Stability criteria for the cure state in a cancer model with radiation treatment

DOI10.1016/J.NONRWA.2008.08.001zbMath1170.34331OpenAlexW1985678967MaRDI QIDQ1021914

Herb I. Freedman, Suani T. R. Pinho

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.08.001

zbMATH Keywords

stabilityradiationordinary differential equationsequilibriacancer modellingcure state

Mathematics Subject Classification ID

Medical applications (general) (92C50) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (5)

Avoiding healthy cells extinction in a cancer model ⋮ From kinetic models of multicellular growing systems to macroscopic biological tissue models ⋮ On strategies on a mathematical model for leukemia therapy ⋮ Chaotic transitions in a tumor-Immune model under chemotherapy treatment ⋮ Permanence, extinction and periodic solutions in a mathematical model of cell populations affected by periodic radiation

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• A chemotherapy model for the treatment of cancer with metastasis
• DNA damage caused by ionizing radiation
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• Persistence and extinction in a mathematical model of cell populations affected by radiation
• Simple ODE models of tumor growth and anti-angiogenic or radiation treatment

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