IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0025518.html
   My bibliography  Save this article

Long-Term Sphere Culture Cannot Maintain a High Ratio of Cancer Stem Cells: A Mathematical Model and Experiment

Author

Listed:
  • Tang Peng
  • Ma Qinghua
  • Tang Zhenning
  • Wang Kaifa
  • Jiang Jun

Abstract

Acquiring abundant and high-purity cancer stem cells (CSCs) is an important prerequisite for CSC research. At present, researchers usually gain high-purity CSCs through flow cytometry sorting and expand them by short-term sphere culture. However, it is still uncertain whether we can amplify high-purity CSCs through long-term sphere culture. We have proposed a mathematical model using ordinary differential equations to derive the continuous variation of the CSC ratio in long-term sphere culture and estimated the model parameters based on a long-term sphere culture of MCF-7 stem cells. We found that the CSC ratio in long-term sphere culture presented as gradually decreased drift and might be stable at a lower level. Furthermore, we found that fitted model parameters could explain the main growth pattern of CSCs and differentiated cancer cells in long-term sphere culture.

Suggested Citation

  • 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.
    • Handle: RePEc:plo:pone00:0025518
    DOI: 10.1371/journal.pone.0025518
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0025518
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0025518&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0025518?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. Sean J. Morrison & Judith Kimble, 2006. "Asymmetric and symmetric stem-cell divisions in development and cancer," Nature, Nature, vol. 441(7097), pages 1068-1074, June.
    2. 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. 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.
    6. Zheng Hu & Yun-Xin Fu & Anthony J Greenberg & Chung-I Wu & Weiwei Zhai, 2013. "Age-Dependent Transition from Cell-Level to Population-Level Control in Murine Intestinal Homeostasis Revealed by Coalescence Analysis," PLOS Genetics, Public Library of Science, vol. 9(2), pages 1-10, February.
    7. 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.
    8. 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.
    9. 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.
    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. 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.
    12. 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.
    13. 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.
    14. Sharif M. Ridwan & Autumn Twillie & Samaneh Poursaeid & Emma Kristine Beard & Muhammed Burak Bener & Matthew Antel & Ann E. Cowan & Shinya Matsuda & Mayu Inaba, 2024. "Diffusible fraction of niche BMP ligand safeguards stem-cell differentiation," Nature Communications, Nature, vol. 15(1), pages 1-17, December.
    15. 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.
    16. Junho Lee & Jin Su Kim & Yangjin Kim, 2021. "Atorvastatin-mediated rescue of cancer-related cognitive changes in combined anticancer therapies," PLOS Computational Biology, Public Library of Science, vol. 17(10), pages 1-28, October.
    17. Octavio Martínez & M Humberto Reyes-Valdés & Luis Herrera-Estrella, 2010. "Cancer Reduces Transcriptome Specialization," PLOS ONE, Public Library of Science, vol. 5(5), pages 1-10, May.
    18. Deeptha Ishwar & Rupa Haldavnekar & Krishnan Venkatakrishnan & Bo Tan, 2022. "Minimally invasive detection of cancer using metabolic changes in tumor-associated natural killer cells with Oncoimmune probes," Nature Communications, Nature, vol. 13(1), pages 1-20, December.
    19. Callisthenis Yiannis & Massimo Mascolo & Michele Davide Mignogna & Silvia Varricchio & Valentina Natella & Gaetano De Rosa & Roberto Lo Giudice & Cosimo Galletti & Rita Paolini & Antonio Celentano, 2021. "Expression Profile of Stemness Markers CD138, Nestin and Alpha-SMA in Ameloblastic Tumours," IJERPH, MDPI, vol. 18(8), pages 1-10, April.
    20. Sophie G. Kellaway & Sandeep Potluri & Peter Keane & Helen J. Blair & Luke Ames & Alice Worker & Paulynn S. Chin & Anetta Ptasinska & Polina K. Derevyanko & Assunta Adamo & Daniel J. L. Coleman & Naee, 2024. "Leukemic stem cells activate lineage inappropriate signalling pathways to promote their growth," Nature Communications, Nature, vol. 15(1), pages 1-22, 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:pone00:0025518. 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.