A mathematical model of immune competition related to cancer dynamics

Ilaria Brazzoli, Elena De Angelis, Pierre Emmanuel Jabin

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


This paper deals with the qualitative analysis of a model describing the competition among cell populations, each of them expressing a peculiar cooperating and organizing behavior. The mathematical framework in which the model has been developed is the kinetic theory for active particles. Themain result of this paper is concerned with the analysis of the asymptotic behavior of the solutions. We prove that, if we are in the case when the only equilibrium solution if the trivial one, the system evolves in such a way that the immune system, after being activated, goes back toward a physiological situation while the tumor cells evolve as a sort of progressing travelling waves characterizing a typical equilibrium/latent situation.

Original languageEnglish (US)
Pages (from-to)733-750
Number of pages18
JournalMathematical Methods in the Applied Sciences
Issue number6
StatePublished - Apr 2010

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Engineering


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