Asymmetric non-Gaussian effects in a tumor growth model with immunization

DOI10.1016/j.apm.2014.02.026zbMath1428.92049arXiv1211.2068OpenAlexW2054765970MaRDI QIDQ1632956

Wei Xu, Mengli Hao, Renming Song, Jin-qiao Duan

Publication date: 17 December 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.2068

zbMATH Keywords

mean residence timeescape probabilityLévy jump measurestochastic dynamics of tumor growthasymmetric \(\alpha\)-stable Lévy motiontumor growth with immunization

Mathematics Subject Classification ID

Medical applications (general) (92C50)

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Cites Work

• Unnamed Item
• Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with periodic treatment
• Parameterizations and modes of stable distributions
• Colored noise enhanced stability in a tumor cell growth system under immune response
• A computational analysis for mean exit time under non-Gaussian Lévy noises
• Noise-induced transitions. Theory and applications in physics, chemistry, and biology
• Bistability in fluctuating environments. Implications in tumor immunology
• Modeling immunotherapy of the tumor -- immune interaction
• Invariant measures and symmetry property of Lévy type operators
• Stochastic bifurcation for a tumor-immune system with symmetric Lévy noise
• Monte Carlo option pricing for tempered stable (CGMY) processes
• Introductory lectures on fluctuations of Lévy processes with applications.
• Escape Probability for Stochastic Dynamical Systems with Jumps
• External noise control in inherently stochastic biological systems
• Lévy Processes and Stochastic Calculus
• Cross-correlation enhanced stability in a tumor cell growth model with immune surveillance driven by cross-correlated noises
• The Dirichlet problem of a discontinuous Markov process
• MEAN EXIT TIME AND ESCAPE PROBABILITY FOR A TUMOR GROWTH SYSTEM UNDER NON-GAUSSIAN NOISE