{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,24]],"date-time":"2026-02-24T10:45:57Z","timestamp":1771929957546,"version":"3.50.1"},"reference-count":89,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T00:00:00Z","timestamp":1697155200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T00:00:00Z","timestamp":1697155200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100010662","name":"H2020 Excellent Science","doi-asserted-by":"publisher","award":["740132"],"award-info":[{"award-number":["740132"]}],"id":[{"id":"10.13039\/100010662","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["BMC Bioinformatics"],"abstract":"<jats:title>Abstract<\/jats:title><jats:sec><jats:title>Background<\/jats:title><jats:p>Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational tools. Despite the dedicated endeavors of various research teams, comprehensive and user-friendly software programs for cardiac simulations, capable of accurately replicating both normal and pathological conditions, are still in the process of achieving full maturity within the scientific community.<\/jats:p><\/jats:sec><jats:sec><jats:title>Results<\/jats:title><jats:p>This work introduces<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, a publicly available software for numerical simulations of the electrophysiology activity of the cardiac muscle, under both normal and pathological conditions.<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>employs the monodomain equation to model the heart\u2019s electrical activity. It incorporates both phenomenological and second-generation ionic models. These models are discretized using the Finite Element method on tetrahedral or hexahedral meshes. Additionally,<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>integrates the generation of myocardial fibers based on Laplace\u2013Dirichlet Rule-Based Methods, previously released in Africa et al., 2023, within<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. As an alternative, users can also choose to import myofibers from a file. This paper provides a concise overview of the mathematical models and numerical methods underlying<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>, along with comprehensive implementation details and instructions for users.<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>features exceptional parallel speedup, scaling efficiently when using up to thousands of cores, and its implementation has been verified against an established benchmark problem for computational electrophysiology. We showcase the key features of<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>through various idealized and realistic simulations conducted in both normal and pathological scenarios. Furthermore, the software offers a user-friendly and flexible interface, simplifying the setup of simulations using self-documenting parameter files.<\/jats:p><\/jats:sec><jats:sec><jats:title>Conclusions<\/jats:title><jats:p><jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>provides easy access to cardiac electrophysiology simulations for a wide user community. It offers a computational tool that integrates models and accurate methods for simulating cardiac electrophysiology within a high-performance framework, while maintaining a user-friendly interface.<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\texttt {life}^{\\text{x}}$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:msup><mml:mi>life<\/mml:mi><mml:mtext>x<\/mml:mtext><\/mml:msup><\/mml:math><\/jats:alternatives><\/jats:inline-formula>represents a valuable tool for conducting in silico patient-specific simulations.<\/jats:p><\/jats:sec>","DOI":"10.1186\/s12859-023-05513-8","type":"journal-article","created":{"date-parts":[[2023,10,13]],"date-time":"2023-10-13T03:23:34Z","timestamp":1697167414000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["lifex-ep: a robust and efficient software for cardiac electrophysiology simulations"],"prefix":"10.1186","volume":"24","author":[{"given":"Pasquale Claudio","family":"Africa","sequence":"first","affiliation":[]},{"given":"Roberto","family":"Piersanti","sequence":"additional","affiliation":[]},{"given":"Francesco","family":"Regazzoni","sequence":"additional","affiliation":[]},{"given":"Michele","family":"Bucelli","sequence":"additional","affiliation":[]},{"given":"Matteo","family":"Salvador","sequence":"additional","affiliation":[]},{"given":"Marco","family":"Fedele","sequence":"additional","affiliation":[]},{"given":"Stefano","family":"Pagani","sequence":"additional","affiliation":[]},{"given":"Luca","family":"Dede\u2019","sequence":"additional","affiliation":[]},{"given":"Alfio","family":"Quarteroni","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,13]]},"reference":[{"key":"5513_CR1","volume-title":"Principles of anatomy and physiology","author":"GJ Tortora","year":"2008","unstructured":"Tortora GJ, Derrickson BH. Principles of anatomy and physiology. London: Wiley; 2008."