ArticleMolecular & cellular biomechanics : MCB2012
Tumor growth modeling from the perspective of multiphase porous media mechanics.
Article in Molecular & cellular biomechanics : MCB, 2012. 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.
- Semi-analytical solutions of passive scalar transport in generalized Newtonian fluid flow.Physics of fluids (Woodbury, N.Y. : 1994) · 2025Article
- Modeling flow of Carreau fluids in porous media.Physical review. E · 2023Article
- An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow.Biomedical microdevices · 2023Article
- A continuum mechanical framework for modeling tumor growth and treatment in two- and three-phase systems.Archive of applied mechanics = Ingenieur-Archiv · 2022Article
- Preclinical models for development of immune-oncology therapies.Immuno-oncology insights · 2022Article
- Generalized Newtonian fluid flow in porous media.Physical review fluids · 2021Article
- Image-guided mathematical modeling for pharmacological evaluation of nanomaterials and monoclonal antibodies.Wiley interdisciplinary reviews. Nanomedicine and nanobiotechnology · 2020Review
- A tumor growth model with deformable ECM.Physical biology · 2014Article
Corrections and comments
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Authors and funding
8 authors.
Funding
Abstract
Multiphase porous media mechanics is used for modeling tumor growth, using governing equations obtained via the thermodynamically constrained averaging theory (TCAT). This approach incorporates the interaction of more phases than legacy tumor growth models. The tumor is treated as a multiphase system composed of an extracellular matrix, tumor cells which may become necrotic depending on nutrient level and pressure, healthy cells and an interstitial fluid which transports nutrients. The governing equations are numerically solved within a Finite Element framework for predicting the growth rate of the tumor mass, and of its individual components, as a function of the initial tumor-to-healthy cell ratio, nutrient concentration, and mechanical strain. Preliminary results are shown.
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Identifiers
23285734PMC3877847What OpenQuestion holds
Registered trials
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