ArticleJournal of mathematical biology2019
Simulation of glioblastoma growth using a 3D multispecies tumor model with mass effect.
Article in Journal of mathematical biology, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
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.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
23 citing papers in PubMed, 48 citations in OpenAlex.
- Characterizing Tumor Cell Movement in Partial Differential Equation Models of Triple-Negative Breast Cancer Receiving Neoadjuvant Therapy.Annals of biomedical engineering · 2026Article
- Inverse Problem Regularization for 3D Multi-Species Tumor Growth Models.International journal for numerical methods in biomedical engineering · 2025Article
- Individualizing glioma radiotherapy planning by optimization of a data and physics-informed discrete loss.Nature communications · 2025Article
- FastSurfer-LIT: Lesion inpainting tool for whole-brain MRI segmentation with tumors, cavities, and abnormalities.Imaging neuroscience (Cambridge, Mass.) · 2025Article
- Article
- Post-operative glioblastoma cancer cell distribution in the peritumoural oedema.Frontiers in oncology · 2024Article
- Predicting the spatio-temporal response of recurrent glioblastoma treated with rhenium-186 labelled nanoliposomes.Brain multiphysics · 2023Article
- Modelling microtube driven invasion of glioma.Journal of mathematical biology · 2023Article
- The Correlation of Sleep Disturbance and Location of Glioma Tumors: A Narrative Review.Journal of clinical medicine · 2023Review
- Ensemble Inversion for Brain Tumor Growth Models With Mass Effect.IEEE transactions on medical imaging · 2023Article
- Mathematical modelling of the dynamics of image-informed tumor habitats in a murine model of glioma.Scientific reports · 2023Article
- Image-localized biopsy mapping of brain tumor heterogeneity: A single-center study protocol.PloS one · 2023Article
- Opportunities for improving brain cancer treatment outcomes through imaging-based mathematical modeling of the delivery of radiotherapy and immunotherapy.Advanced drug delivery reviews · 2022Review
- Simulating the behaviour of glioblastoma multiforme based on patient MRI during treatments.Journal of mathematical biology · 2022Article
- Modelling glioma progression, mass effect and intracranial pressure in patient anatomy.Journal of the Royal Society, Interface · 2022Article
- Article
- Modeling of Glioma Growth With Mass Effect by Longitudinal Magnetic Resonance Imaging.IEEE transactions on bio-medical engineering · 2021Article
- Image-based personalization of computational models for predicting response of high-grade glioma to chemoradiation.Scientific reports · 2021Article
- Fully Automatic Calibration of Tumor-Growth Models Using a Single mpMRI Scan.IEEE transactions on medical imaging · 2021Article
- Multiatlas Calibration of Biophysical Brain Tumor Growth Models with Mass Effect.Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention · 2020Article
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 2 institutions in 1 country.
Funding
Abstract
In this article, we present a multispecies reaction-advection-diffusion partial differential equation coupled with linear elasticity for modeling tumor growth. The model aims to capture the phenomenological features of glioblastoma multiforme observed in magnetic resonance imaging (MRI) scans. These include enhancing and necrotic tumor structures, brain edema and the so-called "mass effect", a term-of-art that refers to the deformation of brain tissue due to the presence of the tumor. The multispecies model accounts for proliferating, invasive and necrotic tumor cells as well as a simple model for nutrition consumption and tumor-induced brain edema. The coupling of the model with linear elasticity equations with variable coefficients allows us to capture the mechanical deformations due to the tumor growth on surrounding tissues. We present the overall formulation along with a novel operator-splitting scheme with components that include linearly-implicit preconditioned elliptic solvers, and a semi-Lagrangian method for advection. We also present results showing simulated MRI images which highlight the capability of our method to capture the overall structure of glioblastomas in MRIs.
Indexed as
Identifiers
What OpenQuestion holds
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.