ArticleJournal of mathematical biology2014
A general reaction-diffusion model of acidity in cancer invasion.
Article in Journal of mathematical biology, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
What it found
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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.
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Who cites it
6 citing papers in PubMed, 72 citations in OpenAlex.
- Tumor alkalization therapy: misconception or good therapeutics perspective? - the case of malignant ascites.Frontiers in oncology · 2024Article
- Mathematical modeling of therapeutic neural stem cell migration in mouse brain with and without brain tumors.Mathematical biosciences and engineering : MBE · 2022Article
- Travelling-wave analysis of a model of tumour invasion with degenerate, cross-dependent diffusion.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
- Mix and Match: Phenotypic Coexistence as a Key Facilitator of Cancer Invasion.Bulletin of mathematical biology · 2020Article
- pH as a potential therapeutic target to improve temozolomide antitumor efficacy : A mechanistic modeling study.Pharmacology research & perspectives · 2019Article
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Corrections and comments
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Authors and funding
4 authors at 2 institutions in 1 country.
Funding
Abstract
We model the metabolism and behaviour of a developing cancer tumour in the context of its microenvironment, with the aim of elucidating the consequences of altered energy metabolism. Of particular interest is the Warburg Effect, a widespread preference in tumours for cytosolic glycolysis rather than oxidative phosphorylation for glucose breakdown, as yet incompletely understood. We examine a candidate explanation for the prevalence of the Warburg Effect in tumours, the acid-mediated invasion hypothesis, by generalising a canonical non-linear reaction-diffusion model of acid-mediated tumour invasion to consider additional biological features of potential importance. We apply both numerical methods and a non-standard asymptotic analysis in a travelling wave framework to obtain an explicit understanding of the range of tumour behaviours produced by the model and how fundamental parameters govern the speed and shape of invading tumour waves. Comparison with conclusions drawn under the original system--a special case of our generalised system--allows us to comment on the structural stability and predictive power of the modelling framework.
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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.