ArticleJournal of mathematical biology2009
Multiphase modelling of tumour growth and extracellular matrix interaction: mathematical tools and applications.
Article in Journal of mathematical biology, 2009. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 44 papers.
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Who cites it
44 citing papers in PubMed.
- Age-structured mechanical models for tumor growth.Journal of mathematical biology · 2026Article
- Spatial Segregation Across Travelling Fronts in Individual-Based and Continuum Models for the Growth of Heterogeneous Cell Populations.Bulletin of mathematical biology · 2025Article
- Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods.Journal of mathematical biology · 2025Review
- Sustained Physiological Stretch Induces Abdominal Skin Growth in Pregnancy.Annals of biomedical engineering · 2024Article
- Hybrid computational models of multicellular tumour growth considering glucose metabolism.Computational and structural biotechnology journal · 2023Review
- Travelling-Wave and Asymptotic Analysis of a Multiphase Moving Boundary Model for Engineered Tissue Growth.Bulletin of mathematical biology · 2022Article
- Simulation of 3D centimeter-scale continuum tumor growth at sub-millimeter resolution via distributed computing.Computers in biology and medicine · 2021Article
- Article
- A multiphase model of growth factor-regulated atherosclerotic cap formation.Journal of mathematical biology · 2020Article
- Investigating the Physical Effects in Bacterial Therapies for Avascular Tumors.Frontiers in microbiology · 2020Article
- A Biomechanical Model of Tumor-Induced Intracranial Pressure and Edema in Brain Tissue.Biophysical journal · 2019Article
- A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy.Journal of mathematical biology · 2018Article
- A monolithic multiphase porous medium framework for (a-)vascular tumor growth.Computer methods in applied mechanics and engineering · 2018Article
- In vivo mimicking model for solid tumor towards hydromechanics of tissue deformation and creation of necrosis.Journal of biological physics · 2018Article
- Tumorcode : A framework to simulate vascularized tumors.The European physical journal. E, Soft matter · 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 poroelastic mixture model of mechanobiological processes in biomass growth: theory and application to tissue engineering.Meccanica · 2017Article
- A Geometrically-Constrained Mathematical Model of Mammary Gland Ductal Elongation Reveals Novel Cellular Dynamics within the Terminal End Bud.PLoS computational biology · 2016Article
- Inferring Growth Control Mechanisms in Growing Multi-cellular Spheroids of NSCLC Cells from Spatial-Temporal Image Data.PLoS computational biology · 2016Article
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Authors and funding
2 authors.
Funding
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Abstract
Resorting to a multiphase modelling framework, tumours are described here as a mixture of tumour and host cells within a porous structure constituted by a remodelling extracellular matrix (ECM), which is wet by a physiological extracellular fluid. The model presented in this article focuses mainly on the description of mechanical interactions of the growing tumour with the host tissue, their influence on tumour growth, and the attachment/detachment mechanisms between cells and ECM. Starting from some recent experimental evidences, we propose to describe the interaction forces involving the extracellular matrix via some concepts coming from viscoplasticity. We then apply the model to the description of the growth of tumour cords and the formation of fibrosis.
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Registered trials
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.