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Self-scaling tumor growth

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  • Schmiegel, Jürgen

Abstract

We study the statistical properties of the star-shaped approximation of in vitro tumor profiles. The emphasis is on the two-point correlation structure of the radii of the tumor as a function of time and angle. In particular, we show that spatial two-point correlators follow a cosine law. Furthermore, we observe self-scaling behavior of two-point correlators of different orders, i.e., correlators of a given order are a power-law of the correlators of some other order. This power-law dependence is similar to what has been observed for the statistics of the energy dissipation in a turbulent flow. Based on this similarity, we provide a Lévy-based model that captures the correlation structure of the radii of the star-shaped tumor profiles.

Suggested Citation

  • Schmiegel, Jürgen, 2006. "Self-scaling tumor growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 509-524.
    • Handle: RePEc:eee:phsmap:v:367:y:2006:i:c:p:509-524
    DOI: 10.1016/j.physa.2005.11.028
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