Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise
Dynamical Systems
2016-12-21 v1 Biological Physics
Other Quantitative Biology
Abstract
Effects of non-Gaussian stable L\'evy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density from inside a safe or benign domain. The mean exit time and escape probability problems are formulated in a differential-integral equation with a fractional Laplacian operator. Numerical simulations are conducted to evaluate how the mean exit time and escape probability vary or bifurcates when changes. Some bifurcation phenomena are observed and their impacts are discussed.
Keywords
Cite
@article{arxiv.1111.6540,
title = {Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise},
author = {Jian Ren and Chujin Li and Ting Gao and Xingye Kan and Jinqiao Duan},
journal= {arXiv preprint arXiv:1111.6540},
year = {2016}
}