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Phase transitions in unstable cancer cell populations

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  • R. Solé

Abstract

The dynamics of cancer evolution is studied by means of a simple quasispecies model involving cells displaying high levels of genetic instability. Both continuous, mean-field and discrete, bit-string models are analysed. The string model is simulated on a single-peak landscape. It is shown that a phase transition exists at high levels of genetic instability, thus separating two phases of slow and rapid growth. The results suggest that, under a conserved level of genetic instability the cancer cell population will be close to the threshold level. Implications for therapy are outlined. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • R. Solé, 2003. "Phase transitions in unstable cancer cell populations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(1), pages 117-123, September.
    • Handle: RePEc:spr:eurphb:v:35:y:2003:i:1:p:117-123
    DOI: 10.1140/epjb/e2003-00262-8
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    Cited by:

    1. C. Comas & J. Mateu, 2008. "Growing and reproducing particles evolving through space and time," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(2), pages 145-169, March.
    2. Horváth, D. & Brutovsky, B. & Kočišová, J. & Šprinc, S., 2010. "Manipulation with heterogeneity within a species population formulated as an inverse problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 5028-5036.
    3. Izquierdo-Kulich, E. & Rebelo, I. & Tejera, E. & Nieto-Villar, J.M., 2013. "Phase transition in tumor growth: I avascular development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6616-6623.
    4. Brutovsky, B. & Horvath, D. & Lisy, V., 2008. "Inverse geometric approach for the simulation of close-to-circular growth. The case of multicellular tumor spheroids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 839-850.

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