A Stability Analysis Method for Biochemical Reaction System with Inhibitory Feedback Loop.

SUMMARY In this study, we propose an application methodology of the Nyquist criterion for biochemical reaction systems with the biological negative feedback loops. The molecular robot or a real biochemical reaction system such as an intracellular signal transduction system utilizes negative feedback regulation to enhance the stability and robustness. However, since such a system tends to be a high dimensional, nonlinear, and complex system with multiple feedback loops, it is troublesome to quantitatively evaluate the stability margin of the whole system in terms of a particular feedback loop. We show that by modifying the system gain the Nyquist criterion can be appreciable for this problem, and as a result the stability margin can be calculated. [ABSTRACT FROM AUTHOR]

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