EGFR Signaling Pathway estimation using a RISE-based asymptotic observer

In this paper a RISE (Robust Integral of the Sign Error) observer approach is used for estimating the concentrations of the proteins that participate in the reactions of a biological system. The system under study is the Epidermal Growth Factor Receptor (EGFR) Signaling Pathway. The EGFR family is directly related with diseases such as multiple sclerosis or Alzheimer and its members are important in basic research and drug development. The RISE observer provides estimates that rapidly converge asymptotically to the system´s states and their derivatives. Simulation studies verify the effectiveness of the proposed approach.