Self-scaling tumor growth

Jürgen Schmiegel

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 509-524

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.

Keywords: Lévy bases; Growth models; Tumor growth; Self-scaling; Correlators (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:509-524

DOI: 10.1016/j.physa.2005.11.028

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