Robustness and Sensitivity Analyses in Cellular Networks
Robustness and Sensitivity Analyses in Cellular Networks
This chapter introduces the useful model-analytic tools of both sensitivity analysis and structured singular value analysis and their application to cellular networks. It reviews the Nyquist stability criterion and extends it to conditions guaranteeing robust stability (RS). It then examines the structured singular value analysis for robust performance. This chapter shows that control-theoretic tools, such as sensitivity analysis and phase sensitivity, offer powerful means for network elucidation and manipulation in biological systems. It suggests that using tools from control theory to guide both mathematical modeling and experimental design can facilitate the iterative paradigm of systems biology and shed light on the complex network behavior underlying biological organisms.
Keywords: sensitivity analysis, structured singular value analysis, cellular networks, Nyquist stability criterion, phase sensitivity, biological organisms, control theory, mathematical modeling, systems biology, network behavior
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