References#
This page lists every reference in docs/refs.bib,
including those that are not cited from any of the demos. Each demo also
repeats the subset of references it cites at the bottom of its own page.
Davide Ambrosi and Simone Pezzuto. Active stress vs. active strain in mechanobiology: constitutive issues. Journal of Elasticity, 107(2):199–212, 2012. doi:10.1007/s10659-011-9351-4.
Reidmen Aróstica, David Nolte, Aaron Brown, Amadeus Gebauer, Elias Karabelas, Javiera Jilberto, Matteo Salvador, Michele Bucelli, Roberto Piersanti, Kasra Osouli, and others. A software benchmark for cardiac elastodynamics. Computer Methods in Applied Mechanics and Engineering, 435:117485, 2025. doi:10.1016/j.cma.2024.117485.
NA Barnafi, Francesco Regazzoni, and Davide Riccobelli. Reconstructing relaxed configurations in elastic bodies: mathematical formulations and numerical methods for cardiac modeling. Computer Methods in Applied Mechanics and Engineering, 423:116845, 2024. doi:10.1016/j.cma.2024.116845.
Jason D Bayer, Robert C Blake, Gernot Plank, and Natalia A Trayanova. A novel rule-based algorithm for assigning myocardial fiber orientation to computational heart models. Annals of Biomedical Engineering, 40(10):2243–2254, 2012. doi:10.1007/s10439-012-0593-5.
Julie Bestel, Frédérique Clément, and Michel Sorine. A biomechanical model of muscle contraction. In Medical Image Computing and Computer-Assisted Intervention–MICCAI 2001: 4th International Conference Utrecht, The Netherlands, October 14–17, 2001 Proceedings 4, 1159–1161. Springer, 2001. doi:10.1007/3-540-45468-3_143.
Manuel D Cerqueira, Neil J Weissman, Vasken Dilsizian, Alice K Jacobs, Sanjiv Kaul, Warren K Laskey, Dudley J Pennell, John A Rumberger, Thomas Ryan, and Mario S Verani. Standardized myocardial segmentation and nomenclature for tomographic imaging of the heart. Circulation, 105(4):539–542, 2002. doi:10.1161/hc0402.102975.
Ruben Doste, David Soto-Iglesias, Gabriel Bernardino, Alejandro Alcaine, Rafael Sebastian, Sophie Giffard-Roisin, Maxime Sermesant, Antonio Berruezo, Damian Sanchez-Quintana, and Oscar Camara. A rule-based method to model myocardial fiber orientation in cardiac biventricular geometries with outflow tracts. International Journal for Numerical Methods in Biomedical Engineering, 35(4):e3185, 2019. doi:10.1002/cnm.3185.
Silvano Erlicher, Luca Bonaventura, and Oreste S Bursi. The analysis of the generalized-α method for non-linear dynamic problems. Computational mechanics, 28(2):83–104, 2002. doi:10.1007/s00466-001-0273-z.
Julius M Guccione, Andrew D McCulloch, and Lewis K Waldman. Passive material properties of intact ventricular myocardium determined from a cylindrical model. Journal of Biomechanical Engineering, 113(1):42–55, 1991. doi:10.1115/1.2894084.
Gerhard A Holzapfel. Nonlinear solid mechanics: a continuum approach for engineering. John Wiley & Sons, Chichester, 2000. ISBN 9780471823193.
Gerhard A Holzapfel and Ray W Ogden. Constitutive modelling of passive myocardium: a structurally based framework for material characterization. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1902):3445–3475, 2009. doi:10.1098/rsta.2009.0091.
Sander Land, Viatcheslav Gurev, Sander Arens, Christoph M Augustin, Lukas Baron, Robert Blake, Chris Bradley, Sebastian Castro, Andrew Crozier, Marco Favino, and others. Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 471(2184):20150641, 2015. doi:10.1098/rspa.2015.0641.
Sander Land, So-Jin Park-Holohan, Nicolas P Smith, Cristobal G Dos Remedios, Jonathan C Kentish, and Steven A Niederer. A model of cardiac contraction based on novel measurements of tension development in human cardiomyocytes. Journal of molecular and cellular cardiology, 106:68–83, 2017. doi:10.1016/j.yjmcc.2017.03.008.
Alexandre Lewalle, Gregory Milburn, Kenneth S Campbell, and Steven A Niederer. Cardiac length-dependent activation driven by force-dependent thick-filament dynamics. Biophysical Journal, 123(18):2996–3009, 2024. doi:10.1016/j.bpj.2024.05.025.
Francesco Regazzoni, Luca Dedè, and Alfio Quarteroni. Active contraction of cardiac cells: a reduced model for sarcomere dynamics with cooperative interactions. Biomechanics and Modeling in Mechanobiology, 17(6):1663–1686, 2018. doi:10.1007/s10237-018-1049-0.
Francesco Regazzoni, Luca Dedè, and Alfio Quarteroni. Biophysically detailed mathematical models of multiscale cardiac active mechanics. PLOS Computational Biology, 16(10):e1008294, 2020. doi:10.1371/journal.pcbi.1008294.
Francesco Regazzoni and Alfio Quarteroni. An oscillation-free fully staggered algorithm for velocity-dependent active models of cardiac mechanics. Computer Methods in Applied Mechanics and Engineering, 373:113506, 2021. doi:10.1016/j.cma.2020.113506.
Francesco Regazzoni, Matteo Salvador, Pasquale Claudio Africa, Marco Fedele, Luca Dedè, and Alfio Quarteroni. A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. Journal of Computational Physics, 457:111083, 2022. doi:10.1016/j.jcp.2022.111083.
M. Sellier. An iterative method for the inverse elasto-static problem. Journal of Fluids and Structures, 27(8):1461–1470, 2011. URL: https://www.sciencedirect.com/science/article/pii/S088997461100123X, doi:10.1016/j.jfluidstructs.2011.08.002.
Jakub Tomek, Alfonso Bueno-Orovio, Elisa Passini, Xin Zhou, Ana Minchole, Oliver Britton, Chiara Bartolucci, Stefano Severi, Alvin Shrier, Laszlo Virag, and others. Development, calibration, and validation of a novel human ventricular myocyte model in health, disease, and drug block. Elife, 8:e48890, 2019. doi:10.7554/eLife.48890.
Taras P Usyk, Ian J LeGrice, and Andrew D McCulloch. Computational model of three-dimensional cardiac electromechanics. Computing and visualization in science, 4(4):249–257, 2002. doi:10.1007/s00791-002-0081-9.