ArticleScientific reports2021
Spatiotemporal dynamics of a glioma immune interaction model.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Mechanisms of inflammatory response in secondary brain injury: a review of computational approaches, challenges, and future directions.Biomechanics and modeling in mechanobiology · 2026Review
- Fractional spatiotemporal Hahnfeldt tumor model with convergence analysis and optimal control.Scientific reports · 2026Article
- Modeling the influence of global warming on carbon, phytoplankton, and zooplankton dynamics.Scientific reports · 2025Article
- Optimal control of combination immunotherapy for a virtual murine cohort in a glioblastoma-immune dynamics model.Journal of theoretical biology · 2024Article
- Spatial computational modelling illuminates the role of the tumour microenvironment for treating glioblastoma with immunotherapies.NPJ systems biology and applications · 2024Article
- Optimal control of combination immunotherapy for a virtual murine cohort in a glioblastoma-immune dynamics model.bioRxiv : the preprint server for biology · 2024Article
- Metabolic reprogramming and signalling cross-talks in tumour-immune interaction: a system-level exploration.Royal Society open science · 2024Article
- Article
- KDELR1 Is an Independent Prognostic Predictor and Correlates With Immunity in Glioma.Frontiers in oncology · 2022Article
- A novel necroptosis-related lncRNA based signature predicts prognosis and response to treatment in cervical cancer.Frontiers in genetics · 2022Article
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Authors and funding
2 authors.
Funding
Abstract
We report a mathematical model which depicts the spatiotemporal dynamics of glioma cells, macrophages, cytotoxic-T-lymphocytes, immuno-suppressive cytokine TGF-β and immuno-stimulatory cytokine IFN-γ through a system of five coupled reaction-diffusion equations. We performed local stability analysis of the biologically based mathematical model for the growth of glioma cell population and their environment. The presented stability analysis of the model system demonstrates that the temporally stable positive interior steady state remains stable under the small inhomogeneous spatiotemporal perturbations. The irregular spatiotemporal dynamics of gliomas, macrophages and cytotoxic T-lymphocytes are discussed extensively and some numerical simulations are presented. Performed some numerical simulations in both one and two dimensional spaces. The occurrence of heterogeneous pattern formation of the system has both biological and mathematical implications and the concepts of glioma cell progression and invasion are considered. Simulation of the model shows that by increasing the value of time, the glioma cell population, macrophages and cytotoxic-T-lymphocytes spread throughout the domain.
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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.