Mathematical and Numerical Modeling of the Cardiovascular System and Applications

Description

The book comprises contributions by some of the most respected scientists in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. It covers a wide range of topics, from the assimilation of clinical data to the development of mathematical and computational models, including with parameters, as well as their efficient numerical solution, and both in-vivo and in-vitro validation. It also considers applications of relevant clinical interest. This book is intended for graduate students and researchers in the field of bioengineering, applied mathematics, computer, computational and data science, and medicine wishing to become involved in the highly fascinating task of modeling the cardiovascular system. Front Matter ....Pages i-xii A Distributed Lagrange Formulation of the Finite Element Immersed Boundary Method for Fluids Interacting with Compressible Solids (Daniele Boffi, Lucia Gastaldi, Luca Heltai)....Pages 1-21 High-Order Operator-Splitting Methods for the Bidomain and Monodomain Models (Jessica Cervi, Raymond J. Spiteri)....Pages 23-40 Electro-Mechanical Modeling and Simulation of Reentry Phenomena in the Presence of Myocardial Infarction (Piero Colli Franzone, Luca F. Pavarino, Simone Scacchi)....Pages 41-73 Ergotropic Effect in Cardiac Tissue After Electromagnetic and β-Adrenergic Stimulus (Lorenzo Fassina, Marisa Cornacchione, Maria Evelina Mognaschi, Giovanni Magenes, Fabio Naro)....Pages 75-85 Role of Electrotonic Current in Excitable Cells (Emilio Macchi, Ezio Musso, Stefano Rossi)....Pages 87-114 Reduced Order Modeling for Cardiac Electrophysiology and Mechanics: New Methodologies, Challenges and Perspectives (Andrea Manzoni, Diana Bonomi, Alfio Quarteroni)....Pages 115-166 Aortic Endovascular Surgery (Michele Conti, Simone Morganti, Alice Finotello, Rodrigo M. Romarowski, Alessandro Reali, Ferdinando Auricchio)....Pages 167-184 Combined Parameter and Model Reduction of Cardiovascular Problems by Means of Active Subspaces and POD-Galerkin Methods (Marco Tezzele, Francesco Ballarin, Gianluigi Rozza)....Pages 185-207 Extended Finite Elements Method for Fluid-Structure Interaction with an Immersed Thick Non-linear Structure (Christian Vergara, Stefano Zonca)....Pages 209-243