},{"key":"5513_CR2","volume-title":"Physiology of the heart","author":"AM Katz","year":"2010","unstructured":"Katz AM. Physiology of the heart. Wilkins: Lippincott Williams; 2010."},{"key":"5513_CR3","volume-title":"Cardiovascular physiology concepts","author":"R Klabunde","year":"2011","unstructured":"Klabunde R. Cardiovascular physiology concepts. Wilkins: Lippincott Williams; 2011."},{"key":"5513_CR4","unstructured":"Harrington RA, Narula J, Eapen ZJ. Hurst\u2019s the Heart. MacGraw-Hill 2011."},{"key":"5513_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/9781108616096","volume-title":"Mathematical modelling of the human cardiovascular system: data, numerical approximation","author":"A Quarteroni","year":"2019","unstructured":"Quarteroni A, Dede\u2019 L, Manzoni A, Vergara C. Mathematical modelling of the human cardiovascular system: data, numerical approximation. Clinical Applications: Cambridge University Press; 2019."},{"key":"5513_CR6","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1038\/s41569-018-0104-y","volume":"16","author":"SA Niederer","year":"2019","unstructured":"Niederer SA, Lumens J, Trayanova NA. Computational models in cardiology. Nat Rev Cardiol. 2019;16:100\u201311.","journal-title":"Nat Rev Cardiol"},{"issue":"48","key":"5513_CR7","doi-asserted-by":"publisher","first-page":"4556","DOI":"10.1093\/eurheartj\/ehaa159","volume":"41","author":"J Corral-Acero","year":"2020","unstructured":"...Corral-Acero J, Margara F, Marciniak M, Rodero C, Loncaric F, Feng Y, Gilbert A, Fernandes JF, Bukhari HA, Wajdan A, Martinez MV, Santos MS, Shamohammdi M, Luo H, Westphal P, Leeson P, DiAchille P, Gurev V, Mayr M, Geris L, Pathmanathan P, Morrison T, Cornelussen R, Prinzen F, Delhaas T, Doltra A, Sitges M, Vigmond EJ, Zacur E, Grau V, Rodriguez B, Remme EW, Niederer S, Mortier P, McLeod K, Potse M, Pueyo E, Bueno-Orovio A, Lamata P. The \u201cDigital Twin\u201d to enable the vision of precision cardiology. Eur Heart J. 2020;41(48):4556\u201364.","journal-title":"Eur Heart J"},{"key":"5513_CR8","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1007\/s10237-021-01421-z","volume":"20","author":"M Peirlinck","year":"2021","unstructured":"Peirlinck M, Costabal FS, Yao J, Guccione JM, Tripathy S, Wang YS, Ozturk D, Segars P, Morrison TM, Levine S. Precision medicine in human heart modeling. Biomech Model Mechanobiol. 2021;20:803\u201331.","journal-title":"Biomech Model Mechanobiol"},{"key":"5513_CR9","doi-asserted-by":"publisher","first-page":"11437","DOI":"10.1038\/ncomms11437","volume":"7","author":"HJ Arevalo","year":"2016","unstructured":"Arevalo HJ, Vadakkumpadan F, Guallar E, Jebb A, Malamas P, Wu KC, Trayanova NA. Arrhythmia risk stratification of patients after myocardial infarction using personalized heart models. Nat Commun. 2016;7:11437.","journal-title":"Nat Commun"},{"key":"5513_CR10","doi-asserted-by":"publisher","first-page":"732","DOI":"10.1038\/s41551-018-0282-2","volume":"2","author":"A Prakosa","year":"2018","unstructured":"Prakosa A, Arevalo HJ, Deng D, Boyle PM, Nikolov PP, Ashikaga H, Blauer JJE, Ghafoori E, Park CJ, Blake RC, Han FT, MacLeod RS, Halperin HR, Callans DJ, Ranjan R, Chrispin J, Nazarian S, Trayanova NA. Personalized virtual-heart technology for guiding the ablation of infarct-related ventricular tachycardia. Nat Biomed Eng. 2018;2:732\u201340.","journal-title":"Nat Biomed Eng"},{"key":"5513_CR11","doi-asserted-by":"crossref","unstructured":"Strocchi M, Lee AWC, Neic A, Bouyssier J, Gillette K, Plank G, Elliott MK, Gould J, Behar JM, Sidhu B, Mehta V, Bishop MJ, Vigmond EJ, Rinaldi CA, Niederer SA: His-bundle and left bundle pacing with optimized atrioventricular delay achieve superior electrical synchrony over endocardial and epicardial pacing in left bundle branch block patients. Heart Rhythm 1922-1929 (2020)","DOI":"10.1016\/j.hrthm.2020.06.028"},{"key":"5513_CR12","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2022.102483","volume":"80","author":"FO Campos","year":"2022","unstructured":"Campos FO, Neic A, Mendonca Costa C, Whitaker J, O\u2019Neill M, Razavi R, Rinaldi CA, Scherr D, Niederer SA, Plank G, Bishop MJ. An automated near-real time computational method for induction and treatment of scar-related ventricular tachycardias. Med Image Anal. 2022;80: 102483.","journal-title":"Med Image Anal"},{"key":"5513_CR13","doi-asserted-by":"publisher","DOI":"10.1016\/j.softx.2022.101252","volume":"20","author":"PC Africa","year":"2022","unstructured":"Africa PC. lifex: a flexible, high performance library for the numerical solution of complex finite element problems. SoftwareX. 