2012/07/25 by Mengli Hao, Hao, Mengli, Ting Gao +5
Biochemistry, Genetics and Molecular Biology · Mathematics · #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #math.DS
paper · pdf · doi:10.48550/arxiv.1207.5890
arxiv created 2012/07/25 · openalex publication_date 2012/07/25 · arxiv updated 2012/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is devoted to exploring the effects of non-Gaussian fluctuations on dynamical evolution of a tumor growth model with immunization, subject to non-Gaussian α-stable type Lévy noise. The corresponding deterministic model has two meaningful states which represent the state of tumor extinction and the state of stable tumor, respectively. To characterize the lifetime for different initial densities of tumor cells staying in the domain between these two states and the likelihood of crossing this domain, the mean exit time and the escape probability are quantified by numerically solving differential integral equations with appropriate exterior boundary conditions. The relationships between the dynamical properties and the noise parameters are examined. It is found that in the different stages of tumor, the noise parameters have different influence on the lifetime and the likelihood inducing tumor extinction. These results are relevant for determining efficient therapeutic regimes to induce the extinction of tumor cells.