Two-stage model of carcinogenic mutations with the influence of delays

DOI10.3934/dcdsb.2014.19.2501zbMath1304.35734OpenAlexW2326087378MaRDI QIDQ478737

Beata Zduniak, Urszula Fory's

Publication date: 4 December 2014

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2014.19.2501

zbMATH Keywords

diffusiondelay equationsstability switchescarcinogenic mutations

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Partial functional-differential equations (35R10) Stability theory of functional-differential equations (34K20) Dynamical aspects of attractors and their bifurcations (37G35) General biology and biomathematics (92B05) Biological rhythms and synchronization (92B25)

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Cites Work

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• A simple model of carcinogenic mutations with time delay and diffusion
• Introduction to functional differential equations
• Oscillations and bistability in the stochastic model of p53 regulation
• Multi-dimensional Lotka-Volterra systems for carcinogenesis mutations
• On Traveling Wave Solutions of Fisher's Equation in Two Spatial Dimensions
• Stability Analysis and Comparison of the Models for Carcinogenesis Mutations in the Case of Two Stages of Mutations
• BIOLOGICAL DELAY SYSTEMS AND THE MIKHAILOV CRITERION OF STABILITY

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