2022;20: 101252.","journal-title":"SoftwareX"},{"key":"5513_CR14","doi-asserted-by":"crossref","unstructured":"Arndt D, Bangerth W, Blais B, Fehling M, Gassm\u00f6ller R, Heister T, Heltai L, K\u00f6cher U, Kronbichler M, Maier M, Munch P, Pelteret JP, Proell S, Konrad S, Turcksin B, Wells D, Zhang J. The dealII library, version 9.3. J Numer Math 2021; 29(3), 171\u2013186.","DOI":"10.1515\/jnma-2021-0081"},{"issue":"1","key":"5513_CR15","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1186\/s12859-023-05260-w","volume":"24","author":"PC Africa","year":"2023","unstructured":"Africa PC, Piersanti R, Fedele M, Dede\u2019 L, Quarteroni A. lifex-fiber: an open tool for myofibers generation in cardiac computational models. BMC Bioinformatics. 2023;24(1):143.","journal-title":"BMC Bioinformatics"},{"key":"5513_CR16","doi-asserted-by":"crossref","unstructured":"Africa PC, Fumagalli I, Bucelli M, Zingaro A, Fedele M, Dede\u2019 L, Quarteroni A. lifex-cfd: an open-source computational fluid dynamics solver for cardiovascular applications. arXiv preprint arXiv:2304.12032v3 2023.","DOI":"10.1016\/j.cpc.2023.109039"},{"key":"5513_CR17","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113468","volume":"373","author":"R Piersanti","year":"2021","unstructured":"Piersanti R, Africa PC, Fedele M, Vergara C, Dede\u2019 L, Corno AF, Quarteroni A. Modeling cardiac muscle fibers in ventricular and atrial electrophysiology simulations. Comput Methods Appl Mech Eng. 2021;373: 113468.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"5513_CR18","doi-asserted-by":"crossref","unstructured":"Pagani S, Dede\u2019 L, Frontera A, Salvador M, Limite LR, Manzoni A, Lipartiti F, Tsitsinakis G, Hadjis A, Della\u00a0Bella P, Quarteroni A. A computational study of the electrophysiological substrate in patients suffering from atrial fibrillation. Front Physiol 12,2021.","DOI":"10.3389\/fphys.2021.673612"},{"key":"5513_CR19","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2023.111984","volume":"478","author":"PC Africa","year":"2023","unstructured":"Africa PC, Salvador M, Gervasio P, Dede\u2019 L, Quarteroni A. A matrix-free high-order solver for the numerical solution of cardiac electrophysiology. J Comput Phys. 2023;478: 111984.","journal-title":"J Comput Phys"},{"key":"5513_CR20","doi-asserted-by":"crossref","unstructured":"Salvador M, Regazzoni F, Pagani S, Dede\u2019 L, Trayanova N, Quarteroni A. The role of mechano-electric feedbacks and hemodynamic coupling in scar-related ventricular tachycardia. Comput Biol Med 2022; 105203.","DOI":"10.1016\/j.compbiomed.2021.105203"},{"issue":"2","key":"5513_CR21","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/s10915-022-02001-8","volume":"93","author":"L Cicci","year":"2022","unstructured":"Cicci L, Fresca S, Manzoni A. Deep-hyromnet: a deep learning-based operator approximation for hyper-reduction of nonlinear parametrized pdes. J Sci Comput. 2022;93(2):57.","journal-title":"J Sci Comput"},{"key":"5513_CR22","doi-asserted-by":"crossref","unstructured":"Cicci L, Fresca S, Manzoni A, Quarteroni A. Efficient approximation of cardiac mechanics through reduced order modeling with deep learning-based operator approximation. arXiv preprint arXiv:2202.03904 2022.","DOI":"10.1002\/cnm.3783"},{"issue":"2","key":"5513_CR23","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3934\/mine.2023026","volume":"5","author":"L Cicci","year":"2022","unstructured":"Cicci L, Fresca S, Pagani S, Manzoni A, Quarteroni A. Projection-based reduced order models for parameterized nonlinear time-dependent problems arising in cardiac mechanics. Math Eng. 2022;5(2):1\u201338.","journal-title":"Math Eng"},{"key":"5513_CR24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2023.115983","volume":"410","author":"M Fedele","year":"2023","unstructured":"Fedele M, Piersanti R, Regazzoni F, Salvador M, Africa PC, Bucelli M, Zingaro A, Quarteroni A, et al. A comprehensive and biophysically detailed computational model of the whole human heart electromechanics. Comput Methods Appl Mech Eng. 2023;410: 115983.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"5513_CR25","doi-asserted-by":"publisher","DOI":"10.1016\/j.compbiomed.2021.104674","volume":"136","author":"M Salvador","year":"2021","unstructured":"Salvador M, Fedele M, Africa PC, Sung E, Prakosa A, Chrispin J, Trayanova N, Quarteroni A. Electromechanical modeling of human ventricles with ischemic cardiomyopathy: numerical simulations in sinus rhythm and under arrhythmia. Comput Biol Med. 2021;136: 104674.","journal-title":"Comput Biol Med"},{"key":"5513_CR26","doi-asserted-by":"crossref","unstructured":"Regazzoni F, Salvador M, Africa PC, Fedele M, Dede\u2019 L, Quarteroni A. A cardiac electromechanical model coupled with a lumped-parameter model for closed-loop blood circulation. J Comput Phys 2022; 111083.","DOI":"10.1016\/j.jcp.2022.111083"},{"key":"5513_CR27","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2022.114607","volume":"391","author":"R Piersanti","year":"2022","unstructured":"Piersanti R, Regazzoni F, Salvador M, Corno AF, Vergara C, Quarteroni A. 3D\u20130D closed-loop model for the simulation of cardiac biventricular electromechanics. Comput Methods Appl Mech Eng. 2022;391: 114607.