ([Formula: see text]). We introduce an Eulerian-Lagrangian model where hemodynamics is solved on a fixed Eulerian grid, while platelets are tracked using a Lagrangian framework. A force coupling method is introduced for bidirectional coupling of platelet motion with blood flow. Further, we couple the calibrated platelet aggregation model with a tissue-factor/contact pathway coagulation cascade, representing the relevant biology of thrombin generation and the subsequent fibrin deposition. The range of shear rates covered by the proposed model encompass venous and arterial thrombosis, ranging from low-shear-rate conditions in abdominal aortic aneurysms and thoracic aortic dissections to thrombosis in stenotic arteries following plaque rupture, where local shear rates are extremely high.
authors.affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors.forename: Alireza
authors.identifier: 0000-0002-0139-2080
authors.initials: A
authors.lastname: Yazdani
authors.affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors.forename: He
authors.initials: H
authors.lastname: Li
authors.affiliation: Department of Biomedical Engineering, Yale University, New Haven, Connecticut, United States of America.
authors.forename: Jay D
authors.initials: JD
authors.lastname: Humphrey
authors.affiliation: Division of Applied Mathematics, Brown University, Providence, Rhode Island, United States of America.
authors.forename: George Em
authors.identifier: 0000-0002-9713-7120
authors.initials: GE
authors.lastname: Karniadakis
mesh_terms: D000818:Animals; D001777:Blood Coagulation / Q000502:physiology*; D001783:Blood Flow Velocity / Q000502:physiology; D001794:Blood Pressure / Q000502:physiology; D003198:Computer Simulation; D006801:Humans; D008955:Models, Cardiovascular; D010973:Platelet Adhesiveness / Q000502:physiology*; D010974:Platelet Aggregation / Q000502:physiology*; D013927:Thrombosis / Q000097:blood* / Q000473:pathology / Q000503:physiopathology*