ArticlePloS one2016
Mathematical Modelling of a Brain Tumour Initiation and Early Development: A Coupled Model of Glioblastoma Growth, Pre-Existing Vessel Co-Option, Angiogenesis and Blood Perfusion.
Article in PloS one, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed, 43 citations in OpenAlex.
- AMBER: A Modular Model for Tumor Growth, Vasculature and Radiation Response.Bulletin of mathematical biology · 2024Article
- Basic Pathogenic Mechanisms and Epigenetic Players Promoted by Extracellular Vesicles in Vascular Damage.International journal of molecular sciences · 2023Review
- A proof-of-concept pipeline to guide evaluation of tumor tissue perfusion by dynamic contrast-agent imaging: Direct simulation and inverse tracer-kinetic procedures.Frontiers in bioinformatics · 2023Article
- Double Immunohistochemical Staining on Formalin-Fixed Paraffin-Embedded Tissue Samples to Study Vascular Co-option.Methods in molecular biology (Clifton, N.J.) · 2023Article
- Spatiotemporal multi-scale modeling of radiopharmaceutical distributions in vascularized solid tumors.Scientific reports · 2022Article
- Liquid biopsies for early diagnosis of brain tumours:Journal of the Royal Society, Interface · 2022Article
- Vascular Co-Option and Other Alternative Modalities of Growth of Tumor Vasculature in Glioblastoma.Frontiers in oncology · 2022Review
- AnSmall methods · 2021Article
- Mathematical modeling of intraplaque neovascularization and hemorrhage in a carotid atherosclerotic plaque.Biomedical engineering online · 2021Article
- Multiscale modeling of glioma pseudopalisades: contributions from the tumor microenvironment.Journal of mathematical biology · 2021Article
- Experimental and computational analyses reveal dynamics of tumor vessel cooption and optimal treatment strategies.Proceedings of the National Academy of Sciences of the United States of America · 2019Article
- A mathematical model of angiogenesis and tumor growth: analysis and application in anti-angiogenesis therapy.Journal of mathematical biology · 2018Article
- Mathematical Modeling of the Function of Warburg Effect in Tumor Microenvironment.Scientific reports · 2018Article
- Predicting brain tumor regrowth in relation to motor areas by functional brain mapping.Neuro-oncology practice · 2018Article
- Multi-scale mathematical modelling of tumour growth and microenvironments in anti-angiogenic therapy.Biomedical engineering online · 2016Article
- The interrelationship between cerebral ischemic stroke and glioma: a comprehensive study of recent reports.Signal transduction and targeted therapyReview
Corrections and comments
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Authors and funding
4 authors at 3 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We propose a coupled mathematical modelling system to investigate glioblastoma growth in response to dynamic changes in chemical and haemodynamic microenvironments caused by pre-existing vessel co-option, remodelling, collapse and angiogenesis. A typical tree-like architecture network with different orders for vessel diameter is designed to model pre-existing vasculature in host tissue. The chemical substances including oxygen, vascular endothelial growth factor, extra-cellular matrix and matrix degradation enzymes are calculated based on the haemodynamic environment which is obtained by coupled modelling of intravascular blood flow with interstitial fluid flow. The haemodynamic changes, including vessel diameter and permeability, are introduced to reflect a series of pathological characteristics of abnormal tumour vessels including vessel dilation, leakage, angiogenesis, regression and collapse. Migrating cells are included as a new phenotype to describe the migration behaviour of malignant tumour cells. The simulation focuses on the avascular phase of tumour development and stops at an early phase of angiogenesis. The model is able to demonstrate the main features of glioblastoma growth in this phase such as the formation of pseudopalisades, cell migration along the host vessels, the pre-existing vasculature co-option, angiogenesis and remodelling. The model also enables us to examine the influence of initial conditions and local environment on the early phase of glioblastoma growth.
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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.