Corti, Mattia; Bonizzoni, Francesca; Dede’, Luca; Quarteroni, Alfio M.; Antonietti, Paola F. Discontinuous Galerkin methods for Fisher-Kolmogorov equation with application to \(\alpha\)-synuclein spreading in Parkinson’s disease. (English) Zbl 07805002 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116450, 17 p. (2023). MSC: 65-XX 92-XX PDFBibTeX XMLCite \textit{M. Corti} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116450, 17 p. (2023; Zbl 07805002) Full Text: DOI arXiv
Quarteroni, Alfio; Dede’, Luca; Regazzoni, Francesco; Vergara, Christian A mathematical model of the human heart suitable to address clinical problems. (English) Zbl 07749862 Japan J. Ind. Appl. Math. 40, No. 3, 1547-1567 (2023). MSC: 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Japan J. Ind. Appl. Math. 40, No. 3, 1547--1567 (2023; Zbl 07749862) Full Text: DOI
Fedele, Marco; Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Africa, Pasquale Claudio; Bucelli, Michele; Zingaro, Alberto; Dede’, Luca; Quarteroni, Alfio A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. (English) Zbl 07737566 Comput. Methods Appl. Mech. Eng. 410, Article ID 115983, 45 p. (2023). MSC: 92-XX 74-XX PDFBibTeX XMLCite \textit{M. Fedele} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 115983, 45 p. (2023; Zbl 07737566) Full Text: DOI arXiv
Bucelli, Michele; Gabriel, Martin Geraint; Quarteroni, Alfio; Gigante, Giacomo; Vergara, Christian A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction. (English) Zbl 07715255 J. Comput. Phys. 490, Article ID 112326, 24 p. (2023). MSC: 92Cxx 74Fxx 65Mxx PDFBibTeX XMLCite \textit{M. Bucelli} et al., J. Comput. Phys. 490, Article ID 112326, 24 p. (2023; Zbl 07715255) Full Text: DOI arXiv
Barnafi Wittwer, Nicolás Alejandro; Gregorio, Simone Di; Dede’, Luca; Zunino, Paolo; Vergara, Christian; Quarteroni, Alfio A multiscale poromechanics model integrating myocardial perfusion and the epicardial coronary vessels. (English) Zbl 1497.92071 SIAM J. Appl. Math. 82, No. 4, 1167-1193 (2022). MSC: 92C35 92C10 74F10 35Q92 PDFBibTeX XMLCite \textit{N. A. Barnafi Wittwer} et al., SIAM J. Appl. Math. 82, No. 4, 1167--1193 (2022; Zbl 1497.92071) Full Text: DOI
Quarteroni, Alfio; Dedè, Luca; Regazzoni, Francesco Modeling the cardiac electromechanical function: a mathematical journey. (English) Zbl 07541857 Bull. Am. Math. Soc., New Ser. 59, No. 3, 371-403 (2022). MSC: 65-02 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Bull. Am. Math. Soc., New Ser. 59, No. 3, 371--403 (2022; Zbl 07541857) Full Text: DOI
Piersanti, Roberto; Regazzoni, Francesco; Salvador, Matteo; Corno, Antonio F.; Dede’, Luca; Vergara, Christian; Quarteroni, Alfio 3D-0D closed-loop model for the simulation of cardiac biventricular electromechanics. (English) Zbl 1507.74234 Comput. Methods Appl. Mech. Eng. 391, Article ID 114607, 29 p. (2022). MSC: 74L15 74F15 PDFBibTeX XMLCite \textit{R. Piersanti} et al., Comput. Methods Appl. Mech. Eng. 391, Article ID 114607, 29 p. (2022; Zbl 1507.74234) Full Text: DOI arXiv
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 PDFBibTeX XMLCite \textit{N. Dal Santo} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251--277 (2021; Zbl 1477.65157) Full Text: DOI
Bucelli, Michele; Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio Multipatch isogeometric analysis for electrophysiology: simulation in a human heart. (English) Zbl 1506.74391 Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021). MSC: 74S05 74L15 65N30 65D07 74S22 92C30 PDFBibTeX XMLCite \textit{M. Bucelli} et al., Comput. Methods Appl. Mech. Eng. 376, Article ID 113666, 31 p. (2021; Zbl 1506.74391) Full Text: DOI
Piersanti, Roberto; Africa, Pasquale C.; Fedele, Marco; Vergara, Christian; Dedè, Luca; Corno, Antonio F.; Quarteroni, Alfio Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. (English) Zbl 1506.74211 Comput. Methods Appl. Mech. Eng. 373, Article ID 113468, 33 p. (2021). MSC: 74L15 74F15 92C30 PDFBibTeX XMLCite \textit{R. Piersanti} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113468, 33 p. (2021; Zbl 1506.74211) Full Text: DOI arXiv
