ArticleBulletin of mathematical biology2016
Feedback Regulation in a Cancer Stem Cell Model can Cause an Allee Effect.
Article in Bulletin of mathematical biology, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed, 44 citations in OpenAlex.
- Cancer treatment by radioimmunotherapy: insights from a dynamical model of cancer stem cells and hypoxia effects.Scientific reports · 2026Article
- Simulating Cancer Recurrence Patterns From Post-Treatment Viable Tumor Burden Distributions.JCO clinical cancer informatics · 2026Article
- Evolutionary rescue model informs strategies for driving cancer cell populations to extinction.bioRxiv : the preprint server for biology · 2025Article
- Dynamics of a diffusive model for cancer stem cells with time delay in microRNA-differentiated cancer cell interactions and radiotherapy effects.Scientific reports · 2024Article
- A survey of open questions in adaptive therapy: Bridging mathematics and clinical translation.eLife · 2023Article
- Article
- Spatial dynamics of feedback and feedforward regulation in cell lineages.PLoS computational biology · 2022Article
- Autocrine signaling can explain the emergence of Allee effects in cancer cell populations.PLoS computational biology · 2022Article
- Do mechanisms matter? Comparing cancer treatment strategies across mathematical models and outcome objectives.Mathematical biosciences and engineering : MBE · 2021Article
- Novel evolutionary dynamics of small populations in breast cancer adjuvant and neoadjuvant therapy.NPJ breast cancer · 2021Review
- Effect of feedback regulation on stem cell fractions in tissues and tumors: Understanding chemoresistance in cancer.Journal of theoretical biology · 2021Article
- Integrating evolutionary dynamics into cancer therapy.Nature reviews. Clinical oncology · 2020Review
- Eradicating Metastatic Cancer and the Eco-Evolutionary Dynamics of Anthropocene Extinctions.Cancer research · 2020Article
- Clonal pattern dynamics in tumor: the concept of cancer stem cells.Scientific reports · 2019Article
- Modeling heterogeneous tumor growth dynamics and cell-cell interactions at single-cell and cell-population resolution.Current opinion in systems biology · 2019Article
- Cancer cell population growth kinetics at low densities deviate from the exponential growth model and suggest an Allee effect.PLoS biology · 2019Article
- Effect of cellular de-differentiation on the dynamics and evolution of tissue and tumor cells in mathematical models with feedback regulation.Journal of theoretical biology · 2018Article
- Stability of Control Networks in Autonomous Homeostatic Regulation of Stem Cell Lineages.Bulletin of mathematical biology · 2018Article
- The role of Allee effect in modelling post resection recurrence of glioblastoma.PLoS computational biology · 2017Article
- Determining the control networks regulating stem cell lineages in colonic crypts.Journal of theoretical biology · 2017Article
Corrections and comments
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Authors and funding
3 authors at 2 institutions in 2 countries.
Funding
Abstract
The exact mechanisms of spontaneous tumor remission or complete response to treatment are phenomena in oncology that are not completely understood. We use a concept from ecology, the Allee effect, to help explain tumor extinction in a model of tumor growth that incorporates feedback regulation of stem cell dynamics, which occurs in many tumor types where certain signaling molecules, such as Wnts, are upregulated. Due to feedback and the Allee effect, a tumor may become extinct spontaneously or after therapy even when the entire tumor has not been eradicated by the end of therapy. We quantify the Allee effect using an 'Allee index' that approximates the area of the basin of attraction for tumor extinction. We show that effectiveness of combination therapy in cancer treatment may occur due to the increased probability that the system will be in the Allee region after combination treatment versus monotherapy. We identify therapies that can attenuate stem cell self-renewal, alter the Allee region and increase its size. We also show that decreased response of tumor cells to growth inhibitors can reduce the size of the Allee region and increase stem cell densities, which may help to explain why this phenomenon is a hallmark 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.