17th Lecture Series

Dr. Nagaiah Chamakuri
Faculty at the Indian Institute of Science
Education and Research (IISER), Thiruvananthapuram, India

will give a talk on:

“Challenges in Solving Large scale PDE-constrained Optimization”

This talk presents a feasible study of optimal control techniques for cardiac defibrillation based on the bidomain-bath equations
posed on a rabbit ventricle geometry. The bidomain model consists of a system of elliptic partial differential equations coupled
with a non-linear parabolic equation of reaction-diffusion type, where a set of ordinary differential equations describes the
reaction term, modeling ionic transport. Since ODEs describe the ionic currents in the tissue, the PDE part dominates the
solving effort. Thus, it is unclear if commonly used splitting methods can outperform a coupled approach by maintaining good
accuracy.  The results will be presented in the first part based on comparing the coupled solver approach with commonly used
splitting schemes to solve more sophisticated physiological models. Consequently, the novel memory-efficient computational
technique will be demonstrated to solve the coupled systems of equations. In the second part, the optimal control approach for successful cardiac defibrillation will be shown based on minimizing a properly chosen cost functional depending on the extracellular current as input at the boundary of the bidomain-bath domain.

The talk is held on Tuesday, June 26th at 6pm
at the Mathematikon, Ground Floor, Seminar Room B

For more information please download the flyer here