Salvador, Matteo; Dede’, Luca; Quarteroni, Alfio An intergrid transfer operator using radial basis functions with application to cardiac electromechanics. (English) Zbl 1462.74178 Comput. Mech. 66, No. 2, 491-511 (2020). MSC: 74S99 74L15 74F15 92C10 PDFBibTeX XMLCite \textit{M. Salvador} et al., Comput. Mech. 66, No. 2, 491--511 (2020; Zbl 1462.74178) Full Text: DOI
Dede’, L.; Gerbi, A.; Quarteroni, A. Segregated algorithms for the numerical simulation of cardiac electromechanics in the left human ventricle. (English) Zbl 1446.74210 Ambrosi, Davide (ed.) et al., The mathematics of mechanobiology. Cetraro, Italy, August 27–31, 2018. Lecture notes given at the CIME course. Cham: Springer. Lect. Notes Math. 2260, 81-116 (2020). MSC: 74S05 74S20 74L15 74F15 92-08 92C10 PDFBibTeX XMLCite \textit{L. Dede'} et al., Lect. Notes Math. 2260, 81--116 (2020; Zbl 1446.74210) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003 Comput. Methods Appl. Mech. Eng. 340, 530-558 (2018). MSC: 92-08 65M60 92C30 PDFBibTeX XMLCite \textit{S. Pagani} et al., Comput. Methods Appl. Mech. Eng. 340, 530--558 (2018; Zbl 1440.92003) Full Text: DOI Link
Quarteroni, Alfio; Lassila, Toni; Rossi, Simone; Ruiz-Baier, Ricardo Integrated heart – coupling multiscale and multiphysics models for the simulation of the cardiac function. (English) Zbl 1439.74208 Comput. Methods Appl. Mech. Eng. 314, 345-407 (2017). MSC: 74L15 76Z05 92C10 65M60 35Q92 74B20 74F10 74F25 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Comput. Methods Appl. Mech. Eng. 314, 345--407 (2017; Zbl 1439.74208) Full Text: DOI
Bonomi, Diana; Manzoni, Andrea; Quarteroni, Alfio A matrix DEIM technique for model reduction of nonlinear parametrized problems in cardiac mechanics. (English) Zbl 1439.74394 Comput. Methods Appl. Mech. Eng. 324, 300-326 (2017). MSC: 74S05 65N30 74L15 92C10 PDFBibTeX XMLCite \textit{D. Bonomi} et al., Comput. Methods Appl. Mech. Eng. 324, 300--326 (2017; Zbl 1439.74394) Full Text: DOI Link
Quarteroni, A.; Manzoni, A.; Vergara, C. The cardiovascular system: mathematical modelling, numerical algorithms and clinical applications. (English) Zbl 1376.92016 Acta Numerica 26, 365-590 (2017). MSC: 92C30 92-08 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Acta Numerica 26, 365--590 (2017; Zbl 1376.92016) Full Text: DOI
Andreianov, Boris; Bendahmane, Mostafa; Quarteroni, Alfio; Ruiz-Baier, Ricardo Solvability analysis and numerical approximation of linearized cardiac electromechanics. (English) Zbl 1309.74049 Math. Models Methods Appl. Sci. 25, No. 5, 959-993 (2015). MSC: 74L10 74F15 74S05 35K57 92C10 65M60 PDFBibTeX XMLCite \textit{B. Andreianov} et al., Math. Models Methods Appl. Sci. 25, No. 5, 959--993 (2015; Zbl 1309.74049) Full Text: DOI
Rossi, Simone; Lassila, Toni; Ruiz-Baier, Ricardo; Sequeira, Adélia; Quarteroni, Alfio Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics. (English) Zbl 1406.74503 Eur. J. Mech., A, Solids 48, 129-142 (2014). MSC: 74L15 92C10 92C30 74F25 PDFBibTeX XMLCite \textit{S. Rossi} et al., Eur. J. Mech., A, Solids 48, 129--142 (2014; Zbl 1406.74503) Full Text: DOI Link
Pezzuto, Simone; Ambrosi, Davide; Quarteroni, Alfio An orthotropic active-strain model for the myocardium mechanics and its numerical approximation. (English) Zbl 1406.74502 Eur. J. Mech., A, Solids 48, 83-96 (2014). MSC: 74L15 92C30 65N30 74F15 PDFBibTeX XMLCite \textit{S. Pezzuto} et al., Eur. J. Mech., A, Solids 48, 83--96 (2014; Zbl 1406.74502) Full Text: DOI
Nobile, F.; Quarteroni, A.; Ruiz-Baier, R. An active strain electromechanical model for cardiac tissue. (English) Zbl 1242.92016 Int. J. Numer. Methods Biomed. Eng. 28, No. 1, 52-71 (2012). MSC: 92C30 92C05 78A70 92C10 35K57 65N30 35Q92 PDFBibTeX XMLCite \textit{F. Nobile} et al., Int. J. Numer. Methods Biomed. Eng. 28, No. 1, 52--71 (2012; Zbl 1242.92016) Full Text: DOI Link