ArticleComputer methods in biomechanics and biomedical engineering2014
Generating fibre orientation maps in human heart models using Poisson interpolation.
Article in Computer methods in biomechanics and biomedical engineering, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 40 papers.
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40 citing papers in PubMed, 123 citations in OpenAlex.
- A Whole-Heart Fluid-Structure Interaction Model for Transcatheter Mitral Valve Repair in Primary Mitral Regurgitation.Annals of biomedical engineering · 2026Article
- Prediction of arrhythmogenesis in non-ischemic cardiac resynchronization therapy patients.APL bioengineering · 2026Article
- The functional impact of myofiber macroscopic organization and disarray in computational models of the murine heart.PLoS computational biology · 2026Article
- Data-informed reconstruction of a bipennate muscle's aponeurosis and its fibre distribution for performing continuum-mechanical simulations.Biomechanics and modeling in mechanobiology · 2025Article
- Heart in a knot: unraveling the impact of the nested tori myofiber architecture on ventricular mechanics.Biomechanics and modeling in mechanobiology · 2025Article
- Computational Multiscale Modeling of Pulsed Field Ablation Considering Conductivity and Damage Anisotropy Reveals Deep Lesion Morphologies.International journal for numerical methods in biomedical engineering · 2025Article
- A universal material model subroutine for soft matter systems.Engineering with computers · 2025Article
- Temporal geometric mapping defines morphoelastic growth model of Type B aortic dissection evolution.Computers in biology and medicine · 2024Article
- Advancing clinical translation of cardiac biomechanics models: a comprehensive review, applications and future pathways.Frontiers in physics · 2023Article
- lifex-fiber: an open tool for myofibers generation in cardiac computational models.BMC bioinformatics · 2023Article
- Serial RV wall stress measurements: association with right ventricular function in repaired Tetralogy of Fallot patients.Frontiers in cardiovascular medicine · 2023Article
- Optimization of 3D printing andFrontiers in bioengineering and biotechnology · 2023Article
- Toward Hierarchical Assembly of Aligned Cell Sheets into a Conical Cardiac Ventricle Using Microfabricated Elastomers.Advanced biology · 2022Article
- Embedded Computational Heart Model for External Ventricular Assist Device Investigations.Cardiovascular engineering and technology · 2022Article
- Multiscale Anisotropic Tissue Biofabrication via Bulk Acoustic Patterning of Cells and Functional Additives in Hybrid Bioinks.Advanced healthcare materials · 2022Article
- Comparison of interpolation methods of predominant cardiomyocyte orientation from in vivo and ex vivo cardiac diffusion tensor imaging data.NMR in biomedicine · 2022Article
- Support Pressure Acting on the Epicardial Surface of a Rat Left Ventricle-A Computational Study.Frontiers in cardiovascular medicine · 2022Article
- Personalization of biomechanical simulations of the left ventricle by in-vivo cardiac DTI data: Impact of fiber interpolation methods.Frontiers in physiology · 2022Article
- The Comparison of Different Constitutive Laws and Fiber Architectures for the Aortic Valve on Fluid-Structure Interaction Simulation.Frontiers in physiology · 2021Article
- Short microsecond pulses achieve homogeneous electroporation of elongated biological cells irrespective of their orientation in electric field.Scientific reports · 2020Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
Abstract
Smoothly varying muscle fibre orientations in the heart are critical to its electrical and mechanical function. From detailed histological studies and diffusion tensor imaging, we now know that fibre orientations in humans vary gradually from approximately -70° in the outer wall to +80° in the inner wall. However, the creation of fibre orientation maps for computational analyses remains one of the most challenging problems in cardiac electrophysiology and cardiac mechanics. Here, we show that Poisson interpolation generates smoothly varying vector fields that satisfy a set of user-defined constraints in arbitrary domains. Specifically, we enforce the Poisson interpolation in the weak sense using a standard linear finite element algorithm for scalar-valued second-order boundary value problems and introduce the feature to be interpolated as a global unknown. User-defined constraints are then simply enforced in the strong sense as Dirichlet boundary conditions. We demonstrate that the proposed concept is capable of generating smoothly varying fibre orientations, quickly, efficiently and robustly, both in a generic bi-ventricular model and in a patient-specific human heart. Sensitivity analyses demonstrate that the underlying algorithm is conceptually able to handle both arbitrarily and uniformly distributed user-defined constraints; however, the quality of the interpolation is best for uniformly distributed constraints. We anticipate our algorithm to be immediately transformative to experimental and clinical settings, in which it will allow us to quickly and reliably create smooth interpolations of arbitrary fields from data-sets, which are sparse but uniformly distributed.
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