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Three-dimensional cardiac computational modelling: methods, features and applications.
Open accessAbstract
The combination of computational models and biophysical simulations can help to interpret an array of experimental data and contribute to the understanding, diagnosis and treatment of complex diseases such as cardiac arrhythmias. For this reason, three-dimensional (3D) cardiac computational modelling is currently a rising field of research. The advance of medical imaging technology over the last decades has allowed the evolution from generic to patient-specific 3D cardiac models that faithfully represent the anatomy and different cardiac features of a given alive subject. Here we analyse sixty representative 3D cardiac computational models developed and published during the last fifty years, describing their information sources, features, development methods and online availability. This paper also reviews the necessary components to build a 3D computational model of the heart aimed at biophysical simulation, paying especial attention to cardiac electrophysiology (EP), and the existing approaches to incorporate those components. We assess the challenges associated to the different steps of the building process, from the processing of raw clinical or biological data to the final application, including image segmentation, inclusion of substructures and meshing among others. We briefly outline the personalisation approaches that are currently available in 3D cardiac computational modelling. Finally, we present examples of several specific applications, mainly related to cardiac EP simulation and model-based image analysis, showing the potential usefulness of 3D cardiac computational modelling into clinical environments as a tool to aid in the prevention, diagnosis and treatment of cardiac diseases.
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![Figure 1 Patient-specific bi-ventricular model. (a) In-vivo cardiac MRI slices showing manually segmented epicardial contour. (b) 3D cardiac model overlaid on the MRI stack. (c) Finite-element mesh with tri-cubic Hermite elements showing the main direction of fibre orientation at epicardium (yellow), midwall (green) and endocardium (purple). Reproduced with permission from [39]](/paper-figures/98ce10194486455e8deae63d10d3b1dd/three-dimensional-cardiac-computational-modelling-methods-features-and-figure-1.jpg)
![Figure 2 Highly-detailed rabbit bi-ventricular model. (a) Very high resolution ex-vivo MRI. (b) 3D rendering of the model showing a high level of anatomical detail. (c) Detail of tetrahedral finite-element mesh showing the papillary muscles (green) and chordae tendineae (blue). Adapted with permission from [46].](/paper-figures/90fc6291df884f018476d746631a5b77/three-dimensional-cardiac-computational-modelling-methods-features-and-figure-2.jpg)




![Figure 7 Different methods to include the fibre orientation in 3D bi-ventricular models. Comparison between (a) rule-based method (Laplace-Dirichlet) and (b) DTI-based estimation of the myocardial fibre orientation for a 3D model of canine ventricles. Adapted with permission from [81].](/paper-figures/40ee29c964c8481a9e19eccf05fe588e/three-dimensional-cardiac-computational-modelling-methods-features-and-figure-7.jpg)



![Figure 11 Whole-heart cardiac atlas constructed from in-vivo high-resolution MS-CT of 138 human subjects. (a) Mean shape of the whole-heart atlas. (b) First two modes of variation at end diastole of the spatio-temporal whole-heart statistical atlas (μ represents the mean shape and √λ is the standard deviation). Adapted with permission from [52].](/paper-figures/2ad900954cf74591b35a6a3ba769604c/three-dimensional-cardiac-computational-modelling-methods-features-and-figure-11.jpg)
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“However, when imaging data is noisy, an alternative rule-based methodology can be utilized to simulate electrical wave propagation and mechanical contraction in the heart (Bayer et al., 2012; Lopez-Perez et al., 2015; Nguyen et al., 2020).”
From Thoroughly Calibrated Modular Agent-Based Model of the Human Cardiovascular and Renal Systems for Blood Pressure Regulation in Health and Disease (2021) · cites this paper as Lopez-Perez et al., 2015
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Metadata
- Authors
- Lopez-Perez, A., Sebastian, R., & Ferrero, J. M.
- Affiliations
- Universitat Politècnica de València (ES)
- Corresponding author
- Lopez-Perez, Alejandro
- Venue
- BioMedical Engineering OnLine
- Published
- 2015-04-17
- Volume
- 14
- Issue
- 1
- Pages
- 35-35
- ISSN
- 1475-925X (ISSN-L)
- PMC
- PMC4424572
- OpenAlex
- W2047658479
- Cited by
- 151
- References
- 192
- Citations by year
- 2026: 7 · 2025: 5 · 2024: 9 · 2023: 15 · 2022: 20 · 2021: 19 · 2020: 21 · 2019: 20 · 2018: 14 · 2017: 9 · 2016: 10 · 2015: 2
- FWCI
- 2.01
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- BioMedical Engineering OnLine (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- RiuNet (Universitat Politècnica de València) (submittedVersion, cc-by-nc-nd)
- Funders
- European Commission
- Ministerio de Economía y Competitividad (BES-2013, TIN2011-28067, TIN2012-37546-C03-01)
- Generalitat Valenciana
- European Regional Development Fund
- Topics
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiac electrophysiology and arrhythmias
- Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiac Arrhythmias and Treatments
- Physical Sciences › Engineering › Biomedical Engineering › Anatomy and Medical Technology
- Keywords
- patient-specific cardiac models, cardiac electrophysiology simulation, cardiac arrhythmias, image segmentation, mesh generation, model-based image analysis, biophysical simulation
- MeSH terms
- Animals, Biomechanical Phenomena, Cardiology, Computer Simulation, Decision Making, Computer-Assisted, Dogs, Electrophysiology, Heart Conduction System, Heart Diseases, Humans, Image Processing, Computer-Assisted, Models, Cardiovascular, Myocardium, Rabbits, Myocytes, Cardiac, Biophysical Phenomena, Precision Medicine, Cardiac Resynchronization Therapy
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