ArticleCell proliferation2007
Mathematical model for chemotherapeutic drug efficacy in arresting tumour growth based on the cancer stem cell hypothesis.
Article in Cell proliferation, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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Who cites it
21 citing papers in PubMed, 39 citations in OpenAlex.
- 3D Cell Printing and Manipulation with Magnetic Bioinks.Biomedicines · 2026Review
- Patient-Specific Mathematical Model of the Clear Cell Renal Cell Carcinoma Microenvironment.Journal of personalized medicine · 2022Article
- Mechanistic Pharmacokinetic/Pharmacodynamic Model of Sunitinib and Dopamine in MCF-7/Adr Xenografts: Linking Cellular Heterogeneity to Tumour Burden.The AAPS journal · 2020Article
- Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages.Bulletin of mathematical biology · 2018Article
- Modeling three-dimensional invasive solid tumor growth in heterogeneous microenvironment under chemotherapy.PloS one · 2018Article
- Determining the control networks regulating stem cell lineages in colonic crypts.Journal of theoretical biology · 2017Article
- Near Equilibrium Calculus of Stem Cells in Application to the Airway Epithelium Lineage.PLoS computational biology · 2016Article
- 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
- What Tumor Dynamics Modeling Can Teach us About Exploiting the Stem-Cell View for Better Cancer Treatment.Cancer informatics · 2015Review
- A patient-specific therapeutic approach for tumour cell population extinction and drug toxicity reduction using control systems-based dose-profile design.Theoretical biology & medical modelling · 2013Article
- Article
- Mathematical model of heterogeneous cancer growth with an autocrine signalling pathway.Cell proliferation · 2012Article
- A simple mathematical model based on the cancer stem cell hypothesis suggests kinetic commonalities in solid tumor growth.PloS one · 2012Article
- Mathematical model of the role of intercellular signalling in intercellular cooperation during tumorigenesis.Cell proliferation · 2011Article
- Coupled mathematical model of tumorigenesis and angiogenesis in vascular tumours.Cell proliferation · 2010Article
- Epigenetic regulation of cancer stem cells in liver cancer: current concepts and clinical implications.Journal of hepatology · 2010Review
- Stem cells in hepatocarcinogenesis: evidence from genomic data.Seminars in liver disease · 2010Review
- Hybrid mathematical model of glioma progression.Cell proliferation · 2009Article
- Characterization of brain cancer stem cells: a mathematical approach.Cell proliferation · 2009Article
Corrections and comments
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Authors and funding
2 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
objectiveCancer stem cells have been identified as the growth root for various malignant tumours and are thought to be responsible for cancer recurrence following treatment. MATERIALS AND
methodsHere, a predictive mathematical model for the cancer stem cell hypothesis is used to understand tumour responses to chemotherapeutic drugs and judge the efficacy of treatments in arresting tumour growth. The impact of varying drug efficacies on different abnormal cell populations is investigated through the kinetics associated with their decline in response to therapy. RESULTS AND
conclusionsThe model predicts the clinically established 'dandelion phenomenon' and suggests that the best response to chemotherapy occurs when a drug targets abnormal stem cells. We compare continuous and periodic drug infusion. For the latter, we examine the relative importance of the drug cell-kill rate and the mean time between successive therapies, to identify the key attributes for successful treatment.
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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.