ArticleJournal of the Royal Society, Interface2017
A mathematical model of tumour angiogenesis: growth, regression and regrowth.
Article in Journal of the Royal Society, Interface, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 33 papers.
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Who cites it
33 citing papers in PubMed.
- Analytical and numerical properties of an extended angiogenesis PDEs model.Journal of mathematical biology · 2025Article
- Temporal dynamics of angiogenesis: the emerging role of mechanoregulated pathways.Biochemical Society transactions · 2025Review
- Skin inflammatory signatures, as measured by disordered spatial redness patterns, predict current and future skin ageing attributes.Experimental dermatology · 2024Article
- Simulation of Soluble and Bound VEGF-stimulated in vitro Capillary-like Network Formation on Deformed Substrate.PLoS computational biology · 2024Article
- Disordered spatial pattern of redness signal on facial skin and visual perception of health, stress, and hidden aging.Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging (ISSI) · 2024Article
- Metastasis Models: Thermodynamics and Complexity.Methods in molecular biology (Clifton, N.J.) · 2024Article
- Approaches to vascular network, blood flow, and metabolite distribution modeling in brain tissue.Biophysical reviews · 2023Review
- Mechanistic characterization of oscillatory patterns in unperturbed tumor growth dynamics: The interplay between cancer cells and components of tumor microenvironment.PLoS computational biology · 2023Article
- Bridging Scales: a Hybrid Model to Simulate Vascular Tumor Growth and Treatment Response.ArXiv · 2023Article
- A mathematical model of fibrinogen-mediated erythrocyte-erythrocyte adhesion.Communications biology · 2023Article
- Towards integration of time-resolved confocal microscopy of a 3D in vitro microfluidic platform with a hybrid multiscale model of tumor angiogenesis.PLoS computational biology · 2023Article
- Modelling of chemotactic sprouting endothelial cells through an extracellular matrix.Frontiers in bioengineering and biotechnology · 2023Article
- Geometric analysis enables biological insight from complex non-identifiable models using simple surrogates.PLoS computational biology · 2023Article
- Integrating a dynamic central metabolism model of cancer cells with a hybrid 3D multiscale model for vascular hepatocellular carcinoma growth.Scientific reports · 2022Article
- Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments.Journal of mathematical biology · 2022Article
- A Fokker-Planck feedback control framework for optimal personalized therapies in colon cancer-induced angiogenesis.Journal of mathematical biology · 2022Article
- Angiogenesis goes computational - The future way forward to discover new angiogenic targets?Computational and structural biotechnology journal · 2022Review
- Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data.Cancers · 2021Review
- Topological data analysis distinguishes parameter regimes in the Anderson-Chaplain model of angiogenesis.PLoS computational biology · 2021Article
- Simulation of angiogenesis in three dimensions: Application to cerebral cortex.PLoS computational biology · 2021Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
Cancerous tumours have the ability to recruit new blood vessels through a process called angiogenesis. By stimulating vascular growth, tumours get connected to the circulatory system, receive nutrients and open a way to colonize distant organs. Tumour-induced vascular networks become unstable in the absence of tumour angiogenic factors (TAFs). They may undergo alternating stages of growth, regression and regrowth. Following a phase-field methodology, we propose a model of tumour angiogenesis that reproduces the aforementioned features and highlights the importance of vascular regression and regrowth. In contrast with previous theories which focus on vessel remodelling due to the absence of flow, we model an alternative regression mechanism based on the dependency of tumour-induced vascular networks on TAFs. The model captures capillaries at full scale, the plastic dynamics of tumour-induced vessel networks at long time scales, and shows the key role played by filopodia during angiogenesis. The predictions of our model are in agreement with in vivo experiments and may prove useful for the design of antiangiogenic therapies.
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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.