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Séminaire du LJLL
Alfio Quarteroni (Université Polytechnique de Milan
et Ecole Polytechnique Fédérale de Lausanne)
Cet exposé sera donné dans le cadre de la neuvième édition des
Leçons Jacques-Louis Lions
qui comprendront également un mini-cours intitulé
From problem setting to problem solving via scientific machine learning
donné les mardi 15, mercredi 16 et jeudi 17 octobre 2024, voir
https://www.ljll.fr/lecons-jacques-louis-lions-2024-alfio-quarteroni
Computational medicine represents a formidable generator of mathematical problems and numerical methods that enable a deeper understanding of human physiology and provide crucial support to physicians for more accurate diagnoses, optimized therapies, and patient-specific surgical interventions.
The inherent difficulties associated with the multiphysics and multiscale nature of the problems at hand, data uncertainty, inter- and intra-patient variability, and the curse of dimensionality, can be overcome thanks to the development of accurate, physics-based models empowered with data-driven artificial intelligence algorithms.
In this presentation, we will show how the iHEART simulator, an integrated model of the human heart function, enables us to achieve these objectives, and discuss some future developments.