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Logistic Tumor Growth with Delay and Impulsive Treatment

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  • URSZULA FORYŚ
  • JAN POLESZCZUK
  • TING LIU

Abstract

A logistic equation with delay introduced into net growth describes an initial stage of solid tumor growth. Impulses describe external interference, such as radiotherapy. Examination of different treatment protocols showed that the one with constant dosage is better than with increasing or decreasing dose.

Suggested Citation

  • Urszula Foryś & Jan Poleszczuk & Ting Liu, 2014. "Logistic Tumor Growth with Delay and Impulsive Treatment," Mathematical Population Studies, Taylor & Francis Journals, vol. 21(3), pages 146-158, September.
    • Handle: RePEc:taf:mpopst:v:21:y:2014:i:3:p:146-158
    DOI: 10.1080/08898480.2013.804688
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    References listed on IDEAS

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    1. Janet Dyson & Rosanna Villella-Bressan & Glenn Webb, 2008. "An Age and Spatially Structured Model of Tumor Invasion with Haptotaxis II," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(2), pages 73-95.
    2. Giorgio Fabbri & Silvia Faggian & Fausto Gozzi, 2008. "On Dynamic Programming in Economic Models Governed by DDEs," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(4), pages 267-290.
    3. Giorgio Fabbri, 2008. "Viscosity Solutions to Delay Differential Equations in Demo-Economy," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(1), pages 27-54.
    4. Moritz Gerstung & Niko Beerenwinkel, 2010. "Waiting Time Models of Cancer Progression," Mathematical Population Studies, Taylor & Francis Journals, vol. 17(3), pages 115-135.
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