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"5513_CR28","doi-asserted-by":"crossref","unstructured":"Corti M, Dede\u2019 L, Zingaro A, Quarteroni A. Impact of atrial fibrillation on left atrium haemodynamics: a computational fluid dynamics study. Comput Biol Med 2022,106143.","DOI":"10.1016\/j.compbiomed.2022.106143"},{"issue":"8","key":"5513_CR29","doi-asserted-by":"publisher","first-page":"2391","DOI":"10.3934\/dcdss.2022052","volume":"15","author":"A Zingaro","year":"2022","unstructured":"Zingaro A, Fumagalli I, Dede\u2019 L, Fedele M, Africa PC, Corno AF, Quarteroni AM. A geometric multiscale model for the numerical simulation of blood flow in the human left heart. Discrete Contin Dyn Syst S. 2022;15(8):2391\u2013427.","journal-title":"Discrete Contin Dyn Syst S"},{"key":"5513_CR30","doi-asserted-by":"crossref","unstructured":"Zingaro, A., Bucelli, M., Piersanti, R., Regazzoni, F., Dede\u2019, L., Quarteroni, A.: An electromechanics-driven fluid dynamics model for the simulation of the whole human heart. arXiv preprint arXiv:2301.02148 (2023)","DOI":"10.1016\/j.jcp.2024.112885"},{"key":"5513_CR31","doi-asserted-by":"crossref","unstructured":"Fumagalli, I., Vitullo, P., Vergara, C., Fedele, M., Corno, A.F., Ippolito, S., Scrofani, R., Quarteroni, A.: Image-based computational hemodynamics analysis of systolic obstruction in hypertrophic cardiomyopathy. Front Physiol 2437 (2022)","DOI":"10.3389\/fphys.2021.787082"},{"key":"5513_CR32","doi-asserted-by":"crossref","unstructured":"Marcinno\u2019, F., Zingaro, A., Fumagalli, I., Dede\u2019, L., Vergara, C.: A computational study of blood flow dynamics in the pulmonary arteries. Vietnam J Math 1\u201323 (2022)","DOI":"10.1007\/s10013-022-00595-y"},{"key":"5513_CR33","doi-asserted-by":"crossref","unstructured":"Bennati, L., Vergara, C., Giambruno, V., Fumagalli, I., Corno, A.F., Quarteroni, A., Puppini, G., Luciani, G.B.: An image-based computational fluid dynamics study of mitral regurgitation in presence of prolapse. Cardiovasc Eng Technol 1\u201319 (2023)","DOI":"10.1007\/s13239-023-00665-3"},{"key":"5513_CR34","doi-asserted-by":"crossref","unstructured":"Bennati, L., Giambruno, V., Renzi, F., Di\u00a0Nicola, V., Maffeis, C., Puppini, G., Luciani, G.B., Vergara, C.: Turbulence and blood washout in presence of mitral regurgitation: a computational fluid-dynamics study in the complete left heart. bioRxiv, 2023\u201303 (2023)","DOI":"10.1101\/2023.03.19.533094"},{"key":"5513_CR35","doi-asserted-by":"crossref","unstructured":"Zingaro, A., Bucelli, M., Fumagalli, I., Dede\u2019, L., Quarteroni, A.: Modeling isovolumetric phases in cardiac flows by an augmented resistive immersed implicit surface method. arXiv preprint arXiv:2208.09435 (2022)","DOI":"10.1002\/cnm.3767"},{"issue":"5","key":"5513_CR36","doi-asserted-by":"publisher","first-page":"1217","DOI":"10.4208\/cicp.OA-2021-0243","volume":"32","author":"M Bucelli","year":"2022","unstructured":"Bucelli M, Dede\u2019 L, Quarteroni A, Vergara C. Partitioned and monolithic algorithms for the numerical solution of cardiac fluid-structure interaction. Commun Comput Phys. 2022;32(5):1217\u201356.","journal-title":"Commun Comput Phys"},{"issue":"3","key":"5513_CR37","doi-asserted-by":"publisher","first-page":"3678","DOI":"10.1002\/cnm.3678","volume":"39","author":"M Bucelli","year":"2023","unstructured":"Bucelli M, Zingaro A, Africa PC, Fumagalli I, Dede\u2019 L, Quarteroni AM. A mathematical model that integrates cardiac electrophysiology, mechanics and fluid dynamics: application to the human left heart. Int J Numer Methods Biomed Eng. 2023;39(3):3678.","journal-title":"Int J Numer Methods Biomed Eng"},{"key":"5513_CR38","doi-asserted-by":"crossref","unstructured":"Bucelli, M., Gabriel, M.G., Quarteroni, A., Gigante, G., Vergara, C.: A stable loosely-coupled scheme for cardiac electro-fluid-structure interaction. J Comput Phys 112326 (2023)","DOI":"10.1016\/j.jcp.2023.112326"},{"key":"5513_CR39","doi-asserted-by":"crossref","unstructured":"Di\u00a0Gregorio, S., Vergara, C., Pelagi, G.M., Baggiano, A., Zunino, P., Guglielmo, M., Fusini, L., Muscogiuri, G., Rossi, A., Rabbat, M.G., et al.: Prediction of myocardial blood flow under stress conditions by means of a computational model. Eurp J Nuclear Med Mol Imaging, 1\u201312 (2022)","DOI":"10.1007\/s00259-021-05667-8"},{"key":"5513_CR40","doi-asserted-by":"publisher","first-page":"14220","DOI":"10.1038\/s41598-023-41312-0","volume":"13","author":"A Zingaro","year":"2023","unstructured":"Zingaro A, Vergara C, Dede\u2019 L, Regazzoni F, Quarteroni A. A comprehensive mathematical model for cardiac perfusion. Sci Rep. 2023;13:14220.","journal-title":"Sci Rep"},{"key":"5513_CR41","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-04801-7","volume-title":"Mathematical cardiac electrophysiology","author":"PC Franzone","year":"2014","unstructured":"Franzone PC, Pavarino LF, Scacchi S. Mathematical cardiac electrophysiology. Cham: Springer; 2014."