PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Hope Shaffer, Chun Liu, Fei Wang.

Title:Modeling Blood Cell-Substrate Interaction and Biofilm-Fluid Interaction
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Zhiliang Xu, University of Notre Dame (Host: C Liu)
Abstract:
In this talk, two different models will be discussed. The first model is for studying blood cell-environment interaction, specially platelet-blood vessel wall interaction. Platelets aggregation at the injury site of the blood vessel occurring via platelet-platelet adhesion, tethering and rolling on the injured endothelium is a critical initial step in blood clot formation. To understand this critical step, a hybrid model is developed to represent membranes of biological cells and the distributed-Lagrange-multiplier/fictitious-domain (DLM/FD) formulation is used for simulating the fluid-cell interactions. For modeling cell-substrate adhesion, a stochastic receptor-ligand binding submodel is used. In the second part of the talk, a biofilm model which systemically couples bacterial, extracellular polymeric substances (EPS) and solvent phases in biofilm will be discussed. The model is derived by using energetic variational approach and phase-field method coupling different phases together. An unconditionally energy-stable numerical splitting scheme is implemented for computing numerical solution of the model efficiently.

Room Reservation Information

Room Number:MB106
Date:01 / 26 / 2015
Time:02:30pm - 03:30pm