Discrete and continuum models for the evolutionary and spatial dynamics of cancer: a very short introduction through two case studies

摘要: We give a very short introduction to discrete and continuum models for the evolutionary spatial dynamics of cancer through two case studies: model cells under cytotoxic therapy mechanical interaction between healthy during tumour growth. First we develop models, whereby single are described set rules that result in branching random walks. Then present corresponding which formulated terms non-local nonlinear partial differential equations, summarise key properties their solutions. Finally, carry out numerical simulations construct solutions models. The biological implications results obtained briefly discussed.