ArticleBiophysical journal2007
A mathematical model of glioblastoma tumor spheroid invasion in a three-dimensional in vitro experiment.
Article in Biophysical journal, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 103 papers.
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Who cites it
103 citing papers in PubMed, 243 citations in OpenAlex.
- Mapping radiosensitivity in glioblastoma using MR elastography and biomechanical modeling.Scientific reports · 2026Article
- Go-or-grow models in biology: a monster on a leash.Journal of mathematical biology · 2025Review
- Spatiotemporal dynamics of tumor-CAR T-cell interaction following local administration in solid cancers.PLoS computational biology · 2025Article
- Mathematical modeling of multicellular tumor spheroids quantifies inter-patient and intra-tumor heterogeneity.NPJ systems biology and applications · 2025Article
- Tissue stresses caused by invasive tumour: a biomechanical model.Journal of the Royal Society, Interface · 2025Article
- The impact of tumor microenvironment and treatment schedule on the effectiveness of radiation therapy.PloS one · 2025Article
- The self-organized structure of glioma oncostreams and the disruptive role of passive cells.Scientific reports · 2024Article
- Cancer cell sedimentation in 3D cultures reveals active migration regulated by self-generated gradients and adhesion sites.PLoS computational biology · 2024Article
- Elastocapillary effects determine early matrix deformation by glioblastoma cell spheroids.APL bioengineering · 2024Article
- A hybrid physics-based and data-driven framework for cellular biological systems: Application to the morphogenesis of organoids.iScience · 2023Article
- Advanced 3D Models of Human Brain Tissue Using Neural Cell Lines: State-of-the-Art and Future Prospects.Cells · 2023Review
- Traveling wave speed and profile of a "go or grow" glioblastoma multiforme model.Communications in nonlinear science & numerical simulation · 2023Article
- Development of a scoring function for comparing simulated and experimental tumor spheroids.PLoS computational biology · 2023Article
- Review
- Coupling solid and fluid stresses with brain tumour growth and white matter tract deformations in a neuroimaging-informed model.Biomechanics and modeling in mechanobiology · 2022Article
- Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments.Journal of mathematical biology · 2022Article
- Article
- Atorvastatin-mediated rescue of cancer-related cognitive changes in combined anticancer therapies.PLoS computational biology · 2021Article
- Mathematical model of STAT signalling pathways in cancer development and optimal control approaches.Royal Society open science · 2021Article
- Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment.Journal of mathematical biology · 2021Article
43 more citing papers are in PubMed but not listed here.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
5 authors at 3 institutions in 1 country.
Funding
Abstract
Glioblastoma, the most malignant form of brain cancer, is responsible for 23% of primary brain tumors and has extremely poor outcome. Confounding the clinical management of glioblastomas is the extreme local invasiveness of these cancer cells. The mechanisms that govern invasion are poorly understood. To gain insight into glioblastoma invasion, we conducted experiments on the patterns of growth and dispersion of U87 glioblastoma tumor spheroids in a three-dimensional collagen gel. We studied two different cell lines, one with a mutation to the EGFR (U87DeltaEGFR) that is associated with increased malignancy, and one with an endogenous (wild-type) receptor (U87WT). We developed a continuum mathematical model of the dispersion behaviors with the aim of identifying and characterizing discrete cellular mechanisms underlying invasive cell motility. The mathematical model quantitatively reproduces the experimental data, and indicates that the U87WT invasive cells have a stronger directional motility bias away from the spheroid center as well as a faster rate of cell shedding compared to the U87DeltaEGFR cells. The model suggests that differences in tumor cell dispersion may be due to differences in the chemical factors produced by cells, differences in how the two cell lines remodel the gel, or different cell-cell adhesion characteristics.
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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.