Time delay in necrotic core formation.

A simple model of avascular solid tumour dynamics is studied in the paper. The model is derived on the basis of reaction-diusion dynamics and mass conservation law. We introduce time delay in a cell proliferation process. In the case studied in this paper the model reduces to one ordinary functional-dierential equation of the form that depends on the existence of necrotic core. We focus on the process of this necrotic core formation and the possible in uence of delay on it. Basic mathematical properties of the model are studied. The existence, uniqueness and stability of steady state are discussed. Results of numerical simulations are presented.