},{"issue":"3","key":"5513_CR42","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/0960-0779(95)00089-5","volume":"7","author":"RR Aliev","year":"1996","unstructured":"Aliev RR, Panfilov AV. A simple two-variable model of cardiac excitation. Chaos, Solitons & Fractals. 1996;7(3):293\u2013301.","journal-title":"Chaos, Solitons & Fractals"},{"issue":"3","key":"5513_CR43","doi-asserted-by":"publisher","first-page":"544","DOI":"10.1016\/j.jtbi.2008.03.029","volume":"253","author":"A Bueno-Orovio","year":"2008","unstructured":"Bueno-Orovio A, Cherry EM, Fenton FH. Minimal model for human ventricular action potentials in tissue. J Theor Biol. 2008;253(3):544\u201360.","journal-title":"J Theor Biol"},{"key":"5513_CR44","doi-asserted-by":"publisher","first-page":"1088","DOI":"10.1152\/ajpheart.00109.2006","volume":"291","author":"KH ten Tusscher","year":"2006","unstructured":"ten Tusscher KH, Panfilov AV. Alternans and spiral breakup in a human ventricular tissue model. Am J Physiol Heart Circ Physiol. 2006;291:1088\u2013100.","journal-title":"Am J Physiol Heart Circ Physiol"},{"issue":"1","key":"5513_CR45","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1152\/ajpheart.1998.275.1.H301","volume":"275","author":"M Courtemanche","year":"1998","unstructured":"Courtemanche M, Ramirez RJ, Nattel S. Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model. Am J Physiol Heart Circ Physiol. 1998;275(1):301\u201321.","journal-title":"Am J Physiol Heart Circ Physiol"},{"issue":"10","key":"5513_CR46","doi-asserted-by":"publisher","first-page":"1719","DOI":"10.1016\/j.hrthm.2020.05.034","volume":"17","author":"A Frontera","year":"2020","unstructured":"Frontera A, Pagani S, Limite LR, Hadjis A, Manzoni A, Dede\u2019 L, Quarteroni A, Della Bella P. Outer loop and isthmus in ventricular tachycardia circuits: characteristics and implications. Heart Rhythm. 2020;17(10):1719\u201328.","journal-title":"Heart Rhythm"},{"issue":"5","key":"5513_CR47","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1016\/j.jacep.2022.01.019","volume":"8","author":"A Frontera","year":"2022","unstructured":"Frontera A, Pagani S, Limite LR, Peirone A, Fioravanti F, Enache B, Silva JC, Vlachos K, Meyer C, Montesano G, Manzoni A, Dede\u2019 L, Quarteroni A, La\u1e6dcu DG, Rossi P, Della Bella P. Slow conduction corridors and pivot sites characterize the electrical remodeling in atrial fibrillation. JACC Clin Electrophysiol. 2022;8(5):561\u201377.","journal-title":"JACC Clin Electrophysiol"},{"issue":"3","key":"5513_CR48","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1093\/cvr\/cvw073","volume":"110","author":"S Zahid","year":"2016","unstructured":"Zahid S, Cochet H, Boyle PM, Schwarz EL, Whyte KN, Vigmond EJ, Dubois R, Hocini M, Ha\u00efssaguerre M, Ja\u00efs P, et al. Patient-derived models link re-entrant driver localization in atrial fibrillation to fibrosis spatial pattern. Cardiovasc Res. 2016;110(3):443\u201354.","journal-title":"Cardiovasc Res"},{"issue":"1","key":"5513_CR49","doi-asserted-by":"publisher","first-page":"11437","DOI":"10.1038\/ncomms11437","volume":"7","author":"HJ Arevalo","year":"2016","unstructured":"Arevalo HJ, Vadakkumpadan F, Guallar E, Jebb A, Malamas P, Wu KC, Trayanova NA. Arrhythmia risk stratification of patients after myocardial infarction using personalized heart models. Nat Commun. 2016;7(1):11437.","journal-title":"Nat Commun"},{"key":"5513_CR50","volume-title":"Numerical mathematics","author":"A Quarteroni","year":"2010","unstructured":"Quarteroni A, Sacco R, Saleri F. Numerical mathematics. Cham: Springer; 2010."},{"key":"5513_CR51","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-49316-9","volume-title":"Numerical models for differential problems","author":"A Quarteroni","year":"2017","unstructured":"Quarteroni A. Numerical models for differential problems. Cham: Springer; 2017."},{"issue":"11","key":"5513_CR52","doi-asserted-by":"publisher","first-page":"1751","DOI":"10.1002\/cnm.1438","volume":"27","author":"P Pathmanathan","year":"2011","unstructured":"Pathmanathan P, Mirams GR, Southern J, Whiteley JP. The significant effect of the choice of ionic current integration method in cardiac electro-physiological simulations. Int J Numer Methods Biomed Eng. 2011;27(11):1751\u201370.","journal-title":"Int J Numer Methods Biomed Eng"},{"key":"5513_CR53","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1016\/j.euromechsol.2013.10.009","volume":"48","author":"S Rossi","year":"2014","unstructured":"Rossi S, Lassila T, Ruiz-Baier R, Sequeira A, Quarteroni A. Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics. Eurp J Mech-A\/Solids. 