Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
977448 | Physica A: Statistical Mechanics and its Applications | 2006 | 16 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jürgen Schmiegel,