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A superstatistical model of metastasis and cancer survival

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  • Leon Chen, L.
  • Beck, Christian

Abstract

We introduce a superstatistical model for the progression statistics of malignant cancer cells. The metastatic cascade is modeled as a complex nonequilibrium system with several macroscopic pathways and inverse-chi-square distributed parameters of the underlying Poisson processes. The predictions of the model are in excellent agreement with observed survival-time probability distributions of breast cancer patients.

Suggested Citation

  • Leon Chen, L. & Beck, Christian, 2008. "A superstatistical model of metastasis and cancer survival," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(13), pages 3162-3172.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:13:p:3162-3172
    DOI: 10.1016/j.physa.2008.01.116
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    References listed on IDEAS

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    1. P. Royston, 2001. "The Lognormal Distribution as a Model for Survival Time in Cancer, With an Emphasis on Prognostic Factors," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 55(1), pages 89-104, March.
    2. Sumiyoshi Abe & Stefan Thurner, 2006. "Hierarchical And Mixing Properties Of Static Complex Networks Emerging From Fluctuating Classical Random Graphs," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 17(09), pages 1303-1311.
    3. Thurner, Stefan & Wick, Nikolaus & Hanel, Rudolf & Sedivy, Roland & Huber, Lukas, 2003. "Anomalous diffusion on dynamical networks: a model for interacting epithelial cell migration," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 475-484.
    4. R. S. Mendes & L. C. Malacarne & C. Anteneodo, 2007. "Statistics of football dynamics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 57(3), pages 357-363, June.
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    Citations

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    Cited by:

    1. Ewin Sánchez & Manuel González-Navarrete & Christian Caamaño-Carrillo, 2021. "Bivariate superstatistics: an application to statistical plasma physics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(2), pages 1-7, February.
    2. Sánchez, Ewin, 2019. "Burr type-XII as a superstatistical stationary distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 443-446.
    3. Kosun, Caglar & Ozdemir, Serhan, 2016. "A superstatistical model of vehicular traffic flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 466-475.
    4. Lubashevsky, Ihor & Friedrich, Rudolf & Heuer, Andreas & Ushakov, Andrey, 2009. "Generalized superstatistics of nonequilibrium Markovian systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4535-4550.

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