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xxviii  Preface




                                         iology and pathology. The reader will discover methods and ap-
                                         proaches that combine the best of both sciences, for fast, accurate
                                         and personalized digital twins of the heart.


                                         Book organization

                                            The book is organized into two parts. First, general cardiac
                                         physiology, modeling, and implementation concepts are intro-
                                         duced. The objective is to provide the reader with the necessary
                                         background that will then be useful for the remainder of the book.
                                         The second part describes how machine learning and artificial in-
                                         telligence can facilitate patient-specific modeling, ranging from
                                         automatic anatomical modeling to AI accelerated models to ro-
                                         bust parameter estimation. Finally, the book concludes with clini-
                                         cally relevant examples to illustrates how such technologies could
                                         be applied to real-world applications.


                                         Part 1: Modeling the beating heart: approaches and implementation
                                         Chapter 1: Multi-scale models of the heart for patient-specific
                                         simulations. The first chapter of the book introduces the main
                                         concepts and models of heart function. Physiological mecha-
                                         nisms and related models are introduced and discussed. The ma-
                                         jor physiological systems are described: anatomy, electrophysiol-
                                         ogy, hemodynamics and biomechanics. Methods used for param-
                                         eter estimation from clinical data are also introduced.
                                         Chapter 2: Implementation of a patient-specific cardiac model.
                                         The second chapter deep dives in one exemplary model and
                                         describes implementation strategies for each physiological sys-
                                         tems. More precisely, lattice-Boltzmann methods are presented
                                         for computational fluid dynamics and electrophysiology. Graph-
                                         based approaches for real-time cardiac electrophysiology simula-
                                         tions are also detailed. A computationally efficient finite element
                                         method for modeling soft tissue deformations, based on the To-
                                         tal Lagrangian Explicit Dynamics framework, is introduced for
                                         the computation of bi-ventricular electromechanics. Finally, the
                                         chapter closes with an integration strategy to efficiently perform
                                         fluid-structure interaction simulations.


                                         Part 2: Artificial intelligence methods for cardiac modeling
                                         Chapter 3: Learning cardiac anatomy. The first step in patient-
                                         specific modeling is the fast and robust parsing of the cardio-
                                         vascular anatomy from medical images. This task usually in-
                                         volves detecting, segmenting and tracking anatomical structures
                                         or pathologies in the human heart. Current approaches are based
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