Medizinische Universität Graz Austria/Österreich - Forschungsportal - Medical University of Graz
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SHR Neuro Krebs Kardio Lipid Stoffw Microb
Nagaiah, C; Kunisch, K; Plank, G.
Optimal control approach to termination of re-entry waves in cardiac electrophysiology.
J Math Biol. 2013; 67(2):359-388
Doi: 10.1007/s00285-012-0557-2
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- Co-Autor*innen der Med Uni Graz
- Plank Gernot
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- Abstract:
- This work proposes an optimal control approach for the termination of re-entry waves in cardiac electrophysiology. The control enters as an extracellular current density into the bidomain equations which are well established model equations in the literature to describe the electrical behavior of the cardiac tissue. The optimal control formulation is inspired, in part, by the dynamical systems behavior of the underlying system of differential equations. Existence of optimal controls is established and the optimality system is derived formally. The numerical realization is described in detail and numerical experiments, which demonstrate the capability of influencing and terminating reentry phenomena, are presented.
- Find related publications in this database (using NLM MeSH Indexing)
- Animals -
- Arrhythmias, Cardiac - physiopathology
- Cardiac Electrophysiology -
- Finite Element Analysis -
- Heart - physiology
- Models, Cardiovascular -
- Numerical Analysis, Computer-Assisted -
- Find related publications in this database (Keywords)
- Electrophysiology
- Cardiac arrhythmia
- Bidomain model
- PDE constraint optimization
- Finite element method
- NCG algorithm