Tumour-immune dynamics with an immune checkpoint inhibitor

Elpiniki Nikolopoulou, Lauren R. Johnson, Duane Harris, John D. Nagy, Edward C. Stites, Yang Kuang

Research output: Contribution to journalArticle

10 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)S137-S159
JournalLetters in Biomathematics
Volume5
Issue numbersup1
DOIs
StatePublished - Jun 30 2018

Keywords

  • Immunotherapy
  • PD-1
  • PD-L1
  • anti-PD-1
  • checkpoint inhibitor
  • mathematical oncology
  • tumour
  • tumour/immune model

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology (miscellaneous)
  • Applied Mathematics

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  • Cite this

    Nikolopoulou, E., Johnson, L. R., Harris, D., Nagy, J. D., Stites, E. C., & Kuang, Y. (2018). Tumour-immune dynamics with an immune checkpoint inhibitor. Letters in Biomathematics, 5(sup1), S137-S159. https://doi.org/10.1080/23737867.2018.1440978