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Ordinary Differential Equation Models for Adoptive Immunotherapy.

Publication ,  Journal Article
Talkington, A; Dantoin, C; Durrett, R
Published in: Bulletin of mathematical biology
May 2018

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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Published In

Bulletin of mathematical biology

DOI

EISSN

1522-9602

ISSN

0092-8240

Publication Date

May 2018

Volume

80

Issue

5

Start / End Page

1059 / 1083

Related Subject Headings

  • T-Lymphocytes
  • Precursor Cell Lymphoblastic Leukemia-Lymphoma
  • Models, Immunological
  • Mathematical Concepts
  • Immunotherapy, Adoptive
  • Humans
  • Bioinformatics
  • Antigens, CD19
  • 49 Mathematical sciences
  • 31 Biological sciences
 

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Talkington, A., Dantoin, C., & Durrett, R. (2018). Ordinary Differential Equation Models for Adoptive Immunotherapy. Bulletin of Mathematical Biology, 80(5), 1059–1083. https://doi.org/10.1007/s11538-017-0263-8
Talkington, Anne, Claudia Dantoin, and Rick Durrett. “Ordinary Differential Equation Models for Adoptive Immunotherapy.Bulletin of Mathematical Biology 80, no. 5 (May 2018): 1059–83. https://doi.org/10.1007/s11538-017-0263-8.
Talkington A, Dantoin C, Durrett R. Ordinary Differential Equation Models for Adoptive Immunotherapy. Bulletin of mathematical biology. 2018 May;80(5):1059–83.
Talkington, Anne, et al. “Ordinary Differential Equation Models for Adoptive Immunotherapy.Bulletin of Mathematical Biology, vol. 80, no. 5, May 2018, pp. 1059–83. Epmc, doi:10.1007/s11538-017-0263-8.
Talkington A, Dantoin C, Durrett R. Ordinary Differential Equation Models for Adoptive Immunotherapy. Bulletin of mathematical biology. 2018 May;80(5):1059–1083.
Journal cover image

Published In

Bulletin of mathematical biology

DOI

EISSN

1522-9602

ISSN

0092-8240

Publication Date

May 2018

Volume

80

Issue

5

Start / End Page

1059 / 1083

Related Subject Headings

  • T-Lymphocytes
  • Precursor Cell Lymphoblastic Leukemia-Lymphoma
  • Models, Immunological
  • Mathematical Concepts
  • Immunotherapy, Adoptive
  • Humans
  • Bioinformatics
  • Antigens, CD19
  • 49 Mathematical sciences
  • 31 Biological sciences