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A Validated Mathematical Model of Tumor Growth Including Tumor–Host Interaction, Cell-Mediated Immune Response and Chemotherapy

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Abstract

We consider a dynamical model of cancer growth including three interacting cell populations of tumor cells, healthy host cells and immune effector cells. The tumor–immune and the tumor–host interactions are characterized to reproduce experimental results. A thorough dynamical analysis of the model is carried out, showing its capability to explain theoretical and empirical knowledge about tumor development. A chemotherapy treatment reproducing different experiments is also introduced. We believe that this simple model can serve as a foundation for the development of more complicated and specific cancer models.

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Acknowledgments

This work was supported by the Spanish Ministry of Economy and Competitivity under Project Number FIS2013-40653-P.

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Authors and Affiliations

  1. Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933, Móstoles, Madrid, Spain

    Álvaro G. López, Jesús M. Seoane & Miguel A. F. Sanjuán

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  1. Álvaro G. López
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  2. Jesús M. Seoane
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  3. Miguel A. F. Sanjuán
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Correspondence to Miguel A. F. Sanjuán.

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López, Á.G., Seoane, J.M. & Sanjuán, M.A.F. A Validated Mathematical Model of Tumor Growth Including Tumor–Host Interaction, Cell-Mediated Immune Response and Chemotherapy. Bull Math Biol 76, 2884–2906 (2014). https://doi.org/10.1007/s11538-014-0037-5

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  • DOI: https://doi.org/10.1007/s11538-014-0037-5

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