ArticleJournal of the mechanics and physics of solids2013
On the effect of prestrain and residual stress in thin biological membranes.
Article in Journal of the mechanics and physics of solids, 2013. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 37 papers.
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Who cites it
37 citing papers in PubMed.
- Trial
- A noninvasive method for determining elastic parameters of valve tissue using physics-informed neural networks.Acta biomaterialia · 2025Article
- Article
- Bayesian Optimization-Based Inverse Finite Element Analysis for Atrioventricular Heart Valves.Annals of biomedical engineering · 2024Article
- Benchtop characterization of the tricuspid valve leaflet pre-strains.Acta biomaterialia · 2022Article
- 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
- Patient-Specific Inverse Modeling of In Vivo Cardiovascular Mechanics with Medical Image-Derived Kinematics as Input Data: Concepts, Methods, and Applications.Applied sciences (Basel, Switzerland) · 2022Article
- A design-based model of the aortic valve for fluid-structure interaction.Biomechanics and modeling in mechanobiology · 2021Article
- Precision medicine in human heart modeling : Perspectives, challenges, and opportunities.Biomechanics and modeling in mechanobiology · 2021Review
- Improving reconstructive surgery design using Gaussian process surrogates to capture material behavior uncertainty.Journal of the mechanical behavior of biomedical materials · 2021Article
- The Geometry of Incompatibility in Growing Soft Tissues: Theory and Numerical Characterization.Journal of the mechanics and physics of solids · 2021Article
- Computational fluid dynamics of the right atrium: Assessment of modelling criteria for the evaluation of dialysis catheters.PloS one · 2021Article
- A pilot in silico modeling-based study of the pathological effects on the biomechanical function of tricuspid valves.International journal for numerical methods in biomedical engineering · 2020Article
- Tricuspid valve leaflet strains in the beating ovine heart.Biomechanics and modeling in mechanobiology · 2019Article
- Increased Cell Traction-Induced Prestress in Dynamically Cultured Microtissues.Frontiers in bioengineering and biotechnology · 2019Article
- Improving tissue expansion protocols through computational modeling.Journal of the mechanical behavior of biomedical materials · 2018Article
- Growth and remodeling play opposing roles during postnatal human heart valve development.Scientific reports · 2018Article
- Review
- Computational virtual evaluation of the effect of annuloplasty ring shape.International journal for numerical methods in biomedical engineering · 2017Article
- Modeling molecular mechanisms in the axon.Computational mechanics · 2017Article
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Authors and funding
2 authors.
Funding
Abstract
Understanding the difference between ex vivo and in vivo measurements is critical to interpret the load carrying mechanisms of living biological systems. For the past four decades, the ex vivo stiffness of thin biological membranes has been characterized using uniaxial and biaxial tests with remarkably consistent stiffness parameters, even across different species. Recently, the in vivo stiffness was characterized using combined imaging techniques and inverse finite element analyses. Surprisingly, ex vivo and in vivo stiffness values differed by up to three orders of magnitude. Here, for the first time, we explain this tremendous discrepancy using the concept of prestrain. We illustrate the mathematical modeling of prestrain in nonlinear continuum mechanics through the multiplicative decomposition of the total elastic deformation into prestrain-induced and load-induced parts. Using in vivo measured membrane kinematics and associated pressure recordings, we perform an inverse finite element analysis for different prestrain levels and show that the resulting membrane stiffness may indeed differ by four orders of magnitude depending on the prestrain level. Our study motivates the hypothesis that prestrain is important to position thin biological membranes in vivo into their optimal operating range, right at the transition point of the stiffening regime. Understanding the effect of prestrain has direct clinical implications in regenerative medicine, medical device design, and and tissue engineering of replacement constructs for thin biological membranes.
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