ArticleCell proliferation2006
Mathematical model for the cancer stem cell hypothesis.
Article in Cell proliferation, 2006. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 45 papers.
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Who cites it
45 citing papers in PubMed.
- Mechanistic Pharmacokinetic/Pharmacodynamic Model of Sunitinib and Dopamine in MCF-7/Adr Xenografts: Linking Cellular Heterogeneity to Tumour Burden.The AAPS journal · 2020Article
- The recent advances in the mathematical modelling of human pluripotent stem cells.SN applied sciences · 2020Review
- Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages.Bulletin of mathematical biology · 2018Article
- A mathematical model for IL-6-mediated, stem cell driven tumor growth and targeted treatment.PLoS computational biology · 2018Article
- A polynomial based model for cell fate prediction in human diseases.BMC systems biology · 2017Article
- Determining the control networks regulating stem cell lineages in colonic crypts.Journal of theoretical biology · 2017Article
- Modeling head and neck cancer stem cell-mediated tumorigenesis.Cellular and molecular life sciences : CMLS · 2016Review
- Near Equilibrium Calculus of Stem Cells in Application to the Airway Epithelium Lineage.PLoS computational biology · 2016Article
- In silico study of the impact of cancer stem cell dynamics and radiobiological hypoxia on tumour response to hyperfractionated radiotherapy.Cell proliferation · 2016Article
- Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations.Computational and mathematical methods in medicine · 2016Article
- The mathematics of cancer: integrating quantitative models.Nature reviews. Cancer · 2015Review
- The Role of Symmetric Stem Cell Divisions in Tissue Homeostasis.PLoS computational biology · 2015Article
- Analysis of stochastic stem cell models with control.Mathematical biosciences · 2015Article
- A multicompartment mathematical model of cancer stem cell-driven tumor growth dynamics.Bulletin of mathematical biology · 2014Article
- Modeling cell-cell interactions in regulating multiple myeloma initiating cell fate.IEEE journal of biomedical and health informatics · 2014Article
- Article
- Population dynamics of cancer cells with cell state conversions.Quantitative biology (Beijing, China) · 2013Article
- Article
- In vivo imaging-based mathematical modeling techniques that enhance the understanding of oncogene addiction in relation to tumor growth.Computational and mathematical methods in medicine · 2013Article
- Cancer Stem Cells: A Minor Cancer Subpopulation that Redefines Global Cancer Features.Frontiers in oncology · 2013Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Recent research on the origin of brain cancer has implicated a subpopulation of self-renewing brain cancer stem cells for malignant tumour growth. Various genes that regulate self-renewal in normal stem cells are also found in cancer stem cells. This implies that cancers can occur because of mutations in normal stem cells and early progenitor cells. A predictive mathematical model based on the cell compartment method is presented here to pose and validate non-intuitive scenarios proposed through the neural cancer stem cell hypothesis. The growths of abnormal (stem and early progenitor) cells from their normal counterparts are ascribed with separate mutation probabilities. Stem cell mutations are found to be more significant for the development of cancer than a similar mutation in the early progenitor cells. The model also predicts that, as previously hypothesized, repeated insult to mature cells increases the formation of abnormal progeny, and hence the risk of cancer.
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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.