2014;48:129\u201342.","journal-title":"Eurp J Mech-A\/Solids"},{"issue":"4","key":"5513_CR54","doi-asserted-by":"publisher","first-page":"500","DOI":"10.1113\/jphysiol.1952.sp004764","volume":"117","author":"AL Hodgkin","year":"1952","unstructured":"Hodgkin AL, Huxley AF. A quantitative description of membrane current and its application to conduction and excitation in nerve. J Physiol. 1952;117(4):500.","journal-title":"J Physiol"},{"issue":"2","key":"5513_CR55","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1113\/jphysiol.1962.sp006849","volume":"160","author":"D Noble","year":"1962","unstructured":"Noble D. A modification of the hodgkin\u2013huxley equations applicable to purkinje fibre action and pacemaker potentials. J Physiol. 1962;160(2):317.","journal-title":"J Physiol"},{"key":"5513_CR56","doi-asserted-by":"publisher","first-page":"215","DOI":"10.1007\/s00791-003-0101-4","volume":"5","author":"GT Lines","year":"2003","unstructured":"Lines GT, Buist ML, Grottum P, Pullan AJ, Sundnes J, Tveito A. Mathematical models and numerical methods for the forward problem in cardiac electrophysiology. Comput Vis Sci. 2003;5:215\u201339.","journal-title":"Comput Vis Sci"},{"issue":"2173","key":"5513_CR57","first-page":"20190335","volume":"378","author":"RH Clayton","year":"2020","unstructured":"Clayton RH, Aboelkassem Y, Cantwell CD, Corrado C, Delhaas T, Huberts W, Lei CL, Ni H, Panfilov AV, Roney C, dos Santos RW. An audit of uncertainty in multi-scale cardiac electrophysiology models. Philos Trans R Soc Math Phys Eng Sci. 2020;378(2173):20190335.","journal-title":"Philos Trans R Soc Math Phys Eng Sci"},{"key":"5513_CR58","doi-asserted-by":"publisher","DOI":"10.1016\/j.cmpb.2021.106223","volume":"208","author":"G Plank","year":"2021","unstructured":"Plank G, Loewe A, Neic A, Augustin C, Huang Y-L, Gsell MAF. The openCARP simulation environment for cardiac electrophysiology. Comput Methods Progr Biomed. 2021;208: 106223.","journal-title":"Comput Methods Progr Biomed"},{"key":"5513_CR59","doi-asserted-by":"publisher","first-page":"2122","DOI":"10.1093\/bioinformatics\/btn390","volume":"24","author":"C Lloyd","year":"2008","unstructured":"Lloyd C, Lawson J, Hunter P, Nielsen P. The cellml model repository. Bioinformatics. 2008;24:2122\u20133.","journal-title":"Bioinformatics"},{"issue":"3","key":"5513_CR60","doi-asserted-by":"publisher","first-page":"1002970","DOI":"10.1371\/journal.pcbi.1002970","volume":"9","author":"GR Mirams","year":"2013","unstructured":"Mirams GR, Arthurs CJ, Bernabeu MO, Bordas R, Cooper J, Corrias A, Davit Y, Dunn S, Fletcher AG, Harvey DG, Marsh ME, Osborne JM, Pathmanathan P, Pitt-Francis J, Southern J, Zemzemi N, Gavaghan DJ. Chaste: an open source c++ library for computational physiology and biology. PLoS Comput Biol. 2013;9(3):1002970.","journal-title":"PLoS Comput Biol"},{"issue":"7","key":"5513_CR61","doi-asserted-by":"publisher","first-page":"802","DOI":"10.1080\/10255842.2013.795556","volume":"16","author":"DF Richards","year":"2013","unstructured":"Richards DF, Glosli JN, Draeger EW, Mirin AA, Chan B, Fattebert J-L, Krauss WD, Oppelstrup T, Butler CJ, Gunnels JA, et al. Towards real-time simulation of cardiac electrophysiology in a human heart at high resolution. Comput Methods Biomech Biomed Engin. 2013;16(7):802\u20135.","journal-title":"Comput Methods Biomech Biomed Engin"},{"key":"5513_CR62","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1016\/j.jocs.2015.12.007","volume":"14","author":"M V\u00e1zquez","year":"2016","unstructured":"V\u00e1zquez M, Houzeaux G, Koric S, Artigues A, Aguado-Sierra J, Ar\u00eds R, Mira D, Calmet H, Cucchietti F, Owen H, Taha A, Burness ED, Cela JM, Valero M. Alya: multiphysics engineering simulation toward exascale. J Comput Sci. 2016;14:15\u201327.","journal-title":"J Comput Sci"},{"key":"5513_CR63","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1016\/j.euromechsol.2014.04.001","volume":"48","author":"B Baillargeon","year":"2014","unstructured":"Baillargeon B, Rebelo N, Fox DD, Taylor RL, Kuhl E. The living heart project: a robust and integrative simulator for human heart function. Eur J Mech A Solids. 2014;48:38\u201347.","journal-title":"Eur J Mech A Solids"},{"key":"5513_CR64","doi-asserted-by":"crossref","unstructured":"Levine S, Battisti T, Butz B, D\u2019Souza K, Costabal F, Peirlinck M: Dassault Syst\u00e8mes\u2019 Living Heart Project, pp. 245\u2013259 (2022)","DOI":"10.1007\/978-3-030-88892-3_25"},{"issue":"1\u20133","key":"5513_CR65","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.pbiomolbio.2007.07.012","volume":"96","author":"E Vigmond","year":"2008","unstructured":"Vigmond E, Dos Santos RW, Prassl A, Deo M, Plank G. Solvers for the cardiac bidomain equations. Prog Biophys Mol Biol. 2008;96(1\u20133):3\u201318.","journal-title":"Prog Biophys Mol Biol"},{"issue":"2","key":"5513_CR66","doi-asserted-by":"publisher","first-page":"477","DOI":"10.1016\/S0008-6363(99)00034-6","volume":"42","author":"M Courtemanche","year":"1999","unstructured":"Courtemanche M, Ramirez RJ, Nattel S. Ionic