Family of angiogenesis models with discrete delays

We will discuss a family of models with delays describing the process of angiogenesis, that is a physiological process involving the growth of new blood vessels from pre-existing ones. This family includes the well known models of tumour angiogenesis proposed by Hahnfeldt et al. and Ergun et al. and is based on the Gompertz type of the tumour growth. The family of considered models depends on two time delays and a parameter which reflects how strongly the vessels dynamics depends on the ratio between tumour and vessels volume.