کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
977448 | 1480197 | 2006 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Self-scaling tumor growth
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Self-scaling tumor growth Self-scaling tumor growth](/preview/png/977448.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 367, 15 July 2006, Pages 509–524
Journal: Physica A: Statistical Mechanics and its Applications - Volume 367, 15 July 2006, Pages 509–524
نویسندگان
Jürgen Schmiegel,