ArticlePhysical biology2014
A tumor growth model with deformable ECM.
Article in Physical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed.
- Computational Modelling of Cancer Nanomedicine: Integrating Hyperthermia Treatment Into a Multiphase Porous-Media Tumour Model.International journal for numerical methods in biomedical engineering · 2025Article
- Hierarchical Poromechanical Approach to Investigate the Impact of Mechanical Loading on Human Skin Micro-Circulation.International journal for numerical methods in biomedical engineering · 2025Article
- Mechanics of knee meniscus results from precise balance between material microstructure and synovial fluid viscosity.PloS one · 2025Article
- Modeling of chemo-radiotherapy targeting growing vascular tumors: A continuum-level approach.PloS one · 2025Article
- Rapid Biofabrication of an Advanced Microphysiological System Mimicking Phenotypical Heterogeneity and Drug Resistance in Glioblastoma.Advanced healthcare materials · 2024Article
- An in silico model of the capturing of magnetic nanoparticles in tumour spheroids in the presence of flow.Biomedical microdevices · 2023Article
- Osteolytic vs. Osteoblastic Metastatic Lesion: Computational Modeling of the Mechanical Behavior in the Human Vertebra after Screws Fixation Procedure.Journal of clinical medicine · 2022Article
- Mathematical simulation and prediction of tumor volume using RBF artificial neural network at different circumstances in the tumor microenvironment.Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine · 2021Article
- Mechanical Pressure Driving Proteoglycan Expression in Mammographic Density: a Self-perpetuating Cycle?Journal of mammary gland biology and neoplasia · 2021Review
- Digital twinning of Cellular Capsule Technology: Emerging outcomes from the perspective of porous media mechanics.PloS one · 2021Article
- Drug delivery: Experiments, mathematical modelling and machine learning.Computers in biology and medicine · 2020Article
- Computational models of melanoma.Theoretical biology & medical modelling · 2020Review
- Role of mechanical cues and hypoxia on the growth of tumor cells in strong and weak confinement: A dual in vitro-in silico approach.Science advances · 2020Article
- Extension of a multiphase tumour growth model to study nanoparticle delivery to solid tumours.PloS one · 2020Article
- Coupling tumor growth and bio distribution models.Biomedical microdevices · 2019Article
- A monolithic multiphase porous medium framework for (a-)vascular tumor growth.Computer methods in applied mechanics and engineering · 2018Article
- Simulation of Multispecies Desmoplastic Cancer Growth via a Fully Adaptive Non-linear Full Multigrid Algorithm.Frontiers in physiology · 2018Article
- Model of vascular desmoplastic multispecies tumor growth.Journal of theoretical biology · 2017Article
- A biochemo-mechano coupled, computational model combining membrane transport and pericellular proteolysis in tissue mechanics.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
- On the morphological stability of multicellular tumour spheroids growing in porous media.The European physical journal. E, Soft matter · 2016Article
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Authors and funding
5 authors.
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Abstract
Existing tumor growth models based on fluid analogy for the cells do not generally include the extracellular matrix (ECM), or if present, take it as rigid. The three-fluid model originally proposed by the authors and comprising tumor cells (TC), host cells (HC), interstitial fluid (IF) and an ECM, considered up to now only a rigid ECM in the applications. This limitation is here relaxed and the deformability of the ECM is investigated in detail. The ECM is modeled as a porous solid matrix with Green-elastic and elasto-visco-plastic material behavior within a large strain approach. Jauman and Truesdell objective stress measures are adopted together with the deformation rate tensor. Numerical results are first compared with those of a reference experiment of a multicellular tumor spheroid (MTS) growing in vitro, then three different tumor cases are studied: growth of an MTS in a decellularized ECM, growth of a spheroid in the presence of host cells and growth of a melanoma. The influence of the stiffness of the ECM is evidenced and comparison with the case of a rigid ECM is made. The processes in a deformable ECM are more rapid than in a rigid ECM and the obtained growth pattern differs. The reasons for this are due to the changes in porosity induced by the tumor growth. These changes are inhibited in a rigid ECM. This enhanced computational model emphasizes the importance of properly characterizing the biomechanical behavior of the malignant mass in all its components to correctly predict its temporal and spatial pattern evolution.
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