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Sensitivity analysis of autonomous oscillations: application to biochemical systems

By Brian P. Ingalls


This work addresses sensitivity analysis of autonomously oscillating biochemical systems by extending previous treatments which considered special cases or empirical approximations to system response. Building on results from the engineering literature, an analysis is presented which addresses sensitivity of key features of the oscillatory trajectory: namely the period and local maximum or minimum values of species concentrations and reaction rates. A discussion of sensitivity invariants generalizes results from steadystate sensitivity analysis to this context

Year: 2009
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