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Ordinary Differential Equation Models for Adoptive Immunotherapy.

Anne Talkington1, Claudia Dantoin2, Rick Durrett3

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

Bulletin of Mathematical Biology
|April 7, 2017
PubMed
Summary
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Engineered T cells targeting CD19 show success in treating acute lymphocytic leukemias. Mathematical models predict this adoptive immunotherapy can effectively eliminate tumors, moving patients to a state of remission.

Area of Science:

  • Immunology
  • Mathematical Biology
  • Oncology

Background:

  • Chimeric antigen receptor (CAR) T cell therapy, specifically targeting CD19, is a promising treatment for acute lymphocytic leukemias.
  • Mathematical modeling is crucial for understanding the dynamics of CAR T cell therapy and predicting treatment outcomes.
  • Previous models using ordinary differential equations (ODEs) have explored CAR T cell therapy dynamics.

Purpose of the Study:

  • To review and compare four existing ODE models of CD19-targeted CAR T cell therapy.
  • To identify deficiencies in current models and propose modifications for improved accuracy.
  • To analyze the predictive capabilities of these models regarding therapeutic success.

Main Methods:

  • Exploration and comparative analysis of four distinct ODE models for CAR T cell therapy.
Keywords:
Acute lymphoblastic leukemiaChimeric antigen receptor T cellsODE modelsSaturating responseStability analysis

Related Experiment Videos

  • Identification of key assumptions and differences in how each model represents immune system components.
  • Modification of existing models to address identified limitations and enhance predictive power.
  • Main Results:

    • All four models, despite variations in immune system representation, predict the efficacy of adoptive immunotherapy.
    • The models consistently indicate that CAR T cell therapy can shift patients from a high tumor burden state to an equilibrium with minimal or absent tumor cells.
    • Comparison revealed differing strengths and weaknesses in the existing modeling approaches.

    Conclusions:

    • Mathematical models are valuable tools for predicting the success of CD19-targeted CAR T cell therapy.
    • Adoptive immunotherapy demonstrates potential for achieving durable remission in acute lymphocytic leukemias.
    • Further refinement of mathematical models can improve our understanding and optimization of CAR T cell therapies.