ArticleJournal of biological dynamics2012
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy.
Article in Journal of biological dynamics, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 25 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
25 citing papers in PubMed, 75 citations in OpenAlex.
- Revealing physical properties of gastric adenocarcinoma cells with two distinct morphologies linking to preferential cellular migration and proliferation.Cell communication and signaling : CCS · 2026Article
- New Player in the Field of Glioblastoma Therapy: EGFRvIII-Specific Gol1 Aptamer Shows a Great Therapeutic Potential.Pharmaceutics · 2026Article
- Go-or-grow models in biology: a monster on a leash.Journal of mathematical biology · 2025Review
- Deep learning identifies heterogeneous subpopulations in breast cancer cell lines.npj biomedical innovations · 2025Article
- Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods.Journal of mathematical biology · 2025Review
- Mathematical modeling of multicellular tumor spheroids quantifies inter-patient and intra-tumor heterogeneity.NPJ systems biology and applications · 2025Article
- Evolution of phenotypic plasticity leads to tumor heterogeneity with implications for therapy.PLoS computational biology · 2024Article
- Modelling microtube driven invasion of glioma.Journal of mathematical biology · 2023Article
- Traveling wave speed and profile of a "go or grow" glioblastoma multiforme model.Communications in nonlinear science & numerical simulation · 2023Article
- Modelling glioma progression, mass effect and intracranial pressure in patient anatomy.Journal of the Royal Society, Interface · 2022Article
- Image-based personalization of computational models for predicting response of high-grade glioma to chemoradiation.Scientific reports · 2021Article
- A review of dynamical systems approaches for the detection of chaotic attractors in cancer networks.Patterns (New York, N.Y.) · 2021Review
- WHERE DID THE TUMOR START? AN INVERSE SOLVER WITH SPARSE LOCALIZATION FOR TUMOR GROWTH MODELS.Inverse problems · 2020Article
- Simulation of glioblastoma growth using a 3D multispecies tumor model with mass effect.Journal of mathematical biology · 2019Article
- A Brownian dynamics tumor progression simulator with application to glioblastoma.Convergent science physical oncology · 2018Article
- The biology and mathematical modelling of glioma invasion: a review.Journal of the Royal Society, Interface · 2017Review
- Instability of turing patterns in reaction-diffusion-ODE systems.Journal of mathematical biology · 2017Article
- Density-Dependent Regulation of Glioma Cell Proliferation and Invasion Mediated by miR-9.Cancer microenvironment : official journal of the International Cancer Microenvironment Society · 2016Article
- Why one-size-fits-all vaso-modulatory interventions fail to control glioma invasion: in silico insights.Scientific reports · 2016Article
- An Emerging Allee Effect Is Critical for Tumor Initiation and Persistence.PLoS computational biology · 2015Article
Corrections and comments
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Authors and funding
7 authors at 3 institutions in 2 countries.
Funding
Abstract
Gliomas are very aggressive brain tumours, in which tumour cells gain the ability to penetrate the surrounding normal tissue. The invasion mechanisms of this type of tumour remain to be elucidated. Our work is motivated by the migration/proliferation dichotomy (go-or-grow) hypothesis, i.e. the antagonistic migratory and proliferating cellular behaviours in a cell population, which may play a central role in these tumours. In this paper, we formulate a simple go-or-grow model to investigate the dynamics of a population of glioma cells for which the switch from a migratory to a proliferating phenotype (and vice versa) depends on the local cell density. The model consists of two reaction-diffusion equations describing cell migration, proliferation and a phenotypic switch. We use a combination of numerical and analytical techniques to characterize the development of spatio-temporal instabilities and travelling wave solutions generated by our model. We demonstrate that the density-dependent go-or-grow mechanism can produce complex dynamics similar to those associated with tumour heterogeneity and invasion.
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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.