IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0224787.html
   My bibliography  Save this article

Mathematical modeling reveals the factors involved in the phenomena of cancer stem cells stabilization

Author

Listed:
  • Nikolay Bessonov
  • Guillaume Pinna
  • Andrey Minarsky
  • Annick Harel-Bellan
  • Nadya Morozova

Abstract

Cancer Stem Cells (CSC), a subset of cancer cells resembling normal stem cells with self-renewal and asymmetric division capabilities, are present at various but low proportions in many tumors and are thought to be responsible for tumor relapses following conventional cancer therapies. In vitro, most intriguingly, isolated CSCs rapidly regenerate the original population of stem and non-stem cells (non-CSCs) as shown by various investigators. This phenomenon still remains to be explained. We propose a mathematical model of cancer cell population dynamics, based on the main parameters of cell population growth, including the proliferation rates, the rates of cell death and the frequency of symmetric and asymmetric cell divisions both in CSCs and non-CSCs sub-populations, and taking into account the stabilization phenomenon. The analysis of the model allows determination of time-varying corridors of probabilities for different cell fates, given the particular dynamics of cancer cells populations; and determination of a cell-cell communication factors influencing these time-varying probabilities of cell behavior (division, transition) scenarios. Though the results of the model have to be experimentally confirmed, we can anticipate the development of several fundamental and practical applications based on the theoretical results of the model.

