Spatiotemporal noise triggering infiltrative tumor growth with immunosurveillanceWei-Rong Zhong1, 2, Yuan-Zhi Shao1, Li Li3, Feng-Hua Wang3 and Zhen-Hui He1
1 Department of Physics, School of Physics and Engineering, Sun Yat-sen University - Guangzhou 510275, PRC
2 Centre for Nonlinear Studies, Hong Kong Baptist University - Kowloon Tong, Hong Kong
3 South-China State-key Laboratory for Oncology, Cancer Center of Sun Yat-sen University - Guangzhou 510006, PRC
received 17 December 2007; accepted in final form 26 February 2008; published April 2008
published online 26 March 2008
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 the 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.
05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
87.18.Hf - Spatiotemporal pattern formation in cellular populations.
05.45.-a - Nonlinear dynamics and chaos.
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