Development of Mathematical Methods for Next Generation Stent Design

Explore the cutting-edge mathematical methods behind next-generation stent design in this 54-minute SIAM Invited Address from the 2019 Joint Mathematics Meetings. Delve into the presentation by Suncica Canic from the University of California, Berkeley, as she covers a comprehensive range of topics including linear elastic structures, kinematic conditions, weak solutions, and unconditional unstable schemes. Gain insights into uniform energy estimates, general existence theorems, compact problem formulations, and the Dirichlet Neumann Operator. Learn how advanced mathematical modeling and analysis contribute to the development of innovative medical devices, bridging the gap between theoretical mathematics and practical applications in biomedical engineering.

Introduction
Presentation
Application
Literature
Modeling Analysis
Linear Elastic Structures
Kinematic Conditions
Weak Solutions
Literature Review
Unconditional Unstable Schemes
Uniform Energy Estimates
General Existence
Compact Problem
Dirichlet Neumann Operator
Full Problem