- Inverse Problems
- Heart conditions are among the most widespread illnesses in the Western world, and cause the deaths of millions of people every year. The main purpose of this project is to study one of these conditions, heart infarctions; or more generally, ischemic heart disease. Our approach does not follow the methods of contemporary medical research, instead we use modern computational mathematics and high speed computers to gain insight into this health problem.
- Cardiac Computations
- The purpose of the Computational Cardiac Electrophysiology project is to develop an efficient simulator for the electrical and mechanical behavior of the heart.
- Biomedical Flows and Structures
- This project will use the methods and software from the Computational Middleware and the Robust Flow Solvers projects to attack challenging biomedical flow problems - a new and vital class of challenging physical problems where mathematical modeling is in its initial stages. Computational biofluid mechanics is an emerging field that is already beginning to have an impact on the design of medical devices, the development and planning of surgical procedures, and the enhancement of the scientific understanding of human development, disease and aging.
- The Robust Flow Solver Project
- Modelling and predicting fluid flow is an important issue in many branches of science and technology. The Robust Flow Solver project aims to develop and implement robust adaptive finite element methods for viscous and turbulent fluid flow. In particular, we are interested in the development of general, reliable and efficient flow solvers for simulation of biomedical flow problems on complex geometries.
- The computational middleware project
- The purpose of the Computational Middleware project is to develop methods and software for efficient numerical solution of partial differential equations in general, and biomedical applications in particular.