Multiscale analysis and modelling for cancer growth and development

In this chapter we present a novel framework that enables a rigorous analysis of processes occurring on three (or more) independent scales (e.g. intracellular, cellular, tissue). We give details of the establishment of this new multiscale concept and discuss a number of important fundamental properties that follow. This framework also offers a new platform for the analysis of a new type of multiscale model for cancer invasion that we propose. This new model focuses on the macroscopic dynamics of the distributions of cancer cells and of the surrounding extracellularmatrix and its connection with themicroscale dynamics of the matrix degrading enzymes, produced at the level of the individual cancer cells.