On the foundations of cancer modelling: Selected topics, speculations, and perspectives

N. Bellomo*, N. K. Li, P. K. Maini

*Corresponding author for this work

Research output: Contribution to journalReview article (Academic Journal)peer-review

294 Citations (Scopus)

Abstract

This paper presents a critical review of selected topics related to the modelling of cancer onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical readership, some of the novel mathematical problems in the field. This review attempts to capture, from the appropriate literature, the main issues involved in the modelling of phenomena related to cancer dynamics at all scales which characterise this highly complex system: from the molecular scale up to that of tissue. The last part of the paper discusses the challenge of developing a mathematical biological theory of tumour onset and evolution.

Original languageEnglish
Pages (from-to)593-646
Number of pages54
JournalMathematical Models and Methods in Applied Sciences
Volume18
Issue number4
Publication statusPublished - Apr 2008

Keywords

  • CELLULAR-AUTOMATON MODEL
  • FREE-BOUNDARY PROBLEM
  • living systems
  • INDUCED ANGIOGENESIS
  • IMMUNE-SYSTEM
  • STRUCTURED POPULATION-MODEL
  • MATHEMATICAL-MODEL
  • CHEMOSENSITIVE MOVEMENT
  • COMPLEX MULTICELLULAR SYSTEMS
  • cancer modelling
  • multiscale modelling
  • complexity in biology
  • KINETIC-MODELS
  • AVASCULAR-TUMOR-GROWTH

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