A model of tumor growth based on cell cycle kinetics

DOI10.1016/0025-5564(83)90094-9zbMath0527.92007OpenAlexW2010849649MaRDI QIDQ595545

Malcolm E. jun. Turner, Jane B. Hazelrig, Steven T. Piantadosi

Publication date: 1983

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(83)90094-9

zbMATH Keywords

equilibrium solutionssimulation methodscancer therapycell cycle kineticscell lossfirst order kineticsgrowth regulatory substanceintrinsic growth ratemodel of tumor growth

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Medical applications (general) (92C50) Population dynamics (general) (92D25) Control/observation systems governed by ordinary differential equations (93C15) Physiological, cellular and medical topics (92Cxx)

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Uses Software

• SAS

Cites Work

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• Mathematical models of the cell cycle with a view to tumor studies
• A theory of growth
• Tumor growth and chemotherapy: Mathematical methods, computer simulations, and experimental foundations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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