ArticleJournal of biomechanical engineering2011
Finite element implementation of mechanochemical phenomena in neutral deformable porous media under finite deformation.
Article in Journal of biomechanical engineering, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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Who cites it
17 citing papers in PubMed.
- Finite Element Implementation of Computational Fluid Dynamics With Reactive Neutral and Charged Solute Transport in FEBio.Journal of biomechanical engineering · 2023Article
- A finite porous-viscoelastic model capturing mechanical behavior of human cervix under multi-step spherical indentation.Journal of the mechanical behavior of biomedical materials · 2023Article
- Convection-enhanced delivery with controlled catheter movement: A parametric finite element analysis.International journal for numerical methods in biomedical engineering · 2022Article
- A Hybrid Biphasic Mixture Formulation for Modeling Dynamics in Porous Deformable Biological Tissues.Archive of applied mechanics = Ingenieur-Archiv · 2022Article
- A Hybrid Reactive Multiphasic Mixture With a Compressible Fluid Solvent.Journal of biomechanical engineering · 2022Article
- Finite Element Implementation of Biphasic-Fluid Structure Interactions in febio.Journal of biomechanical engineering · 2021Article
- Parametric Study of the Design Variables of an Arborizing Catheter on Dispersal Volume Using a Biphasic Computational Model.Journal of engineering and science in medical diagnostics and therapy · 2019Article
- Analyzing the effects of instillation volume on intravesical delivery using biphasic solute transport in a deformable geometry.Mathematical medicine and biology : a journal of the IMA · 2019Article
- Finite Element Formulation of Multiphasic Shell Elements for Cell Mechanics Analyses in FEBio.Journal of biomechanical engineering · 2018Article
- Finite Element Framework for Computational Fluid Dynamics in FEBio.Journal of biomechanical engineering · 2018Article
- Computational modeling of chemical reactions and interstitial growth and remodeling involving charged solutes and solid-bound molecules.Biomechanics and modeling in mechanobiology · 2014Article
- Computational modelling suggests good, bad and ugly roles of glycosaminoglycans in arterial wall mechanics and mechanobiology.Journal of the Royal Society, Interface · 2014Article
- Multiphasic finite element framework for modeling hydrated mixtures with multiple neutral and charged solutes.Journal of biomechanical engineering · 2013Article
- Accumulation of exogenous activated TGF-β in the superficial zone of articular cartilage.Biophysical journal · 2013Article
- Subject-specific analysis of joint contact mechanics: application to the study of osteoarthritis and surgical planning.Journal of biomechanical engineering · 2013Review
- Multiscale mechanics of articular cartilage: potentials and challenges of coupling musculoskeletal, joint, and microscale computational models.Annals of biomedical engineering · 2012Review
- Solute transport across a contact interface in deformable porous media.Journal of biomechanics · 2012Article
Corrections and comments
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Authors and funding
4 authors.
Funding
Abstract
Biological soft tissues and cells may be subjected to mechanical as well as chemical (osmotic) loading under their natural physiological environment or various experimental conditions. The interaction of mechanical and chemical effects may be very significant under some of these conditions, yet the highly nonlinear nature of the set of governing equations describing these mechanisms poses a challenge for the modeling of such phenomena. This study formulated and implemented a finite element algorithm for analyzing mechanochemical events in neutral deformable porous media under finite deformation. The algorithm employed the framework of mixture theory to model the porous permeable solid matrix and interstitial fluid, where the fluid consists of a mixture of solvent and solute. A special emphasis was placed on solute-solid matrix interactions, such as solute exclusion from a fraction of the matrix pore space (solubility) and frictional momentum exchange that produces solute hindrance and pumping under certain dynamic loading conditions. The finite element formulation implemented full coupling of mechanical and chemical effects, providing a framework where material properties and response functions may depend on solid matrix strain as well as solute concentration. The implementation was validated using selected canonical problems for which analytical or alternative numerical solutions exist. This finite element code includes a number of unique features that enhance the modeling of mechanochemical phenomena in biological tissues. The code is available in the public domain, open source finite element program FEBio (http:∕∕mrl.sci.utah.edu∕software).
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.