Tumour suppression by immune system through stochastic oscillations

Giulio Caravagna, Alberto d'Onofrio, Paolo Milazzo, Roberto Barbuti

Research output: Contribution to journalArticlepeer-review


The well-known Kirschner-Panetta model for tumour-immune System interplay [Kirschner, D., Panetta, J.C., 1998. Modelling immunotherapy of the tumour-immune interaction. J. Math. Biol. 37 (3), 235-252] reproduces a number of features of this essential interaction, but it excludes the possibility of tumour suppression by the immune system in the absence of therapy. Here we present a hybrid-stochastic version of that model. In this new framework, we show that in reality the model is also able to reproduce the suppression, through stochastic extinction after the first spike of an oscillation.

Original languageEnglish
Pages (from-to)336-345
Number of pages10
JournalJournal of Theoretical Biology
Issue number3
Publication statusPublished - Aug 2010


  • Immune surveillance
  • Immune system
  • Immunotherapy
  • Stochastic Hybrid
  • Tumour

ASJC Scopus subject areas

  • Medicine(all)
  • Immunology and Microbiology(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Agricultural and Biological Sciences(all)
  • Modelling and Simulation
  • Statistics and Probability
  • Applied Mathematics


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