A collection of seven interdisciplinary surveys on modelling tumour dynamics and interactions between tumours and immune systems. Modelling and simulation of general behaviours of immune systems is also discussed. Each survey covers a specialized field and provides a detailed description of the current state of research. the reader should be able to obtain essential information on the methodological approach used and on the models that are categorized and used. Topics covered include: general tumour biology modelling; growth kinetics; kinetic cellular theory; tumour-immune system interactions; and heterogeneity and growth control. There is also a glossary of scientific terms in immunology and biology to ensure a clear understanding of biological terms.