Reduced Order Models for the Biomechanics of Living Organs

Table of Contents

Part 1: Backgrounds and Fundamentals of Reduced Order Models 1. An introduction to Model Order Reduction Techniques 2. Linear and nonlinear dimensionality reduction of biomechanical models 3. Shape parameterizations for reduced order modeling in biophysics 4. Data-driven modelling and artificial intelligence 5. Deep Learning for Real-Time Computational Biomechanics 6. An introduction to Pod-Greedy-Galerkin reduced basis method 7. Machine learning and biophysical models: how to benefit each other?

Part 2: Applications to Computational Fluid Biomechanics 8. Fast and accurate numerical simulations for the study of coronary artery� bypass grafts� by artificial neural network 9. Reduced Order Models for Fluid inside Aneurysms using Proper Orthogonal Decomposition 10. Isogeometric Hierarchical Model Reduction for advection-diffusion process simulation in microchannels 11. Fast closed-loop CFD model for patient-specific aortic dissection management 12. Reduced order modelling for direct and inverse problems in haemodynamics

Part 3: Applications to Computational Solid Biomechanics and living tissues 13. Model Order Reduction of a 3D biome-chanical tongue model: a necessary step for quantitative evaluation of models of speech motor control and planning 14. Deep learning contributions for reducing the complexity of prostate biomechanical models 15. Reduced Mechanical model of trunk-lumbar belt interaction for design-oriented in-silico clinical trials 16. ROM-based patient-specific structural analysis of vertebrae affected by metastasis 17. Reduced Order Models for Prediction of Successful Course of Vaginal Delivery 18. Modeling and simulation of a realistic knee joint using biphasic materials by the means of the proper generalized decomposition 19. Comparison of three machine learning methods to estimate myocardial stiffness

Part 4: Applications to Biomechanical Electrophysiology, Image processing and Surgical protocols 20. Real-time numerical prediction of strain localization using dictionary-based ROM-nets for sitting-acquired deep tissue injury prevention 21. Reduced order modeling of the cardiac function across the scales 22. Surgery simulators based on model order reduction

Authors

Francisco Chinesta Full Professor, ENSAM ParisTech, Paris, France. Francisco Chinesta is currently a full Professor of computational physics at ENSAM ParisTech (Paris, France). He was (2008-2012) an AIRBUS Group chair professor. He is an honorary fellow of the "Institut Universitaire de France�, plus a Fellow of the Spanish Royal Academy of Engineering. He has received many scientific awards in four different fields: bio-engineering, material forming processes, rheology, and computational mechanics. He is the author of 300 papers in peer-reviewed international journals and has made more than 600 contributions in conferences.

He is the president of the French association of computational mechanics (CSMA) and director of the CNRS research group on model order reduction techniques in engineering sciences. He is an editor and associate editor of many journals. Since 2013 he has been ESI chair professor on advanced modeling and simulation of materials, structures, processes and systems, and he is the president of ESI Group Scientific Committee. Elias Cueto Professor, Universidad de Zaragoza, Zaragoza, Aragon, Spain. Elias Cueto is a Professor of continuum and computational mechanics, Universidad de Zaragoza. His research interests include

the development of numerical methods for computational mechanics in its broadest sense. He has worked on finite element and meshless methods or model order reduction techniques, with applications on forming process simulation, real-time simulation, haptics, computational surgery, and, more recently, on data-intensive computational mechanics and Augmented/Mixed Reality. He has more than 100 articles in leading peer reviewed journals and has worked on 8 books. He is an editor for the International Journal of Material Forming and the ESAFORM book series on Material Forming with Springer. He is on 7 editorial boards for journals. Yohan Payan TIMC-CNRS laboratory, Biomechanics team, Univ. Grenoble Alpes, France.

Yohan Payan is Director of Research at the French National Center for Scientific Research (CNRS). In 1997, he received an award from the University of Grenoble for his doctoral research on the biomechanics of speech production. In 2012, the French Biomechanics Society awarded him the Senior Prize for his research on the biomechanics for computer-assisted surgery. His main research interests concern the biomechanical modeling of soft tissues and their integration into medical devices used to assist surgeons for planning or to guide them during surgery. The corresponding applications concern plastic and maxillofacial surgery, breast cancer treatment, neurosurgery, orthopedics and pressure ulcer prevention, based on organs or musculoskeletal models. He was a Research Affiliate at the Massachusetts Institute of Technology (1999, Boston, USA) and visiting professor at University of Chile (2004, Santiago de Chile) and University of British Columbia (2010, Vancouver, Canada). Yohan Payan is the co-head of the Biomechanics TIMC research team (Univ. Grenoble Alpes) and the Associate Editor of the Clinical Biomechanics journal (Elsevier).

Jacques Ohayon Polytech Annecy/Chamb�ry, Univ. Savoie Mont-Blanc, and researcher at TIMC-CNRS laboratory, Biomechanics team, Univ. Grenoble-Alpes, France.

Jacques Ohayon is Professor of Mechanics at the Engineering school Polytech, Univ. Savoie Mont-Blanc, France. From 1985 to 1988, he was visiting fellow at the Biomedical Engineering Branch of the National Institutes of Health (NIH), Bethesda MD, USA. He received the 1998 Junior Prize of the French Biomechanics Society (SB) for his research on the biomechanics of the left ventricle. His current research focuses on the biomechanics of atherosclerotic plaque and the development of new clinical tools for imaging the elasticity of vulnerable plaques. From 2006 to 2007, he was visiting professor at the National Institute of Biomedical Imaging and Bioengineering at the NIH, USA. Jacques Ohayon was the Chairman of the SB, which also awarded him the Senior Prize in 2016 for his work on the biomechanics of coronary plaque rupture. In 2020, he was a visiting professor at Texas A & M University and conducted his research in the field of endothelial cell mechanobiology at the Houston Methodist Research Institute (HMRI). Since 2020, he is also Adjunct Professor of Cardiovascular Sciences at HMRI, Texas, USA.