Department of Mathematics

Applied Mathematics

  •  Computational Modeling in Studying Blood Clot Formation
  •  11/18/2016
  •  4:10 PM - 5:00 PM
  •  1502 Engineering Building
  •  Zhiliang Xu, University of Notre Dame

Blood clotting is a multiscale process involving blood cells, fibrinogen polymerization, coagulation reactions, ligand-receptor interactions and blood plasma flow. Detailed multiscale models of blood clotting to cover all aspects of clotting are, if not possible, extremely difficult to develop. Models focusing on specific events across one or two spatial-temporal scales seem to be plausible. In this talk, ligand-receptor binding kinetics model, computational model of fluid-structure interaction (FSI) for simulating flow-elastic membrane with mass and a continuum model for studying the structural stability of clots will be presented. The binding kinetics model revealed that platelet αIIbβ3 integrin and fibrin interacts through a two-step mechanism. The new FSI model is derived by using the energy law and distributed-Lagrange-multiplier/fictitious-domain (DLM/FD) formulation. The continuum model for studying the structural stability of clots utilized the phase field and energetic variational approaches. Simulation results show that rheological response of the blood clot to the flow is determined by mechanical and structural properties of its components. Two main mechanisms are shown to significantly affect volume of the already formed clot: dynamic balance between platelet adhesion and platelet removal by the flow on the blood clot surface and removal of parts of the clot through rupture.



Department of Mathematics
Michigan State University
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C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
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