Fluctuations induced extinction and stochastic resonance effect in a model of tumor growth with periodic treatment

DOI10.1016/j.physleta.2010.12.066zbMath1242.92031OpenAlexW1974121299MaRDI QIDQ432833

J. Herrera, H. S. Yoon

Publication date: 4 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.12.066

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50)

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Cites Work

• Unnamed Item
• 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
• Nonlinear dynamics of immunogenic tumors: Parameter estimation and global bifurcation analysis
• The Fokker-Planck equation. Methods of solutions and applications.