ArticleBiophysical journal2015
On the presence of affine fibril and fiber kinematics in the mitral valve anterior leaflet.
Article in Biophysical journal, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 29 papers.
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Who cites it
29 citing papers in PubMed.
- Temporal dynamics of angiogenesis: the emerging role of mechanoregulated pathways.Biochemical Society transactions · 2025Review
- Effect of Collagen Fiber Tortuosity Distribution on the Mechanical Response of Arterial Tissues.Journal of biomechanical engineering · 2025Article
- A Mathematical Model for Postimplant Collagen Remodeling in an Autologous Engineered Pulmonary Arterial Conduit.Journal of biomechanical engineering · 2024Article
- Patient-Specific Quantitative In-Vivo Assessment of Human Mitral Valve Leaflet Strain Before and After MitraClip Repair.Cardiovascular engineering and technology · 2023Article
- Ex vivo experimental characterizations for understanding the interrelationship between tissue mechanics and collagen microstructure of porcine mitral valve leaflets.Journal of the mechanical behavior of biomedical materials · 2022Article
- Risky interpretations across the length scales: continuum vs. discrete models for soft tissue mechanobiology.Biomechanics and modeling in mechanobiology · 2022Article
- Collagen Fibril Orientation in Tissue Specimens From Atherosclerotic Plaque Explored Using Small Angle X-Ray Scattering.Journal of biomechanical engineering · 2022Article
- Evaluation of affine fiber kinematics in porcine tricuspid valve leaflets using polarized spatial frequency domain imaging and planar biaxial testing.Journal of biomechanics · 2021Article
- Isogeometric finite element-based simulation of the aortic heart valve: Integration of neural network structural material model and structural tensor fiber architecture representations.International journal for numerical methods in biomedical engineering · 2021Article
- Integration of Functional Imaging, Cytometry, and Unbiased Proteomics Reveals New Features of Endothelial-to-Mesenchymal Transition in Ischemic Mitral Valve Regurgitation in Human Patients.Frontiers in cardiovascular medicine · 2021Article
- Three-Dimensional Quantification of Collagen Microstructure During Tensile Mechanical Loading of Skin.Frontiers in bioengineering and biotechnology · 2021Article
- Radiofrequency ablation alters the microstructural organization of healthy and enzymatically digested porcine mitral valves.Experimental mechanics · 2021Article
- Functional Grading of a Transversely Isotropic Hyperelastic Model with Applications in Modeling Tricuspid and Mitral Valve Transition Regions.International journal of molecular sciences · 2020Article
- A Pilot Study on Linking Tissue Mechanics with Load-Dependent Collagen Microstructures in Porcine Tricuspid Valve Leaflets.Bioengineering (Basel, Switzerland) · 2020Article
- Mitral valve leaflet response to ischaemic mitral regurgitation: from gene expression to tissue remodelling.Journal of the Royal Society, Interface · 2020Article
- Integration of polarized spatial frequency domain imaging (pSFDI) with a biaxial mechanical testing system for quantification of load-dependent collagen architecture in soft collagenous tissues.Acta biomaterialia · 2020Article
- On the simulation of mitral valve function in health, disease, and treatment.Journal of biomechanical engineering · 2019Article
- The Three-Dimensional Microenvironment of the Mitral Valve: Insights into the Effects of Physiological Loads.Cellular and molecular bioengineering · 2018Article
- Transmural remodeling of right ventricular myocardium in response to pulmonary arterial hypertension.APL bioengineering · 2017Article
- Modeling the response of exogenously crosslinked tissue to cyclic loading: The effects of permanent set.Journal of the mechanical behavior of biomedical materials · 2017Article
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Authors and funding
6 authors.
Funding
Abstract
In this study, we evaluated the hypothesis that the constituent fibers follow an affine deformation kinematic model for planar collagenous tissues. Results from two experimental datasets were utilized, taken at two scales (nanometer and micrometer), using mitral valve anterior leaflet (MVAL) tissues as the representative tissue. We simulated MVAL collagen fiber network as an ensemble of undulated fibers under a generalized two-dimensional deformation state, by representing the collagen fibrils based on a planar sinusoidally shaped geometric model. The proposed approach accounted for collagen fibril amplitude, crimp period, and rotation with applied macroscopic tissue-level deformation. When compared to the small angle x-ray scattering measurements, the model fit the data well, with an r(2) = 0.976. This important finding suggests that, at the homogenized tissue-level scale of ∼1 mm, the collagen fiber network in the MVAL deforms according to an affine kinematics model. Moreover, with respect to understanding its function, affine kinematics suggests that the constituent fibers are largely noninteracting and deform in accordance with the bulk tissue. It also suggests that the collagen fibrils are tightly bounded and deform as a single fiber-level unit. This greatly simplifies the modeling efforts at the tissue and organ levels, because affine kinematics allows a straightforward connection between the macroscopic and local fiber strains. It also suggests that the collagen and elastin fiber networks act independently of each other, with the collagen and elastin forming long fiber networks that allow for free rotations. Such freedom of rotation can greatly facilitate the observed high degree of mechanical anisotropy in the MVAL and other heart valves, which is essential to heart valve function. These apparently novel findings support modeling efforts directed toward improving our fundamental understanding of tissue biomechanics in healthy and diseased conditions.
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