Protein kinases are enzymes with partially overlapping specificities, many of which are important clinical targets. In this article, we give some background on protein kinases and discuss in more depth four such enzymes that have been studied in our labs using computer simulations. The combination of molecular dynamics simulations and enzyme or cell growth experiments was instrumental to explain why certain mutations lead (or do not lead) to resistance to targeted therapy aimed at these proteins. Stochastic network simulations were used to study protein-protein interactions and suggest points for intervention against tumour growth.