IDEAS home Printed from https://ideas.repec.org/a/gam/jgames/v9y2018i2p32-d149268.html
   My bibliography  Save this article

Game Theory of Tumor–Stroma Interactions in Multiple Myeloma: Effect of Nonlinear Benefits

Author

Listed:
  • Javad Salimi Sartakhti

    (Department of Electrical and Computer Engineering, University of Kashan, Kashan 8731753153, Iran)

  • Mohammad Hossein Manshaei

    (Department of Electrical and Computer Engineering, Isfahan University of Technology, Isfahan 8415683111, Iran)

  • Marco Archetti

    (School of Biological Sciences, University of East Anglia, Norwich NR4 7TJ, UK)

Abstract

Cancer cells and stromal cells often exchange growth factors with paracrine effects that promote cell growth: a form of cooperation that can be studied by evolutionary game theory. Previous models have assumed that interactions between cells are pairwise or that the benefit of a growth factor is a linear function of its concentration. Diffusible factors, however, affect multiple cells and generally have nonlinear effects, and these differences are known to have important consequences for evolutionary dynamics. Here, we study tumor–stroma paracrine signaling using a model with multiplayer collective interactions in which growth factors have nonlinear effects. We use multiple myeloma as an example, modelling interactions between malignant plasma cells, osteoblasts, and osteoclasts. Nonlinear benefits can lead to results not observed in linear models, including internal mixed stable equilibria and cyclical dynamics. Models with linear effects, therefore, do not lead to a meaningful characterization of the dynamics of tumor–stroma interactions. To understand the dynamics and the effect of therapies it is necessary to estimate the shape of the benefit functions experimentally and parametrize models based on these functions.

Suggested Citation

  • Javad Salimi Sartakhti & Mohammad Hossein Manshaei & Marco Archetti, 2018. "Game Theory of Tumor–Stroma Interactions in Multiple Myeloma: Effect of Nonlinear Benefits," Games, MDPI, vol. 9(2), pages 1-11, May.
    • Handle: RePEc:gam:jgames:v:9:y:2018:i:2:p:32-:d:149268
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-4336/9/2/32/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-4336/9/2/32/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marco Archetti, 2014. "Stable Heterogeneity for the Production of Diffusible Factors in Cell Populations," PLOS ONE, Public Library of Science, vol. 9(9), pages 1-8, September.
    2. Moritz Gerstung & Hani Nakhoul & Niko Beerenwinkel, 2011. "Evolutionary Games with Affine Fitness Functions: Applications to Cancer," Dynamic Games and Applications, Springer, vol. 1(3), pages 370-385, September.
    3. Javad Salimi Sartakhti & Mohammad Hossein Manshaei & Soroosh Bateni & Marco Archetti, 2016. "Evolutionary Dynamics of Tumor-Stroma Interactions in Multiple Myeloma," PLOS ONE, Public Library of Science, vol. 11(12), pages 1-17, December.
    4. D. Basanta & H. Hatzikirou & A. Deutsch, 2008. "Studying the emergence of invasiveness in tumours using game theory," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 63(3), pages 393-397, June.
    5. Marco Archetti, 2018. "How to Analyze Models of Nonlinear Public Goods," Games, MDPI, vol. 9(2), pages 1-15, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Benjamin Wölfl & Hedy te Rietmole & Monica Salvioli & Artem Kaznatcheev & Frank Thuijsman & Joel S. Brown & Boudewijn Burgering & Kateřina Staňková, 2022. "The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer," Dynamic Games and Applications, Springer, vol. 12(2), pages 313-342, June.

    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. Marco Archetti, 2018. "How to Analyze Models of Nonlinear Public Goods," Games, MDPI, vol. 9(2), pages 1-15, April.
    2. Javad Salimi Sartakhti & Mohammad Hossein Manshaei & David Basanta & Mehdi Sadeghi, 2017. "Evolutionary emergence of angiogenesis in avascular tumors using a spatial public goods game," PLOS ONE, Public Library of Science, vol. 12(4), pages 1-17, April.
    3. Giacomo Bonanno, 2011. "Reasoning about strategies and rational play in dynamic games," Working Papers 9, University of California, Davis, Department of Economics.
    4. Giacomo Bonanno, 2015. "Game Theory: Parts I and II. Open access book," Working Papers 152, University of California, Davis, Department of Economics.
    5. Giacomo Bonanno, 2011. "Reasoning about strategies and rational play in dynamic games," Working Papers 1111, University of California, Davis, Department of Economics.
    6. Li You & Maximilian von Knobloch & Teresa Lopez & Vanessa Peschen & Sidney Radcliffe & Praveen Koshy Sam & Frank Thuijsman & Kateřina Staňková & Joel S. Brown, 2019. "Including Blood Vasculature into a Game-Theoretic Model of Cancer Dynamics," Games, MDPI, vol. 10(1), pages 1-22, March.
    7. Pranav I. Warman & Artem Kaznatcheev & Arturo Araujo & Conor C. Lynch & David Basanta, 2018. "Fractionated Follow-Up Chemotherapy Delays the Onset of Resistance in Bone Metastatic Prostate Cancer," Games, MDPI, vol. 9(2), pages 1-10, April.
    8. Yang, Luhe & Zhang, Lianzhong & Yang, Duoxing, 2022. "Asymmetric micro-dynamics in spatial anonymous public goods game," Applied Mathematics and Computation, Elsevier, vol. 415(C).
    9. Nöldeke, Georg & Peña, Jorge, 2018. "Group size effects in social evolution," IAST Working Papers 18-75, Institute for Advanced Study in Toulouse (IAST).
    10. Benjamin Wölfl & Hedy te Rietmole & Monica Salvioli & Artem Kaznatcheev & Frank Thuijsman & Joel S. Brown & Boudewijn Burgering & Kateřina Staňková, 2022. "The Contribution of Evolutionary Game Theory to Understanding and Treating Cancer," Dynamic Games and Applications, Springer, vol. 12(2), pages 313-342, June.
    11. Giacomo Bonanno, 2015. "Game Theory: Parts I and II. Open access book," Working Papers 124, University of California, Davis, Department of Economics.
    12. Elena Hurlbut & Ethan Ortega & Igor V. Erovenko & Jonathan T. Rowell, 2018. "Game Theoretical Model of Cancer Dynamics with Four Cell Phenotypes," Games, MDPI, vol. 9(3), pages 1-16, September.
    13. Matthijs van Veelen, 2020. "The evolution of morality," Tinbergen Institute Discussion Papers 20-063/I, Tinbergen Institute.
    14. Ryan T. Bishop & Anna K. Miller & Matthew Froid & Niveditha Nerlakanti & Tao Li & Jeremy S. Frieling & Mostafa M. Nasr & Karl J. Nyman & Praneeth R. Sudalagunta & Rafael R. Canevarolo & Ariosto Siquei, 2024. "The bone ecosystem facilitates multiple myeloma relapse and the evolution of heterogeneous drug resistant disease," Nature Communications, Nature, vol. 15(1), pages 1-18, December.
    15. Yang, Luhe & Zhang, Lianzhong, 2021. "Environmental feedback in spatial public goods game," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

    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:gam:jgames:v:9:y:2018:i:2:p:32-:d:149268. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.