Observers for data assimilation - Applications to cardiac modeling

Abstract : My work focuses on inverse problems and in particular identification problems and more generally data assimilation problems with applications in particular to the cardiovascular system. In this context, I propose original sequential estimation approach also known as observers. My contributions consist of the design of observer feedback, the analysis of the resulting observers, the definition of joint state and parameter estimation strategy, the discretization of these sequential estimators and their application in a real data context. In parallel of this "inverse problem" activity, I contribute to the improvement of mathematical and mechanical models of the cardiac contraction, to their discretization and to their analysis. This second aspect of my research is complementary of the first one as the data assimilation success deeply depends on adequate modeling ingredients.
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Habilitation à diriger des recherches
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https://tel.archives-ouvertes.fr/tel-01404866
Contributor : Philippe Moireau <>
Submitted on : Tuesday, November 29, 2016 - 12:33:53 PM
Last modification on : Wednesday, March 27, 2019 - 4:16:24 PM
Long-term archiving on : Tuesday, March 21, 2017 - 1:43:14 PM

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  • HAL Id : tel-01404866, version 1

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Philippe Moireau. Observers for data assimilation - Applications to cardiac modeling. Modeling and Simulation. Université Paris Saclay; Université Paris Sud - Paris XI, 2016. ⟨tel-01404866⟩

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