Article,

Scale-Invariant Behavior and Vascular Network Formation in Normal and Tumor Tissue

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Physical Review Letters, 75 (12): 2428--2431 (September 1995)
DOI: 10.1103/physrevlett.75.2428

Abstract

Tumor vascular networks look different from normal vascular networks, but the mechanisms underlying these differences are not known. By studying the scale-invariant behavior of normal and tumor vascular networks we show that vascular networks exhibit three classes of fractal behavior. Tumor networks display percolationlike scaling. Normal arteriovenous networks display diffusion-limited scaling, and normal capillary networks are compact structures. The mechanisms responsible for these differences are suggested using a growth model.

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