A multiphysics modeling approach for in-stent restenosis: Theoretical aspects and finite element implementation

arXiv (Cornell University)

Abstract

Development of in silico models are intrinsic in understanding disease progression in soft biological tissues. Within this work, we propose a fully-coupled Lagrangian finite element framework which replicates the process of in-stent restenosis observed post stent implantation in a coronary artery. Coupled advection-reaction-diffusion reactions are set up that track the evolution of the concentrations of the platelet-derived growth factor, the transforming growth factor-$β$, the extracellular matrix, and the density of the smooth muscle cells. A continuum mechanical description of growth incorporating the evolution of arterial wall constituents is developed, and a suitable finite element implementation discussed. Qualitative validation of the computational model are presented by emulating a stented artery. Patient-specific data can be integrated into the model to predict the risk of restenosis and thereby assist in tuning of stent implantation parameters to mitigate the risk.

Authors 4

1. Kiran Manjunatha Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University

   Mies-van-der-Rohe-Str. 1 , 52074 Aachen , Germany

2. Marek Behr Aachen Chair for Computational Analysis of Technical Systems (CATS)

   RWTH Aachen University

   Affiliation as printed

   Chair for Computational Analysis of Technical Systems RWTH Aachen University

3. Felix Jan Vogt Aachen Department of Cardiology Pulmonology Intensive Care and Vascular Medicine

   Universitätsklinikum Aachen · RWTH Aachen University

   Affiliation as printed

   Department of Cardiology Pulmonology Intensive Care and Vascular Medicine RWTH Aachen University

4. Stefanie Reese Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University