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

a mathematical model

Authors

  • Mohamed CH-Chaoui LS3M Laboratory, Department of Mathematics and Computing Sciences, Hassan I University, Khouribga, Morocco Author
  • Amina Eladdadi Department of Mathematics, The College of Saint Rose, Albany, NY, USA Author
  • Karima Mokni LS3M Laboratory, Department of Mathematics and Computing Sciences, Hassan I University, Khouribga, Morocco Author

DOI:

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

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.

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Published

2018-06-30

How to Cite

Activation of the immune response by cytokines and its effect on tumour cells: a mathematical model. (2018). Letters in Biomathematics, 5(2), 178-200. https://doi.org/10.30707/LiB5.2Chaoui

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