Tumour-immune dynamics with an immune checkpoint inhibitor

Authors

  • Elpiniki Nikolopoulou School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ, USA Author
  • Lauren R. Johnson School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ, USA Author
  • Duane Harris School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ, USA Author
  • John D. Nagy School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ, USA Department of Biology, Scottsdale Community College, Scottsdale, AZ, USA Author
  • Edward C. Stites Integrative Biology Laboratory, Salk Institute for Biological Studies, La Jolla, CA, USA Author
  • Yang Kuang School of Mathematical & Statistical Sciences, Arizona State University, Tempe, AZ, USA Author

DOI:

https://doi.org/10.30707/LiB5.2Nikolopoulou

Keywords:

Immunotherapy, Mathematical oncology, Checkpoint inhibitor, Tumour, PD-1, PD-L1, Anti-PD-1, Tumour/immune model

Abstract

The use of immune checkpoint inhibitors is becoming more commonplace in clinical trials across the nation. Two important factors in the tumour-immune response are the checkpoint protein programmed death-1 (PD-1) and its ligand PD-L1. We propose a mathematical tumour-immune model using a system of ordinary differential equations to study dynamics with and without the use of anti-PD-1. A sensitivity analysis is conducted, and series of simulations are performed to investigate the effects of intermittent and continuous treatments on the tumour-immune dynamics. We consider the system without the anti-PD-1 drug to conduct a mathematical analysis to determine the stability of the tumour-free and tumorous equilibria. Through simulations, we found that a normally functioning immune system may control tumour. We observe treatment with anti-PD-1 alone may not be sufficient to eradicate tumour cells. Therefore, it may be beneficial to combine single agent treatments with additional therapies to obtain a better antitumour response.

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Published

2018-06-30

How to Cite

Tumour-immune dynamics with an immune checkpoint inhibitor. (2018). Letters in Biomathematics, 5(2), 137-159. https://doi.org/10.30707/LiB5.2Nikolopoulou

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