A note on the modeling of immune-cancer competition in the homogeneous systems

Authors

  • Najat M. Omar Dabnoun Università degli Studi di Palermo Dipartimento di Energia, ingegneria dell’ Informazione e modelli Matematici (DEIM), Palermo, Italy
  • Maria Stella Mongiovì Università degli Studi di Palermo Dipartimento dell’Innovazione Industriale e Digitale (DIID), Palermo, Italy

DOI:

https://doi.org/10.1478/AAPP.97S2A7

Keywords:

Kinetic Theory, active particles, evolution, Lotka-Volterra model.

Abstract

This work deals with the model focuses on the study of the early stage of the immune cancer competition. The approach used in this model is based on the kinetic theory of active particles (KTAP), which has been developed to modeling systems constituted by a large number of interacting particles (active particles), whose microscopic state includes not only geometrical and mechanical variables (typically position and velocity) but also biological functions called activities related to the intrinsic biological function of particles. The model consider a scalar activity variable u ∈ (0,∞). The overall system is divided into six (M = 6) different populations (functional subsystems), the first three subsystems contain epithelial (subsystem 1) and cancer cells (subsystems 2,3), the other functional subsystems contain cells of the immune system. After some reasonable assumptions, we obtain for the cancer cells and immune cells of the last hallmark a Lotka-Volterra system that allows us to describe the dynamics of the biological system in a very simple way.

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Published

2019-12-20

Issue

Vol 97, SUPPL NO 2 (2019): NACS 2017

Section

NACS 2017 (Conference Proceedings)

License

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