Effective estimation in cardiac modelling

Authors:
Philippe Moireau;Dominique Chapelle
Affiliations:
INRIA, MACS team, Le Chesnay cedex, France;INRIA, MACS team, Le Chesnay cedex, France
Venue:
FIMH'07 Proceedings of the 4th international conference on Functional imaging and modeling of the heart
Year:
2007

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Abstract

We present a novel strategy to perform estimation for a mechanical system defined to feature the same essential characteristics as a heart model, using measurements of a type that is available in medical imaging. We adopt a sequential approach, and the joint state-parameter estimation procedure is constructed based on a robust and effective state estimator inspired from collocated feedback control. The convergence of the resulting joint estimator can be mathematically established, and we demonstrate its effectiveness by identifying localized contractility and stiffness parameters in a test problem representative of cardiac behavior and using synthetic - albeit realistic - measurements.