Observer Based Intervention Design for Breast Cancer Network

Abstract

It has been shown that growth factor signaling pathway is responsible for the over expression of FASN which is the cause of breast cancer. All the nodes of pathway are logically connected, using the Boolean rules the mathematical model for FASN pathway is formulated. Selected drugs for each nodes are identified and use as control input to form the Boolean control network model for intervention design. The observability of such Boolean control network model can be checked. The state observer, Luenberger-like observer with its transition matrix are formulated for FASN pathway than the states of model are estimated using input state trajectories. The intervention/controller design for signaling pathway need the state vector estimation which can be obtained by Luenberger-like observer. A global attractor is find using the transition matrix of the model which gives the state feedback matrix. The state feedback matrix and the estimated states of observer for the global attractor gives the states of each drugs for inhibited signaling pathway