IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v183y2024ics096007792400451x.html
   My bibliography  Save this article

Cell motility in cancer, crucial events, criticality, and Lévy walks

Author

Listed:
  • Shah, Yawer H.
  • Palatella, Luigi
  • Mahmoodi, Korosh
  • Santonocito, Orazio S.
  • Morelli, Mariangela
  • Ferri, Gianmarco
  • Mazzanti, Chiara M.
  • Grigolini, Paolo
  • West, Bruce J.

Abstract

The analysis of glioblastoma (GB) cell locomotion and its modeling inspired by Lévy random walks is presented herein. We study such walks occurring on a two-dimensional plane where the walk is similar to the motion of a bird flying with a constant velocity, but with random changes of direction in time. The intelligence of the bird is signaled by the instantaneous changes of flying direction, which become invisible in the time series obtained by projecting the 2D walk either on the x-axis or y-axis. We establish that the projected 1D time series share the statistical complexity of time series frequently used to monitor physiological processes, shedding light on the role of crucial events (CE-s) in pathophysiology. Such CE-s are signified by abrupt changes of flying direction which are invisible in the 1D physiological time series. We establish a connection between the complex scaling index δ generated by the CE-s through μR=2−δ, where μR is the inverse power law index of the probability density function of the time interval between consecutive failures of the process of interest. We argue that the identification of empirical indices along with their theoretical relations afford important measures to control cancer.

Suggested Citation

  • Shah, Yawer H. & Palatella, Luigi & Mahmoodi, Korosh & Santonocito, Orazio S. & Morelli, Mariangela & Ferri, Gianmarco & Mazzanti, Chiara M. & Grigolini, Paolo & West, Bruce J., 2024. "Cell motility in cancer, crucial events, criticality, and Lévy walks," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s096007792400451x
    DOI: 10.1016/j.chaos.2024.114899
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792400451X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114899?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Luković, Mirko & Vanni, Fabio & Svenkeson, Adam & Grigolini, Paolo, 2014. "Transmission of information at criticality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 430-438.
    2. Kalashyan, Armen K. & Buiatti, Marco & Grigolini, Paolo, 2009. "Ergodicity breakdown and scaling from single sequences," Chaos, Solitons & Fractals, Elsevier, vol. 39(2), pages 895-909.
    3. Paolo Grigolini, 2019. "Cognition: from Physiology to Sociology and Back," Annals of Social Sciences & Management studies, Juniper Publishers Inc., vol. 2(4), pages 110-111, January.
    4. Andy Reynolds & Eliane Ceccon & Cristina Baldauf & Tassia Karina Medeiros & Octavio Miramontes, 2018. "Lévy foraging patterns of rural humans," PLOS ONE, Public Library of Science, vol. 13(6), pages 1-16, June.
    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. Grigolini, Paolo, 2015. "Emergence of biological complexity: Criticality, renewal and memory," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 575-588.
    2. Rutten, Philip & Lees, Michael H. & Klous, Sander & Sloot, Peter M.A., 2021. "Intermittent and persistent movement patterns of dance event visitors in large sporting venues," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 563(C).
    3. Toman, Kellan & Voulgarakis, Nikolaos K., 2022. "Stochastic pursuit-evasion curves for foraging dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    4. Kornilov, Maksim V. & Medvedeva, Tatiana M. & Bezruchko, Boris P. & Sysoev, Ilya V., 2016. "Choosing the optimal model parameters for Granger causality in application to time series with main timescale," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 11-21.
    5. Korosh Mahmoodi & Bruce J. West & Paolo Grigolini, 2018. "Self-Organized Temporal Criticality: Bottom-Up Resilience versus Top-Down Vulnerability," Complexity, Hindawi, vol. 2018, pages 1-10, March.
    6. Mahmoodi, Korosh & West, Bruce J. & Grigolini, Paolo, 2020. "On the dynamical foundation of multifractality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    7. Fister, Iztok & Perc, Matjaž & Ljubič, Karin & Kamal, Salahuddin M. & Iglesias, Andres & Fister, Iztok, 2015. "Particle swarm optimization for automatic creation of complex graphic characters," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 29-35.

    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:eee:chsofr:v:183:y:2024:i:c:s096007792400451x. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.