A spatiotemporal noise is assumed to reflect the environmental fluctuation in a spatially extended tumor system. We introduce firstly the structure factor to reveal the invasive tumor growth quantitatively. The homogenous environment can lead to an expansive growth of the tumor cells, while the inhomogenous environment underlies an infiltrative growth. The different responses of above two cases are separated by a characteristic critical intensity of the spatiotemporal noise. Theoretical and numerical results present a close annotation to the clinical images.
@article{arxiv.0801.0357,
title = {Spatiotemporal Noise Triggering Infiltrative Tumor Growth under Immune Surveillance},
author = {Wei-Rong Zhong and Yuan-Zhi Shao and Li Li and Feng-Hua Wang and Zhen-Hui He},
journal= {arXiv preprint arXiv:0801.0357},
year = {2009}
}