Suggested Citation

  • Nikolay Bessonov & Guillaume Pinna & Andrey Minarsky & Annick Harel-Bellan & Nadya Morozova, 2019. "Mathematical modeling reveals the factors involved in the phenomena of cancer stem cells stabilization," PLOS ONE, Public Library of Science, vol. 14(11), pages 1-24, November.
    • Handle: RePEc:plo:pone00:0224787
    DOI: 10.1371/journal.pone.0224787
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0224787
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0224787&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0224787?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. d’Onofrio, Alberto & Caravagna, Giulio & de Franciscis, Sebastiano, 2018. "Bounded noise induced first-order phase transitions in a baseline non-spatial model of gene transcription," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 2056-2068.
    2. Lucia Ricci-Vitiani & Dario G. Lombardi & Emanuela Pilozzi & Mauro Biffoni & Matilde Todaro & Cesare Peschle & Ruggero De Maria, 2007. "Identification and expansion of human colon-cancer-initiating cells," Nature, Nature, vol. 445(7123), pages 111-115, January.
    3. Catherine A. O’Brien & Aaron Pollett & Steven Gallinger & John E. Dick, 2007. "A human colon cancer cell capable of initiating tumour growth in immunodeficient mice," Nature, Nature, vol. 445(7123), pages 106-110, January.
    4. Aaron Goldman & Biswanath Majumder & Andrew Dhawan & Sudharshan Ravi & David Goldman & Mohammad Kohandel & Pradip K. Majumder & Shiladitya Sengupta, 2015. "Temporally sequenced anticancer drugs overcome adaptive resistance by targeting a vulnerable chemotherapy-induced phenotypic transition," Nature Communications, Nature, vol. 6(1), pages 1-13, May.
    5. Tannishtha Reya & Sean J. Morrison & Michael F. Clarke & Irving L. Weissman, 2001. "Stem cells, cancer, and cancer stem cells," Nature, Nature, vol. 414(6859), pages 105-111, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zeinab Tavasoli & Parviz Abdolmaleki & Seyed Javad Mowla & Faezeh Ghanati & Amir Sabet Sarvestani, 2009. "Investigation of the effects of static magnetic field on apoptosis in bone marrow stem cells of rat," Environment Systems and Decisions, Springer, vol. 29(2), pages 220-224, June.
    2. Siegmund Kimberly D. & Marjoram Paul & Shibata Darryl, 2008. "Modeling DNA Methylation in a Population of Cancer Cells," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 7(1), pages 1-23, June.
    3. Meacci, Luca & Primicerio, Mario & Buscaglia, Gustavo Carlos, 2021. "Growth of tumours with stem cells: The effect of crowding and ageing of cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    4. Shuyan Liu & Chengfei Liu & Xiaoyun Min & Yuanyuan Ji & Na Wang & Dan Liu & Jiangyi Cai & Ke Li, 2013. "Prognostic Value of Cancer Stem Cell Marker Aldehyde Dehydrogenase in Ovarian Cancer: A Meta-Analysis," PLOS ONE, Public Library of Science, vol. 8(11), pages 1-1, November.
    5. Bobryk, R.V., 2021. "Stability analysis of a SIR epidemic model with random parametric perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    6. Christopher R S Banerji & Simone Severini & Carlos Caldas & Andrew E Teschendorff, 2015. "Intra-Tumour Signalling Entropy Determines Clinical Outcome in Breast and Lung Cancer," PLOS Computational Biology, Public Library of Science, vol. 11(3), pages 1-23, March.
    7. Qing Chen & Xin Zhang & Wei-Min Li & Yu-Qiang Ji & Hao-Zhe Cao & Pengsheng Zheng, 2014. "Prognostic Value of LGR5 in Colorectal Cancer: A Meta-Analysis," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-9, September.
    8. Peter Kovacic & Ratnasamy Somanathan, 2017. "Unifying Mechanism for Nutrients as Anticancer Agents: Electron Transfer, Reactive Oxygen Species and Oxidative Stress," Global Journal of Health Science, Canadian Center of Science and Education, vol. 9(8), pages 1-66, August.
    9. Mikhail Langovoy & Olaf Wittich, 2013. "Randomized algorithms for statistical image analysis and site percolation on square lattices," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 67(3), pages 337-353, August.
    10. Isabelle Bartram & Jonathan M Jeschke, 2019. "Do cancer stem cells exist? A pilot study combining a systematic review with the hierarchy-of-hypotheses approach," PLOS ONE, Public Library of Science, vol. 14(12), pages 1-12, December.
    11. Tang Peng & Ma Qinghua & Tang Zhenning & Wang Kaifa & Jiang Jun, 2011. "Long-Term Sphere Culture Cannot Maintain a High Ratio of Cancer Stem Cells: A Mathematical Model and Experiment," PLOS ONE, Public Library of Science, vol. 6(11), pages 1-6, November.
    12. Yan Gu & Yanrong Chen & Lai Wei & Shuang Wu & Kaicheng Shen & Chengxiang Liu & Yan Dong & Yang Zhao & Yue Zhang & Chi Zhang & Wenling Zheng & Jiangyi He & Yunlong Wang & Yifei Li & Xiaoxin Zhao & Hong, 2021. "ABHD5 inhibits YAP-induced c-Met overexpression and colon cancer cell stemness via suppressing YAP methylation," Nature Communications, Nature, vol. 12(1), pages 1-15, December.
    13. N. Timurkaan & H. Eroksuz & A. Cevik & B. Karabulut, 2016. "Cutaneous leiomyosarcoma with osteoid metaplasia in a budgerigar (Melopsittacus undulatus): a case report," Veterinární medicína, Czech Academy of Agricultural Sciences, vol. 61(9), pages 533-537.
    14. Sefora Conti & Valeria Venturini & Adrià Cañellas-Socias & Carme Cortina & Juan F. Abenza & Camille Stephan-Otto Attolini & Emily Middendorp Guerra & Catherine K. Xu & Jia Hui Li & Leone Rossetti & Gi, 2024. "Membrane to cortex attachment determines different mechanical phenotypes in LGR5+ and LGR5- colorectal cancer cells," Nature Communications, Nature, vol. 15(1), pages 1-17, December.
    15. Tin-Lok Wong & Jia-Jian Loh & Shixun Lu & Helen H. N. Yan & Hoi Cheong Siu & Ren Xi & Dessy Chan & Max J. F. Kam & Lei Zhou & Man Tong & John A. Copland & Leilei Chen & Jing-Ping Yun & Suet Yi Leung &, 2023. "ADAR1-mediated RNA editing of SCD1 drives drug resistance and self-renewal in gastric cancer," Nature Communications, Nature, vol. 14(1), pages 1-18, December.
    16. Kamyab Karimi & Ali Ghodratnama & Reza Tavakkoli-Moghaddam, 2023. "Two new feature selection methods based on learn-heuristic techniques for breast cancer prediction: a comprehensive analysis," Annals of Operations Research, Springer, vol. 328(1), pages 665-700, September.
    17. Huiru Bai & Xiaoqin Liu & Meizhen Lin & Yuan Meng & Ruolan Tang & Yajing Guo & Nan Li & Michael F. Clarke & Shang Cai, 2024. "Progressive senescence programs induce intrinsic vulnerability to aging-related female breast cancer," Nature Communications, Nature, vol. 15(1), pages 1-19, December.
    18. Vincenzo Salemme & Mauro Vedelago & Alessandro Sarcinella & Federico Moietta & Alessio Piccolantonio & Enrico Moiso & Giorgia Centonze & Marta Manco & Andrea Guala & Alessia Lamolinara & Costanza Ange, 2023. "p140Cap inhibits β-Catenin in the breast cancer stem cell compartment instructing a protective anti-tumor immune response," Nature Communications, Nature, vol. 14(1), pages 1-22, December.
    19. Chahrazed Benosman & Bedr’Eddine Aïnseba & Arnaud Ducrot, 2015. "Optimization of Cytostatic Leukemia Therapy in an Advection–Reaction–Diffusion Model," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 296-325, October.
    20. Jing Gao & Xingyu Jiang & Shumin Lei & Wenhao Cheng & Yi Lai & Min Li & Lei Yang & Peifeng Liu & Xiao-hua Chen & Min Huang & Haijun Yu & Huixiong Xu & Zhiai Xu, 2024. "A region-confined PROTAC nanoplatform for spatiotemporally tunable protein degradation and enhanced cancer therapy," Nature Communications, Nature, vol. 15(1), pages 1-18, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0224787. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.