targets for drug therapy and atrial fibrillation-induced electrical remodeling: insights from a mathematical model. Cardiovasc Res. 1999;42(2):477\u201389.","journal-title":"Cardiovasc Res"},{"key":"5513_CR67","doi-asserted-by":"publisher","first-page":"191","DOI":"10.1016\/j.jcp.2017.06.020","volume":"346","author":"A Neic","year":"2017","unstructured":"Neic A, Campos FO, Prassl AJ, Niederer SA, Bishop MJ, Vigmond EJ, Plank G. Efficient computation of electrograms and ecgs in human whole heart simulations using a reaction-eikonal model. J Comput Phys. 2017;346:191\u2013211.","journal-title":"J Comput Phys"},{"key":"5513_CR68","doi-asserted-by":"publisher","DOI":"10.1016\/j.media.2021.102080","volume":"71","author":"K Gillette","year":"2021","unstructured":"Gillette K, Gsell MAF, Prassl AJ, Karabelas E, Reiter U, Reiter G, Grandits T, Payer C, \u0160tern D, Urschler M, Bayer JD, Augustin CM, Neic A, Pock T, Vigmond EJ, Plank G. A framework for the generation of digital twins of cardiac electrophysiology from clinical 12-leads ECGs. Med Image Anal. 2021;71: 102080.","journal-title":"Med Image Anal"},{"key":"5513_CR69","doi-asserted-by":"crossref","unstructured":"Loewe A, Poremba E, Oesterlein T, Luik A, Schmitt C, Seemann G, D\u00f6ssel O. Patient-specific identification of atrial flutter vulnerability-a computational approach to reveal latent reentry pathways. Front Physiol 2019;9.","DOI":"10.3389\/fphys.2018.01910"},{"key":"5513_CR70","doi-asserted-by":"crossref","unstructured":"Azzolin L, Eichenlaub M, Nagel C, Nairn D, Sanchez J, Unger L, D\u00f6ssel O, Jadidi A, Loewe A. Personalized ablation vs. conventional ablation strategies to terminate atrial fibrillation and prevent recurrence. EP Europace 2022.","DOI":"10.1093\/europace\/euac116"},{"key":"5513_CR71","doi-asserted-by":"publisher","first-page":"3143","DOI":"10.1007\/s10439-021-02825-9","volume":"49","author":"K Gillette","year":"2021","unstructured":"Gillette K, Gsell MAF, Bouyssier J, Prassl AJ, Neic A, Vigmond EJ, Plank G. Automated framework for the inclusion of a his-purkinje system in cardiac digital twins of ventricular electrophysiology. Ann Biomed Eng. 2021;49:3143\u201353.","journal-title":"Ann Biomed Eng"},{"issue":"12","key":"5513_CR72","doi-asserted-by":"publisher","first-page":"8912","DOI":"10.1161\/CIRCEP.120.008912","volume":"13","author":"E Sung","year":"2020","unstructured":"Sung E, Prakosa A, Aronis KN, Zhou S, Zimmerman SL, Tandri H, Nazarian S, Berger RD, Chrispin J, Trayanova NA. Personalized digital-heart technology for ventricular tachycardia ablation targeting in hearts with infiltrating adiposity. Circ Arrhythmia Electrophysiol. 2020;13(12):8912.","journal-title":"Circ Arrhythmia Electrophysiol"},{"issue":"2","key":"5513_CR73","doi-asserted-by":"publisher","DOI":"10.1161\/CIRCEP.121.010253","volume":"15","author":"CH Roney","year":"2022","unstructured":"Roney CH, Sim I, Yu J, Beach M, Mehta A, Solis-Lemus JA, Kotadia I, Whitaker J, Corrado C, Razeghi O, Vigmond E, Narayan SM, O\u2019Neill M, Williams SE, Niederer SA. Predicting atrial fibrillation recurrence by combining population data and virtual cohorts of patient-specific left atrial models. Circ Arrhythmia Electrophysiol. 2022;15(2): 010253.","journal-title":"Circ Arrhythmia Electrophysiol"},{"key":"5513_CR74","doi-asserted-by":"publisher","first-page":"58","DOI":"10.1016\/j.pbiomolbio.2020.06.007","volume":"159","author":"F Margara","year":"2021","unstructured":"Margara F, Wang ZJ, Levrero-Florencio F, Santiago A, V\u00e1zquez M, Bueno-Orovio A, Rodriguez B. In-silico human electro-mechanical ventricular modelling and simulation for drug-induced pro-arrhythmia and inotropic risk assessment. Prog Biophys Mol Biol. 2021;159:58\u201374.","journal-title":"Prog Biophys Mol Biol"},{"key":"5513_CR75","doi-asserted-by":"publisher","DOI":"10.3389\/fphys.2021.708435","volume":"12","author":"M Peirlinck","year":"2021","unstructured":"Peirlinck M, Sahli Costabal F, Kuhl E. Sex differences in drug-induced arrhythmogenesis. Front Physiol. 2021;12: 708435.","journal-title":"Front Physiol"},{"key":"5513_CR76","doi-asserted-by":"crossref","unstructured":"Gonz\u00e1lez-Mart\u00edn P, Sacco F, Butakoff C, Doste R, Bederi\u00e1n C, Gutierrez Espinosa de\u00a0los Monteros LK, Houzeaux G, Iaizzo PA, Iles TL, V\u00e1zquez M, Aguado-Sierra J. Ventricular anatomical complexity and gender differences impact predictions from computational models. PLoS ONE 2023;18(2), 0263639.","DOI":"10.1371\/journal.pone.0263639"},{"key":"5513_CR77","unstructured":"Trilinos project website. https:\/\/trilinos.github.io 2023."},{"key":"5513_CR78","unstructured":"Sch\u00e4ling B. The boost C++ libraries. Boris Sch\u00e4ling 2011."},{"key":"5513_CR79","volume-title":"The Visualization Toolkit: An Object-Oriented Approach to 3D Graphics","author":"W Schroeder","year":"2006","unstructured":"Schroeder W, Martin KM, Lorensen WE. The Visualization Toolkit: An Object-Oriented Approach to 3D Graphics. USA: Prentice-Hall Inc; 2006."