Thursday, 13:45 - 14:10 h, Room: H 0111

 

Chamakuri Nagaiah
Numerical solutions for boundary control of bidomain equations in cardiac electrophysiology

Coauthors: Karl Kunisch, Gernot Plank

 

Abstract:
The bidomain equations are widely
accepted as one of the most complete descriptions of the cardiac
bioelectric activity at the tissue and organ level.
The model consist of a system of elliptic partial differential equations
coupled with a non-linear parabolic equation of reaction-diffusion type,
where the reaction term, modeling ionic transport is described by a set of
ordinary differential equations. The optimal control
approach is based on minimizing a properly chosen cost functional
J(v,Ie) depending on the extracellular current Ie as
input, which must be determined in such a way
that wave-fronts of transmembrane voltage v are smoothed in an optimal manner.
The boundary control formulation is presented.
The numerical realization of the optimality system
is described in detail and numerical experiments, which demonstrate the
capability of influencing and terminating reentry phenomena, are presented.
We employ the parallelization techniques to
enhance the solution process of the optimality system
and a numerical feasibility study of the Lagrange-Newton-Kryloy method
in a parallel environment will be shown.

 

Talk 2 of the invited session Thu.2.H 0111
"PDE optimization in medicine II" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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