ArticlePloS one2016
A Mathematical Model Coupling Tumor Growth and Angiogenesis.
Article in PloS one, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed, 115 citations in OpenAlex.
- Analytical and numerical properties of an extended angiogenesis PDEs model.Journal of mathematical biology · 2025Article
- Mathematical modeling and simulation of tumor-induced angiogenesis in retinal hemangioblastoma.PLoS computational biology · 2025Article
- A Monte-Carlo planning strategy for medical follow-up optimization: Illustration on multiple myeloma data.PloS one · 2024Article
- Computational simulations of tumor growth and treatment response: Benefits of high-frequency, low-dose drug regimens and concurrent vascular normalization.PLoS computational biology · 2023Article
- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- 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
- Image-based angio-adaptation modelling: a playground to study cerebrovascular development.Frontiers in physiology · 2023Article
- Modelling of chemotactic sprouting endothelial cells through an extracellular matrix.Frontiers in bioengineering and biotechnology · 2023Article
- On modeling the multiscale mechanobiology of soft tissues: Challenges and progress.Biophysics reviews · 2022Review
- Spatiotemporal multi-scale modeling of radiopharmaceutical distributions in vascularized solid tumors.Scientific reports · 2022Article
- A Proof-of-Concept Study Using Numerical Simulations of an Acoustic Spheroid-on-a-Chip Platform for Improving 3D Cell Culture.Sensors (Basel, Switzerland) · 2021Article
- Mathematical simulation of tumour angiogenesis: angiopoietin balance is a key factor in vessel growth and regression.Scientific reports · 2021Article
- A multiscale model of complex endothelial cell dynamics in early angiogenesis.PLoS computational biology · 2021Article
- Phase-field modeling of constrained interactive fungal networks.Journal of the mechanics and physics of solids · 2020Article
- Longitudinal brain tumor segmentation prediction in MRI using feature and label fusion.Biomedical signal processing and control · 2020Article
- The Role of Proteoglycans in Cancer Metastasis and Circulating Tumor Cell Analysis.Frontiers in cell and developmental biology · 2020Review
- Fine-grained simulations of the microenvironment of vascularized tumours.Scientific reports · 2019Article
- Review
- A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy.Journal of mathematical biology · 2018Article
- Computational modelling suggests complex interactions between interstitial flow and tumour angiogenesis.Journal of the Royal Society, Interface · 2018Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
3 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present a mathematical model for vascular tumor growth. We use phase fields to model cellular growth and reaction-diffusion equations for the dynamics of angiogenic factors and nutrients. The model naturally predicts the shift from avascular to vascular growth at realistic scales. Our computations indicate that the negative regulation of the Delta-like ligand 4 signaling pathway slows down tumor growth by producing a larger density of non-functional capillaries. Our results show good quantitative agreement with experiments.
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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.