Using network descriptors for comparison of vascular systems created by tumour-induced angiogenesis

Abstract. We check-out a set of statistical network descriptors for classification of various vascular networks generated by model of Tumour Induced Angiogenesis. In the model two spatio-temporal scales representing global behaviour of vascular network and local processes in surround tissue are clearly separated. The grid of cellular automata (CA) corresponds to both healthy and cancerous tissues as well as it is used as the environment for simulating the fast processes of nutrients (O2) and TAF (tumour angiogenic factors) diffusion. Vascular network is modelled by using irregular graph of cellular automata placed on the top of CA grid. The model is controlled by a selected set of parameters reflecting influence of various factors such as: TAF and O2 concentration and model parameters responsible for vessels sprouting and anastomosis. We discuss an application of single network descriptors against approach based on using a set of various descriptors subjected multidimensional analysis method.