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6  Chapter 1 Multi-scale models of the heart for patient-specific simulations




                                         ing computed based on dogs hearts [53] or human hearts [54].
                                         Alternatively, rule-based models have been developed, based on
                                         ex-vivo studies [49,55–57], and still widely used (see Fig. 1.3).


















                                         Figure 1.3. Example of heart fiber model computed using rule-based approach on
                                         a patient-specific heart anatomy.

                                            The last element for a comprehensive anatomical model is sub-
                                         strate. Diseases can significantly affect the cellular structure of the
                                         myocardium tissue [42]. Fibrotic tissue can accumulate between
                                         the myocytes (cells that form the myocardium and are responsible
                                         for the active contraction), which makes the overall tissue stiffer
                                         and electrically impaired. The myocardium could also suffer from
                                         infarction due to the lack of blood perfusion, as a consequence
                                         of coronary artery disease. The infarcted area is physiologically
                                         inactive, namely not electrically conductive nor contracting. This
                                         can impact the function of neighboring tissue as well as the heart
                                         overall. Both fibrosis and infarct scar are therefore crucial to cap-
                                         ture for precise modeling in diseased hearts. MRI is the modality
                                         of choice to visualize scars and fibrosis. One can use for instance
                                         delayed-enhancement MRI, with gadolinium injection, to image
                                         fibrosis and scar (see Fig. 1.4). The region is segmented by an ex-
                                         pert or using image processing algorithms, and included into the
                                         anatomical model. Chapter 2 gives more details on how this is
                                         done in practice.


                                         1.2 Electrophysiology modeling

                                            Heart function is determined by the coordinated, rhythmic
                                         contraction of the chambers, displacing blood to the body. Such
                                         coordination requires an effective activation system that ensures
                                         synchronized contraction. This functionality is achieved through
                                         the cardiac electrical system, and is called electrophysiology (EP).
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