Activation of the immune response by cytokines and its effect on tumour cells

a mathematical model

  • Mohamed CH-Chaoui LS3M Laboratory, Department of Mathematics and Computing Sciences, Hassan I University, Khouribga, Morocco
  • Amina Eladdadi Department of Mathematics, The College of Saint Rose, Albany, NY, USA
  • Karima Mokni LS3M Laboratory, Department of Mathematics and Computing Sciences, Hassan I University, Khouribga, Morocco
Keywords: Mathematical modelling, kinetic theory for active particle, cancer, immune response, tumour-immune dynamics, cytokines

Abstract

In this paper, we present a mathematical model at the cellular level of the tumour-immune competition mediated by the cytokines. The model consists of a system of nonlinear differential equations describing the intracellular interactions between the tumour and the immune cells in the presence of the cytokines. A detailed phenomenological description of the model based on the kinetic theory for active particle approach is carried out to formulate the model. Well-posedness is presented to establish local and global existence. Numerical simulations are addressed to show how initial conditions and model parameters influence the output of the model. Under a suitable choice of the model's key parameters and the cytokines' initial activation levels, the simulation results show that the activated immune system is able to achieve a total elimination of the cancer cells.

Published
2018-06-30
How to Cite
CH-Chaoui, Mohamed, Amina Eladdadi, and Karima Mokni. 2018. “Activation of the Immune Response by Cytokines and Its Effect on Tumour Cells”. Letters in Biomathematics 5 (2), S178–S200. https://doi.org/10.1080/23737867.2018.1468725.
Section
Research