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Ordinary Differential Equation Models for Adoptive Immunotherapy

  • Special Issue : Mathematical Oncology
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Abstract

Modified T cells that have been engineered to recognize the CD19 surface marker have recently been shown to be very successful at treating acute lymphocytic leukemias. Here, we explore four previous approaches that have used ordinary differential equations to model this type of therapy, compare their properties, and modify the models to address their deficiencies. Although the four models treat the workings of the immune system in slightly different ways, they all predict that adoptive immunotherapy can be successful to move a patient from the large tumor fixed point to an equilibrium with little or no tumor.

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Acknowledgements

Funding was provided by National Science Foundation (Grant No. DMS 1505215).

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Authors and Affiliations

  1. Bioinformatics and Computational Biology, University of North Carolina, Chapel Hill, USA

    Anne Talkington

  2. Departments of Chemistry and Electrical and Computer Engineering, Duke University, Durham, NC, USA

    Claudia Dantoin

  3. Department of Mathematics, Duke University, Durham, NC, USA

    Rick Durrett

Authors
  1. Anne Talkington
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  2. Claudia Dantoin
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  3. Rick Durrett
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Correspondence to Rick Durrett.

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Talkington, A., Dantoin, C. & Durrett, R. Ordinary Differential Equation Models for Adoptive Immunotherapy. Bull Math Biol 80, 1059–1083 (2018). https://doi.org/10.1007/s11538-017-0263-8

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  • DOI: https://doi.org/10.1007/s11538-017-0263-8

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