Abstract
This work deals with an inverse electrocardiological problem considering the reconstruction of where one has to reconstruct the heart transmembrane potential from thorax's high density measurements. The problem will be solved as an optimal control one for a partial differential system with incomplete data. The electrical activity on the heart is here modelled by a system of FitzHugh–Nagumo's type where the initial conditions corresponding to the transmembrane potential and to the gating variables are unknown. We use the low-regret optimal control method by J.-L. Lions to tackle this problem. We prove the existence and uniqueness of a low-regret control that we characterise by a singular optimality system.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
