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 language | English |
|---|---|
| Pages (from-to) | 593-646 |
| Number of pages | 54 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 18 |
| Issue number | 4 |
| Publication status | Published - 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