},{"issue":"4","key":"5513_CR80","doi-asserted-by":"publisher","first-page":"3435","DOI":"10.1002\/cnm.3435","volume":"37","author":"M Fedele","year":"2021","unstructured":"Fedele M, Quarteroni A. Polygonal surface processing and mesh generation tools for the numerical simulation of the cardiac function. Int J Numer Methods Biomed Eng. 2021;37(4):3435.","journal-title":"Int J Numer Methods Biomed Eng"},{"key":"5513_CR81","unstructured":"Antiga L, Steinman DA. The vascular modeling toolkit, 2008."},{"issue":"2","key":"5513_CR82","doi-asserted-by":"publisher","DOI":"10.1161\/CIRCEP.121.010253","volume":"15","author":"CH Roney","year":"2022","unstructured":"Roney CH, Sim I, Yu J, Beach M, Mehta A, Alonso Solis-Lemus J, Kotadia I, Whitaker J, Corrado C, Razeghi O, et al. Predicting atrial fibrillation recurrence by combining population data and virtual cohorts of patient-specific left atrial models. Circ Arrhythmia Electrophysiol. 2022;15(2): 010253.","journal-title":"Circ Arrhythmia Electrophysiol"},{"key":"5513_CR83","unstructured":"Costa CM, Neic A, Kerfoot E, Gillette K, Porter B, Sieniewicz B, Gould J, Sidhu B, Chen Z, Elliott M, Mehta V, Plank G, Rinaldi C, Bishop M, Niederer S. A virtual cohort of twenty-four left-ventricular models of ischemic cardiomyopathy patients. King\u2019s College London 2020."},{"issue":"1954","key":"5513_CR84","first-page":"4331","volume":"369","author":"SA Niederer","year":"2011","unstructured":"Niederer SA, Kerfoot E, Benson AP, Bernabeu MO, Bernus O, Bradley C, Cherry EM, Clayton R, Fenton FH, Garny A, et al. Verification of cardiac tissue electrophysiology simulators using an n-version benchmark. Philos Trans R Soc Math Phys Eng Sci. 2011;369(1954):4331\u201351.","journal-title":"Philos Trans R Soc Math Phys Eng Sci"},{"key":"5513_CR85","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2022.114607","volume":"391","author":"R Piersanti","year":"2022","unstructured":"Piersanti R, Regazzoni F, Salvador M, Corno AF, Dede\u2019 L, Vergara C, Quarteroni A. 3D\u20130D closed-loop model for the simulation of cardiac biventricular electromechanics. Comput Methods Appl Mech Eng. 2022;391: 114607.","journal-title":"Comput Methods Appl Mech Eng"},{"key":"5513_CR86","doi-asserted-by":"publisher","first-page":"511","DOI":"10.3389\/fphys.2014.00511","volume":"5","author":"J Cooper","year":"2015","unstructured":"Cooper J, Spiteri RJ, Mirams GR. Cellular cardiac electrophysiology modeling with chaste and cellml. Front Physiol. 2015;5:511.","journal-title":"Front Physiol"},{"key":"5513_CR87","doi-asserted-by":"crossref","unstructured":"Zampini S. Inexact bddc methods for the cardiac bidomain model. In: domain decomposition methods in science and engineering XXI, pp. 247\u2013255. Springer. 2014.","DOI":"10.1007\/978-3-319-05789-7_21"},{"key":"5513_CR88","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.111084","volume":"457","author":"G Del Corso","year":"2022","unstructured":"Del Corso G, Verzicco R, Viola F. A fast computational model for the electrophysiology of the whole human heart. J Comput Phys. 2022;457: 111084.","journal-title":"J Comput Phys"},{"key":"5513_CR89","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1016\/j.apnum.2021.11.009","volume":"173","author":"N Chamakuri","year":"2022","unstructured":"Chamakuri N, K\u00fcgler P. Parallel space-time adaptive numerical simulation of 3d cardiac electrophysiology. Appl Numer Math. 2022;173:295\u2013307.","journal-title":"Appl Numer Math"}],"container-title":["BMC Bioinformatics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s12859-023-05513-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1186\/s12859-023-05513-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1186\/s12859-023-05513-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,30]],"date-time":"2024-10-30T19:26:22Z","timestamp":1730316382000},"score":1,"resource":{"primary":{"URL":"https:\/\/bmcbioinformatics.biomedcentral.com\/articles\/10.1186\/s12859-023-05513-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,13]]},"references-count":89,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2023,12]]}},"alternative-id":["5513"],"URL":"https:\/\/doi.org\/10.1186\/s12859-023-05513-8","relation":{},"ISSN":["1471-2105"],"issn-type":[{"value":"1471-2105","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,13]]},"assertion":[{"value":"3 August 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"2 October 2023","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 October 2023","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval and consent to participate"}},{"value":"Not applicable.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Consent for publication"}},{"value":"The authors declare that they have no competing interests.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"389"}}