Dynamical Behaviour of a Time Delay Model of the ERK and STAT5 Interaction

Abstract

In this paper we have done sensitive analysis of a time delay model which describes the ERK and STAT5 interaction. The results show that the type of the equilibrium point of the model can be a compound saddle-focus or a compound saddle-knot. This means that the model is structurally unstable. From the biological point of view in case of interactions between ERK and STAT the proto-oncogenes may turn into oncogenes.

Keywords

• Sensitive Analysis
• Time Delay Model
• ERK - STAT5 Interactions