ArticleJournal of mathematical biology2015
Glioma follow white matter tracts: a multiscale DTI-based model.
Article in Journal of mathematical biology, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 31 papers.
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Who cites it
31 citing papers in PubMed.
- The Brain Imaging Collaboration Suite (BrICS): A Cloud Platform for Integrating Whole-Brain Spectroscopic MRI into the Radiation Therapy Planning Workflow.Tomography (Ann Arbor, Mich.) · 2019Trial
- Anatomically aware simulation of patient-specific glioblastoma xenografts.PLoS computational biology · 2026Article
- Go-or-grow models in biology: a monster on a leash.Journal of mathematical biology · 2025Review
- How gliomas affect white matter tract bundles associated with the limbic cortex.Neuroimage. Reports · 2025Article
- Phenotype structuring in collective cell migration: a tutorial of mathematical models and methods.Journal of mathematical biology · 2025Review
- Modelling non-local cell-cell adhesion: a multiscale approach.Journal of mathematical biology · 2024Article
- Qualitative and Visual Along-Tract Analysis of Diffusion-Based Parameters in Patients with Diffuse Gliomas.Brain sciences · 2024Article
- Post-operative glioblastoma cancer cell distribution in the peritumoural oedema.Frontiers in oncology · 2024Article
- Modelling microtube driven invasion of glioma.Journal of mathematical biology · 2023Article
- Data-driven spatio-temporal modelling of glioblastoma.Royal Society open science · 2023Review
- Feasibility and clinical usefulness of modelling glioblastoma migration in adjuvant radiotherapy.Zeitschrift fur medizinische Physik · 2022Article
- Modelling glioma progression, mass effect and intracranial pressure in patient anatomy.Journal of the Royal Society, Interface · 2022Article
- Multi-Cue Kinetic Model with Non-Local Sensing for Cell Migration on a Fiber Network with Chemotaxis.Bulletin of mathematical biology · 2022Article
- Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors.Mathematical biosciences and engineering : MBE · 2022Article
- Application of Magnetic Resonance DTI Technique in Evaluating the Effect of Postoperative Exercise Rehabilitation.Journal of healthcare engineering · 2022Article
- Editorial: Investigating the gliomas/white matter interplay and its implications for multidisciplinary treatment: State of art and future perspectives.Frontiers in neuroscience · 2022Article
- Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment.Journal of mathematical biology · 2021Article
- The link between gliomas infiltration and white matter architecture investigated with electron microscopy and diffusion tensor imaging.NeuroImage. Clinical · 2021Article
- Kinetic models with non-local sensing determining cell polarization and speed according to independent cues.Journal of mathematical biology · 2020Article
- Pineal Gland Tumor Microenvironment.Advances in experimental medicine and biology · 2020Review
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Gliomas are a class of rarely curable tumors arising from abnormal glia cells in the human brain. The understanding of glioma spreading patterns is essential for both radiological therapy as well as surgical treatment. Diffusion tensor imaging (DTI) allows to infer the white matter fibre structure of the brain in a noninvasive way. Painter and Hillen (J Theor Biol 323:25-39, 2013) used a kinetic partial differential equation to include DTI data into a class of anisotropic diffusion models for glioma spread. Here we extend this model to explicitly include adhesion mechanisms between glioma cells and the extracellular matrix components which are associated to white matter tracts. The mathematical modelling follows the multiscale approach proposed by Kelkel and Surulescu (Math Models Methods Appl Sci 23(3), 2012). We use scaling arguments to deduce a macroscopic advection-diffusion model for this process. The tumor diffusion tensor and the tumor drift velocity depend on both, the directions of the white matter tracts as well as the binding dynamics of the adhesion molecules. The advanced computational platform DUNE enables us to accurately solve our macroscopic model. It turns out that the inclusion of cell binding dynamics on the microlevel is an important factor to explain finger-like spread of glioma.
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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.