Math Modeling Seminar: Computational Framework for the Elastography Inverse Problem
Math Modeling Seminar
Computational Framework for the Elastography Inverse Problem
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Dr. Basca Jadamba
Professor, Department of Mathematics and Statistics
Rochester Institute of Technology
Abstract:
Early detection and treatment are key components in improving patient survival rates in cases of soft tissue cancers. In this talk, we present a linear elasticity model that describes the displacements of soft tissues under applied body forces. The underlying mathematical problem we consider is to identify a spatially varying parameter, tissue stiffness, in the elasticity system using displacement data obtained from imaging systems such as ultrasound. The inverse problem is motivated by its potential to aid in the diagnosis of soft tissue cancers. We formulate the problem as an optimization problem where the linear elasticity system is the constraint. We introduce a computational framework based on finite element methods for tackling the problem, discuss issues related to computational efficiency, mesh refinement, and boundary conditions, and present numerical examples using both synthetic and measurement data.
Speaker Bio:
Basca Jadamba is a Professor in the School of Mathematics and Statistics at Rochester Institute of Technology. She received her Ph.D. degree in Applied Mathematics from University of Erlangen-Nuremberg in 2004. Prior to that, Dr. Jadamba received B.Sc. and M.Sc. degrees from National University of Mongolia (Mathematics) and Technical University of Kaiserslautern (Modeling and Scientific Computing/Industrial Mathematics). Her research interests are in finite element methods, numerical analysis, and inverse problems.
Intended Audience:
Beginners, undergraduates, graduates. Those with interest in the topic.
Interpreters have been requested.
Event Snapshot
When and Where
Who
This is an RIT Only Event
Interpreter Requested?
Yes