Date/Time
Date(s) - 04/04/2023
3:30 pm - 4:30 pm

Speaker: Suncica (Sunny) Canic – UC Berkeley

Series Title: A Mathematical Approach to the Design of a Bioartificial Pancreas

Lecture Title: Next Generation Stent Design: A new mathematical approach to constrained optimization of mesh-like structures and fluid-structure interaction

Abstract: Stents are mesh-like tubes which hold blood vessels or air passages open. There are many types of stents, including bare metal stents, drug eluting stents, airway stents, and stents that anchor bioartificial heart valves in transcatheter (aortic) valve replacement procedures. In 2020, for the first time, the FDA approved the use of 3D-printed airway stents. With the rapid development of 3D printing technology, it is only a matter of time until 3D printed vascular stent are slated for FDA approval. Optimal design of stents tailored to a particular use and patient geometry is a pressing topic in medical device design. Together with collaborators at the University of Zagreb, Croatia, we are developing a novel mathematical and computational framework for optimal design of mesh-like devices such as stents based on dimension reduction and modeling of mesh-like structures as 1D networks of curved rods. Our novel mathematical framework is based on: (1) the development of constrained optimization for 1D networks, (2) analysis and numerical methods development for fluid-structure interaction between the flow of an incompressible, viscous fluid such as blood, and vascular walls containing stents, and on (3) analysis and numerical simulations of advection-reaction-diffusion on moving domains to capture elution of anti-inflammatory drugs used to coat drug-eluting stents. In this talk we will give an overview of the mathematical problems and mathematical results motivated by the next-generation stent design.

Location: BSB 104