ArticleInternational journal for numerical methods in biomedical engineering2018
Estimation of transversely isotropic material properties from magnetic resonance elastography using the optimised virtual fields method.
Article in International journal for numerical methods in biomedical engineering, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed, 24 citations in OpenAlex.
- Distinguishing shear and tensile myocardial wall stiffness using ex vivo anisotropic Magnetic Resonance Elastography.Acta biomaterialia · 2025Article
- Mechanically anisotropic phantoms for magnetic resonance elastography.Magnetic resonance in medicine · 2025Article
- Mechanical stiffness and anisotropy measured by MRE during brain development in the minipig.NeuroImage · 2023Article
- Transversely-isotropic brain in vivo MR elastography with anisotropic damping.Journal of the mechanical behavior of biomedical materials · 2023Article
- Mapping heterogenous anisotropic tissue mechanical properties with transverse isotropic nonlinear inversion MR elastography.Medical image analysis · 2022Article
- Anisotropic mechanical properties in the healthy human brain estimated with multi-excitation transversely isotropic MR elastography.Brain multiphysics · 2022Article
- Shear wave speeds in nearly-incompressible fibrous materials with two fiber families.The Journal of the Acoustical Society of America · 2021Article
- Mechanical properties of white matter tracts in aging assessed via anisotropic MR elastography.Imaging neuroscience (Cambridge, Mass.)Article
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Authors and funding
4 authors at 2 institutions in 2 countries.
Funding
Abstract
Magnetic resonance elastography (MRE) has been used to estimate isotropic myocardial stiffness. However, anisotropic stiffness estimates may give insight into structural changes that occur in the myocardium as a result of pathologies such as diastolic heart failure. The virtual fields method (VFM) has been proposed for estimating material stiffness from image data. This study applied the optimised VFM to identify transversely isotropic material properties from both simulated harmonic displacements in a left ventricular (LV) model with a fibre field measured from histology as well as isotropic phantom MRE data. Two material model formulations were implemented, estimating either 3 or 5 material properties. The 3-parameter formulation writes the transversely isotropic constitutive relation in a way that dissociates the bulk modulus from other parameters. Accurate identification of transversely isotropic material properties in the LV model was shown to be dependent on the loading condition applied, amount of Gaussian noise in the signal, and frequency of excitation. Parameter sensitivity values showed that shear moduli are less sensitive to noise than the other parameters. This preliminary investigation showed the feasibility and limitations of using the VFM to identify transversely isotropic material properties from MRE images of a phantom as well as simulated harmonic displacements in an LV geometry.
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