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Modeling Immune-Mediated Tumor Growth and Treatment

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Mathematical Oncology 2013

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Abstract

The immune response is an important factor in the progression of cancer, and this response has been harnessed in a variety of treatments for a range of cancers. In this chapter we develop mathematical models that describe the immune response to the presence of a tumor. We then use these models to explore a variety of immunotherapy treatments, both alone and in combination with other therapies.

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Notes

  1. 1.

    In references [39] and [27], the authors choose to use α 2 instead of α, since α 2 reflects the squared form of the dimensional terms it replaces. For clarity, we simply use α here.

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Acknowledgements

Earlier, more detailed versions of much of the material in this chapter was published in [13–16, 39, 47, 48]. A. Radunskaya was partially supported by NSF grant DMS-1016136.

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Authors and Affiliations

  1. Harvey Mudd College, Claremont, CA, 91711, USA

    Lisette de Pillis

  2. Pomona College, Claremont, CA, 91711, USA

    Ami Radunskaya

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  1. Lisette de Pillis
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  2. Ami Radunskaya
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Correspondence to Ami Radunskaya .

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Editors and Affiliations

  1. International Prevention Research Institute, Lyon, France

    Alberto d'Onofrio

  2. Istituto di Analisi dei Sistemi ed Informatica "Antonio Ruberti"—CNR, Rome, Italy

    Alberto Gandolfi

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de Pillis, L., Radunskaya, A. (2014). Modeling Immune-Mediated Tumor Growth and Treatment. In: d'Onofrio, A., Gandolfi, A. (eds) Mathematical Oncology 2013. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-0458-7_7

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